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 \ * 1 fe: . . . . .

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Reprinted from Refrigerating Engineering

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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 complete and accessible tabulations, in the English lan

guage and in customary engineering units, of the properties of aqua-ammonia solutions. The richest sources of basic data in this field are found in German literature, although some experimental work has also been done in the United States, England and France. The problem faced by the authors was one of first critically evaluating the various sources of data, then of correlating and preparing the best of these data for interpolation (and extrapolation), and finally of preparing the tables. No basic experimental work was done by the authors. The previously published work of A. A. Berestneft* (1) and A. B. Stickney (2) in this country, who prepared charts and tabulations, should be mentioned, as they were the first to make use of the recent German data in this field.

The form selected for the tables gives as arguments; pressure in pounds per square inch absolute as ordinate and weight concentration of the ammonia in the liquid as abscissa. For each value of pressure and of weight concentration, there are tabulated:

t temperature in *F., at which a solution of the concentration given is saturated, i.e., boils under the pressure in question.

lit enthalpy (total-heat) Btu. per lb., of the saturated liquid aqua.

It. enthalpy (total-heat) Btu. per lb., of saturated vapor in equilibrium with above mentioned liquid.

x. weight percentage ammonia concentration of saturated vapor in equilibrium with the above mentioned liquid. Thus, if the liquid were heated, vapor of this concentration (x.) would start to rise from it and each lb. of vapor generated would have an enthalpy of magnitude h..

The enthalpy (total-heat) function, of such wide utility with simple fluids, can also be applied for fluid mixtures as in this case of ammonia and water. Thermodynamically, enthalpy is what is known as a point function, i.e., the magnitude of the value for a given condition is independent of the path by which the fluid is brought to that condition. In the case of liquid, ammonia-water mixtures, the heat of solution has been considered in computing the enthalpy values. In the case of the vapor mixtures the heat of mixing is considered zero. This is very closely true with vapors free from liquid. The datum for enthalpy computations was taken as 32" F. Thus enthalpy readings for anhydrous ammonia from the Bureau of

* Presented at the JJrd Annual Meeting- of The American Society of Refrigerating Engineer*. New York. N. V.. Jan. 2e>. 193S. Copyright privileges held by RirticrisTiNG KNCINBIIINC.

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 Fellow at Lehigh University.

Copyright. 193$, The American Society of Refrigerating Engineers.

Standards Ammonia Tables (16) , which use a datum of —40" F., must have 77.9 subtracted from them to permit, their use with these aqua tables. However, as the aqua tables are rather complete in themselves the use of the Bureau of Standard Tables in absorption refrigeration should seldom be necessary. In deciding the question of a datum point temperature, both steam-water with its 32" F. datum and ammonia with the customary —40° F. datum were considered for setting the temperature, as was also the possibility of using a —40* F. datum for the ammonia phase and a separate 32" F. datum for the water-steam phase. The single 32° F. datum appeared preferable and was adopted. Thus the enthalpy of pure water at 32° F. and of anhydrous ammonia at 32° F. are each taken as essentially zero for these tables.

Enthalpy values for sub-cooled liquid can also be read from these tables. Sub-cooled liquid is liquid at a temperature lower than that at which it is saturated under its super-imposed pressure. Thus liquid at 181.4* F. with a concentration of 32 per cent has an h, of 63.8 Btu. per lb. at its saturation pressure of 100 lb. per sq. in. or in sub-cooled state at any higher pressure such as 150 lb. per sq. in. Sub-cooled liquid frequently occurs in practice. This constancy of values for sub-cooled liquids disregards the slight magnitude of the so-called feed-pump work.

A separate table (Table 2) for specific volume values of saturated or sub-cooled aqua is also presented. A chart showing the freezing point temperatures of ammonia-water solutions appears as Fig. 1. For convenience in changing from molal to weight concentration, or vice versa, Fig. 2 has been prepared. The molecular weight of N'H. being 17 and of H.0 18, the data of Fig. 2 give for example at .36 molal, .36 — .0131 — .3469 wt. and at .32 wt., .32 -f .0126 = .3326 molal.

The P, T, X relations of the ammonia-water system, under conditions prevalent in the absorption cycle, have been studied to some extent by several investigators (3) (4) . However, the recent work of WUcherer (5) offers the most extensive and precise set of data on these relations. The investigations of Zinner (6) , corroborated by those of Baud and Gay (7) , provide quite complete data for computing the enthalpy of the liquid phase. Hitherto this function had been derived entirely from the very limited data of H. Mollier (8) . Because of the comprehensive range and the thermodynamic consistency of the data by WUcherer and Zinner (9) , these sources were used exclusively in these tabulations for the P, T, X relations of the liquid and vapor phases and for the enthalpies of the liquid phase. The enthalpy of the vapor phase was calculated on the accepted assumptions that the vapor phase follows Dalton's law of partial pressures, and that there is no heat of gaseou? solution (10). The properties of the pure components were taken from the Bureau of Standards Ammonia Tables (16) and Keenan's Steam Tables (15) .

Reprinted from the May, 1938, itsue of Refrigerating Engineering

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temperature for a given liquid concentration, the equilibrium vapor concentration was calculated. The final constant pressure lines in English units were then readily obtained by standard multiple difference interpolation formulae.

The liquid phase enthalpies were derived from the data of Zinner (6) by exactly the same method used for the P, T, X relations, namely, successive interpolation with multiple difference formulae.

The enthalpy of the vapor phase was calculated in the following manner. The partial pressure of each component is considered proportional to the molal concentration of that component in the vapor. The enthalpy, using the weight concentrations, of these components, is then found from the appropriate anhydrous ammonia or steam tables as superheated vapor existing at the calculated partial pressures and equilibrium temperatures. The enthalpy of the aqua ammonia vapor

is then considered the sum of that of the two components. These calculations were made for all key isobars and subdivided into final pressure intervals by interpolation.

To calculate values of specific volume of the liquid

WEIGHT «* NH..

FIG. 1. AQUA AMMONIA FREEZING POINT CURVE.

The values for the specific volume of the liquid phase were derived from several sources (7) (11) (12) (13) by a method to be described later. The freezing point data for aqua ammonia were taken from the Critical Tables (14).

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 concentration by standard multiple difference interpolation formulae. These formulae were carried to the point that further computation had no effect on the second decimal place. The "second differences" of the interpolation methods were usually adequate for this degree of precision. The resulting isobars, expressed in metric atmospheres, were then sub-divided into pressure intervals in lb. per sq. in. absolute by similar interpolation methods. From the resulting data, many arbitrarily selected values were checked against the original data by bivalent interpolation. The vapor concentrations in equilibrium with the liquid phase for the above key isobars had to be calculated by another method, because the rapid curvature of their path is too severe for usual interpolation methods. The method used was to deterriiine the deviation between the vapor concentration, as calculated by Raoult's Law, and the vapor concentration of WUcherer (5). This deviation was then plotted to high precision against temperatures and a smooth curve drawn through the values. From this curve, by reversing the calculation and using the liquid phase

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TABLE I—PROPERTIES OF AQUA-AMMONIA SOLUTIONS AMMONIA CONCENTRATION, WEIGHT PER CENT

10 15 20 22 21 26 28 30 32 ft* 36 38 40 42 44 46 48 50 55 60 65 70 75 80 85 87 91 92 93 95 97 It* t 101.8 lit 69.7 h» 1105.0 x, 0.00

•j

5 r mm

sr

I

6

7

8

9

10

11

12

IS

14

15

16

17

18

19

20

t 126.1 bf 94.0 h . 1115.6 m o.oo t 141.5 hi 109.1 hs 1122.0 x. 0.00

t 153.0 ht 120.8 h» 1126.8 m o.oo t 162.2 ht 1J0.1 h, 1130.6 «f o.oo

t |M h. X .

t IM m Xs

t ht h.

