a thermodynamic representations of ammo

THERMODYNAMIC REPRESENTATIONS OF AMMONIA AND ISOBUTANE ABSTRACT Tables of the thermodynamic properties of ammonia and iso- butane are presented for the superheated vapor and the saturat

ORN L/TM - 5 8 4 7

Contract No W-7405-eng-26

Engineering Technology Division

S L Milora and S K Combs

Prepared by OAK RIDGE NATIONAL LABORATORY Oak Ridge, Tennessee 37830

operated by UNION CARBIDE CORPORATION

for the ENERGY RESEARCH AND DEVELOPMENT ADMINISTRATION

OAA R DGE hATiOhA- ABORATORV BRAR ES

blliilllllllllllll~llllll~~llll~~llll~lllllllll~

3 4456 0555773 2

1

iii

NOMENCLATURE

ABSTRACT

1 INTRODUCTION

2 THE THERMODYNAMIC REPRESENTATION

2 1 S u p e r h e a t e d Vapor C o n d i t i o n s

2.2 Liquid-Vapor E q u i l i b r i u m C o n d i t i o n s

2 2 1 L i q u i d d e n s i t y and v a p o r p r e s s u r e e q u a t i o n s

2.2.2 The l a t e n t h e a t of v a p o r i z a t i o n

2.3 The Ideal-Gas S t a t e

2 4 Derived Thermodynamic P r o p e r t i e s

3 ESTIMATION OF ERRORS

3 1 S u p e r h e a t e d Vapor and Dense Gaseous Regions

3 2 Vapor P r e s s u r e and S a t u r a t e d L i q u i d Volume

4 THERMODYNAMIC PROPERTIES TABLES

REFERENCES

Page

V

1

1

2

2

5

5

5

6

6

7

7

1 9

23

98

V

NOMENCLATURE

I

Biy Ciy f i ( l ) coefficients in the Martin-Hou equation

liquid density liquid density equation coefficients

THERMODYNAMIC REPRESENTATIONS OF AMMONIA AND ISOBUTANE

ABSTRACT

Tables of the thermodynamic properties of ammonia and iso- butane are presented for the superheated vapor and the saturated liquid and vapor states

appropriate analytical pressure-volume-temperature (P-V-T) rep- resentations for the fluids in the regions described

The properties were calculated using

The tables cover the approximate range of values of reduced temperatures up to 1.5 and reduced pressure up to 5

1 INTRODUCTION

This report represents a compilation of the thermodynamic properties

of ammonia and isobutane which have been calculated from analytic thermo- dynamic representations for the two fluids in the liquid-vapor equilibrium states and the superheated vapor and compressed gaseous regions

tion of state upon which the formulation is based is a revised Martin-Hou representation1 that is particularly well-suited to describing P-V-T be- havior of fluids at supercritical pressures This feature i s important

in some applications such as power cycle calculations for thermodynamic cycles employing supercritical pressure boilers *

both fluids described here are valid up t o values of reduced pressures of about 5 and reduced temperatures of about 1.5, which is more than adequate for most applications

both representations are inaccurate at values o f reduced density greater than unity for temperatures less than the critical value

The equa-

The representations f o r

The subcooled liquid region is excluded, since

1

2

2 THE THERMODYNAMIC REPRESENTATION

In the superheated vapor and high density (supercritical) compressed

gaseous regions, the P-V-T behavior of the fluids is described by the

following dimensionless, o r reduced, form of the relevant Martin-Hou

equation : 1 9 3

where Pr = P/Pc, Tr = T/Tc, and vr = V/V

values of pressure, temperature, and specific volume The subscript c

pertains to values at the thermodynamic critical point,and Z

represent, respectively, reduced

C

is the criti-

C

cal compressibility factor defined as Z

fluid specific gas constant in consistent units

of Eq (1) [which are related to the virial coefficients] are written in

the following dimensionless form:

where Bi, Ci, and K are constants and fi(l) represents the value of the

relevant temperature function evaluated at the critical temperature

Milora3y4 has determined values of the parameters fi(l) , Bi, Ci, K,

a, and b for ammonia and isobutane by using a nonlinear least-squares

algorithm to fit the available P-V-T data The results are listed in

Tables 1 and 2 along with other pertinent physical constants

5

2.2 Liquid-Vapor Equilibrium Conditions

2.2.1 Liquid density and vapor pressure equations

The following standard forms were chosen t o represent the saturated reduced liquid density and the reduced vapor pressure, respectively:

, is calculated from the Clapeyron hfg

The latent heat of vaporization,

equation using the preceding results

expression for h becomes

In terms of reduced variables, the

fg

with

The subscripts g and f refer to the gaseous an3 liquid states, respectively

It follows that the entropy variation, s

given by

during the phase change is fg’

