Thermodynamic and Transport Properties of Fluids

Thermodynamic and Transport Properties of Fluids

SI Units arranged by G. F . C. Rogers and Y. R. Mayhew

Fifth Edition

Blackwell Publishing

CONTENTS Notation and Units Saturated Water and Steam Superheated and Supercritical Steam Further Properties of Water and Steam Mercury-Hg Ammonia - NH3 (Refrigerant 717) Dichlorodifluoromethane - CF2C12(Refrigerant 12) Tetrafluoroethane - CH2F-CF3 (Refrigerant 134a) Dry Air at Low Pressure Specific Heat Capacity c,/[kJ/kgK] of Some Gases and Vapours Molar Properties of Some Gases and Vapours Enthalpies of Reaction and Equilibrium Constants A Selection of Chemical Thermodynamic Data Miscellaneous Liquids, Vapours and Gases International Standard Atmosphere SI - British Conversion Factors General Information Principal Sources

NOTATION AND UNITS

-

kW/m K kg/kmol bar -

kJ/kg K, kJ/kmol K kJ/kg K, kJ/kmol K K or "C K kJ/kg, kJ/kmol m3/kg, m3/kmol m

- velocity of sound -specific, molar heat capacity at constant p -specific, molar heat capacity at constant u - specific, molar Gibbs function (h - Ts, g- T?) -molar Gibbs function of reaction, of formation - specific, molar enthalpy (u + pu, ii + pi?) - molar enthalpy of reaction, of formation - equilibrium constant, of formation - thermal conductivity - molar mass -absolute pressure - Prandtl number (cpp/k) - specific, molar (universal) gas constant -specific, molar entropy -absolute temperature (K) or Celsius temperature ("C) -temperature interval or difference - specific, molar internal energy -specific, molar volume (lip, 1/p) -geometric altitude above sea level -ratio of specific heat capacities (cp/c, = Ep/E,) -mean free path -dynamic viscosity -kinematic viscosity (PIP) - mass, molar density (1/v, 116)

Subscripts c f g fg I

s

-refers to a property in the critical state -refers to a property of the saturated liquid, or to a value of formation -refers to a property of the saturated vapour -refers to a change of phase at constant p -refers to a property of the saturated solid -refers to a saturation temperature or pressure

Superscripts

-

8

refers to a molar property (i.e. per unit amount-of-substance) -refers to a property at standard pressure pe = 1 bar (the superscript o is often used)

-

Saturated Water and Steam T -

["Cl

Ps [bar]

cg

[m3/kgl

I

'I,

[kJ/kd

u and s are chosen to be zero for saturated liquid at the triple point.

Note: values of of can be found on p. 10.

s I.

sfp

[kJ/kg K ]

sg

Saturated Water and Steam

Saturated Water and Steam

Saturated Water and Steam

Superheated Steam?

t The entries in all tables are regarded as pure numbers and therefore the symbols for the physical quantities should be divided by the appropriate units as shown for the entries at p/[bar] = 4. Because of lack of space, this has not been done consistently in the superheat and supercritical tables on pp. 6-9 and in the tables on pp. 11 and 23.

Superheated Steam*

* See footnote on p. 6.

Superheated Steam*

PI[ bar1 (TJ[OCI) 80 (295.0)

v,

h, s,

90 (303.3)

v,

h, s,

100 (3 1 1.O) 110 (318.0)

v, h, s, v,

h, s,

120 (324.6)

v,

h, s,

130 (330.8) 140 (336.6)

o., h, s, v,

h, s,

150 (342.1)

v,

h, s,

160 (347.3)

v,

h, s,

170 (352.3) 180 (357.0)

v, h, s, u,

h, s,

190 (361.4)

v,

h, s,

200 (365.7)

v,

h, s,

210 (369.8)

v, h, s,

220 (373.7)

v,

h, s,

221.2 (374.15)

v,

h, s,

0.02352 2758 5.744 0.02048 2743 5.679 0.01802 2725 5.615 0.01 598 2705 5.553 0.01426 2685 5.493 0.01278 2662 5.433 0.01149 2638 5.373 0.01035 2611 5.312 0.00932 2582 5.248 0.00838 2548 5.181 0.00751 2510 5.108 0.00668 2466 5.027 0.00585 241 1 4.928 0.00498 2336 4.803 0.00368 2178 4.552 0.00317 2084 4.406

* See footnote on p. 6. Note: linear interpolation is not accurate near the critical point.

