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UGH UNIVERSITY STUDIED Science and technology Series, No. ! • • TABLES OF THE PROPERTIES OF AQUA-AMMONIA SOLUTIONS Part 1 of The Thermodynamics of Absorption ...

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TABLES OF THE PROPERTIES OF AQUA-AMMONIA SOLUTIONS

UGH UNIVERSITY STUDIED Science and technology Series, No. ! • • TABLES OF THE PROPERTIES OF AQUA-AMMONIA SOLUTIONS Part 1 of The Thermodynamics of Absorption ...

UGH UNIVERSITY S T U D I E D ••

Science and technology Series, No. !

TABLES OF THE PROPERTIES OF
AQUA-AMMONIA SOLUTIONS

Part 1 of The Thermodynamics of Absorption Refrigeration

BUIIOESS H. JENNINGS, _ . _ . , M.S.
Associate Professor of Mechanical Engineering

and
FRANCIS 1\ SHANNON, B.S. in M.S., M.S.
Formerly 0. Kemble Baldwin Hcscanli Fellow

' h \f*e1:
.....

\ws>,«*t_v*

Reprinted from Refrigerating Engineering

LEHIGH UNIVERSITY
BETHLEHEM, PENNSYLVANIA

938

Lehigh • iiinTsi! | arising
Ity which for any reason are not
:n the Institute ol Besec-cn.

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(List • ontiuued on inside back cover)

231677 %

The Thermodynamics

Of Absorption Refrigeration

Part 1. Tablet of the Propertie* of Aqua-Ammonia Solutiont
By Burgess H. Jennings1 and
Francis P. Shannon2

THESE tables of aqua-ammonia make available com- Standards Ammonia Tables (16), which use a datum of
plete and accessible tabulations, in the English lan- —40" F., must have 77.9 subtracted from them to permit,
guage and in customary engineering units, of the proper- their use with these aqua tables. However, as the aqua
ties of aqua-ammonia solutions. The richest sources of tables are rather complete in themselves the use of the
basic data in this field are found in German literature, Bureau of Standard Tables in absorption refrigeration
although some experimental work has also been done in should seldom be necessary. In deciding the question of a
the United States, England and France. The problem datum point temperature, both steam-water with its
faced by the authors was one of first critically evaluating 32" F. datum and ammonia with the customary —40° F.
the various sources of data, then of correlating and pre- datum were considered for setting the temperature, as was
paring the best of these data for interpolation (and ex- also the possibility of using a —40* F. datum for the
trapolation), and finally of preparing the tables. No ammonia phase and a separate 32" F. datum for the
basic experimental work was done by the authors. The water-steam phase. The single 32° F. datum appeared
previously published work of A. A. Berestneft* (1) and preferable and was adopted. Thus the enthalpy of pure
A. B. Stickney (2) in this country, who prepared charts water at 32° F. and of anhydrous ammonia at 32° F.
and tabulations, should be mentioned, as they were the are each taken as essentially zero for these tables.
first to make use of the recent German data in this field.
Enthalpy values for sub-cooled liquid can also be read
The form selected for the tables gives as arguments; from these tables. Sub-cooled liquid is liquid at a tempera-
pressure in pounds per square inch absolute as ordinate ture lower than that at which it is saturated under its
and weight concentration of the ammonia in the liquid as super-imposed pressure. Thus liquid at 181.4* F. with a
abscissa. For each value of pressure and of weight con- concentration of 32 per cent has an h, of 63.8 Btu. per lb. at
centration, there are tabulated: its saturation pressure of 100 lb. per sq. in. or in sub-
cooled state at any higher pressure such as 150 lb. per
t temperature in *F., at which a solution of the con- sq. in. Sub-cooled liquid frequently occurs in practice.
centration given is saturated, i.e., boils under the This constancy of values for sub-cooled liquids disregards
pressure in question. the slight magnitude of the so-called feed-pump work.

lit enthalpy (total-heat) Btu. per lb., of the saturated A separate table (Table 2) for specific volume values of
liquid aqua. saturated or sub-cooled aqua is also presented. A chart
showing the freezing point temperatures of ammonia-
It. enthalpy (total-heat) Btu. per lb., of saturated va- water solutions appears as Fig. 1. For convenience in
por in equilibrium with above mentioned liquid. changing from molal to weight concentration, or vice
versa, Fig. 2 has been prepared. The molecular weight of
x. weight percentage ammonia concentration of N'H. being 17 and of H.0 18, the data of Fig. 2 give for
saturated vapor in equilibrium with the above men- example at .36 molal, .36 — .0131 — .3469 wt. and at
tioned liquid. Thus, if the liquid were heated, vapor .32 wt., .32 -f .0126 = .3326 molal.
of this concentration (x.) would start to rise from
it and each lb. of vapor generated would have an The P, T, X relations of the ammonia-water system,
enthalpy of magnitude h.. under conditions prevalent in the absorption cycle, have
been studied to some extent by several investigators (3)
The enthalpy (total-heat) function, of such wide utility (4). However, the recent work of WUcherer (5) offers
with simple fluids, can also be applied for fluid mixtures the most extensive and precise set of data on these rela-
as in this case of ammonia and water. Thermodynamically, tions. The investigations of Zinner (6), corroborated by
enthalpy is what is known as a point function, i.e., the those of Baud and Gay (7), provide quite complete data
magnitude of the value for a given condition is inde- for computing the enthalpy of the liquid phase. Hither-
pendent of the path by which the fluid is brought to that to this function had been derived entirely from the very
condition. In the case of liquid, ammonia-water mixtures, limited data of H. Mollier ( 8 ) . Because of the compre-
the heat of solution has been considered in computing hensive range and the thermodynamic consistency of the
the enthalpy values. In the case of the vapor mixtures data by WUcherer and Zinner ( 9 ) , these sources were
the heat of mixing is considered zero. This is very closely used exclusively in these tabulations for the P, T, X
true with vapors free from liquid. The datum for en- relations of the liquid and vapor phases and for the en-
thalpy computations was taken as 32" F. Thus enthalpy thalpies of the liquid phase. The enthalpy of the vapor
readings for anhydrous ammonia from the Bureau of phase was calculated on the accepted assumptions that
the vapor phase follows Dalton's law of partial pres-
* Presented at the JJrd Annual Meeting- of The American Society of sures, and that there is no heat of gaseou? solution (10).
Refrigerating Engineer*. New York. N. V.. Jan. 2e>. 193S. Copyright The properties of the pure components were taken from
privileges held by RirticrisTiNG KNCINBIIINC. the Bureau of Standards Ammonia Tables (16) and
Keenan's Steam Tables (15).
1 Associate Prof, of Mechanical Engineering. Lehigh University.
* Refrigerating Engineer. I'ottsville Shops, Philadelphia sad Reading
Coal and Iron Company, formerly C. Kenible Baldwin Research Fel-
low at Lehigh University.
Copyright. 193$, The American Society of Refrigerating Engineers.

Reprinted from the May, 1938, itsue of Refrigerating Engineering

• 200 temperature for a given liquid con-

— centration, the equilibrium vapor
concentration was calculated. The

••100 final constant pressure lines in Eng-

lish units were then readily obtained

by standard multiple difference in-

+ 50 terpolation formulae.

— The liquid phase enthalpies were
derived from the data of Zinner (6)

0 —— - by exactly the same method used for
the P, T, X relations, namely, suc-
\ SOLU T I O N cessive interpolation with multiple
\ \- 5 0 difference formulae.

\ The enthalpy of the vapor phase
was calculated in the following man-
ICE*.«»OLUT ION ner. The partial pressure of each
component is considered proportional
-I0O \ to the molal concentration of that
component in the vapor. The en-
""£ ~ J_> isoc ~' -—,v _ _ - --^SOLIDNHs- thalpy, using the weight concentra-
/* <H5 HsO tions, of these components, is then
4 SOL. found from the appropriate anhy-
8. SOL. drous ammonia or steam tables as
superheated vapor existing at the
--—- NHyH,C 2NH3 H20 +SOLID NHj calculated partial pressures and
1+
1 )7 0 8 0 9
ri
( zi0 0 J 3 A0 50 6 0 J0(

WEIGHT «* NH..

FIG. 1. AQUA AMMONIA FREEZING POINT CURVE. equilibrium temperatures. The en-

thalpy of the aqua ammonia vapor

The values for the specific volume of the liquid phase is then considered the sum of that of the two com-
were derived from several sources (7) (11) (12) (13) ponents. These calculations were made for all key isobars
by a method to be described later. The freezing point and subdivided into final pressure intervals by inter-
data for aqua ammonia were taken from the Critical polation.

Tables (14). To calculate values of specific volume of the liquid

The P, T, X relations of the liquid phase were taken phase under conditions found in the absorption cycle, it

uncritically from the data by WUcherer and are presented was necessary to extrapolate considerably from known

essentially in the form used by him, namely with P and X data. Use was made of a basic thermodynamic relation

as the arguments. This was done to minimize the labor developed by V. Fischer (9), which states that the molal

and possible error of interpolation. Constant pressure mixture-contraction (the molal volume of the components

lines were selected at close intervals

from WUcherer data and interpolated

to smaller sub-intervals of concentra-

tion by standard multiple difference

interpolation formulae. These formu- 014
lae were carried to the point that

further computation had no effect on

the second decimal place. The "second 012 / \\
differences" of the interpolation meth- \
ods were usually adequate for this * / \
degree of precision. The resulting iso- \
bars, expressed in metric atmospheres, y OIO t
were then sub-divided into pressure \
intervals in lb. per sq. in. absolute by z_ / \
similar interpolation methods. From /
the resulting data, many arbitrarily a: \
selected values were checked against /
the original data by bivalent interpo- u. A
lation. The vapor concentrations in i1 V
equilibrium with the liquid phase for u.
the above key isobars had to be cal- a.008 11
culated by another method, because
oz

_

IZd. 0 0 6

oUz
u

.004

the rapid curvature of their path is / \
too severe for usual interpolation
methods. The method used was to -J/ -Av
deterriiine the deviation between the
002

vapor concentration, as calculated by 1. 0 0 0 WEIGHT CONCEN r R A T I ON
Raoult's Law, and the vapor concen- c 1 X >1 •« 1 5
tration of WUcherer (5). This devia- VJ
tion was then plotted to high precision •1 •*3 s T *
*.MOLAL CONCENTRATION

against temperatures and a smooth re. 2. CONCENTRATION CONVERSION CURVE. MOLAL (.r) — WEIGHT (_»)

curve drawn through the values. ,_—(j_)„ [__.) .
From this curve, by reversing the
calculation and using the liquid phase

\ 18-W \ w + \7l

TABLE I—PROPERTIES OF AQ

AMMONIA CONCENTRATION,

10 15 20 22 21 26 28 30 32 ft* 36 38 40 42 44 46 48

t 101.8 89.3 78.0 68.0 58.6 49.6 28.9 12.4 6.3 40.2 —5.8 — 11.2 —16.3 —21.4 —31.0 —35.7 —40.3 —44.9 —49.5 —54.2 —59.0
lit 69.7 49.7 32.8 15.6 —0.9 -16.6 —52.7 —85.7 —120.6 — 131.4 -141.8 -151.2 —194.4 —199.7 —204.4
h» 1105.0 979.5 876.2 793.0 727.7 678.0 —97.8 —109.5 -160.0 —168.1 —175.5 —182.2 —188.6 525.4
x, 0.00 J0.20 52.20 66.70 624.3 586.2 576.5 567.6 551.0 549.4 546.8 544.2 341.6 539.0 535.6 532.2 528.8
76.30 83.00 91.20 96.00 583.6 581.2 99.20 99.40 99.50 99.70 99.80 99.95 99.98 99.99 100.00
t 126.1 112.7 100.8 90.4 100.00 100.00 100.00
bf 94.0 74.6 56.1 38.8 81.1 72.6 53.7 35.8 96.50 98.00 16.8 10.8 4.1 —0.8
h. 1115.6 22.3 6.6 —28.6 —61.9 —97.6 —109.0 -120.2 — 130.2
989.8 886.3 •02.* 737.2 29.1 22.8 —6.3 —11.6 —16.8 —21.8 —26.8 —31.6 —36.3 —40.9
m o.oo 29.70 51.20 73.90 687.2 631.5 592.5 —74.1 —86.0 580.6 571.0 552.3 551.5 —139.5 —148.2 —156.1 —163.2 — 169.8
64.8S 81.50 90.50 95.50 98.83 99.15 99.35 99.57 —175.8 —181.1 —185.7
t 141.5 127.6 115 6 95.9 589.1 585.9 348.7 3461 343.7 541.5 538.7
hi 109.1 89.8 71.4 105.1 36.4 87.5 68.8 50.6 96.23 97.70 30.* 24.6 18.6 12.8 535.8 532.7 529.3
hs 1122.0 997.5 894.8 53.5 746.2 21.8 — 13.2 —46.7 —82.8 —94.5 -106.1 -116.4
x. 0.00 -'9.15 50.30 72.00 696.0 99.71 99.90 99.93 99.96 99.97 99.97 99.98 99.99
811.8 79.90 638.3 598.5 584.6 574.3 557.6 553.6
t 153.0 139.2 127.1 63.76 107.2 89.80 95.00 43.7 37.1 98.46 98.90 99.18 99.44 7.1 1.3 —3.9 —9.1 —14.2 —19.2 —24.1 —28.8
ht 120.8 101.2 82.7 48.7 98.7 —59.0 —71.0 -126.0 —134.9 —143.1 —150.4 — 157.3
1003.8 902.2 116.6 754.8 33.0 79.9 61.4 41.5 35.2 29.1 23.1 —163.4 —168.7 —173.3
hm» 1o1.26o.8o 48.93 65.2 71.23 704.2 — 1.9 —35.6 594.5 590.6 —71.9 —83.7 —95.5 -105.9 550.3 547.9 545.7 543.7 541.7
28.50 819.8 78.72 644.7 96.00 97.40 99.63 99.84 99.88 99.93 539.4 536.6 533.1
t 162.2 136.7 62.35 116.7 604.1 589.1 578.9 562.6 558.4 99.94
ht 1J0.1 148.7 92.3 58.4 108.1 89.05 94.48 98.10 98.65 99.01 99.32 99.94 99.96 99.98
h, 1130.6 110.6 126.1 42.7
«f o.oo 1009.3 908.9 74.9 762.3 89.0 70.4 54.4 47.8 50.3 43.9 37.6 31.6 17.3 11.6 61 0.7 —4.6 —9.7 —14.7 —19.6
27.83 47.56 70.46 712.0 7.5 —26.3 —47.9 —60.0 —63.0 —74.9 —86.8 —97.2
827.2 77.54 -115.6 —124.6 —132.8 —140.2 — 147.2 — 153.4 —158.9 — 163.6
60.91 650.8 609.4 599.6 595.2 593.2 583.1 567.2 562.7 554.8 551.8 548:9 545.9 543.6
88. J 3 93.97 95.75 97.10 97.72 98.40 V8.85 99.20 541.1 538.5 535.3

99.55 99.77 99.84 99.89 99.92 99.92 99.94 99.97

63.4 56.7 25.7 19.9 14.3 8.9 3.6 —1.6 —6.8 —11.8
—38.8 —51.0 - 1 0 7 . 0 — 116.1 —124.3 — 131.8 —138.8 — 145.1 — 150.7 —155.6
551.8 548.0 545.4
604.3 599.6 358.9 $55.3 542.9 540.3 537.5
95.50 96.80 99.80 99.86 99.90 99.91 99.93 99.95
99.47 99.70

t 170.1 156.6 144.7 134.2 124.6 116.0 96.7 77.9 70.8 64.1 57.7 51.3 45.0 38.9 32.9 27.1 21.3 15.7 10.3 5.0 —0.2 —5.3
|M 137.9 118.6 100.3 82.9 66.4 50.7 15.3 — 18.6 —31.1 —43.3 —55.4 —67.3 —79.2 —89.7 -117.2 -124.9 -132.0 -138.4 -144.1 -149.0
6 h. 1131.7 1014.2 915.0 834.1 656.6 —99.6 -108.8 554.5
7 X . 0.00 60.21 769.5 719.3 87.83 614.3 608.6 603.5 596.9 586.7 571.2 566.5 550.1 547.3 544.7 542.2 539.7
8 26.94 46.47 69.57 76.77 93.60 95.25 96.50 97.50 98.15 98.63 99.07 562.4 338.5 99.76 99.84 99.88 99.90 99.92 99.93
•j t 176.8 140.8 102.9
IM 144.7 163.3 151.4 89.7 131.3 122.5 21.7 84.1 77.0 70.2 63.7 57.4 51.1 45.0 99.39 99.63 27.0 21.1 15.6 10.2 S.O —0.1
59 124.4 107.1 840.3 73.1 57.3 661.9 —12.3 —24.8 —37.1 —49.1 —61.0 —72.8 -111.4 -119.4 -126.6 -133.1 -138.8 -143.7
m 1136.4 1018.5 920.5 59.57 776.1 72*. 0 87.36 ~569.9 38.9 32.9 544.2
r 68.88 76.48 618.8 612.6 607.1 600.2 590.1 574.8 98.97 557.1 552.3 549.3 546.7 541.8
Xs 0.00 26.18 45.50 146.6 108.5 93.33 95.00 96.25 97.18 97.92 98.42 —93.4 -102.7 99.72 99.83 99.86 99.89 99.91 99.92
srmm 10 95.6 137.0 128.2 27.6 50.1
t 1*2.9 169.3 157.3 846.1 79.0 63.2 89.6 82.5 75.7 69.1 62.6 56.4 —78.0 565.6 561.4 32.1 26.2 20.6 15.2 9.9 4.8
11 ht 150.8 131.4 113.0 58.63 666.8 —6.4 —19.0 —31.3 —43.4 —55.4 —67.3 -106.2 -114.1 -121.4 -128.0 -133.8 -138.7
12 h. 1138.9 1022.6 925.6 782.3 732.2 86.80 622.9 573.1 99.31 99.5* 559.6 554.3 551.4 546.1
25.52 44.70 151.8 68.10 75.37 616.2 610.3 603.3 593.1 578.1 98.87 548.6 543.8
I IS 0.00 100.8 113.4 93.05 94.80 96.00 96.96 97.75 98.33 44.0 38.0 99.68 99.81 99.84 99.88 99.90 99.91
174.6 162.5 851.5 142.1 133.2 32.9 54.8 —88.0 —97.4
14 188.3 136.7 118.3 84.2 68.4 671.3 94.6 87.5 80.6 73.9 67.4 61.0 —73.2 36.6 30.8 25.1 19.6 14.3 9.1
15 156.2 1026.2 930.3 57.78 788.0 738.0 86.42 —1.3 — 13.9 —26.2 —38.4 — 50.4 —62.5 568.5 5*4.2 -101.4 -109.3 -116.6 -123.3 -129.1 -134.2
1141.0 67.42 74.72 626.7 576.1 99.23 99.49 562.1 556.7 553.5 550.6 548.1
16 24.93 43.98 156.5 118.0 619.6 613.3 606.0 595.9 581.2 98.77 545.8
17 0.00 105.7 146.8 137.9 37.5 92.77 94.55 95.82 96.80 97.62 98.25 48.6 42.6 99.64 99.78 99.82 99.85 99.89 99.90
18 179.5 167.3 856.5 89.0 73.2 59.(1 —»3.2 —92.7
19 193.2 141.6 123.2 675.5 99.1 91.9 85.0 78.3 71.7 65.3 —68.8 40.8 34.9 29.2 23.6 18.2 13.0
20 161.1 1029.6 934.7 57.17 793.3 743.3 85.98 3.3 —9.4 —21.9 —34.0 —46.0 —58.1 571.4 566.8 -97.2 -105.2 -112.6 -119.2 -125.1 -130.2
1143.0 24.48 66.88 74.18 622.3 578.7 99.15 99.42 564.4 558.9 555.6 552.6 550.1
43.37 630.2 615.5 608.5 598.4 583.9 98.66 547.7
0.00 92.49 94.31 95.61 96*1 97.50 98.15 52.8 46.7 99.60 99.75 99.80 99.84 99.88 99.89
—79.0 —68.4