6

The properties of the gas at large values of reduced volume are re-

quired to complete the thermodynamic representation In the limit vr + a ,

Eq (1) becomes

Tr

which is the reduced form ofthe ideal-gas law

enthalpy is a function only of temperature, as is the constant pressure

specific heat function C The latter is represented accurately over the

temperature range of interest by a simple polynomial function

In this dilute state the

The relevant dimensionless coefficients are given in Tables 1 and 2

The derived thermodynamic properties, including enthalpy and entropy,

are expressible as algebraic relationships involving the primary thermo-

dynamic variables, the equation-of-state parameters, and the ideal-gas

specific heat coefficients For changes in the values o f enthalpy and

entropy between the state points P I , T1 and P,, T2,the following expres-

t h i s r e g i o n i s r e p r e s e n t e d a c c u r a t e l y

Again, t h e l a r g e s t

T a b l e 3 R e s u l t s of ammonia P-V-T r e p r e s e n t a t i o n : Comparison w i t h d a t a o f Davies5

10.124 20.263 40.563 10.130 20.267 40.494 60.804 80.793 101.530 20.267 40.519 60.800 81.230 100.050 139.110 183.240 242.320 328.310 409.440 10.138 20.278 40.560 60.819 81.019 100.930 141.120 182.120 243.760 323.680 408.010

- 0 0 8

-0.01

0.08 -0.03 0.01

- 0 0 9 0.15

4 3 3 0.20

0 0 1

- 0 0 3 0.01 0.21 -1.26 -1.93 0.47 -0.36

1 2 5 1.02 0.06 0.06 0.07 0.04 -0.05 -0.39 -0.52

- 0 1 5 0.24

- 0 1 7 0.67

1630.1 1593.2 1494.2 1729.3 1703.8 1644.1 1572.6 1479.3 1267.5 1755.4 1704.8 1649.3 1586.6 1508.3 1196.5 988.7 936.9 909.1 895.6 1926.3 1910.1 1876.7 1841.8 1805.5 1767-7 1683.4 1588.6 1439.7 1307.3 1241.0

1629.4 1590.8 1492.0

1 7 2 7 7 1700.5 1640.2 1567.4 1472.9 1279.3 1752.4 1702.2 1644.9 1577.5 1501.4 1196.1 979.0 928.3 898.5 884.4 1924.6 1907.7 1873.0 1837.1 1799.9 1761.5 1677.7 1582.8 1437.3 1309.6 1243.9

-0.04

- 0 1 6 -0.15

- 0 0 9

- 0 1 9

- 0 2 4 -0.33

- 0 4 3 0.93

- 0 1 4

- 0 1 5

- 0 2 6 -0.57

- 0 4 6

- 0 0 4

- 0 9 8

- 0 9 1 -1.17 -1.25

- 0 3 4 -0.39 -0.16 0.17 0.23

Table 4 R e s u l t s of ammonia P-V-T representation: Comparison w i t h data of Beattie and Lawrence6

15.254 18.796

0.03 0.06

1506.2 1483.9

18.470 23.122 30.831 36.903 45.708 58.846 20.012

25.179 33.883 40.895 51.413 68.456

20.007 25.163 33.852 40.856 51.356 68.368

- 0 0 2

- 0 0 6 -0.09

- 0 1 0 -0.11

- 0 1 3

1696.2 1681.5 1655.3 1632.8 1596.2 1526.0

21.517 27.158 36.779 44.655 56.720 77.232

1 7 2 1 0 1700.7 1667.7 1604.9

24.486 31.064 42.460 51.976 66.942 93.776 27.420 34.911 48.019 59.104 76.805 109.486 30.338 38.731 53.525 66.144 86.506 124.818

0 0 6 0.06 0.03 0.01 0.02

- 0 0 2 0.19 0.19 0.13 0.12 0.08

4 1 2 0.34 0.38 0.39 0.38 0.33 0.07

1882.6 1871.0 1850.5

1 8 3 3 1 1804.9 1751.6 2009.7 1999.2 1980.7 1964.9 1939.5

1 8 9 1 7

2140.0 2130.5 2113.3 2098.7 2075.1 2030.6

c

0

a

Data n o t g i v e n

4.133 8.278

-0.09 0.04

1512.5 1483.7

1510.5 1483.7

4.137 8.274 12.411 16.548 20.684

4.131 8.267 12.403 16.538 20.647

-0.14 -0.09 -0.06 -0.06 -0.17

1616.6 1600.1 1582.9 1564.6 1545.0

1613.8 1597.4 1580.1 1561.6 1541.8

-0.17 -0.16 -0.18 -0.19 -0.21 -0.17 -0.18 -0.22 -0.24 -0.27

F

w 388.7

4.132 8.268 12.415 15.558 20.690

-0.12 -4.06 0.03 0.06 0.03

1719.4 1708.2 1697.0 1685.4 1673.6

1716.5 1705.2 1693.5 1681.4 1669.0 422.0

4.132 8.271 12.423 16.574 20.720

-0.12 -0.03 0.09 0.16 0.17

1797.5 1788.9 1780.0 1771.2 1762.1

1794.7 1785.5 1776.2 1766.7 1757.0

-0.15 -0.19 -0.21 -0.25 -0.28

T a b l e 6 R e s u l t s of i s o b u t a n e P-V-T r e p r e s e n t a t i o n : Comparison w i t h d a t a o f C a n j a r and Manning6