Supercritical Steam* P [bar]

-

---

-

* See footnote on p. 6.

General Information for H,O Triple point: Thermodynamic temperature (by definition) = 273.16K 2 0.01 "C2 491.688R 32.018"F (hence 0 "C 2 273.15 K, 0 G 459.67 R, 32 "F 2 491.67 R) Gas constant: R = = 8.3145/18.015 = 0.4615 kJ/kg K O

F

Compressed Water*

* See footnote on p. 6.

Saturated Ice and Steam

Isentropic Expansion of Steam-Approximate Relations Wet equilibrium expansion: pun = constant, with n x 1.035 +0.1x, for steam with an initial dryness fraction 0.7 < x, < 1.0 I

Superheated and supersaturated expansion: pun = constant and p/Tnfin-')= constant, with n x 1.3

Enthalpy drop

:;i:'j)([k;kg] =

SpeciJic volume of supersaturated steam:

[(?)

(n- 111s

- 1943)

- I]

Mercury - Hg [bar]

hf and sf are zero at 0 "C. Molar mass m = 200.59 kg/kmol; for superheated vapour c, = 0.1036 kJ/kg K; further properties of the liquid are given on p. 23.

Ammonia - NH, (Refrigerant 717) Superheat (T- T,) Saturation Values T

-

["C]

[bar]

[mJ/kg]

0.4089 0.5454 0.7177 0.9322 1.196 1.317 1.447 1.588 1.740 1.902 2.077 2.265 2.465 2.680 2.908 3.153 3.413 3.691 3.983 4.295 4.625 4.975 5.346 5.736 6.149 6.585 7.045 7.529 8.035 8.570 9.134 9.722 10.34 10.99 11.67 12.37 13.1 1 13.89 14.70 15.54 16.42 17.34 18.30 19.29 20.33

2.625 2.005 1.552 1.216 0.9633 0.8809 0.8058 0.7389 0.6783 0.6237 0.5743 0.5296 0.4890 0.4521 0.4185 0.3879 0.3599 0.3344 0.3110 0.2895 0.2699 0.251 7 0.2351 0.2198 0.2056 0.1926 0.1805 0.1693 0.1 590 0.1494 0.1405 0.1322 0.1245 0.1 173 0.1106 0.1044 0.0986 0.0931 0.0880 0'0833 0.0788 0.0746 0.0706 0.0670 0.0635

- 50 -45 -40 -35 - 30 -28 -26 -24 -22 - 20 - 18 - 16 - 14 - I2 - 10 - 8 - 6 - 4 - 2 0 2 4 6 8 10 I2 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50

Ps

I

Ifg

-

C,

I

,

i

1

, 1

1

-44.4 -22.3 0 22.3 44.7 53.6 62.6 71.7 80.8 89.8 98.8 107.9 117.0 126.2 135.4 144.5 153.6 162.8 172.0 181.2 190.4 199.7 209.1 218.5 227.8 237.2 246.6 256.0 265.5 275.1 284.6 294.1 303.7 313.4 323.1 332.8 342.5 352.3 362.1 371.9 381.8 391.8 401.8 41 1.9 421.9

-.I__--

1373.3 1381.6 1390.0 1397.9 1405.6 1408.5 1411.4 1414.3 1417.3 1420.0 1423.7 1425.3 1427.9 1430.5 1433.0 1435.3 1437.6 1439.9 1442.2 1444.4 1446.5 1448.5 1450.6 1452.5 1454.3 1456.1 1457.8 1459.5 1461.1 1462.6 1463.9 1465.2 1466.5 1467.8 1468.9 1469.9 1470.8 1471.8 1472.6 1473.3 1473.8 1474.2 1474.5 1474.7 1474.7

!'