170.1 137.9

1131.7 0.00

176.8 144.7

1136.4 0.00

1*2.9 150.8

1138.9 0.00

188.3 156.2

1141.0 0.00

193.2 161.1

1143.0 0.00

t 197.1 bf 165.7 hs 1144.8 m o.oo t 202.0 hi 169.9 h. 1146.4 m o.oo t 205.9 ht 173.8 h» 1147.9 x. 0.00

209.6 177.6

1149.3 0.00

213.0 181.0 11506

0.00

t 216.3 hi 184.4 hs 1151.8 m ooo t 219.4 h i 187.5 h» 1152.9 x* 0.00

222.4 190.5

1154.0 0.00

225.2 193.3

1155.0 O.OO

228.0 196.0

1156.0 0.00

89.3 49.7

979.5 J0.20

112.7 74.6

989.8 29.70

127.6 89.8

997.5 -'9.15

139.2 101.2

1003.8 28.50

148.7 110.6

1009.3 27.83

156.6 118.6

1014.2 26.94

163.3 124.4

1018.5 26.18

169.3 131.4

1022.6 25.52

174.6 136.7

1026.2 24.93

179.5 141.6

1029.6 24.48

184.1 146.2

1032.6 23.92

188.4 150.5

1035.4 23.44

192.4 154.6

1038.1 23.02

196.8 158.3

1040.4 22.60

199.7 161.8

1043.1 22.27

203.0 165.2

1045.1 22.00

206.1 168.5

1047.1 21.75

209.1 171.3

1049.1 ii.se

212.0 174.5

1050.9 31.30

214.8 177.2

1052.6 21.14

78.0 32.8

876.2 52.20

100.8 56.1

886.3 51.20

115 6 71.4

894.8 50.30

127.1 82.7

902.2 48.93

136.7 92.3

908.9 47.56

144.7 100.3 915.0

46.47

151.4 107.1 920.5

45.50

157.3 113.0 925.6

44.70

162.5 118.3 930.3

43.98

167.3 123.2 934.7

43.37

171.9 127.8 938.6

42.74

176.2 132.1 942.2 42.17

180.3 136.2 945.7

41.65

185.0 140.0 948.7

41.12

187.7 143.6 952.4 40.63

191.0 146.9 954.9

40.19

194.1 150.3 957.6

34.77

197.2 153.3 9*0.2

39.20

200.2 154.4 962.6

38.90

203.0 159.1 9*4.9

38.60

68.0 15.6

793.0 66.70

90 .4 38.8

•02.* 64.8S

105.1 53.5

811.8 63.76

116.6 65.2

819.8 62.35

126.1 74.9

827.2 60.91

134.2 82.9

834.1 60.21

140.8 89.7

840.3 59.57

146.6 95.6

846.1 58.63

151.8 100.8 851.5

57.78

156.5 105.7 856.5

57.17

161.2 110.3 861.0

56.47

165.4 114.6 865.1

55.83

169.1 118.7 869.1

55.23

172.8 122.5 872.6

54.64

176.5 126.1 876.7

54.13

180.2 1 2 9 5 879.8

53.68 183.4 132.9 882.9

53.27

187.6 135.9 885.9 52.80

1 8 9 5 139.0 888.7

52.45

192.4 141.1 891.4

52.1$

58.6 —0.9 727.7

76.30

81.1 22.3

737.2 73.90

95.9 36.4

746.2 72.00

107.2 48.7

754.8 71.23

116.7 58.4

762.3 70.46

124.6 66.4

769.5 69.57

131.3 73.1

776.1 68.88

137.0 79.0

782.3 68.10

142.1 84.2

788.0 67.42

146.8 89.0

793.3 66.88

151.4 93.6

798.0 66.32

155.9 97.9

802.5 65.81

159.6 102.0 806.7

65.36

163.8 105.9 810.5

64.90

1*7.0 109.5 814.7

64.44

170.4 112.8 818.1

63.98

173.6 116.2 821.6

63.55

176.8 119.3 824.8 63.10

1 7 9 * 122.4 827.8

62.70

182.5 I2S.1 830.7

62.29

49 .6 - 1 6 . 6 678.0

83.00

72.6 6.6

687.2 81.50

87.5 21.8

696.0 79.90

98.7 33.0

704.2 78.72

108.1 42.7

712.0 77.54

116.0 50.7

719.3 76.77

122.5 57.3

72*. 0 76.48

128.2 63.2

732.2 75.37

133.2 68.4

738.0 74.72

137.9 73.2

743.3 74.18

142.4 77.8

748.1 73.62

146.6 82.0

752.6 73.14

150.5 86.0

756.9 72.72

154.3 89.9

760.7 72.30

157.9 93.5

764.8 71.87

161.3 96.8

768.5 71.46

164.5 100.3 772.0

71.07

167.6 103.J 775.3 70.70

170.5 106.4 778.4

70.34

173.2 109.1 781.4

69.99

28.9 —52 .7

624.3 91.20

53.7 — 2 8 . 6

631.5 90.50

68.8 — 13.2

638 .3 89.80

79.9 — 1.9 644.7

89.05

89.0 7.5

650.8 88. J 3

96.7 15.3

656.6 87.83

102.9 21.7

661.9 87.36

108.5 27.6

666.8 86.80

113.4 32.9

671.3 86.42

118.0 37.5

675.5 85.98

122.2 41JB

679.4 85.56

126.3 45.9

683.0 85.18

130.2 49.8

686.4 84.83

134.0 53.5

689.7 84 .48

137.4 57.1

691.7 84.18

140.* 60.4

695.9 83.91

143.6 63.6

698.8 83.65

146.5 66.6

701.5 83.31

149.2 69.3

704.2 83.13

151.8 72.3

706.9 82.94

12.4 —85.7

586.2 96.00

35.8 — 6 1 . 9

592.5 95 .50

50.6 —46.7

598.5 95.00

61.4 — 3 5 . 6

604.1 94.48

70.4 —26 .3

609.4 93.97

77.9 — 18.6

614.3 93.60

84.1 —12.3

618.8 93.33

89.6 — 6 . 4 622.9

93.05

94.6 — 1 . 3 626.7

92.77

99.1 3.3

630 .2 92.49

103.2 7.5

633.3 92.21

107.1 11.5

636.3 91.99

110.8 15.4

639.1 91.81

114.4 19.0

641.9 91.64

117.7 22.6

643.1 91.45

120.8 25.8

646.8 91.26

123.8 28.9

649 .2 91.07

126.7 31.9

651.3 90 .88

129.4 34.7

653.8 90 .49

132.0 37.4

*56.0 90 .52

6.3 — 9 7 . 8

583.6 96.50

29.1 —74.1

589.1 96.23

43.7 —59 .0

594.5 96.00

54.4 — 4 7 . 9

599.6 95.75

63.4 — 3 8 . 8

604.3 95.50

70.8 —31.1

608.6 95.25

77.0 —24.8

612.6 95.00

82.5 — 1 9 . 0

616.2 94.80

87.5 — 13.9

619.6 94.55

91.9 —9.4 622.3

94.31

96.0 —5.2 625.3

94.07

99.9 — 1.2 627.9

93.85

103.6 2.6

630.4 93.65

107.1 6.2

632.9 93.50

110.4 9.7

635.0 93.32

113.5 12.9

637.1 9 . U 6

116.4 16.0

639.2 92.98

119.3 18.9

641.2 92.82

122.0 21.7

643.3 92.69

124.5 24.4

645.2 92.54

40.2 —109 .5

581.2 98.00

22.8 —86.0

585.9 97.70

37.1 —71.0

590.6 97.40

47.8 —60.0

595.2 97.10

56.7 —51.0

599.6 96.80

64.1 —43.3

603.5 96.50

70.2 —37.1

607.1 96.25

75.7 —31.3

610.3 96.00

80.6 —26.2

613.3 95.82

85.0 —21.9

615.5 95.61

89.1 — 17.6

617.7 95.40

93.0 —13.6

619.9 95.24

96.8 —9.8 622.1

95.10

100.3 —6.2 624.3

94.94

103.6 —2.8 626.6

94.82

106.6 0.4

628.7 94.70

109.5 3.3

630.5 94.57

112.3 6.3

632.3 94.45

114.9 9.0

6 J 4.2 94.31

117.4 11.7

635.9 94.16

— 5 . 8 —120.6

576.5 99 .20

16.8 — 9 7 . 6

580 .6 98 .83

3 0 . * — 8 2 . 8

584.6 98 .46

41.5 — 7 1 . 9

589.1 98 .10

50.3 —63.0

593 .2 97 .72

57.7 — 5 5 . 4

596 .9 97 .50

63.7 — 4 9 . 1

600.2 97.18

69.1 — 4 3 . 4

603.3 96 .96

73.9 — 3 8 . 4

606 .0 96 .80

78 .3 — 3 4 . 0

608.5 9 6 * 1

82 .4 — 2 9 . 8

610.7 96.44

86 .4 — 2 5 . 8

612.8 96.31

90 .2 — 2 2 . 0

614 .8 9 6 1 9

93 .7 — 1 8 . 4

616 .8 96.07

9 7 . 0 — 1 5 . 0

617 .4 95.95

100.0 —11.8

620.1 9 3 . 8 *

102.8 — 9 . 0 621 .7

95 .72

10S.S

623 .4 95.61

10S.2 — 3 . 3 6 2 3 . 0

95 .35

110.6 —0 .6 626.7

95.4*

— 11.2 — 131.4

567.6 99.40

10.8 —109.0

571.0 99.15

24.6 —94.5

574.3 98.90

35.2 —83 .7

578.9 98.65

43.9 —74 .9

583.1 98.40

51.3 —67.3

586.7 98.15

57.4 — 6 1 . 0

590.1 97.92

62.6 —55.4

593.1 97.75

67.4 — 50.4

595.9 97.62

71.7 —46.0

598.4 97.50

75.8 —41 .9

600.6 97.35

79.8 — 3 7 . 8

602.6 97.25

83.6 —34 .0

604.6 97.15

87.1 —30 .4

606.5 97.06

90.4 —27.0

607.5 97.00

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91 92 9T

I MILE I—PROPERTIES OF AQl \-\MMONIA SOLUTIONS— (Continued page 2 )