1 4 9 5 95.740 6.337

1 7 0 1 103.100

6 8 6 9

1 8 8 9 0.837 110.500 7.396 2.066 0.948 0.564 117.800

7 9 1 9 2.237

1 0 4 8

0 6 4 7 0.439

0 3 9 3

1.000

1 4 6 9 6 50.000 1.000 14.696 50.000

1 0 0 0 14.696 50.000 100.000

1 0 0 0 14.696 50.000

1 0 0 0 0 0 150.000

1 0 0 0 14.696 50.000 100.000 150.000 200.000 250.000

1.000 14.661 50.117

1 0 0 0 14.677 50.050

1 0 0 1 14.686 50.024 100.132

1 0 0 1 14.689 50.020 100.109 150.170

1 0 0 2 14.689 50.000 100.133 150.177 200.190 249.798

- 0 0 3

- 0 2 4

0 2 3 0.02 -0.13 0.10

0 0 7

- 0 0 7 0.05

1 7 7 2 0 200.30 199.20 194.20 216.60 215.50 211.50 204.70 233.90 232.80 229.40 224.10 217.60 251.90 250.90 248.10 243.70 238.70 232.80 225.00

1 8 5 5 3 183.46 177.20 200.49

1 9 8 7 9 193.89 216.53 215.10 211.13 204.40 233.61 232.41 229.11 223.81 217.35 251.71 250.68 247.90 243.56 238.62 232.69 224.76

0 0 1

- 0 0 7

0 0 1 0.09

4 2 1

- 0 1 6

- 0 0 3 -0.18

- 0 1 7

- 0 1 4

- 0 1 2

- 0 1 7 -0.13 -0.13

1 1 4 3 0.719 0.504 0.369 0.277 0.208 129.100 8.696 2.484 1.188 0.753 0.534 0.399 0.306 0.235 0.170 123.800

8 9 5 3 2.564 1.232 0.786 0.562 0.425

1.000 14.696 50.000 100.000 150.000 200.000 250.000 300.000 350.000 1.000 14.696 50.000 100.000 150.000 200.000 250.000 300.000 350.000 400.000 1.000 14.696 50.000 100.000 150.000 200.000 250.000

1 0 0 1 14.690 50.007 100.033 150.158 200.246 251.580 299.952 342.807

1 0 0 0 14.690 49.994 100.046 150.138 200.271 250.305 300.245 349.818 398.305 1.000 14.691 50.005 100.065 150.094 200.159 250.210

0.07

- 0 0 4 0.01

0 0 3

0 1 1 0.12

0 6 3

- 0 0 2 -2.06

- 0 0 1

- 4 0 4

- 0 0 1

0 0 5 0.09 0.14 0.12

270.90 269.90 267.60 263.80 259.80 255.30 250.10 243.60 234.10 280.70 279.80 277.60 274.10 270.50 266.30 261.80 256.50 249.90 238.30 290.80 290.00 287.80 284.60 281.10 277.40 273.30

270.80 269.91 267.52 263.90 259.90 255.40 250.01 243.64 235.52 280.71 279.88 277.66 274.31 270.67 266.66 262.13 256.82 250.17 240.06 290.85 290.07 288.00 284.90 281.57 277.95 273.96

-0.04

0.00

- 0 0 3

0.04 0.04 0.04

- 0 0 4 0.02 0.60

w

0.00 w

0 0 3 0.02 0.08 0.06 0.13

0 1 3 0.12 0.11 0.74 0.02

0 0 3 0.07 0.11 0.17 0.20 0.24

0 1 8 5 0.164 0.142 0.115 136.500 9.209 2.645

1 2 7 6 0.819 0.588 0.449 0.354 0.285 0.231 0.212 0.194 0.177 0.160 0.144 0.127 0.107 0.075 0.057

0 0 5 3

300.000 350.000 400.000 420.000 440.000 460.000 480.000 1.000 14.696 50.000 100.000 150.000 200.000 250.000 300.000 350.000 400.000 420.000 440.000 460.000 480.000 500.000 520.000 540.000 560.000 580.000 600.000

300.162 350.000 399.385 419.315 438.757 457.770 472.690

1 0 0 0 14.693 49.986 100.029 150.045 200.048 250.091 299.958 349.855 399.730 419.999 439.831 459.725 479.594 499.039 518.045 536.400 553.444 570.253 589.137

268.70 263.30 256.80 253.90 249.60 244.50 237.30 301.20 300.40 298.40 295.30 292.10 288.60 284.90 289.90 276.30 271.10 268.70 266.10 263.20 259.90 256.10 251.30 244.20 228.30 214.20 209.40