573.9 569.3
99.06 99.36

t 197.1 184.1 171.9 161.2 151.4 142.4 122.2 103.2 96.0 89.1 82.4 75.8 69.4 63.1 56.9 50.7 44.6 38.6 32.9 27.3 21.9 16.6
bf 165.7 146.2 127.8 110.3 93.6 77.8 41JB 7.5 —5.2 — 17.6 —29.8 —41.9 —53.8 —64.6 -74.8 —84.3 -108.8 -115.5 -121.4 -126.5
hs 1144.8 1032.6 938.6 861.0 625.3 576.2 —93.2 -101.3 558.0 552.3
42.74 798.0 748.1 679.4 633.3 617.7 610.7 600.6 386.3 381.0 571.6 555.0 549.7
m o.oo 23.92 56.47 66.32 73.62 85.56 92.21 94.07 95.40 96.44 97.35 98.04 98.59 99.00 99.30 566.7 561.3 99.78 99.82 99.87 99.88
176.2
t 202.0 188.4 132.1 165.4 155.9 146.6 126.3 107.1 99.9 93.0 86.4 79.8 73.3 67.0 60.8 54.6 99.56 99.71 36.5 30.9 25.4 20.1
hi 169.9 150.5 942.2 114.6 97.9 82.0 45.9 11.5 — 1.2 —13.6 —25.8 —37.8 —49.8 —60.5 —70.7 —80.3 -105.0 -111.7 -117.6 -122.8
h. 1146.4 1035.4 42.17 865.1 627.9 48.4 42.3 560.2 554.3
23.44 55.83 802.5 752.6 683.0 636.3 619.9 612.8 602.6 588.5 583.1 378.3 573.7 —89.2 —97.4 557.1 551.7
m o.oo 180.3 65.81 73.14 85.18 91.99 93.85 95.24 96.31 97.25 97.96 98.52 98.94 99.23 99.76 99.81 99.86 99.87
192.4 136.2 169.1 568.9 563.5
t 205.9 154.6 945.7 118.7 159.6 150.5 130.2 110.8 103.6 96.8 90.2 83.6 77.0 70.7 64.4 58.2 99.52 99.68 40.0 34.3 28.8 23.4
ht 173.8 1038.1 869.1 102.0 86.0 49.8 15.4 2.6 —9.8 —22.0 —34.0 —45.9 —56.7 —66.9 —76.4 -101.4 -108.1 -114.1 -119.3
h» 1147.9 41.65 806.7 622.1 52.0 45.9 562.0 558.9 556.0 553.2
x. 0.00 23.02 55.23 756.9 686.4 639.1 630.4 614.8 604.6 590.7 585.3 580.4 375.5 —85.4 —93.7
185.0 65.36 72.72 84.83 91.81 93.65 95.10 9619 97.15 97.89 98.45 98.88 99.20 99.74 99.79 99.85 99.86
209.6 196.8 140.0 172.8 570.8 565.4
177.6 158.3 948.7 122.5 163.8 154.3 134.0 114.4 107.1 100.3 93.7 87.1 80.5 74.2 67.9 61.6 99.48 99.64 43.3 37.6 32.0 26.6
1149.3 1040.4 41.12 872.6 105.9 89.9 53.5 19.0 6.2 —6.2 —18.4 —30.4 —42.3 —53.1 —63.3 —72.9 -98.0 -104.7 -110.7 -116.0
810.5 760.7 624.3 55.4 49.2 563.9 557.6 554.7
0.00 22.60 187.7 54.64 72.30 689.7 641.9 632.9 616.8 606.5 592.6 587.1 382.2 577.5 —81.9 —90.2 560.7
143.6 64.90 84.48 91.64 93.50 94.94 96.07 97.06 97.82 98.38 98.82 99.15 99*. 72 99.78 99.84 99.86
213.0 199.7 952.4 176.5 157.9 572.6 567.3
181.0 161.8 40.63 126.1 1*7.0 93.5 137.4 117.7 110.4 103.6 97.0 90.4 83.8 77.4 71.1 64.8 99.44 99.61 46.4 40.6 35.0 29.6
11506 1043.1 876.7 109.5 57.1 22.6 9.7 —2.8 —15.0 —27.0 —38.9 —49.7 —59.9 —94.8 -101.5 -107.6 -112.9
814.7 764.8 626.6 579.5 58.6 52.3 565.2 562.0 558.9 555.9
0.00 22.27 54.13 71.87 691.7 643.1 635.0 617.4 607.5 594.5 589.1 584.3 99.10 —78.6 —87.0
64.44 84.18 91.45 93.32 94.82 95.95 97.00 97.75 98.31 98.76 99.70 99.76 99.83 99.85
574.1 568.8
99.40 99.58

t 216.3 203.0 191.0 180.2 170.4 161.3 140.* 120.8 113.5 106.6 100.0 93.4 86.7 80.3 74.0 67.7 61.4 55.1 49.2 43.4 37.8 32.3
hi 184.4 165.2 146.9 1295 112.8 96.8 60.4 25.8 12.9 0.4 —11.8 —23.* —35.8 —46.6 —56.9 —66.6 —75.7 —84.0 —91.8 -110.1
hs 1151.8 1045.1 954.9 879.8 818.1 —98.7 -104.8 556.9
40.19 768.5 695.9 646.8 637.1 628.7 620.1 609.8 596.2 590.5 585.5 580.7 575.6 570.2 566.6
m ooo 22.00 53.68 63.98 71.46 83.91 91.26 9.U6 94.70 93.8* 96.90 97.67 98.24 98.70 99.05 99.36 99.55 99.68 563.3 560.1 99.85
194.1
150.3 183.4 173.6 164.5 143.6 123.8 116.4 109.5 102.8 96.2 89.5 70.4 64.1 37.8 31.8 99.75 99.82 34.8
957.6 132.9 116.2 100.3 63.6 28.9 16.0 3.3 —9.0 —21.0 —32.9 —63.8 —72.9 —81.3 —89.0 -107.5
t 219.4 206.1 882.9 821.6 772.0 698.8 621.7 83.0 76.7 46.0 40.3
hi 187.5 168.5 34.77 83.65 649.2 639.2 630.5 611.3 597.8 —43.8 —54.1 582.0 577.0 371.5 567.9 557.9
h» 1152.9 1047.1 53.27 63.55 71.07 91.07 92.98 94.57 95.72 96.80 97.60 99.00 99.32 99.52 99.6* —96.0 -102.1 99.84
x* 0.00 21.75 197.2 146.5 592.0 586.9
153.3 187.6 176.8 167.6 66.6 126.7 119.3 112.3 10S.S 98.8 92.2 98.18 98.64 73.0 66.6 60.3 54.3 564.5 561.2 37.3
9*0.2 135.9 119.3 103.J 31.9 18.9 6.3 — 18.2 —30.1 —*t.l —70.2 —78.7 —86.4 -104.9
39.20 885.9 824.8 775.3 701.5 623.4 99.73 99.81 558.9
52.80 63.10 70.70 83.31 651.3 641.2 632.3 95.61 612.9 599.4 S83.2 578.1 572.5 569.0
222.4 209.1 200.2 90.88 92.82 94.45 96.72 97.53 85.7 79.3 98.95 99.28 99.49 99.64 48.5 42.8 99.84
190.5 171.3 154.4 1895 179* 170.5 149.2 10S.2 —41.0 —51.4 —93.4 —99.6
1154.0 1049.1 962.6 139.0 122.4 106.4 69.3 129.4 122.0 114.9 —3.3 101.4 94.8 75.5 69.1 62.7 56.7 39.6
888.7 827.8 778.4 34.7 21.7 9.0 623.0 — 15.4 —27.3 593.5 588.2 —38.4 —*7.6 —76.1 —83.9 565.6 562.2 -102.5
0.00 ii.se 38.90 62.70 70.34 704.2 643.3 98.12 98.58 99.72 99.80
52.45 83.13 653.8 92.69 6J 4.2 95.35 614.5 601.0 584.6 579.5 373.9 570.1 559.8
225.2 212.0 203.0 182.5 173.2 90.49 94.31 96.63 97.47 88.3 81.9 98.90 99.24 99.47 99.62 50.8 45.1 99.83
193.3 174.5 159.1 192.4 I2S.1 109.1 151.8 124.5 110.6 —38.3 —90.9 —97.1
1155.0 1050.9 9*4.9 141.1 830.7 781.4 72.3 132.0 24.4 117.4 —0.6 103.8 97.2 5«9> 77.8 71.4 65.0 58.9 41.8
31.30 891.4 62.29 37.4 11.7 626.7 — 12.8 —24.8 595.0 98.32 —56.0 -—ft 5 *. —73.8 —81.3 566.6 563.2 -100.1
O.OO 38.60 69.99 706.9 645.2 98.06 99.70 99.79
52.1$ 82.94 *56.0 92.54 635.9 95.4* 616.0 612.5 385.9 580.7 $75.1 571.3 560.9
228.0 214.8 10 90.52 94.16 96.54 97.39 90.7 •4.2 •MS 99.20 99.44 99.60 53.1 47.4 99.83
196.0 177.2 15 22 —35.8 —44.2 —88.6 —94.8
1156.0 1052.6 20 28 SO S6 38 40 42 48
596.4 591.0 567.8 564.3
0.00 21.14 98.00 99.68 99.78
_ _98_.46
32
24 26 44 46

QUA-AMMONIA SOLUTIONS

, WEIGHT PER CENT

50 55 60 65 70 75 80 85 87 91 92 93 95 97 It*

—64.0 —74.5 —83.4 —90.5 —95.1 —97.6 —99.6 -10O.9 — 101.5 -102.2 — 1 0 2 * —102.8 -103.1 —103.4 -103.6 —103.8 —104.1 —I04.J —104.3 —104.7 —105.0 t
—208.6 —216.2 —219.8 —210.2 —200.9 — 189.3 —184.3 —171.0 — I6M.I hi
-220.6 -217.6 -179.3 —176.7 —173.9 -165.2 — 1590 —153.6 —1524 —149.3 —144.8 hs 1
522.0 516.5 510.9 503.4 501.2 498.7 497.7 495.0 494.4 xs 2
100.00 100.00 100.00 507.2 505.5 loo.oo 100.00 100.00 100.00 4*6,1 496.2 495.6 100.00 100.00 493.8 493.2 492.7 4922 491.7 491.2 490.7 3
1 4
—45.4 —55.8 —65.0 100.00 100.00 —79.6 —82.1 1*9.00 l o o . o o —86.2 100.00 100.00 100.00 100.00 100.00 100.00 100.00 hi 3
—189.5 —197.3 —201.8 — 191.2 — 181.8 -152.3 h»
—71.6 —76.4 —84.0 —84.6 —63.3 —83 6 —•5.9 —86.4 —86.7 —86.9 —87.2 —47.$ —67.7 —8*0 —66.2 xs
525.4 5194 514.4 507.2 506.4 500.3
99.99 99.99 100.00 —202.2 - 1 9 8 . 5 100.00 100.00 —179.3 —165.4 —1*6.4 —137.8 —155.1 100.00 — 149.5 —146.7 —143.8 —140.8 —137.8 —134.8 - 1 3 1 . 8 —128.7 t
bf
—33.5 —44.1 —53.4 511.4 510.7 —68.0 —71.0 503.1 $02.3 $61.6 301.2 SoO.8 —75.3 499.7 499.4 499.0 4986 496.2 497.1 497.4 494.3 hs
—177.1 —185.2 —190.4 —179.0 —169.9 —140.» x.
100.00 100.00 100.00 100.00 1M.06 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00
528.6 522.3 517.7 511.0 509.1 505.6 t
'99.98 99.99 99.99 —59.1 —63.9 100.00 1U0.O0 —73.2 —73.9 -»74.f —74.7 —75.0 100.00 — 75.6 —75.9 —76.2 —76.4 —76.7 —77.0 —77.3 —77.6 bt
bs
—24.4 —35.2 —44.7 —190.1 —185.6 —59.4 —62.7 —158.9 —134.0 — M U —1462 — 143.6 —47.3 — 138.0 — 135.2 —1,12.4 —129.5 —126.5 —123.6 —120.4 —117.6 x.
— 167.6 — 176.0 —181.6 -170.1 —161.3 -132.3
515.5 513.3 507.4 506.9 $064 506.2 505.9 505.3 505.0 504.7 504.4 $04.1 $03 8 503.5 503.2 t
531.6 525.7 520.8 513.5 511.7 508.8 bf
99.97 99.98 99.99 100.00 100.00 100.00 100.00 100.00 100 00 1 106.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 lis

—16.7 —27.7 —37.4 —50.1 —54.9 —52.7 — 56.0 —65.2 —660 - 4 6 $ ——66.7 .0 —*1.0 - 4 7 . 4 —67.9 —68.2 —68.3 —68.8 —69.0 —49.3 —69.6
—159.7 —168.4 —174.1 — 181.0 -176.3 — 162.3 —1S3.4 -150.5 — 145.5 —140.4 -125.7
—137.7 -135.0 —129 5 -126.7 —123.9 —121.0 —118.1 —113.2 -112.2 —109.3
534.4 528.9 523.7 518.2 515.8 515.8 514.1 510.2 509.7 5094 511.6 307.8 507.3 $07.3 507.0 504.7
99.96 99.98 99.99 99.99 100.00 100.00 100.00 100.00 100.00 509.2 509.0 loo.oo 508.5 508.3 508.1

100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00

—43.4 —48.5 —58.6 —59.4 —60.* —60.3 —*0.7 — 6 1 . 3 —61.5 — 4 1 . 8 —62.1 — 6 2 . 3 —62.6 —62.8 —-63.1

—174.1 —169.5 —142.7 —138.1 —133.3 —131.0 —126.4 - 1 2 3 . 0 — 120.3 —117.4 — 114.6 —111.6 — 1 0 6 6 105.5 —102.4

520.7 518.1 512.8 512.4 512.6 5119 511.7 511.4 511.3 511.2 511.0 510.6 510.7 510.5 510.4

99.99 100.00 100.00 100.00 100.06 100.00 100.00 100.00 100.00 100.00 106.00 100.00 100.00 100.00 100.00

— 10.2 —21.4 —31.2 —37.6 9 —47.2 —50.4 —53.0 —53.8 — $4$ —54.8 —55.2 - 5 5 . 5 —55.8 —56.1 - 5 4 . 4 —56.6 —54.9 —57.1 — 57.4 —57.6 I
— 153.0 —161.8 —167.8 —99.6 —9*6 bt
—167.9 —163.8 —157.3 —148.4 — 137.6 —132.8 —127.7 -125.1 —122.4 —119.7 —117.0 — 114.2 -111.3 —108.4 —105.5 — 102.6 bs 6
537.0 531.7 526.3 512.1 512.7 xs 7
99.94 99.97 99.99 523.0 520.3 518.0 516.3 513.0 514.5 514.2 514.0 513.» 513.7 513.5 513.4 513.3 513.1 $13.0 512.9 100.00 100.00 •
x. 9
—4.9 —16.2 —26.2 99.99 100.00 100.00 100.00 100.00 100.99 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 —52.7 —52.9 lt
—147.6 -156.5 — 162.5 —94.7 —91.4 xs
—32.7 —37.9 —41.9 —45.2 —47.9 — 4 J J —49J —50.1 —50.4 —S0.« —51.1 —51.4 -51.7 —32.0 —32.2 —52$
539.4 534.2 528.6 $14.7 514.6 xs
99.93 99.97 99.99 —162.7 —158.5 — 151.8 —143.9 —132.2 —127.5 —122.6 - 1 2 0 . 1 —117.4 — U 4 . » —112.0 — 109.3 -106.4 —103.6 —100.4 —97.7 100.00 100.00

—0.2 —11.6 —21.4 525.1 522.3 520.2 518.4 517.0 516* 3161 $15.9 515.7 515.5 515.4 515.2 315.1 515.0 514.4 514.8 —46$ —48.6
—142.8 -151.7 —157.6 100.00 100.00 loo.oo too.oo mm 100.00 10O.00 100.00 —90.2 —87.1
99.99 100.00 100.00 100.00 100.00 100.00 100.00 100.00
541.6 536.4 530.7 $16.1 5163
99.92 99.96 99.99 —28.1 —33.4 —37.3 —40.8 —43.5 —44.4 —45.4 —45.9 —46.3 —46.6 —47.0 —47.3 _47.4 —47.8 —46.1 —48.3 100.00 100.00
-102.0 —99.2 —94.2 —93.2
4.0 —7.4 —17.0 —157.9 —153.9 —147.0 —138.3 —127.5 —122.9 —1161 - 1 1 5 . * —113.0 —110.4 - 1 0 7 . 6 — 104.9 —44.7 —44.8
—138.4 —147.4 —153.2 514.8 516.6 516.5 5164 —84.2 —83.1
527.0 524.2 522.1 520.3 518.9 518.4 317.9 517.6 517.4 517.2 517.1 516.9 100.00 100.00
543.6 538.4 532.5 too.oo 100.00 $17.8 517.8
99.91 99.96 99.98 99.99 100.00 100.00 100.00 100.00 100.00 190.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00

7.8 —3.6 —13.3 —24.0 —29.4 —33.4 —36.8 —39.6 —40.6 —41.* .2 —42.6 —42.9 —43.3 —43.6 —43.9 —44.1 —44.3 —44.5 —tt.2 —41.3
—134.5 -143.5 —149.2 —153.6 —149.7 —98.1 —95.2 —89.3 —62.4 —79.3
—142.9 —134.3 — 123.6 —118.9 —114.1 —111.7 — 109.1 —106.4 - 1 0 3 . 7 — 100.9 —92.2
545.5 540.2 534.2 528.8 525.9 518.2 518.1 518.0 317.9 519.2 519.2
99.90 99.95 99.98 99.99 100.00 523.9 522.0 520.5 520.0 $19.4 519.1 518.9 5167 5165 518.4 100.00 100.00 100.00 100.00 100.00 100.00

100.00 100.00 100.00 100.00 180.00 100.00 100.00 100.00 100.00 100.00

—20.3 —25.8 —29.9 —33.4 —36.2 —37.2 —362 —38.7 —39.1 —39.5 —39.» —40.1 —40.4 —40.7 —40.9 —41.1
-100.0 —94.4 —91.4 —84.5 —85.5
—149.7 —146.0 —139.3 —130.6 —119.9 —115.4 —110.5 —108.0 —105.4 —102.7 —97.2
520.0 519.8 519.7 519.5 519.4 519.3
530.4 527.5 525.4 523.5 522.0 521.4 320.9 320.6 520.4 520.2 100.00 100.00 100.00 100.00 100.00 100.00

99.99 100.00 1UO.0O 100.00 100.00 100.00 100.00 100.00 100.00

11.4 —0.0 —9.7 —16.9 -22.5 —26.6 —30.1 —32.9 —34.0 —3S.t —35.5 —35.9 —36.3 -36.6 —36.9 —37.2 —37.4 —J7.7 —37.8 —38.0 —36.1 t 11 -
-130.7 -139.8 -145.5 —99.4 —96.4 —93.8 —91.0 —861 —65.1 —82.1 —79.0 —75.4 ht 12 3
547.3 —146.1 —142.4 —135.7 —127.1 —116.4 —111.8 —1*7.* —104.6 —102.0 521.2 IS
541.7 535.6 521.4 521.4 521.0 520.8 520.7 $20.4 S20.$ 5204 $20.4 bs 14
99.89 99.95 99.98 531.8 528.9 526.8 524.9 523.4 322.7 322.1 521.S 100.00 100.00 100.00 100.00 100.00 100.06 100.00 100.00 100.00 xs IS