AMMONIA ( H M i M l t V l l U N . WUCHT PER CENT

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24.1 31 .6

5 4 1 . 1 166,66

94

95

- 65 4 530.5 100.00

—11.5 —63.4

531.2 100.00

—9.7 —61.5

531.9 100.00

— 8 . 0 —59 .7

552.4 100.00

— 5 7 . 9 532.8 100.00

—4.7 —56.1

533.2 100.00

— 3 . 2 —54 .4

$33 .6 ' 100.00

—1.7 —52 .8

534.0 100.00

—0.2 — 5 1 . 2

534.3 100.00

1.2 —49 .6

534.7 100.00

3.9 —46.7

535.7 100.00

6 4 —44 .0

$34.5 100.00

8.9 — 4 1 . 4

337.2 100.00

11.2 —38.8

537.9 100.00

13.6 — 3 6 . 2

538.6 106.00

15.7 —33 .4

539.2 100.00

17.9 —31.3

539.9 100.00

19.9 —29 .3

546.5 100.00

21.8 —27 .4

541.9

23.4 — 2 5 . 3

541.5 100 00

M

9 6

- 62 6 530.2 100.00

— 11.8 —60.6

530.9 100.00

— 10.0 — 5 8 . 7

531.4 100.00

—8.3 —56 .9

S32.1 100.00

— 6 7 — 5 5 . 1

532.5 100.00

—5.1 —53.4

532.9 100.00

—3.5 —51 .4

$33.3 100.00

—2.1 — $ 0 . 0

533.7 100.00

— 0 . 5 — 4 8 . 4

534.1 100.00

0.8 — 4 6 . 9

534.5 100.00

3.5 — 4 4 . 0

335.4 100.00

6.0 — 4 1 . 2

536.2 100.00

8.4 — 3 8 . 6

537.0 100.00

10.8 — 3 6 . 0

537.7 100.00

13.1 — 3 3 . 5

538.4 100.96

15.3 — 3 1 . 3

539.0 100.00

17.5 —26 .8

539.6 100.00

14.4

346.3

21.3 — J 4 . 6

148.7 106,96

13 .3 — 3 3 . 4

541.3

96

•>:

—59.8 529.9 100.(0

—12.1 —37.8

5.10 6 190.00

—10.4 —55.4

531.3 100 00

—8.7 —54.0

531.8 100.00

—7.0 —32.3

532.2 100.00

—5.4 —50.5

532.7 100.00

—3.9 —48.8

533.1 100.00

—2.4 —47 .2

533.5 190.00

—0.8 —45.6

533.9 190.00

0.5 —44.1

534.3 190.00

3.1 —41.2

335.2 100.00

5.* —38.5

5 16 0 100.06

6 9 —33.9

554.7 190.69

10.4 —33.2

537.5 100.00

12.7 —30.7

536.1 190.09

1 4 * — 2 6 4

536.7 100.00

17.0 — 2 6 1

539.4 K M

1 6 * —34.0

$4* (1 100.09

36.9 - 3 1 . 9

S46.S 190.06

22.8 — 1 * 9

541.0 160.06

97

9 8

—56.8 529.6 100.00

—12.4 —54 .9

530.3 100 t>0

— 16.7 —S3.0

530.9 loo.oo

—9.0 —51.2

531.4 100.00

—7.4 —49 .4

$31.9 100.00

— 5 8 —47.7

532.4

too.oo —4.2

S32.t 100.00

—2.« —44.4

533.3 100.00

— 1 . 2 —42 .8

333.7 100.00

0.1 — 4 1 . 3

534.1 100. (Hi

2.S —38 .4

535.0 100.00

5.3 — 3 5 . *

535.8 100 IK)

7.7 — 3 3 . 9

536.5 100.96

10.1 —30 .4

537.2 100.00

12.4 — 2 6 . 0

5 3 7 *

14.5 —25 ,7

336.5 100.00

1 6 6 —23 .3

539.1 100.00

1 6 6 — 2 1 . 2

539.7 100.00

26.3 —19 .1

146.2

22.4 — 1 7 . 1

546.7 100 00

98

99

—53.4 529.3 100.00

—12.7 —52.0

536.0 10000

—11.9 —56.1

5.10 6

MM —9.3

—48.3 531.1 100.00

—7.7

531.5

mm — 6 1

— 4 4 J 512.1 100 00

—4.4 —43.1

532.(5 loo.oo

—3.1 —41.5

533.0 100.00

—1.5 —46.0

533.4 loo.oo

— 6 . 3 —38.5

533.4 100.00

2.4 —35.4

534.7 100.00

5.0 —32.8

535.5 100.00

7.4 —30.2

534.3 100.00

4.7 —27.6

537.0 100.00

12.0 —25.2

537.7 100.00

14.2 —22.8

536.3 100.00

16.3 —20.6

538.9 106.00

1 6 2 — 1 6 4

5.19 5 100.00 2 6 2

— 1 4 3 540.6

3 * 6 — M . J

546.5 100.00

99

1 0 0

5 2 * 4 b» 106.96 xs

—13.0 t —44.0 kf

$29.$ bs 1 6 6 0 6 xs

—11.2 t —47.1 bf

$30.2 b< 106.90 x .

—4.6 t —4S.3 hf

$36.7 h« 100.90 xs

—6.0 t — 4 3 * bt

$51.2 bt 100.00 xs

— 6 4 t —41.9 bt

531.» bs 100.09 x»

—4.9 t —40.2 bf

$32.3 h. 100.09 xs

—3.4 t — 3 * 4 kf

$ 3 2 6 bs 190.90 x .

— 4 . 0 1 —37.1 kt

$ 3 3 2 k« 100.00 xs

—0.4 t —35 .6 kf

$33.7 ks 100.00 x«

2.1 t —32.7 h i

534.5 ks 100.00 X*

4.7 t —29 .4 kt

535.3 k. 100.00 x>

7.1 t —27.3 kt

534.1 ks 196.99 xs

4.4 t —24.7 ht

534.S ks 100.00 x .

11.7 t —22.3 kr

537.5 ks 190.90 x»

13.8 t —20 .6 kf

538.1 ks 100.06 x .

15.9 t —17.7 kf

$ 3 6 7 ks 106.00 xs

17.9 1 —15.5 kf

539.3 ks 160.06 xs

19.8 t —13.4 kt

539.8 ks 100.00 X.

21.7 1 —11.4 kf

546.5 ks 106.00 as

188

21

22

23

24

25

26

27

28

29

SO

-32

34

36

38

40

42

44

46

48

50

TABLE I—PROPERTIES OF A QUA-AM MOM A SOLUTIONS— (Continued page 3) AMMONIA CONCENTRATION, WEIGHT PER CENT

52

54

56

58

60

62

64

65

70

75

SO

85

90

95

100

106

no

U S

120

125

t ht hs x»