269.45 264.17 257.62 254.28 250.29 244.92 236.29 301.23 300.50 298.56 295.68 292.62 289.32 285.75 281.82 277.39 272.25 269.86 267.29 264.40 261.08 257.19 252.28 245.09 228.79 214.32 209.50

640.000 680.000 700.000 800.000 900.000

1 0 0 0 14.696 50.000 100.000 150.000 200.000 250.000 300.000 350.000 400.000 500.000 600.000 700.000

631.028 676.788 694.988 789.680 884.589 979.759

1,405.846 1,654.601 1,762.981

1 , 9 3 6 1 2 8 2,452.152

3,566.762

1 0 0 0 14.690 49.975 99.970 149.952 199.917 249.879 299.833 349.608 399.435 498.742 597.677 698.256

-1.40

- 0 4 7

- 0 7 2 -1.29 -1.71 -2.02

6 8 1 0.42

3 4 1 -2.06 -3.19 -1.91

- 0 2 5

204.80 202.50 201.70 198.70

1 9 6 7 0

1 9 5 3 0 191.30

1 9 1 0 0 190.80

1 9 0 5 0

1 9 0 4 0

1 9 0 0 0 190.20 190.70 322.70 322.00 320.20 317.70 315.00 312.20 309.30 306.10 302.70 299.10 290.50 279.30 262.70

204.71 201.83 200.96

197 - 7 0 195.54 193.94 190.75

1 8 9 9 3 188.76 188.40 187.98 187.49 187.77 188.65 322.67 322.02 320.32 317.81 315.17 312.38 309.43 306.27 302.89 299.19 290.57 279.17 262.43

- 0 0 4 -0.33

-1.32 -1.28 -1.08

F

- 0 0 1

0 0 1 0.04

0 0 3 0.05 0.06 0.04 0.06 0.06 0.03 0.02

4 0 5 -0.10

Table 6 (Continued)

0.050

0.045 0.043 0.041 0.040 0.039 0.038 0.036 0.035 158.600 10.740 3.115 1.527 0.997 0.732 0.572 0.466 0.389 0.332 0.251 0.197 0.158 0.129 0.107 0.091 0.071

800.000 900.000 1,000.000 1,200.000 1,400.000 1,600.000 1,800.000 2,000.000 2,500.000 3,000.000 3,500.000 1.000 14.696 50.000 100.000 150.000 200.000 250.000 300.000 350.000 400.000

500.000

600.000 700.000 800.000 900.000 1,000.000 1,200.000

797.061 897.522 999.437 1,195.972 1,396.233 1,599.795 1,799.342 1,995.863 2,488.882 2,995.689 3,511.837

1 ooo

14.697 49.991 99.972 150.008 199.996 250.083 300.128 350.123 400.174 500.295 600.194 700.204 800.135 899.760 998.420 1,196.562

-0.37 -0.28 -0.06 -0.34 -0.27

- 0 0 1 -0.04

-0.21

-0.44 -0.14 0.34 0.04 0.01 -0.02 -0.03 0.01

- 0 0 0

0.03 0.04 0.04 0.04 0.06 0.03 0.03 0.02 -0.03 -0.16 -0.29

247.20 238.10 232.90 227.30 224.20 222.20 220.90 219.90 218.70 218.30 218.20 368.30 367.80 366.50 364.50 362.50 360.50 358.30 356.10 353.80 351.40 346.20 340.60 334.50 327.90 320.90 314.00 303.20

246.40 236.99 231.69 226.12 222.92 220.80 219.36 218.33 216.83 216.27 216.32 368.21 367.69 366.33 364.35 362.30 360.19 358.01 355.74 353.39 350.94 345.72 340.04 333.83 327.13 320.17 313.43 310.98

-0.32 -0.47 -0.52 -0.52 -0.57 -0.63 -0.70 -0.71 -0.85 -0.93

c.l

-0.03 -0.03 -0.05 -0.04

-0.05

-0.08 -0.08 -0.10 -0.12

-0.13

-0.14 -0.17 -0.20 -0.23

-0.23

-0.18 -0.40

Table 6 (Continued)

0.35 1.15 0.30 0.23 0.02 0.03 0.09 0.01

4 - 0 1 -0.04 -0.05 -0.08 -0.05 -0.04 -0.02 -0.03 4.01 0.01 0.07 0.11 0.14

- 0 0 0

-0.17 -0.36 0.11 0.43 -0.20 0.34

294.10 288.60 284.60 281.80 277.50 275.40 274.40 496.90 496.50 495.60 494.40 493.10 491.90 490.60 489.30 488.00 486.70 484.00 481.30 478.60 475.90 473.10 470.30 464.80 459.70 454.90 450.50 447.10