14.9 3.3 —6.4 99.99 100.00 100.00 100.00 100.00 100.00 100.00 100.00 1 0 0 . 0 0 —33.2 —33.5 -33.8 —34.1 —34.4 —34.4 —34.J —35.0 —35.2 t
-127.1 -136.2 -142.2 —94.0 —93.3 -90.5 —67.7 —84.8 —•1.9 —78.4 —75.9 —72.8 ht
549.0 —13.6 —19.2 —23.2 —26.8 —29.7 —30J —31J —32.4 —32.8 $22.2
543.2 536.9 —132.3 —123.7 — 113.0 —108.4 —163.* —101.2 —98.4 522.6 522.4 $22.0 521.9 521.* $21.7 521.6 521.5 bs
99.89 99.95 99.98 —142.8 —139.0 323.9 323.3 523.0 100.00 100.00 100.00 100.00 100.00 100.06 100.00 100.00 100.00 xs
533.2 526.1 524.5 522.8
18.2 6.5 —3.4 530.3 528.1 100.00 —30.2 —30.4 —31.0 —31.3 —31.6 —Jl.« —32.0 —32.2 —32.4 I
-123.7 -133.0 -139.1 100.00 100.00 100.00 100.00 106.00 100.00 —92.9 —90.2 —87.$ —61.8 —769 —73.9 —72.9 —49.8 bf
550.4 99.99 99.99 52l!l
544.4 538.2 523.4 523.4 523.3 100.00 523.0 $22.9 323.7 522.4 522.4 bs
99.89 99.94 99.97 —10.5 —16.1 —20.2 —23.8 —267 —27.8 —**.* —29.4 —29.8 100.00 100.00 100.00 100.00 100.06 100.00 100.00 loo.oo xs
—129.1 —120.5 —109.8 —105.3 —160.1 —98.1 —28.4
21.4 9.5 —0.6 -139.7 —135.8 525.7 —95.4 —27.4 —27.8 —28.1 —ol.o —2«.» —29.0 —29.3 —29.5 —29.8 t
-120.4 -129.9 -136.3 524.1 52J.9 —89.8 —87.1 ——_4.4 —78.8 —7S.9 —73.0 —70.1 —67.0 bi
551.6 534.4 531.5 529.3 527.3 525.0 $24.4 100.00 100.00 $24.2
545.5 539.5 100.00 100.00 100.00 100.00 160.00 524.8 524.4 $24.4 100.00 524.0 $23.9 $23.7 523.4 523.5 bs
99.88 99.94 99.97 99.98 99.99 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 X.
—25.*
24.3 12.3 2.1 —7.6 —13.1 —17.4 —21.0 —23.9 —23.0 —266 —26.S —27.0 —24.» —25.1 —25.5 —769 —26.1 —264 —267 —27.0 —27.3 t
-117.4 -127.0 -133.4 —67.5 —95.0 —92.4 —87.1 —84.4 —«1.7 —74.1 —73.2 —70.3 —47.4 —44.3 bi
552.8 -136.7 —132.7 —126.2 —117.6 —107.0 —102.3 525.2
546.6 540.6 323.* 525.3 525.1 525.8 525.4 S2$.4 106.00 525.1 $24.9 $24.7 524.6 524.5 bs
99.88 99.94 99.97 535.4 532.7 530.4 528.4 526.8 326.2 100.06 100.00 100.00 100.00 100.00 100.00 100.06 160.06 100.00 100.00 100.00 x .

99.98 99.99 100.00 100.00 100.00 100.00

—4.9 —10.4 —14.7 —18.3 —21.3 —224 —23.4 —24.0 —24.4
—92.3 —69.*
-133.8 —129.8 —123.3 —114.8 — 104.2 —99.6 —94.6
527.2 516* 526.3 526.1
536.8 533.8 531.4 529.4 527.8 100.00 mm 100.00 100.00

99.98 99.99 100.00 100.00 100.00

27.0 15.0 4.8 —2.3 —7.9 —12.2 —15.9 —18.8 —19.9 - 2 1 . 6 — 2 1 . * —22,0 —22.4 —22.8 —23.2 —23.5 —23.* —24.2 —24.4 —24.7 —3$.4 * 16
-114.6 -124.2 -130.6 -131.1 -127.2 —87.2 —84.6 —81.9 —79.2 —74.4 —73.4 —76.7 —67J —64.9 —41.9 bt 17
553.6 561.7 541.8 537.9 —120.6 —112.0 —101.5 —96.9 —92.1 —89.7 18
534.8 528.7 528.1 S27.6 527.3 527.1 526.8 526.6 526.4 $24.2 524.1 325.* 525.4 525.5 525.3 bs 19
99.88 99.94 99.97 99.98 99.99 532.3 530.3 100.00 100.00 100.00 100.00 loo.oo loo.oo too.oo ioo.oo 100.00 too.oo m
loo.oo mm 100.00
29.5 17.5 7.4 0.1 —5.6 100.00 100.00 100.00 —19.8 —20.2 —20.6 —21.C —21.3 —22.7 t
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—9.8 — 13.5 —16.5 —17.* —11.7 —19.3 —21.4 —22.0 —22.2 —22.5
554.5 548.2 542.8 539.0 535.8 —99.1 100.06 mm —67.3 526.1 527.* 527.4 527.4 527.2 —71.2 —663 —45.4 —42.5 5 2 6 1 fc.
99.88 99.94 99.96 99.98 99.99 —118.1 —109.8 100.00 100.00 100.00 100.06 106.00 100.00 x»
529.6 52».3 327.0 526.7 524.5 524.3
32.0 20.0 9.9 2.6 —3.1 533.2 531.2 100.00 100.00 —17.6 —160 — 18.4 —1».8 —19.2 106.06 100.06 100.00 100.00 —20.4 t
-109.5 -119.0 -125.1 -125.9 -122.3 —79.» —77.2 —74.5 —71.7 —57.2 hi
99.99 99.99 529.0
555.4 549.1 543.9 540.0 536.7 100.00 521.7 528.S S2S.3 526.1 526.9 bs
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50 55 60 65 99.99 99.99

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91 92 9T

I MILE I—PROPERTIES OF AQl \-\MM
AMMONIA ( H M i M l t V l l U

0 246 8 10 IS 2 0 22 24 26 28 30 32 34 36 3 8 10 42 44 46 4

t 230.6 217.5 205.7 195.1 185.2 175.8 154.3 134.5 127.0 1)9.8 112.9 106.2 99.6 93.0 86.6 80.1 73.7 67.2 61.1 55.3 49.5 4

21 ht 198.7 179.9 161.8 146.9 127.8 111.8 74.9 40.0 26.9 14.2 1.8 —103 —22.2 —33.1 —43.4 —53.1 —62.2 —70.5 —78.2 —85.3 -—91.7 —9
967.1 893.9 833.4 784.2 709.3 658.1 647.1 637.6 628.2 617.4 604.0 597.8 592.3 587.1 572.3 56
hs 1156.9 1054.3 $81.8 576.2 568.8 565.4

x» 0.00 20.98 38.19 51.84 61.87 69.61 82.74 90.34 92.37 94.03 95.34 96.42 97.32 97.94 98.41 9881 99.16 99.41 99.58 99.67 99.77 9

t 233.1 220.1 208.3 197.6 187.8 178.3 156.6 136.8 129.4 122.1 115.1 108.4 101.9 95.3 88.8 •2.3 7$.8 69.3 63.2 57.3 51.6

22 ht 201.2 182.4 164.4 148.6 130.4 114.4 77.5 42.5 29.4 16.7 4.3 —7.9 —19.8 —30.8 —41.3 —51.2 —60.$ —68.6 —77.0 —84.1 —90.3 —9
hs 1157.8 1055.8 969.1 896.3 836.0 786.9 711.7 660.2 649.0 639.3 629.7 618.9 605.4 599.1 593.3 588.3 583.0 577.3 573.4 569.9 566.4 56

XT 0.00 20.85 37.99 51.59 61.62 69.36 82.54 90.17 92.21 93.91 95.23 96.35 97.25 97.88 98.36 98.77 99.12 99.38 99.56 99.66 99.77 9

1 235.5 222.5 210.7 200.1 190.2 180.7 158.9 139.1 131.6 124.3 117.2 110.5 104.0 97.4 90.9 84.4 77.8 71.4 65.3 59.3 536 4

23 ht 203.7 184.9 166.8 150.1 132.9 116.9 79.8 44.8 31.7 19.0 4.6 —5.5 —17.5 —28.5 —38.0 —48.9 —58.2 —66.6 —74.9 —81.0 —88.2 —9
971.1 898.6 838.5 789.5 714.1 662.2 650.8 640.9 631.2 620.3 606.8 600.4 594.7 589.4 574.5 570.9 567.4 56
hs 1158.6 1057.3 $84.1 578.4

Xs 0.00 20.73 37.68 51.28 61.38 69.11 82.35 89.97 92.05 93.79 95.12 96.26 97.18 97.82 98.31 91.73 99.08 99.35 99.54 99.65 99.76 9

t 237.8 224.8 213.1 202.4 192.5 183.0 161.1 141.3 133.8 126.5 119.4 112.6 106.1 99.5 93.0 8 6 4 79.9 73.4 67.3 61.3 55.5 5

24 ht 206.0 187.2 169.2 151.9 135.2 119.2 82.1 47.1 34.0 21.3 8.8 —3.3 — 15.3 —26.3 —36.8 —46.8 —56.1 —64.7 —72.8 —79.9 —86.2 —9
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608.1 601.6 568.3 56

X* 0.00 20.61 37.38 50.99 61.08 68.83 82.15 89.78 91.90 93.67 95.02 96.18 97.11 97.76 98.26 98.69 99.05 99.33 99.52 99.64 99.75 9

t 240.1 227.1 215.3 204.7 194.7 185.2 163.3 143.4 136.0 128.7 121.6 114.8 108.1 101.5 94.9 88.4 81.9 75.4 69.2 63.2 57.5 5

25 hf 208.3 189.6 171.5 154.7 137.5 121.5 84.4 49.3 36.2 23.4 11.0 —1.2 —13.1 —24.2 --.14.7 —44.7 —54.0 —62.8 —70.7 —77.8 —84.1 —8
974.8 902.9 843.3 794.4 718.6 666.1 654.3 644.1 634.1 623.0 609.4 602.8 576.4 572.7
hs 1160.2 1060.1 596.9 591.5 586.1 580.4 569.2 56

XS O.OO 20.48 37.09 50.70 60.80 68 55 81.95 89.60 91.75 93.56 94.92 96.09 97.04 97.70 98.22 98.65 99.01 99.30 99.50 99.63 99.75 9

26 t 242.2 229.3 217.5 206.8 196.7 187.3 165.4 145.6 138.1 130.8 123.7 116.7 109.9 103.3 96.7 90.2 83.7 77.3 71.1 65.2 59.4 5
hi 210.5 191.7 173.6 156.2 139.6 123.6 86.7 51.6 38.5 25.8 13.2 1.0 — 11.1 —22.2 —32.7 —42.7 —52.0 —60.7 —68.6 —75.7 —82.0 —8
27 h. 1161.0 1061.5 976.7 905.2 845.7 796.9 720.8 668.0 656.0 645.6
i Xs 0.00 81.76 89.42 91.60 93.45 635.5 624.2 610.6 603.9 598.0 592.5 587.1 581.4 577.4 573.6 570.1 56
20.37 36.82 50.43 60.52 68.29 94.82 96.01 96.97 97.64 98.17 98.61 9S.98 99.27 99.48 99.62 99.74 9
28 t 244.4 167.4 147.6 140.1 132.8
_ bf 212.7 231.4 219.6 208.9 198.9 189.3 88.8 53.7 40.6 27.8 125.6 118.6 Ills 105.1 98.5 92.0 85.5 79.1 73.0 67.0 61.2 5
hs 1161.7 193.8 175.7 158.4 141.7 12S.7 722.9 15.3 .1.0 —9.1 —20.2 —30.8 —40.7 —50.0 —58.7 —66.6 —73.8 —80.2 —8
t 29 X* 0.00 1062.8 978.4 907.2 847.9 799.2 81.57 669.8 657.7 647.1 611.8
20.26 36.56 50.16 60.26 68.04 89.24 91.45 93.35 636.8 625.4 605.0 599.8 593.4 588.0 582.3 578.3 574.5 571.0 56
I 30 t 246.4 169.4 94.73 95.92 96.90 97.58 98.12 98.58 98.95 99.24 99.46 99.61 99.73 9
hf 214.8 233.5 221.7 210.9 200.9 191.4 90.9 149.5 142.0 134.7
z bs 1162.4 195.9 177.8 160.5 143.8 127.8 724 8 55.8 42.6 29.8 127.5 120.5 113.6 106.9 100.3 93.8 87.4 80.9 74.8 68.8 62.9 5
XS 0.00 1064.0 980.0 909.0 849.9 801.3 81.38 671.5 659.3 648.5 17.3 5.0 —7.2 — 18.3 —48.1 —56.8 —64.7 —72.0 —78.4 —8
32 89.07 91.31 93.25 613.0 —28.8 —38.8
t 248.4 20.15 36.31 49.91 60.01 67.80 171.4 638.1 626.7 606.1 588.9 583.3 579.2 575.4 571.8 56
! 34 93.0 151.4 143.9 T36.6 94.64 95.84 96.85 97.52 600.1 594.4 98.92 99.21 99.44 99.60 99.73 9
bt 216.8 235.5 223.7 212.9 202.8 193.3 57.9 44.8 31.9 98.06 98.54
36 bs 1163.1 197.9 180.0 163.0 145.8 129.8 726.7 129.4 122.4 115.5 108.8 89.1 82.7 76.5 70.5 64.6 5
X* 0.00 1065.2 981.5 910.8 851.7 803.3 81.19 673.2 660.8 649.9 19.4 7.0 —5.2 — 16.4 102.1 95.6 —46.2 —54.8 —62.8 —70.0 —76.4 —8
38 88.93 91.18 93.15 614.2 —26.9 —36.9
t 250.3 20.03 36.06 49.66 59.76 67.57 173.3 639.4 627.9 607.2 589.8 584.1 580.0 576.2 572.5 56
40 ht 218.7 94.8 153.3 145.7 138.4 94.55 95.77 96.77 97.46 601.1 595.4 98.89 99.19 99.42 99.59 99.72 9
bs 1163.7 237.4 225.5 214.9 204.8 195.3 728.5 59.6 46.5 33.6 98.03 98.50
X* 0.00 199.9 181.9 164.5 147.9 131.8 81.00 662.3 651.3 131.2 124.2 117.3 110.6 90.9 84.4 78.2 72.2 66.3 6
1066.2 982.8 912.3 853.5 805.1 674.8 91.04 93.05 21.1 8.8 —3.3 —14.4 103.9 97.4 —44.3 —53.0 —60.9 —68.2 —74.6 —8
88.80 640.7 615.3 —25.0 —35.0
19.92 35.81 49.43 59.51 67.35 94.47 629.1 608.2 590.7 585.0 580.8 577.0 573.3 56
95.69 96.70 97.40 602.0 596.3 98.86 99.17 99.40 99.58 99.71 9
97.99 98.47

t 254.0 241.2 229.4 218.7 208.6 199.3 177.0 156.9 149.4 142.0 134.8 127.8 120.8 114.0 107.4 100.8 94.2 87.7 81.5 75.4 69.5 6
hf 222.5 203.7 185.7 163.4 151.8 135.7 98.7 63.5 50.3 37.5 24.9 12.6 0.3 —10.6 —40.6 —49.4 —57.4 —64.7 —71.2 —7
hs 1165.0 1068.1 985.2 915.1 856.6 808.3 —21.2 —31.2
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19.69 48.94 59.02 80.63 88.57 90.78 92.88 94.33 95.55 96.60 97.27 97.90 98.41 98.81 99.13 99.38 99.56 99.69 9
t 257.6 233.0 202.7
ht 226.1 244.* 189.4 222.3 212.2 139.5 180.6 160.4 152.8 145.4 138.2 131.2 124.2 117.4 110.8 104.1 97.5 90.9 84.6 78.5 72.5 6
b« 1166.1 207.3 987.7 172.1 155.5 811.6 102.3 67.1 53.9 41.1 28.5 16.2 4.2 —7.0 —17.6 —27.7 —37.2 —46.1 —54.2 —61.5 —68.0 —7
Xs 0.00 1070.0 918.0 859.7 734.8 612.3
34.91 66.51 680.6 667.7 656.4 645.5 633.6 619.7 605.8 599.9 594.0 588.1 583.8 579.8 575.9 57
t 260.9 19.47 48.51 58.55 80.27 88.35 90.57 92.70 94.18 95.41 96.47 97.14 97.82 98.34 98.76 99.08 99.35 99.54 99.67 9
bf 229.5 236.4 206.0
h» 1167.2 246.2 192.9 225.7 215.6 142.9 183.8 163.6 156.0 148.6 141.4 134.3 127.3 13:1113.8 107.1 100.4 93.8 87.5 81.3 75.4 6
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1071.9 34.5* 921.0 863.0 66.03 737.9 658.7 607.6
t 2*4.2 48.06 58.05 79.96 683.3 670.2 92.53 647.6 635.7 621.7 601.6 59.5.6 589.6 585.2 581.1 577.2 57
hf 232.8 19.23 239.7 209.3 88.10 90.36 94.03 95.27 96.33 614.3 97.74 98.28 98.71 99.04 99.32 99.52 99.65 9
hs 1168.3 196.2 229.0 218.9 146.2 186.9 151.7
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hf 233.9 19.01 199.4 232.1 222.0 149.4 189.8 87.86 90.15 93.88 95.13 96.18 98.21 98.65 99.00 99.28 99.48 99.63 9
b« 1169.2 995.5 182.1 165.5 822.0 112.1 154.5 616.2 609.4
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217.3 33.97 65.27 76.8 63.5 38.0 25.7 13.6 96.93 97.65 —18.5 —28.1 —37.1 —45.3 —52.7 —59.3 —6
1075.8 47.28 57.21 79.31 6620
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18.82 87.64 90.00 93.73 95.00 96.06 2.4 —8.4 98.14 98.60 98.96 99.24 99.45 99.61 9
611.1
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41 bt 239.9 220.4 202.4 185.2 168.5 152.5 115.0 79.7 66.4 53.5 40.9 28.6 165 5.2 —5.5 —15.6 —25.3 —34.3 —42.5 —50.0 —56.6 —4
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h. 1170.2 16769 33.49 600.3 593.9 99.20 99.42 580.7 57
46.92 56.82 64.91 79.00 87.46 89.81 92.00 93.59 94.87 95.94 96.73 97.49 08.07
0.06 18.65 98.55 98.91 99.58 9

t 273.1 2*0.4 248.7 238.0 228.0 218.2 195.4 175.1 167.4 160.0 152.7 145.4 138.2 131.2 124.4 117.7 111.0 104.4 91.0 91.1 85.7 7

44 hf 241.9 223.3 205.4 188.2 171.5 155.4 117.9 82.5 69.2 56.2 43.6 31.3 19.2 8.0 —2.8 —12.9 —22.6 —31.6 —39.8 —47.3 —54.1 —6
h. 1171.1 1079.6 1000.6 933.3 876.3 828.7 749.0 693.1 678.7 666.3 654.6 642.5 C29.1 621.3 614.4 607.9 601.7 595.2 590.5 586.1
581.9 57

X* 9.06 1650 33.41 44,53 56.44 64.55 78.70 87.25 89.63 91.83 93.45 94.75 95.83 96.64 97.41 98.01 98.49 9686 99.16 99.38 99.56 9

t 273.8 363.3 251.5 240.9 230.8 221.0 198.1 177.6 170.0 1*2.5 155.2 147.9 140.6 133.7 1269 120.2 113.4 106.8 100.4 94.1 88.0 8