1 hf hs Xs

t hi hs XS

t hi hs Xs

t hf hs Xs

1 hf h. Xs

t hf h. Xs

t ht h . X*

t hf h . Xs

t hf hs Xs

t ht hs XS

t ht

t t ht hs Xs

t hi hr Xv

t hi hs Xs

t hi bs XT

t hi hs Xs

t ht hs Xs

t hf h. XS

t bt b* SS

0 283.5 252.5

1174.3 0.00

285.9 255.0

1175.0 0.00

288.2 257.4

.1175.7 0.00

290.5 259.7

1176.4 0.00

292.7 262.0

1177.0 0.00

294.8 264.2

1177.6 0.00

296.9 266.3

1178.2 0.00

298.0 267.4

1178.5 0.00

302.9 272.5

1179.9 0.00

307.6 277.3

U 8 1 . 2 0.00

312.0 218.9

1182.4 0.00

316.2 286.3

1183.6 0.00

320.3 290.4

1184.6 O.OO

324.1 294.5

1185 6 0.00

327.8 298.3

1186.6 0.00

331.4 302.0

1187.5 0.00

3.14.8 365.6

1188.3 0.00

3.18.1 3 i9 .0

1189.1 0.00

341.3 312.4

1189.8 0.00

344.3 315.6

1190.5 0.00

0

2 270.9 234.0

1(86.6 17.97

273.3 236.5

1088.1 17.85

275.6 238.9

1089.4 17.75

277.9 241.2

1090.7 17.64

280.2 243.5

1091.9 t7.52

282.3 245.9

1092.9 17.41

284.4 247.9

1094.0 17.29

285.4 248.9

1094.6 17.24

290.4 254.0

1097.5 16.96

295.1 258.9

1100.2 16.68

299.7 263.3

It 03.4 16.39

304.0 267.9

1105.9 16.12

308.0 272.2

1108.3 15.86

312.0 276.4

1110.6 15.61

315.7 280.2

1112.9 15.38

319..1 284.0

1114.9 15.16

322.8 287.6

1117.0 14.93

326.3 291.0

1119.0 14.71

329.6 294.4

1121.0 14.50

332.8 297.6

1122.5 14.29

2

4 259.3 216.2

1010.5 32.41

261.7 218.7

1012.5 32.19

264.0 221.1

1014.3 31.99

266.2 223.5

1016.1 31.80

268.5 225.6

1017.7 31.62

270.7 227.8

1019.1 31.44

272.8 2.10.0

1020.5 31.26

273.8 231.1

1021.2 31.17

278.7 236.2

1025.3 30.72

283.7 241.0

1029.0 30.30

288.2 245.8

1033.7 29.88

292.6 250.2

1037.3 29.49

296.6 254.5

1040.7 29.10

300.6 258.6

1044.0 28.73

304.3 262.6

1047.2 28.36

308.0 266.4

1050.0 27.01

311.6 270.1

1053.0 27.66

315.1 273.5

1056.0 27.32

318.5 276.8

1058.9 26.99

321.7 280.1

1061.1 26.67

4

6 248.5 198.9 944.6

45.16

251.0 20! .S 947.3

44.84

253.3 203.8 949.4

44.53

255.5 206.2 951 6

44.24

257.7 208.4 95.1.5

43.98

259.9 210.6 955.1

43.69

261.9 212.7 956.8

43.43

263.0 213 2 957.7

43.29

268.0 219.0 962.6

42.64

272.9 223.8 967.0 41.92

277.5 228.6 972.7

41.23

281.8 233.0

976.9 40.55

286.0 237.3 981.1

39.97

289.9 241 4 985.1 39.42

293.7 245.5 989.0

38.88

297.4 249.4 992.3

38.42

301.0 253.0 996.0

37.96

304.5 256.5 999.6

37.56

307.7 259.8

1003.1 37.16

311.1 263.0

1005.8 34.74

6

8 238.4 182.2 888.9

54 99

240.8 184.7 891.6

54.66

243.1 187.2 893.9

54.34

245.3 189.4 896.3

54.04

247.5 191.7 898.5

53.75

249.7 193.9 900.2

53.43

251.7 196.0 902.2

53.14

252.8 198.0 903.1

53.00

257.9 202.3 908.4

52.34

262.6 207.1 914.4

51.74

267.2 211.9 919.6

51.16

271.6 216.4

924.3 50.59

275.8 220.7 928.9

50.01

279.7 224.8 933.3 49.46

283.6 228.8 937.6

4 8.92

287.4 232.2 941.4

48.36

290.9 236.4 945.4

47.81

294.3 239.9 949.3

47.21

297.6 243.2 953.3

46.71

300.8 246.5 956.2

46.21

8

10 228.6 166.1 841.7

63.17

231.0 168.6 844.4

62.85

233.3 171.0 846.9

62.54

235.6 173.3 849.3

62.24

237.7 175.5 851.6

61.98

2.59.9 177.7 853.5

61.69

241.9 179.8 855.5

61.42

243.0 180.9 856.5

61.29

248.0 186.1 862.1

60.64

252.8 191.0 867.3

59.99

257.9 195.8 873.7

59.34

261.7 200.2

878.6 58.73

265.9 204.6 883.5

58.12

269.8 208.7 888.1 57.54

273.7 212.7 892.6

56.97

277.4 216.6 896.5

56.43

280.9 220 .2 900.7

55.89

284.2 223.8 9<V4.8

55 J9

287.5 227.1 908.9

54.91

290.7 230.4 912.0

54.47

10

IS 205.7 128.3 760.0

77.54

208.1 1.10.7 762.3

77.27

210.5 133,1 7 6*. 6

77.01

212.7 135.3 766.8

76.77

214.8 137.5 768.9

76.54

216.9 1.19.7 770.9

76.30

219.0 141.8 772.9

76.07

220.0 142.9 773.9

75.96

224.8 148.0 778.9

75.42

229.6 153.1 783.9

74.88

234.2 157.9 789.0

74.35

238.5 162.3

793.4 73.83

242.6 166.5 797.8

73.33

246.4 170.5 802.0 72.84

250.1 174.3 806.2

72.36

253.6 178.2 809.7

71.89

257.0 181.7 813.2

71.44

260.3 185.4 816.7

71.00

263.5 188.8 820.1

70.58

266.6 192.2 823.1

70.16

15

20 184.9

92.9 701.9

86.40

187.2 95 .2

703.9 86.19

189.4 97.6

705.9 85.99

191.6 99.8

707.9 85.80

193.7 102.0 709.8

85.63

195.8 104.2 711.6 85.45

197.8 106.4 713.4

85 .28

198.8 107.4 714.3

85.20

203.7 112.6 718.7

84.78

208.4 117.6 723.0

84.36

212.8 122.3 727.2

83.94

216.9 126.7

731.1 83.53

220.7 130.9 735.0

83.12

224.4 134.9 738.6 82.74

228.0 138.6 742.2

82.37

231.5 142.5 745.3

82.04

234.9 146.0 748.4

81.73

238 .2 149.7 751.4

81.43

241.5 153.1 754.4

81.11

244.6 156.6 757.1

80 .80

20

22 177.1

79.5 686.6

88.94

179.4 81.9

688.4 88.78

181.6 84.2

690.2 88.63

183.9 86.5

692.0 88.47

185.8 88.7

693.7 88.33

187.9 90.9

695.5 88.18

189.9 93.0

697.2 88.01

190.9 94.1

698.0 87.90

195.8 99.2

701.9 87.55

200.4 104.3 705.9

87.20

204.7 108.9 709.5

86.87

208.8 113.3

713.1 86.53

212.6 117.4 716.6

86.20

216.3 121.4 719.9 85.87

220.0 125.1 723.1

85.56

223.3 128.9 725.9

85.19

226.6 132.5 728.7

84.85

230.0 136.2 731.4

84.52

233 .2 139.6 734.0

84.21

236.3 143.0 736.5

83.90

22

24 169.6

66 . 6 673 .2

91.14

171.9 68.9

674.8 90.98

174.1 71.2

676.5 90.83

176.4 73.5

678.2 90.69

178.3 75.7

679.7 90.55

180.4 77 .9

681.4 90.41

182.3 80 .0

682.9 90.27

183.3 81.1

683.7 90.22

188.0 86 .2

687.3 89.88

192.6 91 .2

690.8 89.55

196.9 95.8

693.9 89 .22

201.1 100.2

697 .2 88.90

204.9 104.3 700.4

88.58

208.5 108.3 703.3 88.27

212 .2 112.0 706.2

87.97

215.5 115.8 708.9

87.68

218.8 119.4 711.4

87.39

222.0 123.1 713.8

87 .10

225.1 126.5 716.1

86 .12

