DEAN #37261 (McGHP) RIGHT INTERACTIVE top of rh PHYSICAL PROPERTIES 5.157 base of rh cap height TABLE 5.29 Van der Waals’ Constants for Gases base of text The van der Waals’ equation of state for a real gas is: na2 ͩͪP ϩ (V Ϫ nb) ϭ nRT for n moles V2 where P is the pressure, V the volume (in liters per mole ϭ 0.001 m3 per mole in the SI system), T the temperature (in degrees Kelvin), n the amount of substance (in moles), and R the gas constant. To use the values of a and b in the table, P must be expressed in the same units as in the gas constant. Thus, the pressure of a standard atmosphere may be expressed in the SI system as follows: 1 atm ϭ 101,325 N · mϪ2 ϭ 101,325 Pa ϭ 1.01325 bar The appropriate value for the gas constant is: 0.083 144 1 L · bar · KϪ1 · molϪ1 or 0.082 056 L · atm · KϪ1 · molϪ1 The van der Waals’ constants are related to the critical temperature and pressure, tc and Pc, in Table 6.5 by: 27 RT22 RT a ϭ ccand b ϭ 64 Pcc8 P Substance a,L2 · bar · molϪ2 b,L·molϪ1 Acetaldehyde 11.37 0.08695 Acetic acid 17.71 0.1065 Acetic anhydride 26.8 0.157 Acetone 16.02 0.1124 Acetonitrile 17.89 0.1169 Acetyl chloride 12.80 0.08979 Acetylene 4.516 0.05218 Acrylic acid 19.45 0.1127 Acrylonitrile 18.37 0.1222 Allene 8.235 0.07467 Allyl alcohol 15.17 0.1036 Aluminum trichloride 42.63 0.2450 2-Aminoethanol 7.616 0.0431 Ammonia 4.225 0.03713 Ammonium chloride 2.380 0.00734 Aniline 29.14 0.1486 Antimony tribromide 42.08 0.1658 Argon 1.355 0.03201 Arsenic trichloride 17.23 0.1039 Arsine 6.327 0.06048 Benzaldehyde 30.30 0.1553 Benzene 18.82 0.1193 Benzonitrile 33.89 0.1727 Benzyl alcohol 34.7 0.173 Biphenyl 47.16 0.2130 Bismuth trichloride 33.89 0.1025 Boron trichloride 15.60 0.1222 Boron trifluoride 3.98 0.05443 Bromine (Br2) 9.75 0.0591 Bromobenzene 28.96 0.1541 Bromochlorodifluoromethane 12.79 0.1055 Bromoethane 11.89 0.08406 Bromomethane 6.753 0.05390 short Bromotrifluoromethane 8.502 0.0891 standard long DEAN #37261 (McGHP) LEFT INTERACTIVE top of rh 5.158 SECTION 5 base of rh cap height TABLE 5.29 Van der Waals’ Constants for Gases (Continued) base of text Substance a,L2 · bar · molϪ2 b,L·molϪ1 1,2-Butadiene 12.76 0.1025 1,3-Butadiene 12.17 0.1020 Butanal 19.48 0.1292 Butane 13.93 0.1168 Butanenitrile 25.76 0.1568 Butanoic acid 28.18 0.1609 1-Butanol 20.90 0.1323 2-Butanol 20.94 0.1326 2-Butanone 19.97 0.1326 1-Butene 12.76 0.1084 cis-2-Butene 12.58 0.1066 trans-2-Butene 12.58 0.1066 3-Butenenitrile 25.76 0.1568 Butyl acetate 31.22 0.1919 1-Butylamine 19.41 0.1301 sec-Butylamine 18.37 0.1273 tert-Butylamine 17.78 0.1310 Butylbenzene 44.071 0.2378 sec-Butylbenzene 43.74 0.2347 tert-Butylbenzene 42.77 0.2310 Butyl benzoate 57.97 0.2857 Butylcyclohexane 41.19 0.2201 sec-Butylcyclohexane 48.89 0.2604 tert-Butylcyclohexane 48.34 0.2614 Butyl ethyl ether 27.05 0.1815 