293.53 287.69 284.13 281.38 277.29 275.29 274.40 496.32 495.99 495.12 493.87 492.61 491.34 490.05 488.75 487.44 486.12 483.44 480.72 477.97 475.21 472.49 469.80 464.51 459.26 454.42 450.38 446.40

4 2 0 -0.32

4 1 7 -0.15

4 0 8 -0.40

4 1 3 -0.14 -0.13 -0.11 -0.06 -0.10 -0.10 -0.03 -0.16

F

4 1 0 -4

0 0 5 3 251.000 17.080 5.009 2.499 1.661

1 2 4 3 0.992 0.825 0.705 0.616

0 4 9 1 0.408

0 3 4 9 0.304 0.270

0 2 4 3 0.202 0.174 0.152 0.136

0 1 2 3

0 1 0 1

0 0 8 7 0.077

2,500.000 3,000.000 3,500.000

1 0 0 0 14.696 50.000 100.000 150.000 200.000 250.000 300.000 350.000 400.000 500.000 600.000 700.000 800.000 900.000

2 , 5 1 2 5 9 5

3,478.769 1.000 14.686 49.978 99.945 149.919 199.837 249.882 299.877 349.858 399.841 499.839 599.824 699.674 799.848 900.048

1,600.411 1,801.689

- 0 0 7

- 0 0 4

- 0 0 5

- 4 0 5 -0.08

7 1 5 9 0 714.50 713.10 711.60 710.20 708.90 707.50 704.90

7 0 2 4 0

700.00

6 9 7 7 0 695.60 690.90 687.00 683.80

438.83 433.71 430.02 721.41 721.20 720.66 719.90 719.13 718.37 717.62 716.86 716.11 715.35 713.86 712.39 710.94 709.50 708.09 706.70

7 0 4 0 2

701.46 699.03 696.73 694.60 689.97 685.99 682.85

w

00

19

*

The relatively large discrepancies exhibited near the critical region are due partly to the condition that, in the least-squares algorithm, the analytical model is forced to reproduce the critical point exactly [P = 1 and (aPr/aVr) = (d2Pr/dv:)

By relaxing these constraints, the errors would be reduced but the self- consistent nature of the representation would be lost

specific volume are negligible

of the error is on the order of a tenth of a percent which is satis- factory for most applications

For ammonia, the errors in both vapor pressure and

In the case o f isobutane, the magnitude

Table 7 Results o f the vapor pressure and saturated liquid volume repre-

sentation f o r ammonia: Comparison with data of Davies5

0.00 0.00 0.00

-0.01 0.03 0.01

0 0 0

0.04 0.03 0.03 -0.06

4 0 9 -0.08 -0.05 -0.10

0

23.37 23.74 24.13 24.55 24.99 25.46 25.96 26.50 27.07 27.70 28.39 29.14 29.98 30.92 31.99 33.24 34.73 36.58 39.03 42.61 49.45 72.33

23.36 23.74 24.13 24.55 24.99 25.46 25.96 26.50 27.08 27.70 28.39 29.14 29.98 30.92 31.99 33.25 34.74 36.60 39.05 42.63 49.50 72.33

0

N

0

'

Table 8 Results of the vapor pressure and saturated liquid volume representa-

52.975 61.953

72.037 83.218 95.733 109.72

0.19 0.04 0.03 -0.04 -0.12

-0.13

-0.14 -0.15 -0.11 0.02 0.05 0.06 0.18 0.19 0.10

0.00

0.07 0.04 0.01

- 0 0 0

0.02668 0.02695 0.02699 0.02723 0.02753 0.02783 0.02815 0.02848 0.02882 0.02918 0.02956 0.02996 0.03039 0.03084 0.03131 0.03182 0.03237 0.03295 0.03358 0.03428

0.02667 0.02695 0.02698 0.02724 0.02754 0.02786 0.02818 0.02851 0.02886 0.02922 0.02960 0.03000 0.03042 0.03086 0.03133 0.03183 0.03237 0.03295 0.03359 0.03428

-0.05

0.00

-0.05 0.05 0.05 0.09 0.10 0.12 0.14 0.15

I\)

w

0.14 0.13 0.09 0.07 0.07 0.04

0.00

0.01

0.02

0.01

4 THERMODYNAMIC PROPERTIES TABLES

Tables 9 through 12 present values of the thermodynamic variables for the saturated liquid and vapor and superheated vapor states

saturated liquid at -40°C serves as the reference state €or enthalpy and entropy The following units are used consistently throughout:

The

Temperature, T O C

Specific volume, v cm3/g Specific enthalpy, h kJ/kg Specific entropy, s kJ/kg K

The following conversion factors may be used,to convert to English units :