1

1

-

1

h

sf sg [kJ/kg K1

-0.194 -0.096 0 0.095 0.188 0.224 0.261 0.297 0.333 0.368 1 0.404 0.440 0.475 0.510 0.544 0.579 0.613 0.647 0.681 0.715 0.749 0.782 0.816 0.849 0.881 0.914 0.947 0.979 1.012 1.044 1.076 1 1108 1.140 1.1 72 1 1.204 1.235 1.267 1.298 1.329 ' 1.360 1.391 1 1.422 , 1.453 j 1.484 1.515

100 K

50 K

-

-

s

[kJ/kgl [kJ!kg K l

6.159 6.057 5.962 5.872 5.785 5.751 5.718 5.686 5.655 5.623 5.593 5.563 5.533 5.504 5.475 5.447 5.419 5.392 5.365 1 5.340 5.314 5.288 5.263 5.238 5.213 5.189 5.165 5.141 5.1 18 5.095 5.072 5.049 5.027 5.005 1 4.984 4.962 / 4.940 1 4.919 4.898 4.877 4.856 4.835 4.814 4.793 1 4.773

1

1

I

1

1 /

/

1

1479.8 1489.3 1498.6 1507.9 1517.0 1520.7 1524.3 1527.9 1531.4 1534.8 1538.2 1541.7 1545.1 1548.5 1551.7 1554.9 1558.2 1561.4 1564.6 1567.8 1570.9 1574.0 1577.0 1580.1 1583.1 1586.0 1588.9 1591.7 1594.4 1597.2 1600.0 1602.7 1605.3 1608.0 1610.5 1613.0 161 5.4 1617.8 1620.1 1622.4 1624.6 1626.8 1629.0 1631.1 1633.1

6.592 6.486 6.387 6.293 6.203 6.169 6.135 6.103 6.071 6.039 6.008 5.978 5.948 5.919 5.891 5.863 5.836 5.808 5.782 5.756 5.731 5.706 5.682 5.658 5.634 5.61 1 5.588 5.565 5.543 5.521 5.499 5.418 5.458 5.437 5.417 5.397 5.378 5.358 5.340 5.321 5.302 5.284 5.266 5.248 5.230

A_.-

Critical point T, = 132.4 "C,p, = 1 13.0 bar. Molar mass 61= 17.030 kg/kmol; further properties of the liquid are given on p. 23.

Dichlorodifluoromethane- CF,CI, (Refrigerant 12) Superheat f T-- T,)

Saturation Values

15 K I

Molar mass rii = 120.91 kg/kmol; further properties of the liquid are given on p. 23.

30 K

Dry Air at Low Pressure at 1 atm

The values for air can also be used with reasonable accuracy for CO, N z and 0,. The values of the thermodynamic properties c,. and c, on pp. 16 and 17 are those at zero pressure. The values for the gases are quite accurate over a wide range of pressure, but those for the vapours increase appreciably with pressure. The transport properties ji and k for air are accurate over a wide range of pressure, except at such low pressures that the mean free path of the molecules is comparable to the distance between the solid surfaces containing the gas. At high temperatures ( > 1500K for air) dissociation becomes appreciable and pressure is a significant variable for both gases and vapuurs: the values on pp. 16 and 17 apply only to undissociated states.

Specific Heat Capacity c,/[kJ/kg K J of Some Gases and Vapours

The specific heat capacities of atomic H. N and 0 are given with adequate accuracy by r;, = 2.5 k where 1% is the molar mass of the trtotnic*species.