46 bf 244.7 226.1 208.3 191.0 174.3 158.3 120.8 85.3 72.0 59.0 46.4 34.0 22.0 10.7 —0.1 —10.3 —19.9 —29.0 —37.3 —44.8 —51.5 —5

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Xs 0 . 9 0 11.3* 33.14 44.19 5606 64.19 78.40 87.03 89.45 91.66 93.31 94.63 95.72 94.5* 97.33 97.94 91.43 98.81 99.12 99.34 99.53 9

t 2764 3*5.9 254.2 243.5 233.4 223.6 200.7 180.2 172.4 165.0 157.7 150.4 143.1 136.1 129.3 132.5 115.8 109.0 102.6 96.4 90.2 8

48 bf 247.4 228.8 210.9 193.7 177.0 161.0 123.4 88.0 74.6 41.7 49.0 36.7 24.7 13.4 2.4 —7.7 —17.4 —26.6 —34*1 —42.4 —49.2 —3
bs 1172.7 1083.4 1006.1 939.7 883.3 135.1 754.8 697.S 682.7 669.7 657.7 645.6 632.4 624.4 617.3 610.7 604.2 597.7 588.1 584.0 57
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Xs 6 9 0 86.81 91.49 93.16 94.50 95.62 94.48 97 J 5 97.16 98.37 99.07 99.30

t 311.1 3664 256.1 3461 235.9 2261 203.4 182.5 174.8 167.3 160.0 152.7 14S.S 1365 131.7 124.9 118.1 111.3 104.S 98.6 92.4 8

50 bf 356.0 331.4 213.4 1*63 179.6 163.5 125.8 90.4 77.1 64.2 51.4 39.3 27.3 16.1 3.3 —S.O —14.8 —24.1 —32.5 —40.0 —5
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612.0 605.5 598.9 594.0 589.4 ~585.0 5S

X* 0.90 1609 32.64 43.50 53.34 63.50 77.82 86.60 89.10 91.30 9.1.00 94.38 95.52 94.42 97.17 •7.7* 98.30 98.69 99.01 99.26 99.46 9

§ 2 4 6 • 10 15 20 22 24 26 28 3 0 SS 34 36 38 40 42 44 46 48

MONIA SOLUTIONS— (Continued page 2 )
U N . WUCHT PER CENT

48 SO 55 60 65 70 75 80 SS 87 91 92 93 M 95 9 6 •>: 9 8 99 100

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51.9 46.5 34.4 24.4 17.0 10.8 5.9 1.7 —78.4 —67 —7.0 —7.4 —7.7 —6.0 t
89.5 —93.2 534.3 —55.1 —32.3 —49.4
65.7 —94.0 —103.7 —110.0 —110.8 —107.4 — 101.4 334.7 *9.99 —43* bt
99.82 536.9 99.99 532.5 532.2 $31.9 531.5 $51.2 bt
562.1 555.5 549.8 545.6 542.1 539.0 99.99 100.00 100.00 100.00 xs
mm 100.00
99.8S 99.92 99.94 99.97 99.98 99.99

53.7 48.2 36.1 26.0 18.6 12.5 7.4 J3 0.0 —2.2 —26 — 3.1 —3.5 —4.0 —4.4 —4.7 —5.1 —5.4 —58 —61 —64 t
87.6 —92.2 —102.0 —108.3 —109.0 —105.6 — 100.0 —91.8 —81.5 —72.0 —69.4 —66.9 —64.2 —61.6 — 58.9 —56.1 —53.4 —50.5 —47.7 —44J —41.9 bt
66.6 —76.8 bs
99.82 562.9 556.3 550.5 546.3 542.7 539.6 537.4 5J5.7 535.1 534.7 534.4 534.3 534.0 533 8 533.5 533.2 532.9 532.7 532.4 512.1 531.» x»
99.99 99.99 99.99 99.99 99.99 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100 00 100.09
55.5 99.85 99.92 99.94 99.97 99.98 99.99 too.oo t
85.7 4.8 I.I 0.4 -3J — 1.1 — 1.5 —2.0 —2.4 —2.8 —3.2 —3.5 —3.9 —4.4 —4.9 bf
67.4 50.0 37.8 27.7 20.3 14.. 9.0 —89.9 —730 —67.7 —65.1 —62.5 —59.9 — 57.2 —54.4 —51.4 —48.8 —4.2 —43.1 —40.2 h.
99.81 —98.1 —79.6 xs
—90.4 —100.2 — 106.5 —107.3 —103.9 5379 536.1 535.3 534.8 534.6 534.3 5.14.1 533.8 $33.6' $33.3 533.1 S32.t 532.(5 $32.3
57.2 540.2 99.99 99.99 99.** 99.99 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 loo.oo 100.09 t
83.9 563.7 557.0 551.1 546.9 543.3 99.99 kf
68.2 6.4 3.0 0.4 —0.1 —0.5 —0.9 —1.3 —1.7 —2.1 —2.4 —3.4 bs
99.81 99.85 99.91 99.94 99.97 99.98 —88.3 —78.1 —66.1 —63.5 —60.9 —58.3 —55.6 —52.8 —$0.0 —47.2 —3*4 x.

58.9 51.6 39.4 29.3 21.9 15.7 10.5 538.5 5J6.6 1.9 6.1 535.2 535.0 534.7 5.14.5 534.2 534.0 533.7 533.5 —2.« —3.1 $326 1
82.1 —88.6 —96.5 99.99 99.99 —73.5 —464 99.99 100.00 100.00 100.00 100.00 100.00 100.00 190.00 —44.4 —41.5 190.90 kt
68.9 — 9 8 . 5 —104.7 —105.6 •- 1 0 2 . 2 k«
99.80 564.4 540.8 7.8 4.5 536.0 335.5 1.9 1.4 1.0 0.6 0.2 —0.2 —0.5 —0.8 533.3 533.0 —4.0 xs
99.84 557.7 551.8 547.5 543.9 99.98 —86.7 —76.4 99.99 *».*4 —64.4 —61.9 —59.3 —56.6 —53.9 —51.2 —48.4 —45.6 100.00 100.00 —37.1
60.5 t
80.3 99.91 99.94 99.96 99.97 539.0 537.1 535.6 535.4 533.1 534.8 534.6 534.3 534.1 533.9 $332 kf
69.6 99.99 99.99 99.99 100.00 100.00 100.00 100.00 100.00 100.00 190.00 100.00 ks
99.80 53.3 41.0 30.9 23.4 17.2 12.0 3.4 2.4 —1.2 —1.5 x«
—86.9 —94.9 9.3 60 —71.8 —47.0 3.4 2.9 2.5 2.0 1.6 1.2 0.8 0.5 —42.8 —46.0 —0.4
—96.8 —103.0 —103.9 — 100.6 —85.1 —74.8 —62.8 —60.3 —57.7 —55.0 —52.4 —49.6 —46.9 —44.1 —35.6
565.1 541.4 536.4 535.4 333.7 533.4
99.84 558A3 552.4 548.1 544.5 99.98 539.5 537.5 99.99 99.99 536.0 53S.7 535.5 535.2 535.0 534.7 534.5 534.3 100.00 loo.oo $33.7
99.99 99.99 99.99 100.00 100.00 100.00 100.00 100.00 100.00 190.00 100.00
99.91 99.93 99.96 99.97

54.9 42.6 32.5 25.0 18.7 13.5 4.9 3.8 0.1 —6.3
—85.1 —99.0 —93.3 —70.2 —65.4
—95.1 —101.3 —102.2 —41.3 —38.5
565.7 545.0 542.0 536.9 536.3
99.84 558.9 553.0 548.7 99297 99.98 99.99 *».*9 534.1 533.4

99.90 99.93 99.96 100. (Hi 100.00

63.7 58.1 45.7 35.6 27.9 21.6 16.5 12.3 8.9 7.7 4.4 61 5.6 5.2 4.7 4.3 3.9 3.5 3.1 2.S 2.4 2.1 t -

77.0 —81.8 —91.8 —98.0 —99.0 —95.9 —90.2 —82.0 —71.7 —67.1 —62.3 —59.8 —57.3 —54.7 —52.1 —49.4 —46.7 —44.0 —41.2 —38.4 —35.4 —32.7 hi 32
71.0 566.9 560.0 554.2 549.7 546.0 536.7 536.4 536.2 535.9 335.2 535.0 534.7 534.5 ks
543.0 540.5 538.5 537.9 537.3 536.9 535.7 335.4
99.79
99.83 99.90 99.93 99.96 99.97 99.98 99.99 99.99 99.99 »9.99 9 9 . 9 9 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 X*

66.7 61.0 48.7 38.6 30.7 24.3 19.4 1S.1 11.7 10.5 *.3 8.7 1.2 7.7 7.3 68 64 6.0 5.* 5.3 5.0 4.7 t 34
73.8 —78.6 —88.7 —94.9 —96.0 —93.0 —87.1 —78.9 —667 —64.2 —57.1 —54.5 —52.0 —49.4 —46.7 —44.0 —41.2 —38.5 —35.* —32.8 —29.4 kt 36
72.0 •m
99.78 568.1 561.0 555.3 350.7 547.0 544.0 541.5 539.5 $38.8 537.8 537.5 537.2 537.0 536.7 $34.5 536.2 5 16 0 535.8 535.5 535.3 k.
99.83 99.90 99.92 99.95 99.97 99.98 99.99 99.99 99.99 •191..98 9 99.99 100.00 100.00 100.00 100.00 100.00 100.00 100.06 100 IK) 100.00 100.00 x>
69.5 —56.7
70.8 63.9 51.5 41.4 33.4 27.0 22.1 17.8 14.3 13.0 11.2 10.6 10.1 9.7 9.2 8.9 8.4 69 7.7 7.4 7.1 t
73.2 —75.6 —85.7 —91.8 —93.1 —90.1 —84.2 —76.0 —65.8 —61.4 539.0 —54.4 —51.9 —46.7 —44.1 —41.4 —38.6 —33.9 —33.9 —30.2 —27.3 kt
99.77 99.99 —49.3 .
569.2 562.1 556.3 551.8 548.0 545.0 542.4 540.4 $39.7 538.6 538.3 538.0 537.7 53».S 337.2 537.0 554.7 536.5 534.3 534.1 ks
99.82 99.89 99.42 99.95 99.97 99.98 99.99 99.99 99.99 99.99 100.00 100.00 100.00 100.09 100.00 100.00 190.69 100.96 100.00 196.99 xs

72.2 66.5 54.1 44.0 36.0 29.6 24.6 20.3 168 1S.$ 14.2 13.6 13.1 12.6 12.1 11.6 11.2 10.8 10.4 10.1 4.7 4.4 t 38
67.9 —72.8 —83.0 —89.1 —90.4 —87.4 —73.4 —63.2 —58.8 —54.1 —51.7 —49.2 —46.7 —44.1 —41.4 —38.8 —36.0 —33.2 —30.4 —27.6 —24.7 ht
74.4 —81.5 ks
99.75 570.3 563.1 557.3 552.8 548.9 545.9 543.3 541.2 540.5 539.8 539.4 539.1 536.8 538.5 538.2 537.9 537.7 537.5 537.2 537.0 534.S x.
99.81 99.89 99.91 99.94 99.97 99.98 99.99 99.99 99.99 •9.99 99.99 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00
100.00

74.8 69.1 56.6 46.4 38.5 32.0 26.9 22.6 19.1 17J 166 16.0 15.4 14.9 14.5 14.0 13.6 13.1 12.7 12.4 12.0 11.7 t 40
65.2 —70.1 —80.3 —86.4 —87.7 —84.8 —79.0 —70.8 —60.7 —56.2 —51.5 —49.1 —46.6 —44.1 —41.5 —38.9 —36.2 —33.5 —30.7 —26.0
75.5 —25.2 —22.3 kr
99.73 571.4 564.1 558.3 553.6 549.2 546.7 544.1 542.0 541.2 540.5 540.1 539.8 539.5 539.2 538.9 538.6 538.4 536.1 537* 537.7 537.5 ks
99.81 99.90 99.91 99.94 99.97 99.91 99.99 99.99 9*.** 99.99 •9.99 100.00 190.00 100.00 100.00 106.00 100.96 190.09 100.00 190.90 x»

77.4 71.6 59.0 48.8 41.0 34.4 29.2 24.* 21.2 19.9 167 11.1 17.6 17.1 16.6 16.2 15.7 15.3 14* 14.5 14.2 13.8 t 42
42.5 —67.5 —77.7 —63.9 —65.1 —62.2 —74.5 fM 4 —S3.9 —14.3 —41.7 —39.2 —33.4 —31.3 —25,7 —22.8 44
76.7 544^ 542^6 541J 540.7 ~539.S —264 —20.6 kf 46
99.71 572.5 565.0 559.2 554.5 550.7 547.5 99.99 99.99 541.8 99.99 99.99 540.4 540.1 539.8 100.00 539.2 539.0 536.7 336.5 536.3 538.1 ks 48
99.80 99.88 99.90 99.94 99.97 99.98 99.99 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.00 100.06 x. 50
79.8 26.8 23.2 20.3
60.0 73.9 61.3 51.2 43.3 36.7 31.4 —66.2 —36.1 22.0 26.8 —44.5 19.8 19.3 18.8 18.3 17.9 17.5 17.0 166 16.3 15.9 t
77.8 —63.0 —75.3 —81.4 —82.5 —79.6 — 74.2 —51.4 —42.0 — 39.4 —34.2 —31.3 —26.8 —261 —23.3 —20.6 —17.7 kf
99.69 345.5 543.3 54IJ 541.4 146.* ks
573.3 566.0 560.1 555.4 551.5 548.3 99.99 99.99 542.5 99.99 •9.99 341.1 540.7 166.00 540.2 539.9 539.6 539.4 539.1 538.9 $367 xs
82.1 99.79 99.11 99.90 99.94 99.97 99.98 100.90 100.00 100.00 100.00 100.00 100.00 106.00 106.00
57.4 29.1 25.4 **.** 22.3 KM
78.8 763 63.6 53.4 45.5 36.9 53.6 — 619 —53.9 —42.4 21.7 21.1 19.9 14.4
99.67 —62.5 —72.7 —78.7 —86.0 —77.3 —71.8 24.1 32,9 —39.9 - -37.4 26.7 « 36.3 —29.3 16* 166 162 17.9 1
5462 543.9 —4*4 542.6 346.3 —34.0 —21.2 —164 —15.5 kf
84.3 574.5 566.9 540.9 5562 5523 349.0 V9 ''9 99.99 '•"• " *6*6.(S 99.9* 341.7 541.3 —34.8 —32.1 546.5
35.0 99.7* 99.87 99.89 99.93 99.9« 99.97 543.1 100.09 109.00 100.00 21.3 $4* (1 539.7 5.19 5 539.3 ks
79.8 31.1 27.4 99.9* 542.4 24.2 541.0 $40.7 —J4.6 100.09 100.00 160.06 xs
99.65 78.5 65.1 55.6 47.6 41.9 33.7 —41.6 —51* *».*9 23.7 25.2 21.8 100.00
—60.0 -70.3 —76.5 —77.8 —75.0 —44.4 $42.$ —37.» —35.2 100.00 100.00 —27.4 148.7 36.9 26.3 19.8 t
86.4 5466 544.4 »f.9» 106,96 -31.9 —19.1 262 —13.4 kt
52.7 575.5 567.1 561.8 557.0 553.9 549.7 99.99 •9.99 36.1 1*J 342.5 541.9 22.7 22.2 541.9 —143
S0.8 99.76 99.87 »9.*9 99.93 99.9* »9.*7 —«7.2 —43,4 26.2 100.06 190.00 —32.6 —30.0 13.3 S46.S 146.2 539.8 ks
99.43 33.1 29.4 —31.3 23.4 —33.4 190.06 540.6 100.00 X.
80.6 68.0 57.8 49.7 43.9 37.4 —59.4 —49.3 543.8 543.9 33.6 35.1 541.6 341.3 —25.3
8 —57.7 —66.(1 —74.2 —75.4 —72.* —67Jl 99.4* 543.1 —35.7 —$3.9 100.00 106.96 541.3
547.5 545.1 HJ9 *».99 541.5
576.4 566.7 5*2.6 557.* 333.7 550.4 99.99 99.99 542.1 543.4 34.6 24.1 100 00 96
•9.75 99.*7 99.89 99.92 99.95 99.97 21.9 S4J.I 98 106.90 looon —36.6 31.6 22.8 22.4 3*6 21.7 1
80 85 —4S.I 541.1 M —17.1 —M.J —11.4 kf
SO SS 60 <» 70 7S 91 •>2 S42.1 166,66 —1*9 ks
5 4 4Jt lOflOO 541.0 546.7 546.5 546.5 as
99.4* 160.06 100 00 100.00 106.00

87 89 •>3 94 97 98 99 188

TABLE I—PROPERTIES OF AQUA-AM MO

AMMONIA CONCENTRATION

0 2 4 6 8 10 IS 20 22 24 26 28 SO 32 34 » ' 38 40 42 44 46 48
36
t 283.5 270.9 259.3 248.5 238.4 228.6 205.7 184.9 177.1 169.6 162.4 135.1 147.7 140.8 133.9 127.1 120.2 113.4 107.0 1C0.6 94.5 88.5

52 ht 252.5 234.0 216.2 198.9 182.2 166.1 128.3 92.9 79.5 66.6 54.0 41.7 29.7 18.4 7.6 *—2.* — 12.5 —21.7 —30.1 —37.7 —44.5 —50.5
944.6 888.9 841.7 760.0 701.9 686.6 673.2 660.9 648.6 635.5 627.3 620.0 590.4 586 0 581.7
hs 1174.3 1(86.6 1010.5 6132 606.7 6O0.0 595.0
17.97 32.41
x» 0.00 45.16 54 99 63.17 77.54 86.40 88.94 91.14 92.86 94.27 95.42 96.34 97.09 91.U 91.24 98.64 98.97 99.22 99.43 99.61

1 285.9 273.3 261.7 251.0 240.8 231.0 208.1 187.2 179.4 171.9 164.7 157.3 150.0 143.0 M6 1 129.2 122.4 115.5 109.0 102.7 96.6 90.6

54 hf 255.0 236.5 218.7 20!.S 184.7 168.6 1.10.7 95.2 81.9 68.9 56.3 44.1 32.2 20.9 10.1 —6.2 —10.1 —19.4 —27.8 —35.5 —42.3 —48.2
hs 1175.0 1088.1 1012.5 947.3 891.6 844.4 762.3 703.9 688.4 674.8 662.4 650.1 637.0 628.7 621.3
614.5 607.8 601.1 596.1 591.4 587.0 582.6
17.85 32.19 44.84
Xs 0.00 54.66 62.85 77.27 86.19 88.78 90.98 92.73 94.16 95.33 96.26 97.02 47.46 98.18 98.58 98.93 99.19 99.41 99.59

t 288.2 275.6 264.0 253.3 243.1 233.3 210.5 189.4 181.6 174.1 166.9 159.5 152.0 145.0 138.1 151.2 124.4 117.5 111.0 104.7 98.6 92.6

56 hi 257.4 238.9 221.1 203.8 187.2 171.0 133,1 97.6 84.2 71.2 58.6 46.4 34.4 23.2 12.4 2.0 —7.8 — 17.2 —25.6 —33.2 —40.1 —46.1
hs .1175.7 1089.4 1014.3 949.4 893.9 846.9 7 6*. 6 705.9 690.2 676.5 663.9 651.5 638.4 630.0 622.5 6IS.6 592.4 587.9 583.5
609.0 602.2 597.1
XS 0.00
17.75 31.99 44.53 54.34 62.54 77.01 85.99 88.63 90.83 92.60 94.05 95.24 96.18 96.95 97.59 98.13 98.53 98.89 99.16 99.39 99.57

t 290.5 277.9 266.2 255.5 245.3 235.6 212.7 191.6 183.9 176.4 169.0 162.0 154.2 147.1 140.2 133.3 126.4 119.5 113.0 106.6 100.5 94.5