Table 9 The saturation properties of ammonia

1.534 1.540 1.546 1.553 1.559

1.566

1.573 1.580 1.587 1.594 1.601

1.608 1.616 1.623 1.631 1.639

1.647 1.655 1.663 1.672 1.680

621.7 572.5 527.9 487.3 450.4

416.8 386.3 358.4 332.8 309.3

288.0

268.4 250.2 233.5 218.2 204.0

191.0 179.0 167.7 157.4 147.8

138.9 130.6 122.8 115.6 108.9

623.3

574.0 529.4 488.8 452.0

418.3 387.8 360.0 334.3 310.9

289.5

270.0 251.8 235.1 219.8 205.6

192.6 180.6 169.3 159.1 149.4

140.5 132.2 124.5 117.3 110.6

89.78 98.72 107.6 116.8 125.9

135.4 144.4 153.2 162.9 172.4

181.4

190.3 200.0 209.6 219.1 228.5

237.8 247.0 257.0 265.9

275.7

285.4 294.9 304.8 314.6 324.2

0.5449 0.5786 0.6117 0.6476 0.6828

0.7157

0.7480 0.7829 0.8172 0.8509 0.8840

0.9164 0.9483 0.9826 1.013 1.046

1.079 1.111 1.144 1.176 1.207

5.256 5.191 5.126 5.062 4.998

4.933 4.872 4.812 4.749 4.687

4.628

4.570 4.510 4.450 4.391 4.334

4.277 4.222 4.164 4.110 4.053

3.998 3.943 3.888 3.833 3.780

5.624 5.624 5.565 5.535 5.507

5.478 5.451 5.424 5.396 5.370

FJ

P 5.344

5.318 5.292

5.267

5.242 5.218

5.194 5.170 5.146 5.123 5.100

5.077 5.054 5.032 5.009 4.987

I '

A

1 7 2 6 1.736 1.745 1.756 1.766 1.777 1.788

1 7 9 9

1 8 1 0

1 8 2 2

1 8 3 4 1.847

1 8 6 0

1 8 7 3 1.886 1.900 1.915

102.7 96.82 91.36 86.23 81.43 76.95

7 2 7 5 68.79 65.06 61.55 58.29 55.17 52.25 49.50 46.88 44.43 42.09 39.89 37.81 35.85 33.97 32.19 30.50

2 8 9 1 27.37 25.92 24.54

2 3 2 1 21.94 20.74

1 0 4 4 98.52 93.07 87.94 83.16

7 8 6 8

7 4 5 0 70.55 66.82

6 3 3 3 60.08 56.97 54.06 51.32 48.72 46.27 43.95 41.76 39.70 37.75 35.88 34.12 32.45 30.87 29.35

2 7 9 1 26.55 25.24 22.99 22.82

333.7 343.6 353.4 363.5

3 7 3 4 383.3 393.0

4 0 3 1 413.5 423.7 433.4 443.9 454.2 464.5 475.0 485.4 496.1 506.7 517.2 527.6 538.7 549.6 560.5 571.2 582.6 594.0 605.2 617.0 628.8

1 8 8 7 1.917 1.947

1 9 7 8 2.009

2 0 4 0 2.072 2.103 2.134

3.727 3.673 3.620 3.566 3.513

3 4 6 1 3.409 3.357

3 3 0 4

3 2 5 1

3 2 0 1 3.148 3.096 3.044 2.992 2.940 2.887 2.835

2 7 8 3 2.732 2.679 2.626

2 5 7 3

2 5 2 1 2.466 2.412 2.358 2.302 2.246

2 1 9 1

4.965 4.943 4.921 4.900 4.878 4.857 4.835 4.814 4.793

4 7 7 1 4.750 4.729 VI

2.217 2.247 2.279 2.312 2.349

2.389 2.433 2.481 2.535 2.596

2.666 2.750 2.854 2.989 3.192

3.680 4.247

19.61 18.50 17.45 16.43 15.46

14.52 13.62 12.74 11.90 11.09

10.29 9.505 8.756 8.005 7.249

6.489 5.692 4.884 3.968 2.812

1.003 0.0

21.70 20.62 19.59 18.59 17.65

16.73 15.86 15.02 14.22 13.43

12.68 11.94 11.24 10.54 9.845

9.156 8.443 7.737 6.958 6.003

4.683 4.247

652.0 664.3 676.4 689.2 701.8

715.1 728.3 742.1 755.9 770.3

785.2 800.7 816.3 833.1 851.0

870.0 891.1 913.6 939.9 972.7

1024

1068

779.8 762.8 745.7 727,4 708.9

689.2 669.2 648.0 626.4 603.4

579.1 553.2 526.8 497.6 465.6

430.6 390.1 345.5 289.9 212.0

78.02 0.0

2.329 2.362 2.397 2.432 2.468

2.505 2.543 2.582 2.623 2.666

2.712 2.763 2.817 2.880 2.959

3.083 3.190

2.136 2.078 2.020 1.960 1.900

1.837 1.774 1.709 1.643 1.575

1.504 1.429 1.354 1.272 1.184

1.090 0.9821 0.8657 0.7226 0.5258

0.1926 0.0

4.301 4.275 4.249 4.222 4.194

4.166 4.137 4.106 4.075 4.043

4.008 3.972 t

3.935 3.895 3.850

D

3.802 3.745 3.683 3.603 3.485

3.276 3.190

T a b l e 10 Thermodynamic p r o p e r t i e s of ammonia i n t h e s u p e r h e a t e d vapor s t a t e