,~

Molar Properties of Some Gases and Vapours

+

By definition: = u' p6 and g" = K- TS gand ii are virtually independent of pressure and in the following will be treated as such: hence ii = 6-RT Sand g' are tabulated for states at the standard pressure p e = 1 bar and are denoted by 3" and g'". At any other pressure p, ?and g' at a given temperature T can be found from 2-5" = -8ln(plpe) 8-g'e - ( 6 - p ) - T(S-5") = + W ~ l n ( ~ / ~ " ) For individual gases and vapours, changes in Sand 8 between states (p,, TI)and (p2, T,) are given by 3,-a, = (s,-~;)+(s'; -s:)+(s:-s,) = (8; - ~ ~ ) - R l n ( ~ , / ~ , )

Bz-91

= (82-8;)+(gZe

-8Ef)+(Bf) - 8 1 ) = (82"-g';f)+a~2 l n ( p 2 l p " ) - a ~ 1n(pllpe) ~ For a constituent in a mixture, p, and p2 must be regarded as the partial pressures in the respective states. When performing calculations involving non-reacting mixtures, the datum states at which 6and 3 are arbitrarily put equal to zero are unimportant: in the foIlowing tables they are (1 bar, 298.15 K ) for 6 and (1 bar, 0.0 K ) for S. The datum states are important when chemical reactions are involved-see p. 20.

Carbon Dioxide (CO,)

ri5 = 44.010----

kmol

Water Vapour (H,O)

kg kmol

f i = 18.015-

Molar Properties of Some Gases and Vapours [kJ/kmol] [kJ/kmol]

[kJ/kmol K] [kJ/kmol]

I I

Hydrogen (H,)

6i = 2.016--

kmol

kg kmol

8 = 31.999-

I

[K]

[kJ/kmol]

[kJ/kmol]

[kJ/kmol K] [kl/kmol]

Carbon Monoxide (CO)

Nitrogen (N,)

G

kg kmol

= 28.0105-

kg kmol

i i i= 28.013-

Molar Properties of Some Gases and Vapours

5 = 17.0075-kg kmol

Hydroxyl ( O H )

1

1

Nitric Oxide ( N O )

k& A = 30.006 --

Ethylene Vapour (C2H4)

1%

kmol

I Methane Vapour (CH,)

- 10025 - 6 699 - 3368 0 67 3 862 13 129 24 673 38 179 53 27 1 69 609 86910 104 960 123600

- 10025 - 7 530 - 5031

0 149.39 172.47 186.15 186.37 197.25 215.88 232.4 1 247.45 261.18 273.76 285.31 295.93 305.75

2479 - 2427 536 8 141 18022 29 865 43 293 57 969 73 607 89 994 106970 -

I

ri7 = 16.043 -kmol - 10025 - 21638 - 37863 - 55499 - 55843 - 75038 -116400 -i61260 -209 270 -260i50 -313660 - 369 590 -427 720 -487 900

0 100 200 298.15

1

300 400 600 800 1000 1200 1400 1600 1800 2000

- 10519 - 7192 - 3 803

I

1

1 '

0 79 4883 17334 32849 50 664 70 254 91 199 113 180 135970 1 59 390

- 10519

- 8024 - 5466 - 2479 - 2415 - 1 557 1 2 346 26 197 42 350 60 276 79 558 99 878 121 010 142 760

= 28.054

0 180.44 303.85 219.22 219.49 233.24 258.24 280.47 300.30 318.13 334.27 348.94 362.36 374.69

---

kg kmol

10519 25236 44573 65362 - 65 767 - 88412 - 137610 - 191 520 - 249 640 -31 1 510 - 376 780 -445 120 -516270 - 589 990 -

-

The molar enthalpies of reaction, A%", on p. 21 are for a reference temperature of T = 298.15 K and are virtually independent of pressure. Corresponding values of Gibbs function of reaction, Aij". may be found from values of equilibrium constant K " using the relation

AQe(= gp" -8:)

=

. (Suffixes P and R refer to products and reactants)

-RTI~K"

The standard or thermodynamic equilihriurn constant is defined by Ke =

n i

(pi/pO)"l or

In K

O

In (pi/pe)'l

=

*

I

where vi are the stoichiometric coefficients, those for the products and reactants being taken as positive and negative respectively. The constant so defined is dimensionless.