221.1 129.9 718.5

86 .56

24

26 162.4

54.0 660.9

92.86

164.7 56.3

662.4 92.73

166.9 58.6

663.9 92.60

169.0 61.0

663.4 92.48

171.1 63.2

666.9 92.37

173.0 68.4

668.4 92.25

175.0 67.5

669.8 92.08

175.8 68.5

670.5 92.13

180.4 73.6

673.8 91.79

184.9 78.6

677.1 91.43

189.3 83.1

679.9 91.19

193.5 87.5

682.9 90.89

197.4 91.6

685.8 90.60

201.0 95.6

688.5 90.35

204.5 99.4

691.1 90.09

207.9 103-2 693.6

89.85

211.1 106.7 696.0

89.60

214.2 110.4 698.2

89.33

217.2 113.8 700.4

89 .04

220.0 117.2 702.6

88.82

26

28 135.1

41.7 648 .6

94.27

157.3 44.1

650.1 94 .16

159.5 46.4

651.5 94.05

162.0 48.7

653.0 93.95

163.7 50.9

654.3 93 .86

165.6 53.1

655.7 93 .76

167.6 55.2

657.0 93 .66

168.4 56.3

657.7 93.61

173.0 61.4

660.8 93.35

177.4 66 .2

663.9 93 .08

181.7 70.8

666.6 92.81

185.7 75.1

669.4 92.55

189.6 79.2

672.2 92 .27

193.2 83.3

674.7 92 .06

196.7 87.1

677.2 91 .89

200.1 90.9

679.7 91.60

203.3 94.5

682.0 91.35

206.4 98.1

684.2 91.15

2C9.3 101.5 686.3

90.94

212.1 104.8 683.4

90 .75

28

SO 147.7

29.7 635.5

95.42

150.0 32.2

637.0 95.33

152.0 34.4

638.4 95.24

154.2 36.9

639.8 95.15

156.2 39.1

641.1 95.07

158.1 41.3

642.4 94 .98

160.0 43.3

643.7 94.89

161.0 44.4

644.3 94.85

165.6 49.5

647.4 94.65

169.9 54.2

650.3 94.42

174.0 58.7

653.3 94.20

177.8 63.0

656.2 93.97

181.6 67.2

659.0 93.75

185.2 71.3

661.5 93.54

188.7 75.2

663.9 93.23

192.0 79.0

666.5 _ 93.03

195.3 82.6

668.9 92.85

198.4 86.2

671.2 92.63

201.4 89.6

673.4 92.44

204.2 92 .8

675.6 92.35

SO

32 140.8

18.4 627.3

96.34

143.0 20.9

628.7 96.26

145.0 23.2

630.0 96.18

147.1 25 .6

631.3 96 .10

149.1 27.8

632.5 95.98

151.1 30.0

633.7 95.93

152.9 32.0

635.9 95.85

153.9 33.1

635.5 95.80

158.4 38.1

638.3 95.62

162.7 42.8

641.1 95.44

166.7 47.3

643.9 95.26

170.6 51.6

646.6 95.08

174.3 55.8

649.2 94.90

177.9 59.8

651.3 94.71

181.4 63.8

653.8 94.53

184.6 67 .2

656 .2 94.35

187.9 71.2

658.5 94.17

190.9 74.7

660.7 94.00

193.9 78.0

662.8 93.82

1*6.7 81 .3

664.8 93.65

32

34 133.9

7.6 620.0

97.09

M6 1 10.1

621.3 97.02

138.1 12.4

622.5 96.95

140.2 14.7

623.7 96.88

142.1 16.9

624.8 96.81

144.1 19.1

626.0 96.74

145.9 21.1

427.1 96.67

146.9 22.1

627.6 96.64

151.3 27.2

630.3 96.48

155.5 31.8

. 632.8 96.31

159.6 36.3

635.5 96.15

163.4 40 .6

638.0 95.98

167.1 44.7

640.5 95.80

170.6 48.8

642.7 95.64

174.1 52.7

644.8 95.47

177.4 5 6 5

647.1 95.31

180.5 60.1

649.3 9$ .16

183.6 63.6

651.3 95.02

186.5 66.9

653.3 94 .11

189.3 70.2

655.2 94.74

34

» ' 36 127.1 *—2.* 6 1 3 2

91.U

129.2 —6.2 614.5

47 .46

151.2 2.0

6IS.6 97.59

133.3 4.3

6 1 6 7 97.53

135.2 6.5

617.8 97.47

137.1 6 7

618.9 97.41

138.9 10.7

619.9 97.35

139.9 11.7

620.4 97.31

144.2 16.6

622.9 97.17

148.4 21.3

625.4 97.01

152.5 25.8

627.9 96.86

156.3 30.1

630.3 96.71

160.0 34.2

632.6 96.57

163.6 38.2

634.7 96.41

1*6.9 42.1

636.7 96.27

170.2 45.8

638.9 96.13

173.3 49.5

640.9 95.99

176.3 52.9

642.8 95 .8*

179.2 56.2

644.6 95 .72

182.0 59.4

646.5 95.58

36

38 120.2

— 12.5 606.7

91.24

122.4 —10.1

607.8 98.18

124.4 — 7 . 8 609.0

98.13

126.4 —5.6

410.0 98.07

128.3 —3.4 611.0

98.02

130.2 —1.3 612.0

97 .96

132.0 0.7

613.0 97.91

132.9 1.7

613.5 97.88

137.2 6 5

615.9 97.74

140.5 l t . 2

618.3 97.62

145.5 15.8

620.7 97.49

149.3 20.0

623.0 97.36

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25.9 —13 .2

341.7 100.00

27.6 —11 .3

542.2 100.00

2 * 3 —9.4 542.7 100.00

30.9 —7.7 543.1 100.00

32.3 —5.9 543.$ 100.00

34.0 —4.2 343.9 100.00

34.* —3.4 544.1 100.00

3 * 4 0.5

544.9 100.00

41.8 4.3

545.8 100.00

45.1 6.0

546.6 100.00

48.2 11.4

547.3 100.00

31.3 14.7

548.0 100.00

54.1 17.9

548.7 100.00

54.9 21.0

549.3 100.00

59.6 23.9

549.8 106.90

62.0 26.6

550.2 100.00

64.5 29.4

550.7 100.00

4 6 4 32.1

551.2 100.90

69 .2 34.7

SSI.4 1*0,91

98

99 33.8

—13.3 341.9 100.00

23.6 —10.4

$41. $ 100.00

27.3 —6.$ S42.0 100.00

28 9

$ 4 2 4 100.00

30.6 —4.9 $42.8 100.00

32.1 —3.1 343.2 100.00

33 6 — 1.4 343.6 100.00

34.4 —0.6 $43.8 100.00

34.0 3.4

544.7 100.00

41.4 7.2

$4$. 5 100.00

44.7 10.8

$44.3 106.00

47.8 14.3

547.0 100.00

50.8 17.6

547.7 100.00

53.7 20.8

548.3 100.00

56.5 23.9

548.9 100.00

$9.1 26.8

549.4 190.60

61.6 29.6

549.9 100.00

44.1 32.4

$56.4 100,60

64.5 *$.0

$$0.8 100.09

3 7 7 MIL* 100.00

99

188 31.5

$40.8 100.00

25.2 —7.5 541.3 100.00

24.4 — 5 . * 541.S 100.00

2 6 6 —3.7 542.2 100.00

30.2 —2.0 3 4 2 * 100.00

31.1 —0.2 342.0 100.00

33.3 1.5

343.4 100.00

34.1 2.3

543.4 100.00

37.7 6 3

544.5 100.00

41.1 10.1

545.3 100.09

44.4 13.9

$461 100.00

47.$ 17.2

$46.8 100.00

50.5 20.5

547.4 100.00

53.3 23.7

548.0 100.00

5 6 0 2 6 8

548.6 100.00

58.7 29 8

544.1 100.09

61.2 32.6

549.6 100.00

* 3 * 35.4

550.1 100.99

44.0 34.1

550.5 166.90

6 6 4 40.7

856.9 166.96

188

t kt k* m t kt ks Xs

t kt ks Xs

t kt k. Xs

t kf ks Xs

t kf ks Xs

t ht h, Xs

t hf hs Xs

t bt bs Xs

t ki k. Bs

« kt ks Xs

t ki ks Xs

t kt ks Xs

t kf ks Xs

t kf ks Xs

t ht ks a s

t kt ks Xs

t bt bs X*

1 kt ks X*

m ks Xs

a

34

36

58

68

62

64

65

70

75

80

85

99

95

100

185

116

115

128

123

I s i 5

%

TABLE I—PROPERTIES OF AQUA-AMMONIA SOLUTIONS— (Continued page 4) AMMONIA CONCENTRATION, WEIGHT PER CENT

10 15 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 55 60 65 70 75 80 85 87 89 90 91 98 93 9S 97 188