1200

1429

5.960

- 1 5 25180- 7.497

5.507

0

26650

1180 7.613

13310 1U79 7.273

2650

1476 6.U79

1310

1 4 1 3 6.131

1300

107 2 6.124 647.1

1 46 5 5.771 42U.5

1457 5.550

3 13 -0

1U48 5.387

1087

5.851 442.9

1080

5.634 327.4

1473

5.474 258.1

1065

5.345 211.7

1498

5.890 452.0

1477

5.389 216.8

1509

5.928 460.9

1503

5.714 341.5

1496

5.557 269.7

1490

5.931 221.8

1520

5.966 069.9

1514, 5.753 348.4

1508

5,597 275.5

1502

5, 472 226.8

1532

6.003 478.7

1526

5.791 355.3

1520

5.636 281.1

1532

5-67 5 286.7

1526

5 - 5 5 2 236.4

1520

5,049 183.0 187.5 191.9 196.2 200.5

1554

6.075 096.3

1509

5.865 368.8

1543

5.712 292.3

1538

5.59 1 241.2

1533

5.089 200.7

1527

5.400 177.2

1569

6,453 760.0

1565

6.110 505.0

1560

5.90 1 375.5

1555

5.7a9 297- 8

1550

5.628 245.9

1545

5.527 208.8

1540

5-440 181.0

1534

5.362 159.3

15760 16010

1580 1595 7.626 7.659

31 40 3190-

1583 1593 6.836 6.870

1570 1590

1580 1591 6.U93 6.526 15U0, 1570

1580 1591 6.486 6.520 776.7 789.0

1576 1587 6.144 6.179 513.7 522.4

1571, 1583 5.936 5.971 382.2 388.8

1567 1578 5.785 5.820 303.2 308.6

1562 1574 5.665 5.701 250.5 255.2

1557 1569 5.565 5.602 212.9 216.9

1552 1560 5.478 5.5l6

184.6 188.2

1547, 1560

5 4 0 1 5.400 162.6 165.9

1542 1555 5.332 5.371

1987

9 9 0 9

50 195.0

1537

5.268 118.5

1526

5.154 99.49

1490

9 87 c

64.77

1977, 1.786

55 1Y8.0

1550 5.309 121.1 15uo 5.1% 101.8

1529

5,0%

87.37 151E 5.005

7 5 %

1506 9,920 66.79

1091 0.839 59.22

1081 1.761

1598

6.212 531.0 159u

6.005 395.4

1590

5.855 3au.o

1585

5,737 259.7

1581

5.638 220.9

1577

5.553 191.8

1572

5.478 169.2

1609

6.295 539-6

1605

6.039 402.0

1601

5.890 319.4

1597

5.772 264.3

1593

5.674 224.9

1589

5-589

195 4 158Y

1617

6.072 408.5

1605

5.709 228.8

1601

5.625 198.9

1632

6.310 556.7

1628

6.105 415.0

1613

5.659 202.1

1609

5.586 178.7

6.3'42 565.2

1639

6.137 421.5

1636

5.989 335.2

1632

5.873 277.7

1628

5.777 236.6

1625

5.694 205.8

1621

5.621 181.8

5.810

240 5

1637

5.727 209.2

1633

5.655 18U.9

1668

6,743 877.6

1665

6,UOS 582.1

1655

5,930 286.6

1652

5 BY2 24U 3 l6U9

5.760 212.6 16U5

5.688 188.0

1673

6.232 990.8

1670

6.085 350.9

1667

5.970 291.0 166Y

5.875 248.2

1661

5 7 9 3 216.0

1657

5 7 2 1 191.0 165U

1688

6.466 599.0

1685

6.263 467.2 1682- 6.116 356.1

1679

6 - 0 0 1 295.U

1676

5.906 252.0

1673

5,825 219.9

1669

5,754 19u 1

6 U97

607 U

1696

6.293 953.6

1693

6.147 361.3 1690- 6.033 299.7

1681

5.786 197.1

1713

6.863 927.6

1710

6.5 26 615.8

1708

6.323 U60.0

1705, 6.177

366 0

1702

6.063 304.1

1699

5.969 259-5

1691

5.750

w

0

1553

5 i 3 7 104.2

1543

5.139 89.49

1533

5.050 77.99

1512

4 968 68.73

1576

5.386 126.3

1567

5.277 106-5

1557

5.181 91.60

1548

5.094 79.96

1537

5.013 70.60

1527

0.938 62.90

1516

0.866 56-93

1504

4.796 SC.90

1588

5 424 128.8

1580

5.316 108.8

1571

5.221 93.66

1562

5.136 81.88

1073

7 5 159.8

1601

5.460 131.3

1593

5 - 354 111.0

1585

5.260 95.68

1576

5.176 83.75