58 hi 259.7 241.2 223.5 206.2 189.4 173.3 135.3 99.8 86.5 73.5 61.0 48.7 36.9 25.6 14.7 4.3 —5.6 —15.1 —23.6 —31.3 —38.1 —44.1
hs 1176.4 1090.7 1016.1 951 6 896.3 849.3 766.8 707.9 692.0 678.2
663.4 653.0 639.8 631.3 623.7 6167 410.0 603.2 598.0 593.3 588.7 584.3
17.64 31.80 44.24
Xs 0.00 54.04 62.24 76.77 85.80 88.47 90.69 92.48 93.95 95.15 96.10 96.88 97.53 98.07 98.48 98.86 99.14 99.37 99.55

t 292.7 280.2 268.5 257.7 247.5 237.7 214.8 193.7 185.8 178.3 171.1 163.7 156.2 149.1 142.1 135.2 128.3 121.4 114.8 108.5 102.3 96.4

60 hf 262.0 243.5 225.6 208.4 191.7 175.5 137.5 102.0 88.7 75.7 63.2 50.9 39.1 27.8 16.9 6.5 —3.4 —12.9 —21.4 —29.0 —35.9 —41.9
hs 1177.0 1091.9 1017.7 95.1.5 898.5 851.6 768.9 709.8 693.7 679.7 666.9 654.3 641.1 632.5 624.8 617.8 611.0 604.2 599.0 594.2 589.6 585.1

Xs 0.00 t7.52 31.62 43.98 53.75 61.98 76.54 85.63 88.33 90.55 92.37 93.86 95.07 95.98 96.81 97.47 98.02 98.43 98.83 99.12 99.35 99.53

1 294.8 282.3 270.7 259.9 249.7 2.59.9 216.9 195.8 187.9 180.4 173.0 165.6 158.1 151.1 144.1 137.1 130.2 123.3 116.7 110.4 104.2 98.2

62 hf 264.2 245.9 227.8 210.6 193.9 177.7 1.19.7 104.2 90.9 77.9 68.4 53.1 41.3 30.0 19.1 67 —1.3 —10.8 —19.3 —27.0 —33.9 —39.9
h. 1177.6 1092.9 1019.1 955.1 900.2 853.5 770.9 711.6 695.5 681.4 668.4 655.7 642.4 633.7 626.0 618.9
612.0 605.2 599.9 595.1 590.4 585.9
Xs 0.00
17.41 31.44 43.69 53.43 61.69 76.30 85.45 88.18 90.41 92.25 93.76 94.98 95.93 96.74 97.41 97.96 98.39 98.79 99.09 99.33 99.51

t 296.9 284.4 272.8 261.9 251.7 241.9 219.0 197.8 189.9 182.3 175.0 167.6 160.0 152.9 145.9 138.9 132.0 125.0 118.5 112.1 105.9 100.0

64 hf 266.3 247.9 2.10.0 212.7 196.0 179.8 141.8 106.4 93.0 80.0 67.5 55.2 43.3 32.0 21.1 10.7 0.7 —8.9 —17.4 —25.1 —32.0 —38.0
h. 1178.2 1094.0 1020.5 956.8 902.2 855.5 772.9 713.4 697.2 682.9 669.8 657.0 643.7 635.9 613.0 606.1 600.8 596.0
427.1 619.9 591.3 586.7
Xs 0.00 17.29 31.26 53.14
43.43 61.42 76.07 85.28 88.01 90.27 92.08 93.66 94.89 95.85 96.67 97.35 97.91 98.35 98.75 99.05 99.30 99.48

t 298.0 285.4 273.8 263.0 252.8 243.0 220.0 198.8 190.9 183.3 175.8 168.4 161.0 153.9 146.9 139.9 132.9 125.9 119.3 113.0 106.8 100.8

65 ht 267.4 248.9 231.1 213 2 198.0 180.9 142.9 107.4 94.1 81.1 68.5 56.3 44.4 33.1 22.1 11.7 1.7 — 7 . 9 — 16.4 — 2 4 . 2 —31.1 — 3 7 . 1

h. 1178.5 1094.6 1021.2 957.7 903.1 856.5 773.9 714.3 698.0 683.7 670.5 657.7 644.3 635.5 627.6 620.4 613.5 6066 601.3 596.4 591.7 587.1

X* 0.00 17.24 31.17 43.29 53.00 61.29 75.96 85.20 87.90 90.22 92.13 93.61 94.85 95.80 96.64 97.31 97.88 98.33 98.72 99.03 99.29 99.47

t 302.9 290.4 278.7 268.0 257.9 248.0 224.8 203.7 195.8 188.0 180.4 173.0 165.6 158.4 151.3 144.2 137.2 130.1 123.6 117.4 111.2 105.3

70 hf 272.5 254.0 236.2 219.0 202.3 186.1 148.0 112.6 99.2 86.2 73.6 61.4 49.5 38.1 27.2 16.6 6 5 —3.3 — 11.8 — 1 9 . 6 — 2 6 . 5 —32.3

h. 1179.9 1097.5 1025.3 962.6 908.4 862.1 778.9 718.7 701.9 687.3 673.8 660.8 647.4 638.3 630.3 622.9 615.9 609.0 603.6 598.6 593.8 589.1

Xs 0.00 16.96 30.72 42.64 52.34 60.64 75.42 84.78 87.55 89.88 91.79 93.35 94.65 95.62 96.48 97.17 97.74 98.20 98.61 98.93 99.21 99.40

t 307.6 295.1 283.7 272.9 262.6 252.8 229.6 208.4 200.4 192.6 184.9 177.4 169.9 162.7 155.5 148.4 140.5 134.4 127.8 121.5 115.3 109.4

75 hf 277.3 258.9 241.0 223.8 207.1 191.0 153.1 117.6 104.3 91.2 78.6 66.2 54.2 42.8 31.8 21.3 lt.2 1.6 —7.0 — 14.7 —21.7 —27.7
hs U81.2 1100.2 1029.0 967.0 914.4 867.3 783.9 723.0 705.9 690.8 677.1 663.9 650.3 625.4 618.3 611.4 605.9
641.1 . 632.8 600.8 596.0 591.2
16.68 30.30 41.92 51.74 59.99 84.36
Xs 0.00 74.88 87.20 89.55 91.43 93.08 94.42 95.44 96.31 97.01 97.62 98.07 98.52 98.85 99.13 99.35

SO t 312.0 299.7 288.2 277.5 267.2 257.9 234.2 212.8 204.7 196.9 189.3 181.7 174.0 166.7 159.6 152.5 145.5 138.6 132.0 125.6 119.4 1134
85 ht 218.9 263.3 245.8 228.6 211.9 195.8 157.9 122.3 108.9 95.8 83.1 70.8 58.7 47.3 36.3 25.8 15.8 6.2 —2.4 —10.1 —17.2 —23.3
90 hs 1182.4 It 03.4 1033.7 972.7 919.6 873.7 789.0 727.2 709.5 643.9 608.1
95 XS 0.00 693.9 679.9 666.6 653.3 95.26 635.5 627.9 620.7 613.7 602.9 598.0 593.1
100 16.39 29.88 41.23 51.16 59.34 74.35 83.94 86.87 89.22 91.19 92.81 94.20 96.15 96.86 97.49 97.96 98.41 98.74 99.05 99.30
t 316.2 170.6
ht 286.3 304.0 292.6 281.8 271.6 261.7 238.5 216.9 208.8 201.1 193.5 185.7 177.8 51.6 163.4 156.3 149.3 142.4 135.9 129.4 123.2 117.1
267.9 250.2 233.0 216.4 200.2 162.3 126.7 113.3 100.2 87.5 75.1 63.0 646.6 40.6 30.1 20.0 10.4 1.8 —5.3 — 13.0 — 19.1
t 1183.6 1105.9 1037.3 976.9 924.3 878.6 793.4 731.1 713.1 697.2 669.4 656.2 95.08 638.0 630.3 623.0 604.9
0.00 16.12 29.49 40.55 50.59 58.73 73.83 83.53 86.53 88.90 682.9 92.55 93.97 95.98 96.71 97.36 615.9 610.2 599.8 594.8
90.89 174.3 9'.83 93.30 93.64 98.97 99.22
t 320.3 308.0 296.6 286.0 275.8 265.9 242.6 220.7 212.6 204.9 189.6 181.6 55.8 167.1 160.0 153.0
ht 290.4 272.2 254.5 237.3 220.7 204.6 166.5 130.9 117.4 104.3 197.4 79.2 67.2 44.7 34.2 24.1 146.0 139.4 132.9 126.7 120.6
hs 1184.6 1108.3 1040.7 981.1 928.9 883.5 797.8 735.0 716.6 700.4 91.6 649.2 14.4 5.8 —2.0 —9.1 — 15.3
Xs O.OO 29.10 83.12 86.20 88.58 672.2 659.0 94.90 640.5 632.6 625.2 606.8 601.6
15.86 39.97 50.01 58.12 73.33 685.8 92.27 93.75 95.80 96.57 97.23 618.0 612.2 596.5
t 324.1 300.6 224.4 216.3 208.5 90.60 177.9 97.71 98.21 98.55 98.90 99.14
hi 294.5 312.0 258.6 289.9 279.7 269.8 246.4 134.9 121.4 108.3 193.2 185.2 59.8 170.6 163.6 156.4
hr 1185 6 276.4 1044.0 241 4 224.8 208.7 170.5 738.6 719.9 703.3 201.0 83.3 71.3 651.3 48.8 38.2 28.0 149.4 142.8 136.3 130.0 123.8
Xv 0.00 1110.6 28.73 985.1 933.3 888.1 802.0 82.74 85.87 88.27 95.6 674.7 94.71 642.7 627.2 18.4 9.7 1.7 —5.4 — 11.6
39.42 49.46 57.54 72.84 92.06 661.5 95.64 634.7 97.10 603.4
t 327.8 15.61 304.3 228.0 220.0 212.2 688.5 93.54 181.4 96.41 620.0 614.1 608.7 598.2
hi 298.3 262.6 293.7 283.6 273.7 250.1 138.6 125.1 112.0 90.35 196.7 63.8 174.1 159.8 97.60 98.10 98.46 98.82 99.06
hs 1186.6 315.7 1047.2 245.5 228.8 212.7 174.3 742.2 723.1 706.2 87.1 188.7 52.7 1*6.9 31.8
Xs 0.00 280.2 989.0 937.6 892.6 806.2 204.5 677.2 75.2 653.8 42.1 152.7 146.0 139.4 133.1 126.9
1112.9 28.36 82.37 85.56 87.97 99.4 91.89 94.53 644.8 636.7 629.2 22.0 13.2 5.2 —1.9
38.88 4 8.92 56.97 72.36 663.9 95.47 96.27 96.97 605.1 599!8
15.38 691.1 93.23 622.0 616.0 610.5 98.97
90.09 97.49 98.01 98.37 98.72

106 t 331.4 319..1 308.0 297.4 287.4 277.4 253.6 231.5 223.3 215.5 207.9 200.1 192.0 184.6 177.4 170.2 162.9 155.9 149.1 143.5 136.2 130.0
hi 302.0 284.0 266.4 249.4 232.2 216.6 178.2 142.5 128.9 115.8 103-2 90.9 79.0 67.2 565 45.8 35.* 25.6 16.8 8.8 1.6
no bs 1187.5 1114.9 1050.0 992.3 941.4 896.5 809.7 745.3 725.9 708.9 693.6 601.3
XT 0.00 679.7 666.5 656.2 647.1 638.9 631.2 623.9 617.8 612.1 606.1 98.91
US 15.16 27.01 38.42 48.36 56.43 71.89 82.04 85.19 87.68 89.85 91.60 _ 93.03 94.35 95.31 96.13 96.85 97.39 97.90 98.29 98.65
120 t 3.14.8 132.9
125 hi 365.6 322.8 311.6 301.0 290.9 280.9 257.0 234.9 226.6 218.8 211.1 203.3 195.3 187.9 180.5 173.3 166.1 159.0 152.2 145.6 139.2 — 1.4
hs 1188.3 287.6 270.1 253.0 236.4 220.2 181.7 146.0 132.5 119.4 106.7 94.5 82.6 71.2 60.1 49.5 39.2 29.2 20.4 12.3 5.0 602.7
Xs 0.00 1117.0 1053.0 996.0 945.4 900.7 813.2 748.4 728.7 711.4 696.0 668.9 649.3 640.9 625.6
81.73 682.0 92.85 658.5 9$.16 95.99 633.1 97.28 619.4 613.6 607.5 98.83
t 3.18.1 14.93 27.66 37.96 47.81 55.89 71.44 84.85 87.39 89.60 91.35 94.17 96.72 97.81 98.21 98.57
ht 3i9.0 238.2 198.4 183.6 176.3 162.0 135.8
hs 1189.1 326.3 315.1 304.5 294.3 284.2 260.3 149.7 230.0 222.0 214.2 206.4 86.2 190.9 63.6 52.9 169.1 32.4 155.2 148.5 142.0 1.8
Xs 0.00 291.0 273.5 256.5 239.9 223.8 185.4 751.4 136.2 123.1 110.4 98.1 671.2 74.7 651.3 642.8 42.6 627.2 23.7 15.6 8.2
1119.0 1056.0 999.6 949.3 9<V4.8 816.7 81.43 731.4 713.8 698.2 92.63 95.02 95.8* 634.9 97.17 620.9 604.4
t 341.3 71.00 87.10 684.2 660.7 96.61 97.70 615.1 609.2 98.78
hf 312.4 14.71 27.32 37.56 47.21 55 J9 241.5 84.52 89.33 91.15 201.4 94.00 186.5 179.2 164.9 98.13 98.50
h. 1189.8 263.5 153.1 225.1 89.6 66.9 56.2 172.0 36.0 158.0 138.6
XS 0.00 329.6 318.5 307.7 297.6 287.5 188.8 754.4 233.2 126.5 217.2 2C9.3 193.9 45.9 27.1 151.4 144.9 5.0
294.4 276.8 259.8 243.2 227.1 820.1 81.11 139.6 716.1 113.8 101.5 673.4 78.0 653.3 644.6 628.8 18.9 11.6
t 344.3 1121.0 1058.9 1003.1 953.3 908.9 734.0 700.4 686.3 92.44 94.11 95.72 436.6 97.08 6224 605.3
bt 315.6 70.58 244.6 86.12 662.8 96.49 97.62 6'6 5 610.8 98.70
b* 1190.5 14.50 26.99 37.16 46.71 54.91 156.6 84.21 89.04 90.94 204.2 93.82 189.3 182.0 167.7 98.06 98.41
SS 0.00 266.6 757.1 221.1 92.8 70.2 59.4 174.8 39.2 160.9 141.4
332.8 321.7 311.1 300.8 290.7 192.2 236.3 129.9 220.0 212.1 1*6.7 49.1 30.3 154.2 147.7 8.1
297.6 280.1 263.0 246.5 230.4 823.1 80.80 143.0 718.5 117.2 104.8 675.6 81.3 655.2 646.5 638.4 630.5 22.1 14.7
1122.5 1061.1 1005.8 956.2 912.0 736.5 702.6 683.4 92.35 94.74 95.58 96.37 96.96 624.0 606.6
70.16 20 86.56 664.8 97.52 618.0 612.2 98.64
14.29 26.67 34.74 46.21 54.47 83.90 88.82 90.75 SO 93.65 34 36 38 40 97.97 98.33
15 24 42 48
0 24 6 8 10 22 26 28 32 44 46

OMA SOLUTIONS— (Continued page 3)

N, WEIGHT PER CENT

50 SS 60 63 70 7S 88 83 ....... m i <•»». 91 93 93 94 95 96 97 98 99 188

39.7 35.1 51.2 • 7 9 8|P*.'*•'.• 37.4 26.1 263 25.8
—65.0 —57.3 —47.4 —33.8 —31.2 —28.7 —26.1
82.7 70.1 59.9 31.8 45.1 3»* ' iff 2t.9 35.4 24.9 24.5 24.3 33.8 31.5 t a
551.1 548.2 545.8 —36.2 545.5 543.0 542.7 542.4 —23.4 —20.7 —15.1 —13.3 kt
—55.5 —63.9 —72.0 —73.3 —70.6 99.97 99.98 99.99 344.* —HI", 99.99 100.00 100.00 100.00 —160 $40.8 k* 34
**.9» 543.7 542.1 541.8 541.$ 541.3 341.9 100.00 36
577.3 569.5 563.4 558.5 554.4 41.6 37.0 33.1 *3*0.'4#f 99.99 29.2 28.7 28.1 276 100.00 100.00 100.00 100.00 100.00 m 58
— 63.0 —55.2 —43.4 31.8 —31.1 —29.3 —26.8 —24.2 25.2 68
1 99.73 99.86 99.88 99.92 99.95 —41.1 —364 29.8 —7.5 t
551.7 548.8 546.4 $44.4 —34.3 543.8 543.5 543.1 542.8 541.3
84.8 72.1 61.9 53.7 47.0 99.97 99.98 99.98 545.5 »9.*» 99.99 100.00 100.00 100.00 27.2 267 26.3 25.9 23.6 100.00 kt
99.99 344.2 —21.5 — 18.8 —16.1 —13.2 —10.4 ks
—53.3 — 63.6 —69.8 —71.2 —68.6 43.5 38.8 34.9 99.99 30.9 30.4 29.9 29.4 Xs
— 61.0 —53.2 —43.4 —29.9 —27.4 —24.8 —22.2 542.5 542.2 $42.0 341.7 $41. $
578.2 570.3 564.2 559.1 555.0 100.00 100.00 100.06 100.00 100.00
552.2 549.3 546.9 544.3 544.0 543.7 543.3
9 99.72 99.85 99.88 99.92 99.95 99.97 99.98 99.98 99.99 100.00 100.00 100.00 28.9 28.4
—19.6 —169
86.8 74.1 63.9 55.6 48.8 45.2 40.5 36.6 33.$ J2.3 31.3 32.6 32.0 31.5 31.0 28.0 27.6 27.3 24.4 t
—59.1 —51.4 —41.6 —39.1 -34.4 —32.3 —28.0 —25.5 —23.0 —20.4 543.0 542.8 —14.1 —11.3 —6.$
—51.2 —61.6 —67.6 —69.1 —66.6 552.8 549.8 547.4 S44.S 544.5 100.00 100.00 S42.0 —5.* kt
$460 345.1 544.7 S 44.1 543.8 $42.5 542.2 100.00 541.S ks
579.0 571.1 565.0 559 8 555.6 99.97 99.98 99.98 99.99 99.99 99.99 99.99 100.00 100.00 100.06 100.00 100.00 Xs
**.»•
7 99.71 99.84 99.88 99.91 99.95 46.9 42.2 38.3 34.3 33.7 33.2 32.7
—57.2 — 49.5 —39.7 —26.3 —23.8 —21.2 — 18.6
88.7 76.0 65.8 57.4 50.6 3$.2 33.1 33.2 30.5 30.1 29.7 2*3 28 9 266 t
553.3 550.3 547.8 —32» —30.5 545.2 344.9 544.5 544.2 —17.7 — 15.0 —12.2 —9.4 —3.7 kt
—49.1 —59.5 —65.6 —67.1 —64.6 99.97 99.98 99.98 —37.3 545.2 99.99 99.99 100.00 100.00 542.7 $424 542.2 k.
S46.S 99.9* 543.5 543.2 542.9 100.00 100.00
579.8 571.8 565.7 560.5 556.2 99.99 100.00 106.00 100.06 100.00 Xs
99.99
5 99.69 99.83 99.87 99.91 99.95