130

135

140

145

150

160

170

180

190

200

210

220

230

240

250

260

270

280

298

300

» 347.3 ht 318.7 hs 1191.2 XT 0.00

350.2 321.8

1191.8 0.00

353.0 324.7

1192.4 0.00

355.1 327.6

1193.0 0.00

358.4 330.4

1193.5 O.OO

t 363.6 ht 335.9 hs 1194.5 xs 0.00

t 368.4 ht 341.0 h . 1195.4 xs 0.00

t 373.0 ht 346.0 hs 1196.3 xs 0.00

t 377.6 hr 350.8 hs 1197.0 xs 0.00

t 381.8 hf 355.3 hs 1197.8 XT O.OO

t 315.9 ht 339.8 hs 1198.4 XT 0.00

t 389.9 hr 364.0 h . 1199.0 XT 0.00

393.7 368.1

1199.6 0.00

397.4 372.1

1200.1 0.00

t 401.0 kt 376.0 hs 12O0.5 XT 0.00

1 404.4 kt 379.8 hs 1201.0 XT 0.00

t 407.8 ht 313.4 hs 1201.4 XT 0.00

411.1 317.0

1201.8 0.00

414.2 3*0.5

1202.1 0.90

417.3 3*3.*

1202.4 O.OO

335.9 301.0

1124.0 14.09

339.0 304.0

1125.5 13.89

341.8 306.9

1126.9 13.69

344.6 309.8

1128.4 13.62

347.2 312.6

1129.7 13.33

352.2 318.0

1132.2 13.01

357.2 323.2

1134.6 12.72

361.6 328.3

1136.7 12.45

366.1 333.2

1138.8 12.21

370.4 337.9

1140.7 11.98

374.5 342.4

1142.3 11.76

378.6 346.7

1143.9 11.52

382.5 350.9

1145.4 11.29

386.4 355.0

1146.8 11.06

390.1 359.0

1148.1 10.84

393.6 362.9

1149.4 10.62

397.0 366.6

1150.5 10.40

4 0 0 4 370.3

1131.5 10.18

403.6 373.8

1152.5 9.96

4 9 6 8 377.4

1153.5 9.75

324.9 283.7

1063.2 26.35

528.0 286.6

1065.3 26.04

330.8 289.5

1067.4 25.74

333.5 292.4

1069.5 25.4$

336.2 29$. 2

1071.6 25 .16

341.2 299.7

1075.2 24.61

346.2 305.9

1078.6 24 .09

350.7 311.0

1081.8 23.61

355.1 316.0

1084.9 23.17

359.4 320.8

1078.8 22.77

363.6 325.3

1090.2 22 .39

367.7 329.7

1092.5 22.02

371.7 333.9

1094.8 21 .66

375.6 338.1

1097.0 21.30

379.3 342.2

1098.8 20.96

382.9 346.1

1100.9 20.62

386.4 350.0

1102.6 20 .29

389.8 353 .6

H 0 4 . 3 19.97

393.0 357.2

1105.8 19.65

396.3 360.8

1107.3 19.33

314.2 266.8

1008.4 36.31

317.3 269.7

1011.0 33.92

320.1 272.6

1013.6 35.5*

322.9 275.5

1016.2 35.23

325.6 278.2

1018.7 34.95

330.7 283.6

1023.2 34.41

335.7 289.0

1027.4 33.90

340.3 294.1

1031.4 33.41

344.7 299.2

1035.3 32.93

349.0 304.2

1038.7 32.46

353.1 308.5

1041.8 32.01

357.1 313.0

1044.8 31.58

361.0 317.2

1047.6 31.17

364.9 321.4

1050.5 30.78

368.6 325.6

1052.8 30.41

372.2 329.5

1055.4 30.05

375.8 332.9

1057.6 29.71

379.2 337.1

1059.8 29.39

382.5 340.7

1061.8 29.09

385.8 344.3

10*38 21.11

303.8 250.2 959.1

45.71

306.8 253.2 962.1

45.32

309.7 256.1 965 1

44.92

312.5 259.0 968.0

44.56

315.2 261.8 970.7

44.21

320.4 266.9 975.9

4 3 . 5 *

325.4 272.5 980.7

42.96

330.1 277.6 985.2

42.41

334.5 282.8 989.6

41.91

238.8 287.5 993.5

41.46

342.9 292.0 997.1 41 .03

346.9 290.5

1000.6 40.60

350.7 300.8

1003.8 40.17

354.6 305.0

1007.1 39.75

358.3 309.1

1010.0 39.54

361.9 313.1

1012.9 38.96

365.4 317.0

1015.5 38.59

3*8.8 320.7

to ts . i 38.23

372.1 324.3

1020.5 37.87

375.5 327.9

1022.9 37.53

293.7 234.1 915.1

54.01

296.6 237.1 918.3

53.58

299.5 240.0 921.5

55.18

302.3 243.0 924.6

52.79

305.0 245.7 927.5

$2.41

310.2 251.2 933.0

51.70

315.2 256.5 938.2

31.04

319.9 261.6 943.0

50.41

324.4 266.6 947.7

49.81

328.8 271.4 952.0

49.25

332.8 275.9 955.9 48 .73

336.8 280.4 959.7

48.25

340.7 284.7 963.3

47.79

344.5 288.9 966.9

47.35

348.2 293.0 970.1

46.94

351.8 294.9 973.3

46.56

355.3 300.8 9762

46.21

* 5 6 7 304.5 979.1

45 .8*

362.0 368.1 981.8

45.51

3*5.3 311.7

914.5 45.17

269.0 195.6 826.0

69.74

272.4 198.8 829.3

69.34

273 .2 201.9 832.5

68.96

277.9 204.9 833.5

68.61

280.6 207.7 838.0

68 .28

285.8 213.1 843.5

67 .64

290.7 218.3 848.7

67.04

295.4 223.2 853.4

66 .43

300.0 228.0 858.0

65 .83

304.4 232.6 862.4

65.25

308.6 237.0 866.6 64.71

312.7 241.2 870.8

64.18

316.6 2 4 5 5 874.7

63.67

320.3 249.8 878.6

63 .17

324.2 253.5 882.3

62 .68

327.7 257.3 885.6

62 .23

331.0 260.9 889.0

6 1 . 8 0

334.4 264.6 892.4

61.40

337.6 268.2 895.7

61 .00

340.8 271.6

898.9 60 .60

247.6 159.8 759.8

80.50

250.6 163.0 762.9

80.21

253.4 166.1 765.9

79.92

256.2 169.1 768.7

79.65

258.9 172.0 771.0

79.38

264.0 177.5 776.0

78.85

268.7 182.7 780.8

78.33

273.2 187.5 785.2

77.83

277.5 192.2 789.5

77.34

281.7 196.8 793.7

76.86

285.8 201.1 797.7

76.39

289.7 205.4 801.7

75.94

2 9 3 * 209.6 805.4

75.52

297.2 213.6 809.1

75.11

300.8 217.5 812.9

74.70

304.2 221.3 816.0

74.30

307.5 224.9 819.4

73.90

310.7 228 .4 822.8

73.50

513.8 231 .8 826.1

73.10

316.9 235.3

129.3 72.70

239.3 146.2 739.0 83.62

242 .2 149.4 741.9

83 .34

245.1 152.6 744.8

83 .08

247.8 155.6 747.4

82.84

250.5 158.5 749.5

82.61

255.4 164.0 754.2

82 .16

260 .2 169.1 758.7

81.74

264 .6 174.0 762.8

81.27

268.9 178.6 766.8 80 .87

273.0 183.1 770.9

80.45

277.0 187.5 774.7

80 .05

280.8 191.7 778.5

79.65

284.7 195.9 782.0

79.25

288.5 199.8 785.5

78.88

291.8 203.7 789.1

78.51

295 .2 207.5 792.2

78.15

298.4 211.1 795.5

77.81

301.6 214.6 798.8

77.50

304.7 217.9 802.0

77.25

307 .8 221.4

805.2 77.00

231.0 133.2 720.8

86.30

233.9 136.3 723.6

86 .0*

236.7 139.4 726.3

85.82

239.4 142.4 728.8

85.59

242.0 145.4 730.7

85.37

247.0 150.8 735.0

84.94

251.7 1 5 6 0 759.1

84.55

2 5 6 1 160.8 743.0

84.17

260.4 165.4 746.8

83.80

264.5 170.0 750.6

83.43

268.4 174.4 754.2

83.06

272.2 178.5 757.7

82.88

2 7 6 0 182.7 761.1

82.32

279.6 186.4 764.4

81.97

283.1 190.4 767.8

81.63

286.5 194.4 770.8

81.32

289.7 197.9 774.0

81.03

292.8 201.3 777.1

80.77

295.9 204.6 780.2

80.54

299.0 208.0

783.3 80.35

222.8 120.3 704.8

88.59

225.6 123.5 707.4

88.35

228.4 1 2 6 6 709.9

88.13

231.0 129.6 712.2

87.94

233.6 132.6 714.1

17.74

238.7 138.1 718.1

87.33

243.3 143.3 721.9

86.98

247.7 148.1 725.5

86.65

252.1 152.8 729.1 86.27

256.1 157.5 732.7

85.93

259.6 161.7 736.1

85.59

263.1 165.9 739.4

85.27

267.6 170.0 742.5

84.95

271.1 174.1 745.6

84.63

274.6 178.2 748.8

84.32

278.0 181.8 751.7

84.04

281.2 185.4 754.7

83.80