1567

5.099 70.17

1558

5.028 66.30

1548

0.960 59.71

1517

4.773 45.01

1506

U 7 13 41.27

1094

4.654 37.92

1606

5.391 113.2

1598

5.298 97.67

1590

5.216 85.59

1581

5 (PO 75.89

1573

5- 0 7 0 67.93

1564

5.004 61.27

1555, 0.942 55.60

1545

4.881 50.72

1535

4.823 06.46

1525

4.766 42.69

1514

4.710 39.34

1603

5.254 87.38

1595

5.180 77.57

1587, 5.111 69.52

1579

5.047 62.78

1570

4.986 57.06

1561

4.927 52.13

1552

0.871 41.83

1542

4.816 44.05

1532

4.763 40.69

5.372 101.5

1617

5.292 89.15

1609

5,219

7 9 2 1

1602, 5.151

1550

4,813 41.96

1541

4,762

9 5 171.0

1651

5.599 141.0

1640

5.497 119.6

1637

5.408 103.4

1630

5.328 90.89

1623

5.256 80.83

1616

5.190 72.58

1593

5.014 50.81

1585

4.961 50.04

1576

0.909 46.60

1657

5.531 121.6

1650

5- 442 105.3

1630

5.227 74.07

1623

5,166 67.10

1615

5.109 61.18

1608

5.055 56.10

1600

5.003 51.68

1576

4.858

105 176.6 1675- 5.665 105.7

1643

5.264 75.53

1615

5.040 52.89

1608

4.995 U8.97

160 1

4.948 45.50

1593

4.903

~~

110 17Y.3

1676

5.5 10 109.0

1644

5.185 63.78

1637

5.133 58.58

1616

4,990 46.60

1609

4.905

w

P

4 487

8 5 37.67

u.501 28.03 1U62

1531

6,713 36.20

1521

U- 663 33.71

1510

4.614 31.14 1U98

4,565 29.34

1686

4.516 27.39 1U7U

4,465 25.57

1460

4.U13 23.85 1UU6

4,360

9 5 40.1u

1550

Y.76U 37.39

1520

6.624 30.5U

1509

0.578 28.61

1498

4.531 26.81

1486

4.18 4 25.13

1474

4 436 23.55

1060

9 3 8 7 22.00

1406

4 336 20.60 1U31

U.282

100 01.29

1550

4 7 2 3 33.75

1540

1,679 31.66

1531

4.636 29.74

1520

4.592 27.96

1510

u 5 4 8 26.29 1U99

4 5 0 1 26.74

1487

u.u59 23.27

1175

4.614 2fl.88

1162

4.367 20.56

1148

4.318 19.28

1433

4.267

105 u2 00

1585

1 8 5 8 39.62

1560

4.731 32.72

1532

4.607 27.36

1522

U 566 25.82

1512

4.521 24.38

1570

U.710 31.80

Y.622 26.83

1531

u-580 25.39

1525

u.515 2u.00

1511

U.505 22.77

1 sou

4.466

21.57 1U93

4.425

w

h)

*

4.257 17.08 1u21

4.206 15.99

1104

4.151

110 20.03

1 0 8 1

4.381

19.33 1469- U-342

1 8 - 2 8

1456

4,298 17.27

1042

u.253 16.28

1027

U, 205 15.31

1722

6.556 624.2

5 8U9

203.1 5.786

1733

6.585 632.6

1731

6 - 3 8 3 472.7

1728

C.237 376.7

1725

6.124 312.7

1723

6.030 267.0

1720

5.949 232.7

17 18

5.879 206.0

1745

6.614 6U1.0 17U2

6 U12 479.0 17UO

6.267 381.8

1737

6.153 317.0

1735

6.060 270.7

6.183 321.3 17U7

6.089 274.5

1768

6.672 657.7

1766

6.U69 491.7

1763

6.325 392.0 1761- 6.212 325.6

1758

6.118 278.2

1777

6.498 498.0

1775

6.353 397.1

1773

6.2UO 329.9

1770

6.147 281.9

1784

t.269 331.2

1782

6,176 285.6

1801

6.55U 510.6

1799

6.410 U07.3

1812

6.582 516.9

1810

6.U38 412.4

1808

6.325 312.7

1806

6.233 292.9 180U

18244

6.609 523.1

1822

6.465 417.0

1820

6.353 3U6.9

1818

6.260

29 6.6

1 8 1 6 - 6.182

1842 8.645

21380

1842 8.306 U270 18U1 7.519

2 130

1840 7.179

2110

1840 7.173

1060

1838 6.838

7 0 7 -7

1836 6.636 529.U

1834 6.U93 U22.5

1832 6.380 351.2

1830 6.288 300.2

1828

6 - 209 262.0

1826 6.141

2 3 2 -3 182U 6.080

'