90.6 77.9 67.6 59.2 52.3 36.9 35.3 34.8 32.2 31.8 31.3 30.9 30.6 30.2 t
—35* —2«.7 —14.0 — 13.3 — 10.5 —7.7 —4.9
—47.0 —57.5 —63.6 — 65.2 —62.8 _ J i.o 543.1 $42.8 —2.0 kf
546.9 545.6 543.9 543.6 543.3 100.00 100.00 3 4 2 * ks
580.6 572.5 566.3 561.0 556.7 99.99 546.0 99.99 100.00 100.C0
100.00 100.00 Xs
3 99.68 99.82 99.87 99.91 99.95 99.99

92.5 79.7 69.4 60.9 54.0 48.5 43.8 39.9 364 37.0 36.4 35.8 35.2 34.7 34.2 33.7 33.3 329 32.3 32.1 31.1 t
—8.7 —5.9 —3.1 —0.2 kf
—45.0 —55.5 —61.7 —63.4 —61.0 —55.4 —47.7 —37.9 — 3 3 . * —29.1 —26.9 - 24.4 —22.0 - -19.4 —16.8 — 14.2 — 11.5 543.7 543.$ 343.2 342.0 ks 62
581.3 573.2 566.9 561.5 557.1 553.7 544.9 544.0 100.00 100.00 100.00 100.00 Xs 64
550.7 548.3 547.3 546.4 546.0 545.7 545.3 544.6 544.3 65
1 99.67 99.81 99.87 99.91 99.95 99.97 99 98 99.98 99.99 99.9* 99.99 99.99 99.99 99.99 99.99 100.00 100.00 34.4 34.0 33 6 33.3 t 70
—7.0 —4.2 — 1.4 1.5 ht 75
94.3 81.5 71.0 62.5 55.6 50.1 4 5.3 41.4 40.0 - »38|6 37.9 37.4 36.8 36.3 35.8 35.3 34.8 544.1 343.9 343.6
-59.4 - 53.7 —46.0 — 36.2 — 31.9 sM#.#: - 25.2 - 22.8 —20.3 —17.7 — 15.1 — 12.5 —9.8 100.00 100.00 100.00 343.4 h,
—43.1 — 53.6 —60.0 —61.7 557.6 99.** 544.4 100.00 Xs
554.1 551.1 548.7 547.7 546.4 546.1 545.7 545.3 545.0 544.7 100.00 35.2 34.* 34.4
582.0 573.8 567.4 562.0 99.95 99.97 99.98 99.98 99.99 99.99 99.99 99.99 99.99 99.99 100.00 —6.2 —3.4 —0.6 34.1 t
$44.3 544.1 $43.8 2.3 hf
8 99.66 99.79 99.86 99.91 100.00 100.00 100.00
543.4 hs
95.1 82.4 71.8 63.3 56.4 50.8 46.1 42.1 40.7 39.3 38.7 38.1 37.5 37.0 36.5 36.0 35.6 368 3*4 34.0 100.00 Xs
—42.1 — 2.7 — :9.1 —60.8 - -565 —52.9 —45.2 —35.4 —31.1 —24.7 — 24.4 —22.0 —19.5 —16.9 —14.3 —11.7 —9.0 —2.3 0.5 3.4
574.1 567.7 557.8 551.3 546.2 545.5 544* $45.2 37.7 t
582.4 562.2 554.3 548.8 547.9 547* 546.5 545.9 545.2 544.9 100.00 544.9 544.7 6 3 bt
99.99 100.00 100.00 100.00
7 99.65 99.80 99.86 99.91 99.95 99.97 99.97 99.99 99.99 99.9* 99.99 99.99 99.99 99.99 100.00 42.2 544.5 bs
1.5 41.8 41.4 100.00 Xs
99.4 86.6 75.8 67.2 60.2 54.6 49.7 45.7 44.3 42* 42.2 41.4 41.1 40.6 40.1 39.6 39.2 4.3 7.2 I
-13.0 — 10.4 —7.7 —5.0 546.1 41.1 t
—37.4 —48.1 —54.8 —56.7 —54.4 —48.8 —41.2 —31.4 —27.2 —22.7 —20.4 —18.0 — 15.5 546.4 545.8 545.5 100.00 545.8 $4$. 5 10.1 ki s
555.5 549.8 546.7 546.1 100.00 100.00 100.00 100.00 545.3 k. i
584.3 575.8 569.1 563.6 559.1 552.4 548.9 $48.0 547.5 547.1 99.99 99.99 100.09 Bs
5
0 99.61 99.77 99.85 99.91 99.95 99.97 99.97 99.98 99.98 99.99 99.99 99.99 99.99
%
103.7 90.7 79.6 71.0 64.0 58.5 53.6 49.5 48.0 46.5 45.8 45.2 44.6 44.1 43.6 43.1 42.6
—9.2 —6.6 —3.9 — 1.2
—32.8 —4 3.6 —50.6 —52.6 — 5 0 . 2 —44.5 — 3 6 . 9 —27.2 —23.0 —18.7 —16.5 —14.1 —11.7 547.3 547.0 546.7 546.4
586.3 570.4 565.0 560.6 556.8 553.6 548.1 547.7 100.00 100.00
577.6 550.9 549.9 549.0 548.5 99.99 99 99
5 99.55 99.75 99.84 99.90 99.94 99.97 99.97 99.98 99.98 9*.** 99.99 99.99 99.99

107.7 94.4 83.2 74.6 67.7 62.1 57.2 53.0 51.5 50.0 49.2 48.6 48.0 47.4 46.9 46.4 45.9 45.5 45.1 44.7 44.4 «
—40.4 —32.9 —23.4 —19.2 — 14.4 — 12.8 — 10.4 —3.5 —2.9 —0.3 2.4 5.2 6.0 10.8
—28.4 —39.5 —46.6 —48.6 —46.1 —a.o 548.2 547.8 547.5 $44.3 13.9 kt 80
558.0 554.7 551.9 550.9 549.* 549.4 549.0 547.2 546.9 546.6 106.00 $461 ks 85
588.1 579.1 571.7 566.3 561.8 99.9* 99.97 99.98 99.98 99.9* 99.99 99.99 548.6 99 99 99.99 99.99 100.00 100.00 100.00 100.00 Xs 99
99.99 47.8 95
0 99.48 99.72 99.83 99.90 99.93 65.6 60.6 56.3 54.8 53.2 52.4 51.8 51.2 50.6 50.1 49.5 49.1 48.6 48.2 14.3 47.$ t 100
—36.5 —29.1 — 19.6 —15.5 —1IJ —9.2 —6.8 —2.0 0.6 3.2 5.9 8.6 11.4 547.0 17.2 ki
111.3 98.0 86.6 78.2 71.2 550.2 549.8 —4.4 549.0 547.3 100.00 $46.8 ks
559.0 555.6 552.8 551.8 $$0.7 5494 548.6 548.2 547.9 547.6 100.00 100.00 Xs
—24.3 —35.5 —42.8 —44.8 —42.2 99.96 99.97 99.98 99.98 99.99 99.99 99.99 99.99 99.99 99.99 100.00 100.00 50.8
99.99 31.3 17.6 50.5 t
589.7 580.5 572.9 567.4 562.8 68.7 63.7 59.4 57.8 56.3 35.6 55.0 33.8 53.2 52.7 52.2 51.7 14.7 547.7 20.5 kt
—32.9 —25.6 — 16.2 — 12.1 —7.* —5.8 —3.4 54.4 1.5 4.0 4.4 9.2 12.0 548.0 100.00 547.4 ks
2 99.41 99.69 99.83 99.90 99.93 531.5 551.0 550.6 —1.0 $48.3 100.00 100.00 Xs
559.9 556.5 553.6 552* 550.1 549.7 549.3 548.9 548* 100.00 53.7
114.7 101.4 90.0 81.5 74.4 99.95 99.97 99.98 99.98 99.99 99.99 99.99 99.99 99.99 99.99 99.99 54.1 20.8 53.3 t
99.99 54.6 17.9 548.3 23.7 kf
—20.5 —31.8 —39.1 —41.1 —38.5 71.7 66.6 62.4 60.8 $9.3 58.5 57.8 56.6 56.1 55.5 55.0 15.1 548.7 100.00 548.0 ks
—29.5 —22.2 —12.8 —8.8 —4.6 —2.5 —0.2 57.2 4.6 7.2 9.8 12.4 549.0 100.00 100.00 Xs
591.3 581.8 574.0 568.4 563.7 553.3 $52.3 551.8 551.3 2.2 549.3 100.00 56.5
560.7 557.3 554.4 550.5 550.1 549 7 99.99 54.9 23.9 560 t
4 99.34 99.65 99.82 99.89 99.93 9995 99.97 99.98 99.98 99.98 99.98 99.99 550.9 99.99 99 99 99.99 57.4 21.0 548.9 2 6 8 kf
99.99 57.9 18.2 549.3 100.00 548.6 ks
117.9 104.5 93.2 84.6 77.5 74.6 69.5 65.2 63.6 42J 61.4 60.8 59.6 59.0 564 15.5 S49.6 100.00 100.00 Xs
—26.3 — 19.0 —9.8 — 5.7 —1.4 0.5 2.9 60.2 7.7 10.3 12.9 550 0 100.00
— 16.9 —28.3 —35.6 —37.6 —35.0 555.1 554.0 5S3.0 5.3 550.8 550.4 99.99
561.4 558.0 552.5 552.0 551.2 99.99 99.99
592.9 583.1 575.1 569.4 564.6 99.95 99.96 99.97 99.96 99.4* 99.98 99.99 551.6 99.99
99.99
6 99.26 99.61 99.81 99.88 99.93

121.0 108.3 96.3 87.7 80.5
—13.5 —24.8 —32.0 —34.1 —31.7

594.4 584.4 576.2 570.3 565.4
99.19 99.57 99.80 99.87 99.93

124.0 110.6 99.3 90.7 83.4 77.4 72.2 67.9 66.3 64.8 64.1 63.4 62.8 62.2 61.6 61.1 60.5 60.0 59.6 $9.1 58.7 t 185
— 10.2 —21.6 —28.6 —30.7 —28.4 —23.0 —160 —68 —2.8 1.3 3.4 5.7 8.1 10.6 13.1 15.7 18.4 21.1 23.9 26.8 29 8 ht 116
555.7 554.6 551.7 5513 550.9 550.5 5561 549.8 549.4 544.1 ks 115
595.9 585.6 577.3 571.3 99.92 562.2 5567 553$ 55.1.0 552.5 552.1 99.99 99.99 99.99 99.99 100.00 106.90 190.60 100.09 as 128
99.12 99.53 99.78 99.86 99.94 99.96 99.97 99.98 99*8 99 9* 99 9* 99.9* 123
64.6 64.1 63.5 63.0 62.5 62.0 61.6 61.2 t
126.9 113.4 102.2 93.5 86.2 80.1 74.9 70.4 68.8 47.3 66.6 65.9 45.3 13.2 15.8 18.4 21.0 23.8 26.6 29.6 32.6 kt
—7.0 —18.3 —25.3 —27.5 -25.3 — 19.9 — 13.0 —3.9 0.0 4.9 6.1 8.4 552.1 551.7 551.3 550.9 550.5 550.2 549.9 549.6 ks
597.2 556.2 to.* 99.99 99.99 99.99 99.99 100.90 100.00 100.00 100.00 Xs
586.9 578.4 572.2 567.1 562.9 559.3 555.! $54.9 553$ $53.0
99.05 99.49 99.76 99.91 99.93 99.95 99.97 99.97 99.91 99.98 99.98 552.6 67.2 66.6 66.0 *5.5 65.0 64.5 44.1 *3* t
99.85 99.9* 159 18.4 21.1 25.8 26.6 29.4 32.4 35.4 bt
73.0 71.4 69.1 69.1 61.4 552.7 5$2.3 551.8 351.4 551.0 550.7 $56.4 550.1 bs
129.7 116.2 105.0 96.2 88.8 82.7 77.4 —1.1 2.8 61 8.8 11.1 13.5 99.99 •9.99 99.99 99.99 100.00 100.00 100,60 100.99 X*
—3.8 —15.3 —22.2 —24.4 - 22.4 —16.9 —10.0 557.0 533.6 $53.2
598.5 355.7 554.7 334.1 99.9* 69 6 69.0 46.4 *7.9 67.4 464 64.5 44.0 1
588.1 579.5 573.1 567.9 563.7 $60.1 99.96 *9.»7 99.98 99.98 167 21.2 25.8 26.5 29.5 32.1 *$.0 34.1 kt
98.99 99.44 99.73 99.84 99.90 99.93 99.9$ **.*• 70.9 553.2 552.8 552.3 551.9 551.2 $$0.8 550.5 ks
7S.$ 73.9 71.6 13.9 76.3 99.98 99.99 99.99 $$!.$ 100.90 100.09 166.90 X*
132.5 118.9 107.6 98.8 91.4 85.3 80.0 1.8 5.7 t2J 11.6 354.2 16.3 SPPS-INF
4.4 554.7 94.91 553,7 72.6 71.4 79.8 99.W 69.2 377 664
—0.6 — 12.2 — 19.2 —21.5 —19.5 — 14.1 —7.2 S57.7 556.5 99.9* *9.4f 21.4 23.9 29.2 34.7 MIL*
99.96 99.97 555.3 73.3 353.7 353.3 553.8 352.4 69.7 SSI.4 100.00 40.7 m
599.7 589.2 580.5 573.9 568* 3*4.5 560.8 99.97 73* 166 72.6 *9.ft* •9*9 31.9 1*0,91
77.9 763 14.4 S54.7 19.6 •9 99 96 553.6 99 856.9 ks
0 98.93 99.40 99.70 V9.82 99.89 99.92 99.94 4.7 65 74,7 555.2 **).**} 98 94 99**9 98 166.96 Xs
134 •A 93
135.2 121.5 110.2 101.4 93* 87.8 82.4 $$61 356* f».*7 •1 9T 188
2.4 —9.2 — 162 —18.6 — 16.8 —11.2 99.96 99.97 5*5i5.«6? 92
590.3 561.3 90
601.0 581.5 574.8 569.4 5*5.1 99.93 85 87 19
98.87 99.35 99.66 99.79 99.87 99.91

SO 55 60 ~6S 70 75 8 0

TABLE I—PROPERTIES OF AQUA-AMMO

AMMONIA CONCENTRATION

10 15 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48

130 » 347.3 335.9 324.9 314.2 303.8 293.7 269.0 247.6 239.3 231.0 222.8 214.9 207.0 199.4 192.0 184.7 177.5 170.4 163.6 156.9 150.4 144.0
135 ht 318.7 301.0 283.7 266.8 250.2 234.1 195.6 159.8 146.2 133.2 120.3 108.0 96.1 84.6 73.5 42.7 53.4 42.4 33.4 25.2 17.7 11.1
140 hs 1191.2 1124.0 1063.2 1008.4 959.1 915.1 826.0 759.8 739.0 720.8 704.8 690.5 666.6 648.3 640.1 632.1 625.5 619.4
145 XT 0.00 45.71 69.74 80.50 83.62 88.59 90.53 677.7 93.47 657.1 45.45 96.24 96.87 97.43 97.88 613.6 607.9
150 14.09 26.35 36.31 54.01 86.30 92.1* 94.5* 98.25 98.56
350.2 306.8 272.4 250.6 242.2 225.6 217.6 202.2 187.4 180.2 173.1 166.3 159.6
321.8 339.0 528.0 317.3 253.2 296.6 198.8 163.0 149.4 233.9 123.5 111.2 2098 87.7 194.7 65.8 55.4 45.5 36.5 28.2 153.0 146.6
1191.8 304.0 286.6 269.7 962.1 237.1 829.3 762.9 741.9 136.3 707.4 693.0 99.2 76 5 650.2 641.9 633.8 627.1 620.9 20.7 14.0
1125.5 1065.3 1011.0 918.3 723.6 669.0 95.32 96.12 96.78 97.34 97.80 614.9
0.00 45.32 69.34 80.21 83.34 88.35 90.32 680.1 93.30 639.2 98.18 609.2
13.89 26.04 33.92 53.58 86.0* *1.97 94.44} 190.0 182.8 175.8 168.9 162.2 98.50
353.0 309.7 273.2 253.4 245.1 228.4 220.3 204.8 68.8 58.5 48.6 39.6 31.2 155.6
324.7 341.8 330.8 320.1 256.1 299.5 201.9 166.1 152.6 236.7 1266 114.2 212.4 90.7 197.3 632.1 643.6 635.4 628.6 622.3 23.7 149.2
1192.4 306.9 289.5 272.6 965 1 240.0 832.5 765.9 744.8 139.4 709.9 695.4 102.2 79.5 95.19 96.02 9666 97.25 97.73 616.2 16.8
1126.9 1067.4 1013.6 921.5 79.92 83.08 726.3 88.13 682.4 671.2 461.2 98.10
0.00 44.92 68.96 90.16 93.14 94.2* 192.3 185.3 178.3 171.4 164.4 610.4
13.69 25.74 35.5* 55.18 256.2 247.8 85.82 231.0 91.78 71.7 61.4 51.5 42.5 34.2 158.0 98.44
355.1 312.5 277.9 169.1 155.6 129.6 222.9 207.4 199.9 26.5
327.6 344.6 333.5 322.9 259.0 302.3 204.9 768.7 747.4 239.4 712.2 117.2 215.1 93.6 82.5 653.9 645.3 637.0 630.1 623.7 151.5
1193.0 309.8 292.4 275.5 968.0 243.0 833.5 142.4 697.6 105.2 95.08 95.91 96.54 97.14 97.65 617.5 19.6
1128.4 1069.5 1016.2 924.6 79.65 82.84 728.8 87.94 684.6 673.3 663.1 98.04
0.00 44.56 68.61 89.99 92.98 94.14 195.0 187.8 180.7 173.8 167.0 611.6
13.62 25.4$ 35.23 52.79 258.9 250.5 85.59 233.6 91.61 74.7 64.4 54.4 45.4 37.0 160.3 98.38
358.4 315.2 280.6 172.0 158.5 132.6 225.5 209.9 202.3 29.2
330.4 347.2 336.2 325.6 261.8 305.0 207.7 771.0 749.5 242.0 714.1 120.2 217.6 96.6 85.5 6556 646.9 638.5 631.5 625.0 153.8
1193.5 312.6 29$. 2 278.2 970.7 245.7 838.0 79.38 82.61 145.4 17.74 699.4 108.2 94.97 95.80 96.46 97.07 97.57 618.7 22.3
1129.7 1071.6 1018.7 44.21 927.5 68.28 730.7 89.80 686.5 675.1 664.9 97.98
O.OO 25.16 $2.41 85.37 91.44 92.83 93.94 612.7
13.33 34.95 98.33