284.3 188.8 757.7

83.57

287.4 192.2 760.7

83.37

290.4 195.4

763.6 83.20

214 .9 108.0 690.5

90 .53

217 .6 111 .2 693.0

90 .32

220.3 114.2 695.4

90 .16

222.9 117.2 697 .6

89.99

225.5 120.2 699.4

89.80

230.6 125.7 703 .2

89.41

235 .1 131.0 706.8

89.10

239.5 135.8 710 .2

88 .76

243 .8 140.5 713.7

88.41

247.9 145.1 717.2

88.11

251.8 149.5 720.3

87 .80

255 .6 153.8 723.3

87.50

259 .2 157.9 726 .2

87.20

262 .6 161.3 729.0

86.91

266.1 165.6 732.0

86.65

2 6 9 * 169.8 734.9

86.40

272.9 173.5 737 .6

86.16

273.8 176.6 740.4

85.90

278.3 180.0 743.2

85.67

281.8 183.5 745.9

85.47

207.0 96.1

677.7 9 2 . 1 *

2 0 9 8 99.2

680.1 *1.97

212.4 102.2 682.4

91 .78

215.1 105.2 684.6

91.61

217 .6 108.2 686.5

91.44

222.5 113.7 690.1 9 1 . 1 2

227 .2 119.0 693.5

90.81

231.6 124.0 696.9

90 .49

235.7 128.8 700.3

90.17

239.8 133.5 703.7

89.88

243.7 138.0 706.5 89 .42

247.4 142.2 709.3

19.37

250 .9 140.3 712.0

19 .13

254.4 150.8 714.7

88.88

257.7 155.2 717.5

18.64

261.0 159.1 720.2 88.40

2*4.2 162.7 722.7

18 .16

267.4 166.1 725.2 87 .92

270.3 169.4 727.8

87.68

273.2 172.4 730.3

87.44

199.4 84 .6

666.6 93 .47

202 .2 87.7

669.0 93 .30

204.8 90.7

671 .2 93.14

207.4 93 .6

673.3 92.98

209.9 96.6

675.1 92.83

214.8 102.1 678.5

92 .54

219 .4 107.5

681.6 92.25

225.7 112.5 684 .8

91.97

227.8 117.3 6*8.0

91.70 231.9 122.0 691 .2

91.42

235.8 126.7 693.8 91 .18

239.5 131.2 696.4

90.»4

243 .2 135.6 699.0

96.71

246.8 139.9 701.5

90 .4*

256.2 144.0 704.0

90 .21

253.5 I47.S 706.4

90.05

256.6 151.4 708.8 89.84

259.5 154.8 711.2 89 .43

262.4 . 158.0 713.5

89 .42

265.1 161.2 715.8

89.20

192.0 73.5

657.1 94 .5*

194.7 76 5

639.2 94.44}

197.3 79.5

461.2 94 .2*

199.9 82.5

663.1 94.14

202.3 85.5

664.9 93.94

207.2 91.0

668.0 93 .7*

211.8 96.3

671.0 93.4$

2 1 6 0 101.3 674.0

93 .1*

220.2 106.2 677.0

92.94-

224.2 110.9 680.0

92.71

2 2 8 0 115.4 682.4

92 .4*

231.7 119.7 6*4.7

92.2*

235.1 123.8 687.0

92.09

238.2 127.1 669.2

91.96

241.7 131.8 691.7

*1.7*

243.4 156.1 694.1

91.56

248.6 140.0 696.5

vl .J!

251.4 143.1 698.4

91.14,

254.3 144.4 700.6

90.9*

257 .2 150.3 702.6

99.7*

184.7 42.7

648.3 45.45

187.4 65.8

650.2 95.32

190.0 68.8

632.1 95.19

192.3 71.7

653.9 95.08

195.0 74.7

6 5 5 6 94.97

199.7 80.2

658.5 94.75

204.3 85.5

6*1.3 94.47

206.3 90.5

664.2 94.25

212.6 95.4

667.0 94.03

216.7 100.2 669.8

93.82

220.4 104.6 672.0

93.62

224.1 108.8 674.2

93.44

227.7 113.0 676.5

•3.27

231.1 117.2 678.5

93.09

234.5 121.2 410.1

92.91

237.7 125.S 683.0

92.74

346.8 129.0 415.0

92.57

343.4 132.1 417.1

92.40

24f..5 136.4 M P * !

92JM

349.4 139.1 6*1.1

9 2 0 5

177.5 53.4

640.1 96.24

180.2 55.4

641.9 96.12

182.8 58.5

643.6 96.02

185.3 61.4

645.3 95.91

187.8 64.4

646.9 95.80

192.5 69.8

649.7 95 .5*

197.0 75.1

652.5 95.37

201.1 80.0

655.1 95.16

205.2 84.9

657.7 94.95

209.2 89.8

660.4 94.73

212.9 94.2

662.5 94.37

216.5 98.5

664.5 94.41

220.0 102.7 666.6

94.25

223.4 106.8 668.7

94.10

226.6 110.8 670.9

93.95

229.9 114.9 673.0

93.80

233.1 U S . 7 674.8

93.66

236.0 122.5 676.8

93.53

239.0 1 2 6 0 678.6

93.40

241.9 129.6 680.4

93.28

170.4 42.4

632.1 96.87

173.1 45.5

633.8 96.78

175.8 48 .6

635.4 9 6 6 6

178.3 51.5

637.0 96.54

180.7 54.4

638.5 96.46

185.4 59.8

641.2 96 .26

189.8 65.0

644.0 96 .06

193.8 69.9

646.6 95.87

197.9 74.8

649.0 95.68

202.0 79.7

651.5 95.52

205.6 84.1

653.6 95.35

209.2 88.3

655.6 95.21

212.9 92.6

657.7 95.06

216.0 96.8

659.8 94.90

219.2 100.7 661.8

94.75

222.4 104.5 663.8

94 .60

225.5 108.4 665.6

94.45

228.5 112.2 667.5

94.30

231.6 116.0 669.4

94.15

234.6 119.8 671.2

94.00

163.6 33.4

625.5 97.43

166.3 36.5

627.1 97.34

168.9 39.6

628.6 97.25

171.4 42.5

630.1 97.14

173.8 45.4

631.5 97.07

178.4 50.7

634.0 96.88

182.8 55.9

636.7 96.70

186.8 60.8

639.2 96.54

190.8 65.6

641.4 96.39

194.8 70.5

643.7 96.24

198.4 74.8

645.7 96.11

202.0 79.1

647.6 95.98

205.5 83.3

649.6 95.85

208.9 87.6

651.6 95.72

212.0 91.4

655.5 95.61

215.1 95.2

655.3 95.50

218.1 99.0

657.0 95.40

221.3 102.8 658.8

95.30

224.3 106.6 660.5

95.20

227.5 110.4 662.2

95.12

156.9 25 .2

619.4 97.88

159.6 28.2

620.9 97.80

162.2 31.2

622.3 97.73

164.4 34.2

623.7 97.65

167.0 37.0

625.0 97.57

171.6 42.3

627.4 97.42

175.9 47.4

629.9 97 .26

179.9 52 .2

632.3 97.11

183.9 57.1

634.3 96.95

187.8 61.9

636.5 96.81

191.4 66.2

638.4 96 .68

194.9 70.3

640.2 96 .56

198.4 74.5

642.1 96.44

201.8 78.9

643.9 96.34

205.0 82 .6

645.6 96.25

208.0 86.4

647.3 96.17

211.0 90.1

648.9 96 .09

214.1 94.0

650.6 96 .02

217 .2 97.8

652 .2 95.96

220 .2 101.5 653.7

95 .90

150.4 17.7

613.6 98.25

153.0 20.7

614.9 98.18

155.6 23.7

616.2 98.10

158.0 26.5

617.5 98.04

160.3 29.2

618.7 97.98

164.9 34.5

621.0 97.85

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ISO

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148

145

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170

188

198

216

220

230

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10 15 20 22 24 26 28 30 32 34 38 40 42 44 46 48 50 55 60 65 70 75 80 85 87 91 95 97 198

loss tbo actual molal volume of the solution) i l a function of two constant* and the molal concentration of the components. From ail known data on liquid volumes, these constants were calculated. The resulting values were plotted as a function of temperature and fitted with a second degree equation. The resulting equation in conjunction with Fischer's relation made it then possible to calculate from the specific volumes of the components, the specific volume of the aqua at any temperature and concentration.

The values (Tables 1 and 2) are listed for the saturated state. However, the properties of sub-cooled liquid may be found with reasonable accuracy by neglecting the effect of pressure on the state of sub-cooled liquid.