,

Enthalpies of Reaction and Equilibrium Constants

I I

I !

Reaction (kmo1)-the values of AR" relate to the corresponding chemical equation with amounts of substance in kilomoles

I

1

I

!

C(s01)+ 0, -+ CO, CO+3O2 C 0 2 H, +to, -,H,O(vap) CH4(vap) 20, CO, + 2H20(vap) C,H4(vap) 30, 2C0, + 2H20(vap) C2H6(vap) 340, -,2C0, + 3H20(vap) C6H6(vap)+ 790, 6C02+ 3H20(vap) C,H ,(vap) 1290, 8C02+ 9H20(vap) CO, H, + CO + H,O(vap) tH, + O H -+ H,O(vap) )N, + 40, NO 2H -+ H, 2 0 0, 2N N,

- 393 520 - 282 990 - 241 830 -802 310 - 1 323 170 - 1 427 860 - 3 169540 - 5 116 180 +41 160 - 281 540 + 90 290 - 435 980 - 498 340 - 945 300

-+

, +

+ + + +

-+

-+

-+

-+

-+

-+

-+

At 298.15 K for H,O for C,H6 for C,H,,

p"

=

I 1.01325

1 bar = ----atm

&,

= 43 990 kJ/kmol of

AR"/[k~/kmol] at T = 298.15 K (25 "C)

H,O

5, = 33 800 kJ/kmol of C6H, hi, = 41 500 kJ/kmol of C,H ,,

(p")! = 0.99344 atm4

log,, K " = 0.43429 In K "

A Selection of Chemical Thermodynamic Data

at p* = 1 bar and To = 298.15 K tit

[kg/kmol] C (graphite) C (diamond) c (gas) CH4 (gas) C2H4 (gas) C o (gas) C02 (gas) I4 (gas) H2 (gas) OH (gas) H2Q (liq) H2O @PI N (gas) N2 (gas) NO (gas) 0 (gas) 0 2 (gas)

12.01 1 12.Q11 12.011 16.043 28.054 28.0105 44.0 10 1.008 2.016 17.005 1&0155 18.0155 14.0065 28:013 30.006 15.9995 31.999

ah:

4;

[kJ/kmol]

[kJ/kmolj

0 1 900 714 990 -74 870 52 470 -110530 -393 520 217 990 0 39 710 -285 820 -241830 472 650 0 90 290 249 170 0

0

2 870 669 570 -50810 68 350 -137 160 -394 390 203 290 0 35010 -237 150 -228 590 455500 0 86 600 231 750 0

In K; 0 -1.157 -270.098 20.498 -27.573 55.331 159.093 -82.003 0 -14.122 95.660 92.207 . - 183.740 0 -34.933 - 93.481

0

.so - t)

p+ Po [kJ/kmol K]

[kJ/kmol K]

8.53 6.06 20.84 35.64 42.89 29.14 37.13 20.79 28.84 29.99 75.32 33.58 20.79 29.21 29.84 21.91 29.37

5.69 2.44 158. I0 186.26 219.33 197.65 213.80 114.71 130.68 183.61 70.00 188.83 153.30 191.61 210.76 161.06 205.14

Reproduced from Rogers, G. F. C., and Mayhew, Y. R., Engineering Thermydt~namics,Work and Heat Transfer (Longman, 1992).

Miscellaneous Liquids, Vapours and Gases*

Ammonia (N H ,) sat. liquid t.p. = 195.4 K a = 17.030 kg/kmol

0.902 1468 ~ / l o - ~336 k/10-6 86.8

R-12 (CF2C12) sat. liquid t.p. = 1 15.3 K f i 120.91 kg/kmol

C~

P

-

0.980 1304 21 3 68.6

-

-

-

-

-.