160 t 363.6 352.2 341.2 330.7 320.4 310.2 285.8 264.0 255.4 247.0 238.7 230.6 222.5 214.8 207.2 199.7 192.5 185.4 178.4 171.6 164.9 158.3
170 ht 335.9 318.0 299.7 283.6 266.9 251.2 213.1 177.5 164.0 150.8 138.1 125.7 113.7 102.1 91.0 80.2 69.8 59.8 50.7 42.3 34.5 27.4
180 hs 1194.5 1132.2 1075.2 1023.2 975.9 933.0 843.5 776.0 754.2 735.0 718.1 703.2 690.1 678.5 668.0 658.5 649.7 627.4 621.0
190 xs 0.00 82.16 84.94 93.7* 94.75 95.5* 641.2 634.0 97.42 97.85 614.8
200 13.01 24.61 34.41 43.5* 51.70 67.64 78.85 87.33 89.41 91.12 92.54 96.26 96.88 98.21
t 368.4 260.2 251.7 211.8 204.3 197.0 175.9 169.1
ht 341.0 357.2 346.2 335.7 325.4 315.2 290.7 268.7 169.1 1560 243.3 235.1 227.2 219.4 96.3 85.5 75.1 189.8 182.8 47.4 39.5 162.5
h. 1195.4 323.2 305.9 289.0 272.5 256.5 218.3 182.7 758.7 759.1 143.3 131.0 119.0 107.5 65.0 55.9 32.4
xs 0.00 1134.6 1078.6 1027.4 980.7 938.2 848.7 780.8 81.74 84.55 721.9 706.8 693.5 681.6 671.0 6*1.3 652.5 629.9 623.4
24.09 33.90 42.96 31.04 67.04 78.33 86.98 89.10 90.81 92.25 93.4$ 94.47 95.37 644.0 636.7 97.26 97.72 617.0
t 373.0 12.72 264.6 2561 96.06 96.70 98.09
ht 346.0 350.7 340.3 330.1 319.9 295.4 273.2 174.0 160.8 247.7 239.5 231.6 225.7 2160 206.3 201.1 179.9 173.2
hs 1196.3 361.6 311.0 294.1 277.6 261.6 223.2 187.5 762.8 743.0 148.1 135.8 124.0 112.5 101.3 90.5 80.0 193.8 186.8 52.2 44.4 166.6
xs 0.00 328.3 1081.8 1031.4 985.2 943.0 853.4 785.2 81.27 84.17 725.5 710.2 696.9 684.8 674.0 69.9 60.8 632.3 625.6 37.3
1136.7 86.65 90.49 664.2 655.1 97.11 97.38
t 377.6 23.61 33.41 42.41 50.41 66.43 77.83 268.9 260.4 88.76 91.97 93.1* 94.25 95.16 646.6 639.2 619.1
hr 350.8 12.45 178.6 165.4 252.1 235.7 95.87 96.54 183.9 177.2 97.97
hs 1197.0 355.1 344.7 334.5 324.4 300.0 277.5 766.8 746.8 152.8 243.8 128.8 227.8 220.2 212.6 205.2 57.1 49.2
xs 0.00 366.1 316.0 299.2 282.8 266.6 228.0 192.2 80.87 83.80 729.1 140.5 700.3 117.3 106.2 95.4 84.9 197.9 190.8 627.6 170.5
333.2 1084.9 1035.3 989.6 947.7 858.0 789.5 86.27 713.7 90.17 6*8.0 677.0 74.8 65.6 634.3 97.44 41.9
t 381.8 1138.8 77.34 273.0 264.5 91.70 92.94- 667.0 657.7 96.95
hf 355.3 23.17 32.93 41.91 49.81 65.83 183.1 170.0 256.1 88.41 239.8 94.03 94.95 649.0 641.4 181.0 620.9
hs 1197.8 12.21 281.7 770.9 750.6 157.5 133.5 231.9 224.2 95.68 96.39 187.8 53.8 97.84
XT O.OO 359.4 349.0 238.8 328.8 304.4 196.8 80.45 732.7 247.9 703.7 122.0 110.9 216.7 209.2 61.9
370.4 320.8 304.2 287.5 271.4 232.6 793.7 83.43 85.93 145.1 89.88 691.2 680.0 100.2 89.8 202.0 194.8 629.5 174.3
337.9 1078.8 1038.7 993.5 952.0 862.4 76.86 717.2 91.42 92.71 669.8 79.7 70.5 636.5 97.32 46.5
1140.7 88.11 93.82 660.4 96.81 622.8
22.77 32.46 41.46 49.25 65.25 94.73 651.5 643.7 97.72
11.98 95.52 96.24

210 t 315.9 374.5 363.6 353.1 342.9 332.8 308.6 285.8 277.0 268.4 259.6 251.8 243.7 235.8 2280 220.4 212.9 205.6 198.4 191.4 184.5 177.8
220 ht 339.8 342.4 325.3 308.5 292.0 275.9 237.0 201.1 187.5 174.4 161.7 149.5 138.0 126.7 115.4 104.6 94.2 84.1 74.8 66.2 58.1 50.6
230 hs 1198.4 1142.3 1090.2 1041.8 997.1 955.9 866.6 797.7 774.7 754.2 736.1 720.3 706.5 693.8 682.4 672.0
240 XT 0.00 48.73 80.05 83.06 85.59 89.42 91.18 93.62 662.5 653.6 645.7 638.4 631.3 624.5
250 11.76 22.39 32.01 41.03 64.71 76.39 87.80 92.4* 94.37 95.35 96.11 96.68 97.20 97.60
t 389.9 336.8 280.8 272.2 263.1 247.4 239.5 224.1
hr 364.0 378.6 367.7 357.1 346.9 280.4 312.7 289.7 191.7 178.5 165.9 255.6 142.2 131.2 231.7 108.8 216.5 209.2 202.0 194.9 188.0 181.3
h. 1199.0 346.7 329.7 313.0 290.5 959.7 241.2 205.4 778.5 757.7 739.4 153.8 709.3 696.4 119.7 674.2 98.5 88.3 79.1 70.3 62.2 54.7
XT 0.00 1143.9 1092.5 1044.8 1000.6 870.8 801.7 723.3 6*4.7
48.25 79.65 82.88 85.27 19.37 90.»4 93.44 664.5 655.6 647.6 640.2 633.1 626.2
393.7 11.52 22.02 31.58 40.60 64.18 75.94 87.50 92.2* 94.41 95.21 95.98 96.56 97.09 97.51
368.1 340.7 284.7 2760 267.6 250.9 243.2 227.7
1199.6 382.5 371.7 361.0 350.7 284.7 316.6 293* 195.9 182.7 170.0 259.2 140.3 135.6 235.1 113.0 220.0 212.9 205.5 198.4 191.5 184.8
350.9 333.9 317.2 300.8 963.3 2455 209.6 782.0 761.1 742.5 157.9 712.0 699.0 123.8 676.5 102.7 92.6 83.3 74.5 66.4 58.8
0.00 1145.4 1094.8 1047.6 1003.8 874.7 805.4 79.25 84.95 726.2 19.13 687.0 •3.27 666.6
47.79 82.32 87.20 96.71 94.25 657.7 649.6 642.1 634.9 627.8
397.4 11.29 21.66 31.17 40.17 63.67 75.52 288.5 271.1 254.4 92.09 231.1 95.06 95.85 96.44 96.98 97.43
372.1 344.5 199.8 279.6 174.1 262.6 150.8 246.8 117.2 223.4
1200.1 386.4 375.6 364.9 354.6 288.9 320.3 297.2 785.5 186.4 745.6 161.3 714.7 139.9 238.2 678.5 106.8 216.0 208.9 201.8 194.9 188.1
355.0 338.1 321.4 305.0 966.9 249.8 213.6 764.4 84.63 729.0 88.88 701.5 127.1 93.09 668.7 96.8 87.6 78.9 70.7 62.8
0.00 1146.8 1097.0 1050.5 1007.1 47.35 878.6 809.1 78.88 81.97 86.91 90.4* 669.2 94.10
63.17 274.6 257.7 91.96 234.5 659.8 651.6 643.9 636.6 629.4
t 401.0 11.06 21.30 30.78 39.75 348.2 75.11 291.8 283.1 178.2 266.1 155.2 256.2 121.2 226.6 94.90 95.72 96.34 96.89 97.35
kt 376.0 293.0 324.2 203.7 190.4 748.8 165.6 717.5 144.0 241.7 410.1 110.8
hs 12O0.5 390.1 379.3 368.6 358.3 970.1 253.5 300.8 789.1 767.8 84.32 732.0 18.64 704.0 131.8 92.91 670.9 219.2 212.0 205.0 198.0 191.2
XT 0.00 359.0 342.2 325.6 309.1 882.3 217.5 81.63 86.65 90.21 691.7 93.95 100.7 91.4 82.6 74.4 66.7
1148.1 1098.8 1052.8 1010.0 46.94 812.9 78.51 *1.7* 661.8
20.96 30.41 62.68 94.75 655.5 645.6 638.1 630.8
10.84 39.54 74.70 95.61 96.25 96.81 97.29

260 1 404.4 393.6 382.9 372.2 361.9 351.8 327.7 304.2 295.2 286.5 278.0 269* 261.0 253.5 243.4 237.7 229.9 222.4 215.1 208.0 201.0 194.2
270 kt 379.8 362.9 346.1 329.5 313.1 294.9 257.3 221.3 207.5 194.4 181.8 169.8 159.1 I47.S 156.1 125.S 114.9 104.5 95.2 86.4 78.1 70.5
280 hs 1201.0 1149.4 1100.9 1055.4 1012.9 973.3 885.6 816.0 792.2 770.8 751.7 734.9 720.2 706.4 694.1 683.0 673.0 663.8
298 XT 0.00 90.05 92.74 655.3 647.3 639.6 632.1
300 10.62 20.62 30.05 38.96 46.56 62.23 74.30 78.15 81.32 84.04 86.40 88.40 91.56 93.80 94.60 95.50 96.17 96.73 97.23
t 407.8 256.6 346.8
ht 313.4 397.0 386.4 375.8 365.4 355.3 331.0 307.5 298.4 289.7 281.2 272.9 2*4.2 151.4 248.6 129.0 233.1 225.5 218.1 211.0 204.0 197.2
hs 1201.4 366.6 350.0 332.9 317.0 300.8 260.9 224.9 211.1 197.9 185.4 173.5 162.7 708.8 140.0 415.0 US.7 108.4 99.0 90.1 81.8 74.2
XT 0.00 1150.5 1102.6 1057.6 1015.5 9762 889.0 819.4 795.5 774.0 754.7 737.6 722.7 89.84 696.5 92.57 674.8 665.6
20.29 29.71 61.80 81.03 83.80 86.16 18.16 93.66 94.45 657.0 648.9 641.1 633.5
411.1 10.40 38.59 46.21 73.90 77.81 259.5 vl.J! 343.4 95.40 96.09 96.65 97.17
317.0 389.8 379.2 334.4 292.8 284.3 273.8 267.4 154.8 132.1 236.0 228.5
1201.8 4004 353.6 337.1 3*8.8 *567 264.6 310.7 301.6 201.3 188.8 176.6 166.1 711.2 251.4 417.1 122.5 112.2 221.3 214.1 207.1 200.2
370.3 H04.3 1059.8 320.7 304.5 892.4 228.4 214.6 777.1 757.7 740.4 725.2 89.43 143.1 676.8 667.5 102.8 94.0 85.6 77.8
0.00 1131.5 tots.i 979.1 822.8 798.8 83.57 698.4 92.40 658.8
19.97 29.39 61.40 80.77 85.90 87.92 262.4 . 93.53 94.30 95.30 650.6 642.7 634.9
414.2 10.18 38.23 45.8* 73.50 77.50 287.4 158.0 91.14, 24f..5 96.02 96.58 97.12
3*0.5 393.0 382.5 337.6 295.9 192.2 278.3 270.3 713.5 136.4 239.0 231.6 224.3
1202.1 403.6 357.2 340.7 372.1 362.0 268.2 513.8 304.7 204.6 760.7 180.0 169.4 254.3 MP*! 1260 116.0 106.6 217.2 210.1 203.1
373.8 1105.8 1061.8 324.3 368.1 895.7 231.8 217.9 780.2 83.37 743.2 727.8 89.42 144.4 92JM 678.6 669.4 660.5 97.8 89.3 81.3
0.90 1152.5 1020.5 981.8 826.1 802.0 700.6 95.20
19.65 29.09 61.00 80.54 290.4 85.67 87.68 265.1 349.4 93.40 94.15 652.2 644.2 636.3
417.3 9.96 37.87 45.51 73.10 77.25 195.4 161.2 90.9* 139.1 227.5 95.96 96.52 97.07
3*3.* 396.3 385.8 340.8 299.0 763.6 281.8 273.2 715.8 6*1.1 241.9 234.6 110.4
1202.4 4968 360.8 344.3 375.5 3*5.3 271.6 316.9 307.8 208.0 83.20 183.5 172.4 257.2 129.6 119.8 662.2 220.2 213.0 205.9
377.4 1107.3 10*38 327.9 311.7 898.9 235.3 221.4 783.3 745.9 730.3 89.20 150.3 9205 680.4 671.2 101.5 93.0 84.8
O.OO 1153.5 19.33 21.11 1022.9 914.5 60.60 129.3 805.2 80.35 26 702.6 95.12 653.7
37.53 45.17 72.70 77.00 85.47 87.44 32 93.28 94.00 645.6 637.6
9.75 15 24 99.7* 42 95.90 96.46 97.0
10 20 22 28 30 38 40
34 44 46 48

ONIA SOLUTIONS— (Continued page 4)

N, WEIGHT PER CENT

50 55 60 65 70 75 80 85 87 89 90 91 98 93 9S 97 188

157.8 124.1 112.8 103.9 96.4 90.2 84.8 80.3 766 79.4 74.3 73.6 74.9 74.3 73.7 73.1 72.5 72.0 71.3 71.0 70.5 t
—8.5 —1.7 7.2 11.1 169 19.2 31.5 23.9 26.4 29.9 31.7 34.4 37.3 49.3 41.2 b«
5.3 —6.5 —13.5 —13.9 —14.0 565.7 561.8 557.3 553.4 355.1 554.6 554.1 353.7 353.2 552* 552.4 5 $2.0 551.4 531.5 k, ISO
602.2 558.5 99.9* 99.97 99.9* 99.96 99.98 99.91 99.99 99.99 99.99 190.99 100.09 100.09 Xs 185
591.4 582.4 375.7 570.2 99.90 99.92 99.95 148
80.9 79.4 77.9 77.3 76.6 76.0 75.4 74.8 74.2 73.7 73.2 72.7 t 145
6 98.82 99.31 99.62 99.7$ 99.85 92.5 87.1 82.6 13.8 19.1 22.1 24.4 26.8 29.3 51.9 34.5 37.2 39.9 42.9 45.7 kf ISO
—6.0 0.9 9.9 557.9 554.2 555.7 555.1 554.6 354.2 553.7 553.3 552.9 532.4 5*20 551.* k«
140.3 126.5 115.1 106.3 98.8 566.5 99.95 99.97 •9.97 99.9* 99.91 99.98 99.99 99.** 99.** *9.*» loo.oo 100.00 X.
562.5 559.1
8.2 —3.7 — 10.7 — 1 3 . 0 — 1 1 . 2 99.88 99.91 99.94 83.1 90.8 80.1 79.4 78.8 78.2 77.5 77.0 764 75* 75.3 74.9 I
603.4 376.7 16.3 22.3 24.6 27.0 29.3 31.8 34.3 37.0 39.6 42.4 43.2 441 kf
592.4 583.3 571.1 94.8 89.4 84.8 558.4 554.7 554.2 555.4 355.1 554.7 554.2 353.7 353.3 553* 352.4 3 5 2 0 k«
—5.4 3.5 12.4 99.94 99.** 99.94 •9.97 99.97 99.98 99.99 99.** •9.9* •9.99 99.99 100.00 Xs
0 98.77 99.26 99.58 99.71 99.82 567.2 559.6
563.1 99.93 8S.3 83.0 82.3 11.4 80.9 80.3 79.7 79.0 7*5 77.» 77.4 76* t
142.7 128.9 117.4 108.7 101.2 99.86 99.89 18.8 24.8 27.1 29.4 31.8 34.2 34.* 39.4 42.1 446 47.5
84.9 558.9 557.1 5565 556.0 $55.5 555.0 554.5 554.0 553.6 553.1 552.7 J0.4 kf
10.9 — 1 . 2 —8.0 —10.4 —8.6 97.0 91.6 14.8 99.94 99.94 99.96 99.97 99.97 99.98 99.91 9».9» 99.99 9*99 2.3 ks
—0.9 5.9 566.1 ••.»• 106.00 Xs
604.5 593.4 584.2 $77.6 572.0 567.8 99.93 •7.4 85.1 84.4 83.7 83.0 •2.3 • 1.7 80.5 79» 79.4 788 I
99.84 563.7 21.2 27.2 29.5 31.8 34.2 34.4 39.2 81.1 44.4 47.1 49* 527 ht
4 98.72 99.22 99.54 99.67 99.79 99.88 89.1 359.3 557.4 556.8 556.3 555.8 555.3 534.8 41.7 553.* 553.4 533.0 5 5 2 7 b«
99.2 17.4 **.94 99.94 99.96 99.97 99.97 99.98 99.98 554.3 99.99 100.90 XT
145.1 131.1 119.7 111.0 103.4 1.6 93.7 5*0.6 99,99 »».•» ••.»»
8.5 99.92
13.5 1.4 —5.4 — 7 . 7 —S.» 56S.4
99.82 564.2
605.6 594.3 585.0 578.3 572.7 99.88

8 98.67 99.16 99.50 99.64 99.77

147.4 133.4 122.0 113.2 105.6

16.1 3.9 —2.9 —5.3 —3.5

606.6 595.1 585.7 579.0 373.3

3 98.62 99.14 99.46 99.61 99.75

151.8 137.8 126.2 117.4 109.8 103.4 97.9 93.1 91.4 89.0 88.3 87.6 86.9 86.2 •5.4 44.9 84.3 93.9 •3.2 •2.4 t
31.9 34 I 36.4 38.7 41.2 43.4 48.* 315 54.2 S7.1 hf
21.2 8.9 2.0 — 0 . 4 1.3 6.5 13.3 22.1 26.0 558.3 557.8 557.2 556.6 556.1 555* 46.2 534.5 554.1 553.6 553.3 b. 168
608.6 596.9 587.5 580.6 574.6 9995 99.95 99.96 99.»7 99.97 99.96 555.1 99.99 99.»9 100.00 xs 170
569.5 565.2 561.5 560.2 99.9* »*.»*
1 98.51 99.06 99.40 99.57 99.71 92.8 92.0 91.3 90.6 89.9 89.2 87.4 **.* 84.3 t
99.80 99.87 99.91 **.93 36.2 38.4 40.6 43.0 45.4 47.9 g.4 •60 $$.7 41.3 bf
558.8 558.2 557.6 557.1 554.5 5560 4 53.0 554.6 58.4 553.7 ks
156.1 142.0 130.4 119.8 114.0 107.4 101.7 96.9 95.2 99.95 99.95 99.96 99.97 99.»7 99.9* 55$.$ $S$.0 99.99 554.1 190.00 xs
59.** 94.99 •9.99
26.0 13.6 6.7 4.3 6.1 11.2 17.9 26.6 30.3

610.6 598.6 589.1 582.0 575.8 570.5 566.0 562.1 $60.7

9 98.41 98.98 99.34 99.53 99.68 99.78 99.86 99.*1 99.93

160.2 146.1 134.4 125.4 117.7 111.1 105.5 100.6 969 96.5 95.7 95.0 94.2 93.4 92.9 92.2 91.6 91.0 90.4 •9.8 t
15.6 22.2 50.9 34.6 40.4 42.5 44.8 47.1 4».S 32.0 $4$ $7.1 59.1 62.4 45.4 kt
31.0 18.5 11.3 8.8 10.5 561.6 559.6 559.0 558.4 $$7.8 557.2 556.7 55*1 555.6 555.1 554.4 554.1 h. 188
571.5 566.9 563.0 99.93 99.94 99.95 99.96 99.97 99.97 99.96 99.98 99.99 99.99 94.W 100.99 XT 198
612.6 600.3 590.5 583.1 576.8 99.77 99.8* 99.*1
102.4 100.0 99.2 98.4 97.7 97.0 94.3 95.4 950 94.4 #3.7 93.1 I
7 98.30 98.90 99.28 99.50 99.66 114.7 109.0 104.2 38.8 44.5 46.6 48.9 51.2 53.5 56.0 $8.5 61.1 63.7 44.4 69.2 kf
19.8 26.4 35.1 5*0.0 559.4 558.7 558.1 557.5 567.0 $54.4 555.9 5$$.4 554.5 k,
164.0 149.9 138.4 129.2 121.4 562.2 99.94 99.95 99.96 99.97 99.97 99.98 99.98 99.99 99.99 3»S»4..»»» 100.00 xs
572.4 567.7 563.7 99.92
35.5 22.9 15.9 13.2 14.7 99.76 99.85 99.90