Accepting Wucherer's and Zinner's estimate of the accuracy of their own work, the accuracy of the data, in English units, appears as follows:

x correct to — 0.005 approximately. kf correct to — 0.7 Btu. per lb. h. correct to ± 1 Btu. per lb., except at pressure ex

tremes of the tables.

The values of this table were interpolated so as to reproduce the original values well within the accuracy stated. The precision of the tables has been carried to a greater degree than the original data justify, especially in the case of x. and h.. This was done to provide systematic accuracy of the tables for use in interpolation and for the many calculations that involve quantity differences. It is thought that linear interpolation between values in the tables will yield reasonable precision.

The values for specific volume of the liquid as calculated from the general equation were found to check the majority of reported values well within 0.0001 cu. ft. per lb. within the range of measurements. For temperatures beyond 140° F. and concentrations above 50 per cent the values given are extrapolations unsupported by measurement. However, the close correspondence of the general equation to measurements by several investigators in known ranges justifies the extrapolation.

If the enthalpy of superheated aqua vapor is desired, it may be calculated in the same general manner as outlined for saturated aqua vapor by assuming the vapor is merely a mixture of superheated components. However, superheated aqua vapor, i.e., superheated in regard to mixture equilibrium conditions, is not commonly met in the absorption cycle except in the evaporator. Here the condition of the vapor is so nearly anhydrous, that the enthalpy of the vapor may be taken directly from the ammonia tables and then reduced to a 32° F. datum.

Some examples are given in selecting values from the tables. For the most part exact tabular values are taken to avoid the confusion of interpolation. It is suggested in using these tables that if one has much work in a given range, the construction of a graphical working plot of the requisite data will greatly reduce the labor of arithmetical interpolation.

Given: Saturation pressure 150 lb. per sq. in. absolute and

Saturation temperature 225.5* F.

Liquid concentration Enthalpy of liquid Enthalpy of vapor Vapor concentration

Find: I.in 0.28 120.2 Btu. per lb. 699.4 Btu. per lb. 0.8980 Weight frac

tion of ammonia

Given: The above liquid is cooled to 110.5* F. under 150 lb. per sq. in. pressure and liquid concentration remains 0.28.

Find: Enthalpy of liquid, —5.5 Btu. per lb. This state is equivalent to 28 per cent liquid boiling at 110.5* F. This is sub-cooled liquid and the fact that a saturation pressure of 25 lb. per sq. in. ia given has no significance.

Given: Saturation pressure

Vapor concentration

150 lb. per sq. in. absolute

0.9975

Find:

4. Given:

Saturation temperature 105.6* F. Liquid concentration 0.70 Enthalpy of liquid —3.5 Btu. per lb. Enthalpy of vapor 573.3 Btu. per lb.

Liquid concentration Enthalpy of liquid Pressure

Find: Tem per atu re.

0.50 60.6 180 lb. per sq. in.

absolute.

These conditions are presented in the case of strong liquor leaving the heat exchanger. It is a matter of direct tabular values if liquid is sub-cooled or saturated. However, under some conditions its enthalpy, by heat balance calculation, may exceed the saturation value, i.e., the liquid may be partially vaporized. Under such conditions a "cut and try" solution is required.

Let h = total enthalpy of the mixture, h. ss enthalpy of the vapor phase, ht = enthalpy of the liquid phase, x. = concentration of the vapor phase, xt = concentration of the liquid phase, x —; concentration of the mixture, m = portion of the mixture vaporized.

Ammonia balance: mx. -f- (1 — m ) « # _ : * Heat balance mh\ -f- (J — m) hf — h

x — xt h — hf Whence is desired = aa m

x, — Xt h. — ht

To solve the problem given above, select a point, at the same pressure as given but with lower liquid concentration, which will satisfy the above equation.

Under the conditions given in this example, the equation is satisfied by the following values.

Given: h s s 60.6 Btu. per lb. * = 0.50 p s s 180 lb. per sq. in.

A final trial of xt = 0.48 t =166.6*F. p s s 180 lb. per sq. in. A, = 37.3 Btu. per lb. h, = 619.1 Btu. per lb. x, — 0.9797 m — 0.04 gives a successful solution.

The conditions given are thus satisfied at 180 lb. per sq. in. and 166.6° F. with 4.0 per cent of the mixture in the vapor phase.

5. Given: Temperature Liquid concentration

Find: The specific volume of the liquid.

220 0.30

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

Temp.

' F.

20 40 60 80 100 120 140 160 180 200 220 240 260

0.00

.0160

.0160

.0160

.0161

.0161

.0162

.0163

.0164

.0165

.0166

.0168

.0169

.0171

0.1

.0166

.0167

.0167

.0168

.0169

.0170

.0171

.0172

.0174

.0176

.0178

.0182

.0189

0.2

.0172

.0172

.0173

.0174

.0175

.0176

.0178

.0180

.0182

.0185

.0189

.0194

.0207

W

0.3

.0177

.0178

.0179

.0180

.0182

.0184

.0186

.0188

.0191

.0195

.0200

.0209

.0227

tight concentration of

0.4

.0182

.0183

.0185

.0186

.0189

.0191

.019*

.0197

.0201

.0206

.0213

.0224

.0249

0.5

.0188

.0190

.0192

.0195

.0197

.0200

.0204

.0208

.0213

.0220

.0229

.0244

.0275

ammonia

0.6

.0196

.0199

.0201

.0204

.0208

.0212

.0216

.0222

.0228

.0237

.0248

.0267

.0305

0.7

.0206

.0209

.0213

.0216

.0221

.0226

.0231

.0238

.0246

.0257

.0272

.0293

.0339

0.8

.0218

.0222

.0226

.0231

.0236

.0242

.0250

.0258

.0268

.0281

.0298

.0324

.0377

0.9

.0232

.0236

.0242

.0248

.0254

.0262

.0270

.0280

.0292

.0307

.0328

.0356

.0418

1.0

.0247

.0253

.0260

.0267

.0275

.0284

.02*4

.0304

.0320

.0338

.0361

.03*5

.046S

From Table 2 read 0.0200 cu. ft. per lb.

6. Given: The conditions in Example 1

Find: The specific volume of the vapor. Pressure Temperature Vapor concentration

(weight) Molal vapor concentra

tion 0.8980+0.0051 (cf. Fig. 2)

Ammonia partial pressure 0.9031 X 150

Water partial pressure 0.0969 X 150

Specific volume ammonia at 135.5 lb. per sq. in. at 225.5° F. from B. of S. Ammonia Tables

or Specific volume steam

14.5 lb. per sq. in. at 225.5° F. from Steam Tables

or

150 lb. per sq. in. 225.5° F. 0.8980

0.9031

135.5 lb. per sq. in.

14.5 lb. per sq. in.

3.06 cu. ft per lb. 0.326 lb. per cu. ft.

27.81 cu. ft. per lb. 0.036 lb. per cu. ft.

Density of mixture per cu. ft. 0.326 -f 0.036= 0.362 lb. per cu. ft

Specific volume is thus 1/0.362 2.76 cu. ft. per lb.

The authors wish to acknowledge the work of N. J. Palladino, R. J. Prowell and S. B. Nissley, who largely carried out the detailed work of the computations and checking of the tabular values. The authors realize that in an undertaking of this size, mistakes, both typographical and arithmetic, exist, but hope that careful and repeated checking has kept these to a minimum.

Bibliography (1) A. A. Berestneff, Refrigerating Data Book, 2nd Ed. p. 18. (2) A. B. Stickney, RENIIGEBATINO ENGINEERING, Oct., 193S, mppl. (3) T. A. Wilson, University of Illinois Bulletin No. 146. (4) J. L. Clifford and K. Hunter, Journal of Physical Chemistry,

Vol. 37. 1933. (5) J. Wucherer, Ztit. f.d.g. Kiltt Industrie, Vol. 39, June, July,

1932. (6) K. Zinner. Zeis f.d.g. Kilte Industrie, Vol. 41, Feb., 1934. (7) E. Baud ft L. Gay, Annales de Chemic et Phys., Vol. 17, p. 39*,

1929. (8) H. Mollier, Mitt. Forschunj sarbeiten. Vol. 63/64. 1909. (9) V. Fisher Forschung a.d. Gtbeit d. tng.. Vol. 6, March, 1935.

(10) Lewis ft Randall, "Thermodynamics", 1st ed., p. 225. (11) International Critical Tables, Vol. I l l , p. 59. (12) A. Mittasch et al., Ztit. anora. alio. Chem., Vol. 159, p. 1, 1926. (13) King, Hall ft Ware, Jour, of Am. Chem. Soc, Vol. 52, p. 5132,

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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