-

--

-

--

~-

-

~

-

--

-.

~

-

---

- -

R-13421 (CH2F-CF3) sat. liquid t.p. = 169.85 K rii = 102.03 kg/kmol Mercury (Hg) liquid m.p. = 234.3 K f i = 200.59 kg/kmol Potassium (K) liquid m.p. 336.8 K fi = 39.098 kg/kmol

0.710 860 solid 0.099

Sodium (Na) liquid m.p. 370.5 K f i = 22.990 kg/kmol

1.224 967 solid 0.135

Sodium-Potassium 22%-78% eutectic liquid m.p. 262 K

C~

P

--

-

~ i / 1 0 - ~ solid k

0.977 869 780 0.0222

0.929 845 467 0.0236

Argon (Ar) 1 atm f i = 39.948 kg/kmol Carbon dioxide (CO,) 1 atm f i = 44.010 kg/kmol Helium (He) l atm f i = 4.003 kg/kmol

5.193 0.1951 / ~ / 1 0 - ~ 18.40 k/10-6 134.0

Hydrogen ( H , ) l atm fi = 2.016 kg/kmol

L'~

C~

P

P

p/1OP6 k/10-6

14.05 0.0983 7.92 156.1

Steam (H,O) low pressures fi = 18.01 5 kg/kmol

* See footnote on p. 6. The properties c,

11

and k (and p for liquids) d o not vary much with pressure; see also footnote on p. 16.

International Standard Atmosphere 11

[m 's]

Density at sea level y o = 1.2250 kg/m3

I

I

SI - British Conversion Factors The International System of Units (HMSO, 1986) may be consulted for the definitions of SI units, and British Standard 350 for comprehensive tables of conversion factors. Exact values are printed in bold type. Mass: 1 kg =

1 lb = 2.205 1b 0.453 592 37

1 Length: 1 m = -ft = 3.281 ft 0.3048

Volume: 1 m 3 = lo3dm 3 (litre) = 35.31 ft3 = 220.0 UK gal = 264.2 US gal

I

Temperature unit: 1 K = 1.8 R (see p. 11 for definitions of units and scales) Force: 1 N (or kg m/s2) = 10' dyn = =

1 9.806 65

7.233 7.233 pdl = -or 0.2248 lbf 32.174

Pressure: p: 1 bar = 10' N/m 2 (or Pa) = 14.50 lbf/in2 = 750 mmHg = 10.20 m H 2 0 Specific volume v : 1 m3/kg = 16.02 ft3/lb Density p : 1 kg/m3 = 0.062 43 lb/ft3 1 Energy: 1 kJ = lo3N m = -kcal,, 4.1868

Power: 1 kW = 1 kJ/s =

=

=

0.9478 Btu = 737.6 ft lbf

lo3 103 metric hp kgfm/s = 9.806 65 x 75 9.806 65

1 737.6 737.6 ft lbf/s = -or --- British hp = 3412 Btu/h 550 0.7457

Specific energy etc. (u, h): 1 kJ/kg

1

= --

2.326

Btu/lb = 0.4299 Btu/lb

1 Specific heat capacity etc. (c, R, s): 1 kJ/kg K = --- Btu/lb R = 0.2388 Btu/lb R 4.1868 Thermal conductivity k: 1 kW/m K = 577.8 Btu/ft h R Heat transfer coefficient: 1 kW/m2 K

=

176.1 Btu/ft2 h R

Dynamic viscosity p: 1 kg/m s = 1 N s/m2 = 1 Pa s = 10 dyn s/cm2 (or poise) = 2419 lb/ft h = 18.67 x pdl h/ft2 Kinematic viscosity v : 1 m 2/s = lo4cm2/s (or stokes) = 38 750 ft2/h