614.3 601.8 591.8 584.1 577.7

4 98.19 98.82 99.24 99.48 99.64 *9J3

167.7 153.5 142.2 132.8 124.9 118.2 112.6 107.7 105.9 194.1 103.2 102.4 101.7 100.9 100.2 99.5 48* 962 97.4 94.9 94.3 t
17.5 18.8 23.8 30.4 38.9 42.6 44.4 50.4 52.6 54.9 57.3 59.7 62.2 64.8 47.4 70.2 73.0 bt
39.8 27.0 20.3 562.7 48.2 557.5 556.9 556.4 555.8 335.3
585.4 578.8 573.2 568.4 564.3 99.92 *»J3 560.6 559.9 5593 $$8.7 558.1 99.9* 99.9* 99.99 99.»9 •9.9* S54.« b.
616.0 603.2 593.1 99.46 99.63 99.75 99.84 99.90 99.95 99.96 99.96 99.97
99.94 10600 xs
2 98.09 98.76 99.20

171.2 157.1 145.7 136.3 128.3 121.4 115.6 110.6 1069 10*. 5 105.7 105.0 104.3 103.5 102.8 102.1 101.4 1006 100.1 •94 t i
27.6 34.1 42.6 463 52.0 54.1 564 $67 41.0 63.5 6*0 465 71.2 73.* 767 bf
43.9 31.2 24.5 21.6 22.7 564.7 363.2 SS9.1 551.5 557.4 557.3 556.8 556.2 553.6 $55.1 bs 216 3
573.8 568.9 99.90 99.92 561.1 560.4 5598 99.9* 99.97 99.9* 99.9* 49.96 99.99 99.»» 100.00 x . 220
617.7 604.7 594.3 586.4 579.6 99.74 99.83 99.94 99.95 99.96
113.6 lit.* 107.3 1065 105.8 105.1 104.4 103* 103.1 102.4 t
0 97.99 98.70 99.16 99.44 99.61 124.5 118.6 46.2 49» 109.5 108.7 1060 62.3 44.4 67.6 69.5 72.0 74.7 77.3 90.1 bt
31.3 37.7 563.6 55.6 57.7 60.0 $S9.$ 558.9 5563 353.9 555.3 ks
174.7 160.5 149.1 139.7 131.6 565.1 99.91 99.96 *9.»7 99.97 557.7 557.1 554.5 99.99 160.00 xs
574.3 569.3 99J9 561.5 560.8 560.2 99.9* 99.99 99.99
47.9 35.1 28.5 25.5 26.6 99.73 99.83 99.94 99.95 99.»S

619.3 606.1 595.4 587.3 580.3

1 97.90 98.54 99.13 99.42 99.60 99.93

178.1 163.8 152.3 143.0 134.8 127.6 121.7 116.6 114 J 112.5 111.7 110.9 110.2 109.4 1067 1060 107.1 104.4 104.0 1033 t
58.9 61.0 65.2 65.5 47.9 79.3 72.0 75.4 760 •6.7
51.9 39.0 32.3 29.3 30.4 35.0 41.2 49.6 53.2 559.9 559.2 554.1 83.5 kt 230
561.9 561.2 560.5 99.96 99.94 558.4 558.0 557.4 5567 99.94 555.5 ks 240
620.7 607.3 596.5 588.2 581.0 574.9 569.8 565.$ 564.0 99.93 99.94 99.95 99.97 99.98 99.99 199.09 xs
115.0 112.3 »•.•* 106.1
3 97.81 98.58 99.09 99.40 99.60 99.72 99.82 99.89 99.91 115.4 114.6 113.* 69.1 71.4 111.4 1I0.9 109.5 •4.1
62.5 64.6 6.4 73.8 763 110 2 11.4 556.3
181.4 167.0 155.4 146.0 137.8 130.7 124.7 119.6 117.8 561.5 5*0.2 554.5 358.2 78.8 554.9 99.99 106.1 t
562.2 99.94 560.8 99.96 99.94 558.9 99.98 557.4 99.99 84.8 kf
55.8 42.7 36.0 32.9 33.9 38.5 44.8 $3.3 5*.* 99.93 99.95 *9.«7 99.96 553.7 ks
190.00 xs
622.1 608.4 597.5 589.0 581.7 575.5 570.3 S6$.9 5*4.3

5 97.74 98.52 99.06 99.38 99.59 99.71 99.82 99.88 99.91

184.5 170.1 158.4 149.0 140.8 133.6 127.6 122.$ 120.7 111.2 117.4 1164 115.8 115.1 114.4 113.6 112.4 112.2 111.5 110.8 t
37.5 42.0 48.2 S6.S 65.8 68.0 7U2 72.4 74.7 79.6 82.1 •47 87.4
59.5 46.4 39.6 36.5 60.2 77.1 99.1 kt
590.1 582.4 576.3 570.9 566.3 562.5 561.8 541.1 5*0.4 559.7 559.1 558.4 557.7 5$7.1 $$6.5 555.9 ks
623.4 609.4 598.4 99.58 99.70 99.81 99.81 3»64*..7*e 99.93 99.94 99.95 •9.95 99.94 *».•? 99.98 >».9* 100.00 xs
99.37 99.99 ••.••
9 97.67 98.45 99.02

187.6 173.2 161.4 151.5 143.7 136.6 130.6 125.4 123.5 120.9 1200 119.2 118.4 117.7 116.9 1162 115.5 114* 114.1 111.4 t
45.5 51.7 59.9 43.5 69.0 71.1 73.3 75.5 77.8 90.2 82.4 •5 2 •76 964 93.2 kt
63.4 50.2 43.0 39.8 40.9 576.8 5*5.2 542.* 5542 558.5 557.2 5566 556.8 k.
99.69 571.5 566.9 99.90 99.93 562.6 541.3 560.6 554.9 •9.97 99.96 $$7J 99.99 *•.•• 196.90 Ks
624.6 610.4 599.3 590.4 583.0 99.81 99.88 99.94 99.94 99.95 99.9* 99.9*
139.5 1263 123.4 1195 118.7 117.5 116.6 116.0 t
3 97.61 98.40 98.99 99.35 99.56 48.9 133.4 126.2 66.8 72.2 122.7 121.9 121.1 120.3 83.3 85.7 1160 90.1 •3.5 9 * 2 kt
577.5 55.1 63.2 565.5 74.3 764 78.6 81.0 3S9.3 558.4 M.2 557.3 5566 $5*9 ks
190.6 176.1 164.2 154.7 146.5 99.68 567.5 99Jkw m* 543.0 5622 561.5 560.7 5*0.0 99.97 •9.97 $57.9 99.9* 99.99 109.06 xs
572.0 99.87 99.93 99.94 99.94 99.9S 99.94 •9.91
67.0 53.6 46.4 43.2 44.3 142.4 99.80 1293 121.9 121.1 119.7 1191 1164 I 278
52.2 130.9 49.9 1266 125.0 124.2 123.4 122.4 •4.2 88.6 120.4 93.7 964 99.2 kt
625.9 611.5 600.2 591.2 583.7 578.4 136.2 66.5 565.6 7$.l 77.2 ?».3 81.5 83.8 5594 358.7 91.1 337.4 5567 5 5 6 1 k«
99.67 58.3 567.4 5624 541.* 546.* 546.1 99 97 99.97 $$8.0 99.*» 99,9» 106.00 x*
7 97.5* 98.55 98.95 99.33 99.55 572.5 99.87 **.*» •*;»3 •9.93 **.H •9,95 9».96 99.96
144.9 99.79 1*4.3 123.5 122.1 121$ 136.9 t
193.4 178.9 167.0 157.3 149.1 55.3 133.5 131.4 139.4 127.3 1267 125,* 125.0 89.0 91.5 132* 102.1 k t
138.9 «9.5 73.* 71.9 80.1 84.4 84.7 559.5 558.1 94.9 357.4 »*,$
70.4 66.8 49.8 46.4 47.3 578.9 61.4 5*8.0 S61.7 541.0 5*0.2 •9.97 *».»7 $$61 tPPs-PP mmt
99.66 99-Mm **.!* 343.4 363.5 99.94 99.95 49.94 134 1 556.7
627.2 612.5 601.1 593.0 585.4 573.1 9*2*2 99.93 125.9 131.3 •*.*• 123.2 I
148.0 99.79 135.* 133.4 136.3 127.4 136.6 •1.6 •4,6 iff:* **.*• 1661 hi
2 97.51 98.30 98.92 99.31 99.54 58.5 72.7 136,1 139.1 17.3 *».4 5568 134.4 536.1 ks
141.6 TCI •1.6 13.6 n11a1, 561.1 '•iPsP** •*.»7 96,4 •9.9* 133.4 196.99 „
196.2 181.4 169.8 160.0 151.8 579.4 64.6 568.5 99.95 •9.94 $561 161.4
99.65 573.6 99.13 5665 **.w •9.93 #».** 556.7 198
73.7 59.9 52.9 49.5 50.4 99.7* Ww.Wm *».*•
75 85 91 95
628.4 613.6 602.0 593.3 585.1 80 97

7 97.47 98.25 98.88 99.29 99.53

198.9 184.1 172.4 162.5 154.4

77.1 63.1 56.1 52.6 53.4

6 629.6 614.5 602.9 593.6 585.8

02 97.43 98.20 98.84 99.27 99.52

50 55 60 65 70 87

loss tbo actual molal volume of the solution) il a func- Find: Enthalpy of liquid, —5.5 Btu. per lb.
tion of two constant* and the molal concentration of the This state is equivalent to 28 per cent liquid
components. From ail known data on liquid volumes, boiling at 110.5* F. This is sub-cooled liquid
these constants were calculated. The resulting values and the fact that a saturation pressure of
were plotted as a function of temperature and fitted with 25 lb. per sq. in. ia given has no significance.
a second degree equation. The resulting equation in con-
junction with Fischer's relation made it then possible Given: Saturation pressure 150 lb. per sq. in.
to calculate from the specific volumes of the components, Find: Vapor concentration absolute
the specific volume of the aqua at any temperature and
concentration. 0.9975

The values (Tables 1 and 2) are listed for the saturated Saturation temperature 105.6* F.
state. However, the properties of sub-cooled liquid may
be found with reasonable accuracy by neglecting the ef- Liquid concentration 0.70
fect of pressure on the state of sub-cooled liquid.
Enthalpy of liquid —3.5 Btu. per lb.
Accepting Wucherer's and Zinner's estimate of the
accuracy of their own work, the accuracy of the data, Enthalpy of vapor 573.3 Btu. per lb.
in English units, appears as follows:
4. Given: Liquid concentration 0.50
x correct to — 0.005 approximately. Enthalpy of liquid 60.6
kf correct to — 0.7 Btu. per lb. Pressure 180 lb. per sq. in.
h. correct to ± 1 Btu. per lb., except at pressure ex-
Find: Temperatu re. absolute.
tremes of the tables.
These conditions are presented in the case
The values of this table were interpolated so as to re- of strong liquor leaving the heat exchanger.
produce the original values well within the accuracy It is a matter of direct tabular values if
stated. The precision of the tables has been carried to a liquid is sub-cooled or saturated. However,
greater degree than the original data justify, especially under some conditions its enthalpy, by heat
in the case of x. and h.. This was done to provide sys- balance calculation, may exceed the saturation
tematic accuracy of the tables for use in interpolation value, i.e., the liquid may be partially vapor-
and for the many calculations that involve quantity dif- ized. Under such conditions a "cut and
ferences. It is thought that linear interpolation between try" solution is required.
values in the tables will yield reasonable precision.
Let h = total enthalpy of the mixture,
The values for specific volume of the liquid as calculated h. ss enthalpy of the vapor phase,
from the general equation were found to check the ma- ht = enthalpy of the liquid phase,
jority of reported values well within 0.0001 cu. ft. per x. = concentration of the vapor phase,
lb. within the range of measurements. For temperatures xt = concentration of the liquid phase,
beyond 140° F. and concentrations above 50 per cent the x —; concentration of the mixture,
values given are extrapolations unsupported by measure- m = portion of the mixture vaporized.
ment. However, the close correspondence of the general
equation to measurements by several investigators in Ammonia balance: mx. -f- (1 — m ) « # _ : *
known ranges justifies the extrapolation.
Heat balance mh\ -f- (J — m) hf — h
If the enthalpy of superheated aqua vapor is desired,
it may be calculated in the same general manner as out- x — xt h — hf
lined for saturated aqua vapor by assuming the vapor is
merely a mixture of superheated components. However, Whence is desired = aa m
superheated aqua vapor, i.e., superheated in regard to
mixture equilibrium conditions, is not commonly met in x, — Xt h. — ht
the absorption cycle except in the evaporator. Here the
condition of the vapor is so nearly anhydrous, that the To solve the problem given above, select a point, at the
enthalpy of the vapor may be taken directly from the am- same pressure as given but with lower liquid concentra-
monia tables and then reduced to a 32° F. datum. tion, which will satisfy the above equation.

Some examples are given in selecting values from the Under the conditions given in this example, the equa-
tables. For the most part exact tabular values are taken tion is satisfied by the following values.
to avoid the confusion of interpolation. It is suggested
in using these tables that if one has much work in a Given: h s s 60.6 Btu. per lb.
given range, the construction of a graphical working plot * = 0.50
of the requisite data will greatly reduce the labor of p s s 180 lb. per sq. in.
arithmetical interpolation.
A final trial of
Given: Saturation pressure 150 lb. per sq. in. ab-
Find: xt = 0.48
solute and t =166.6*F.
Given: p ss 180 lb. per sq. in.
Saturation temperature 225.5* F. A, = 37.3 Btu. per lb.
h, = 619.1 Btu. per lb.
x, — 0.9797
m — 0.04

gives a successful solution.

LI.inquid concentration 0.28 The conditions given are thus satisfied at 180 lb. per
Enthalpy of liquid sq. in. and 166.6° F. with 4.0 per cent of the mixture in
Enthalpy of vapor 120.2 Btu. per lb. the vapor phase.
Vapor concentration 699.4 Btu. per lb.
0.8980 Weight frac-
5. Given: Temperature 220
tion of ammonia Find: Liquid concentration 0.30

The above liquid is cooled to 110.5* F. under The specific volume of
150 lb. per sq. in. pressure and liquid concen- the liquid.
tration remains 0.28.

TABLE 2. SPECIFIC VOLUME OF AQUA AMMONIA—Cu. Ft. Per Lb.
in Saturated or Sub-Cooled State

Temp. W tight concentration of ammonia

' F. 0.00 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

20 .0160 .0166 .0172 .0177 .0182 .0188 .0196 .0206 .0218 .0232 .0247
40 .0160 .0167 .0172 .0178 .0183 .0190 .0199 .0209 .0222 .0236 .0253
60 .0160 .0167 .0173 .0179 .0185 .0192 .0201 .0213 .0226 .0242 .0260
80 .0161 .0168 .0174 .0180 .0186 .0195 .0204 .0216 .0231 .0248 .0267
100 .0161 .0169 .0175 .0182 .0189 .0197 .0208 .0221 .0236 .0254 .0275
120 .0162 .0170 .0176 .0184 .0191 .0200 .0212 .0226 .0242 .0262 .0284
140 .0163 .0171 .0178 .0186 .019* .0204 .0216 .0231 .0250 .0270 .02*4
160 .0164 .0172 .0180 .0188 .0197 .0208 .0222 .0238 .0258 .0280 .0304
180 .0165 .0174 .0182 .0191 .0201 .0213 .0228 .0246 .0268 .0292 .0320
200 .0166 .0176 .0185 .0195 .0206 .0220 .0237 .0257 .0281 .0307 .0338
220 .0168 .0178 .0189 .0200 .0213 .0229 .0248 .0272 .0298 .0328 .0361
240 .0169 .0182 .0194 .0209 .0224 .0244 .0267 .0293 .0324 .0356 .03*5
260 .0171 .0189 .0207 .0227 .0249 .0275 .0305 .0339 .0377 .0418 .046S

From Table 2 read 0.0200 cu. ft. per lb. Density of mixture per
cu. ft. 0.326 -f
6. Given: The conditions in Ex- 0.362 lb. per cu. ft
ample 1 0.036= 2.76 cu. ft. per lb.
Specific volume is thus
Find: The specific volume of the vapor.
1/0.362

Pressure 150 lb. per sq. in. The authors wish to acknowledge the work of N. J.
Temperature 225.5° F. Palladino, R. J. Prowell and S. B. Nissley, who largely
Vapor concentration 0.8980 carried out the detailed work of the computations and
checking of the tabular values. The authors realize that
(weight) in an undertaking of this size, mistakes, both typo-
graphical and arithmetic, exist, but hope that careful and
Molal vapor concentra- repeated checking has kept these to a minimum.
tion 0.8980+0.0051
(cf. Fig. 2) 0.9031 Bibliography

Ammonia partial pres- (1) A. A. Berestneff, Refrigerating Data Book, 2nd Ed. p. 18.
sure 0.9031 X 150 135.5 lb. per sq. in. (2) A. B. Stickney, RENIIGEBATINO ENGINEERING, Oct., 193S, mppl.
(3) T. A. Wilson, University of Illinois Bulletin No. 146.
Water partial pressure (4) J. L. Clifford and K. Hunter, Journal of Physical Chemistry,

0.0969 X 150 14.5 lb. per sq. in. Vol. 37. 1933.
Specific volume am- (5) J. Wucherer, Ztit. f.d.g. Kiltt Industrie, Vol. 39, June, July,

monia at 135.5 lb. 1932.
per sq. in. at 225.5° (6) K. Zinner. Zeis f.d.g. Kilte Industrie, Vol. 41, Feb., 1934.
F. from B. of S. (7) E. Baud ft L. Gay, Annales de Chemic et Phys., Vol. 17, p. 39*,
Ammonia Tables 3.06 cu. ft per lb.
1929.
or 0.326 lb. per cu. ft. (8) H. Mollier, Mitt. Forschunj sarbeiten. Vol. 63/64. 1909.
(9) V. Fisher Forschung a.d. Gtbeit d. tng.. Vol. 6, March, 1935.
Specific volume steam 27.81 cu. ft. per lb. (10) Lewis ft Randall, "Thermodynamics", 1st ed., p. 225.
14.5 lb. per sq. in. 0.036 lb. per cu. ft. (11) International Critical Tables, Vol. I l l , p. 59.
at 225.5° F. from (12) A. Mittasch et al., Ztit. anora. alio. Chem., Vol. 159, p. 1, 1926.
Steam Tables (13) King, Hall ft Ware, Jour, of Am. Chem. Soc, Vol. 52, p. 5132,
or
1930.
(14) International Critical Tables, Vol. IV, p. 261.
(15) Steam Tables. J. H. Keenan. Am. Soc. Mech. Efifrrs.. 1930.
(16) Tables of the Thermodynamic Properties of Ammonia, U. S

Bureau of Standards Circular No. 142, 1923.

m

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•128. Maxima and Minima of F i n i t e Sums. 10 cents.

•129. Lacunar}- Formulas for the Numbers cf Bernoulli and Euler. 10 cents.
•130. Smallpox immunity in 5,000 College Studenta
•181 Studies of Overvoltage. 15 cents.
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•135. Arc Welding lu Argon Gas. 10 cents.
•136. Abstracts and Bibliography of t h e Published Work of the Members of t h e

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•137. Confederate Migrations to Mexico. 10 centa
•138. Liquid drops on Liquid Surfaces. 10 cents.
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