General Information Standard acceleration: y, = 9.806 65 m/s2 = 32.1740 ft/s2 Standard atmospheric pressure: 1 atm

= 1.013 25 bar

a

Molar (universal)gas constant: = 8.3145 kJ/kmol K t = 1.986 Btu/lb-mol R = 1545 ft Ibf/lb-mol R Molar volume: 17 = 22.41 m 3/kmol at 1 atm and 0°C = 359.0 ft3/lb-mol at 1 atm and 32°F Composition qfair:

vol. analysis 0.7809 0.2095 0.0093 0.0003

Nitrogen (N2- 28.01 3 kg/kmol) Oxygen (0,- 31.999 kg/kmol) Argon (Ar- 39.948 kg/kmol) Carbon dioxide (CO, - 44.010 kg/kmol) Molar mass 5 = 28.96 kg/kmol Specific gas constant R = 0.2871 kJ/kg K =0.06856Btu/lbR=53.35ftibf/lbR

11

grav. analysis 0.7553 0.2314 0.0 128 0.0005

See p. 16 for other properties

For approximate calculations with air: vol. analysis 0.79 0.2 1 3.76

N2- 28 kg/kmol 0, - 32 kg/kmol N2/02 Molar mass 6 = 29 kg/kmol Specific gas constant R = 0.287 kJ/kg K = 0.0685 Btu/lb R = 53.3 ft lbf/lb R c , = I .005 kJjkg K = 0.240 Btu/lb R cr=0.718kJ/kgK =0.1715Btu/ibR c,/c,, = *J = 1.40 7'hr Stejan-Boltzmann constant: a = 56.7 x 10-I, kW/m 2 K 4 = 0.171 x

grav. analysis 0.767 0.233 3.29

Btu/ft2 h R 4

? T h e kilomole (kmol)is the amount of substance of a system which contains as many elementary entities as there are atoms in 12 kg of carbon 12. The elementary entities must be specified, but for problems involving mixtures of gases and combustion they will be molecules or atoms.

PRINCIPAL SOURCES National Engineering Laboratory, Sream Tables 1964 (Her Majesty's Stationery Office 1964) (reproduced by courtesy of the Controller of Her Majesty's Stationery Office). ASHRAE Thermodynamic Properties of Refrigerants and ASHRAE Thermophysical Properties of Refrigerants (ASHRAE, 1969 and 1976). Hilsenrath, J., Beckett, C. W., Benedict, W. S., Fano, L., Hoge, H. J., Masi, J. F., Nuttall, R. L., Touloukian, Y. S., and Woolley, H. W., Tables of Thermal Properties of Gases (US. N.B.S. Circular 564, 1955, available from the Superintendent of Documents, Government Printing Office, Washington 25, D.C.). Rossini, F. D., Wagman, D. D., Evans, W. H., Levine, S., and Jaffe. I., Selected Values of Chemical Thermodynamic Properties (i bid. 500, 1952). Wagman, D. D., Selected Valued of Chemical Thermodynamic Properties (ibid., Tech. Note 270, 1965). Sheldon, L. A., Thermodynamic Properties of Mercury Vapour, Amer. Soc. Mech. Engrs. No. 49-A-30 (1949). Stull, D. R., and Prophet, H. (eds). Janaf Thermochemical Tables, The Dow Chemical Company, Midland, Michigan (U.S. G.P.O., 1971, Supplements 1974, 1975, 1978). Thermodynamic Properties of KLEA 134a (ICI private communication, 1994)

By the same authors Engineering Thermodynamics, Work and Heat Transfer (Longmans, 4th ed.). By H. Cohen, G . F. C. Rogers and H. I. H. Sarolvanamuttoo Gas Turbine Theory (Longmans, 4th ed.)

FOR USE WITH THESE TABLES Enthalpy-Entropy Diagram for Steam Prepared by D. C. Hickson and F. R. Taylor

NOTES

O 1995 by Blackwell Publishing Ltd BLACKWELL PUBLISHING

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