2-Butylhexadecafluorotetrahydrofuran 45.41 0.3235 1-Butyne 13.31 0.1023 2-Butyne 13.68 0.0998 Carbon dioxide 3.658 0.04284 Carbon disulfide 11.25 0.07262 Carbon monoxide 1.472 0.03948 Carbon oxysulfide (COS) 6.975 0.06628 Carbon tetrachloride 20.01 0.1281 Carbon tetrafluoride 4.029 0.06319 Carbonyl chloride 10.65 0.08340 Carbonyl sulfide 3.933 0.05817 Chlorine 6.343 0.05422 Chlorine pentafluoride 9.581 0.08214 Chlorobenzene 25.80 0.1454 1-Chlorobutane 23.22 0.1527 2-Chlorobutane 20.01 0.1370 1-Chloro-1,1-difluoroethane 11.91 0.1035 2-Chloro-1,1-difluoroethylene 10.49 0.09335 Chloroethane 11.7 0.090 Chloroform 15.34 0.1019 Chloromethane 7.566 0.06477 2-Chloro-2-methylpropane 18.98 0.1334 Chloropentafluoroacetone 17.08 0.1482 Chloropentafluorobenzene 29.53 0.1843 Chloropentafluoroethane 11.27 0.1137 1-Chloropropane 16.11 0.1141 2-Chloropropane 14.53 0.1068 Chlorotrifluoromethane 6.873 0.08110 short standard long DEAN #37261 (McGHP) RIGHT INTERACTIVE top of rh PHYSICAL PROPERTIES 5.159 base of rh cap height TABLE 5.29 Van der Waals’ Constants for Gases (Continued) base of text Substance a,L2 · bar · molϪ2 b,L·molϪ1 Chlorotrifluorosilane 7.994 0.09240 Chlorotrimethylsilane 22.58 0.1617 m-Cresol 31.86 0.1609 o-Cresol 28.33 0.1447 p-Cresol 28.11 0.1422 Cyanogen 7.803 0.06952 Cyclobutane 12.39 0.0960 Cycloheptane 27.20 0.1645 Cyclohexane 21.95 0.1413 Cyclohexanol 28.93 0.1586 Cyclohexanone 31.1 0.170 Cyclohexene 75.04 0.1339 Cyclopentane 16.94 0.1180 Cyclopentanone 75.84 0.1211 Cyclopentene 15.61 0.1097 Cyclopropane 8.293 0.07420 p-Cymene 43.65 0.2386 Decane 52.88 0.3051 Decanenitrile 34.71 0.1988 1-Decanol 57.45 0.2971 1-Decene 49.96 0.2888 Deuterium (normal) 0.2583 0.02397 Deuterium oxide 5.584 0.03090 Diborane (B2H6) 6.048 0.07437 Dibromodifluoromethane 15.69 0.1186 1,2-Dibromoethane 13.98 0.08664 1,2-Dibromotetrafluoroethane 20.45 0.1494 Dibutylamine 34.61 0.2030 Dibutyl ether 33.06 0.2017 Dibutyl sulfide 49.3 0.2702 1,2-Dichlorobenzene 34.59 0.1767 1,3-Dichlorobenzene 35.44 0.1846 1,4-Dichlorobenzene 34.64 0.1802 Dichlorodifluoromethane 10.45 0.09672 Dichlorodifluorosilane 11.34 0.1095 1,1-Dichloroethane 15.73 0.1072 1,2-Dichloroethane 17.0 0.108 1,1-Dichloroethylene 13.74 0.09893 trans-1,2-Dichloroethylene 13.63 0.09573 Dichlorofluoromethane 11.48 0.09060 Dichloromethane 12.44 0.08689 1,2-Dichloropropane 21.62 0.1335 Dichlorosilane 12.59 0.09992 1,1-Dichlorotetrafluoroethane 15.49 0.1318 1,2-Dichlorotetrafluoroethane 15.72 0.1338 Dideuterium oxide 5.535 0.03062 Diethanolamine 45.61 0.2273 Diethylamine 19.40 0.1383 1,4-Diethylbenzene 45.03 0.2439 Diethylene glycol 29.02 0.1519 Diethyl ether 17.46 0.1333 3,3-Diethylhexane 47.69 0.2707 3,4-Diethylhexane 47.93 0.2760 short standard long DEAN #37261 (McGHP) LEFT INTERACTIVE top of rh 5.160 SECTION 5 base of rh cap height TABLE 5.29 Van der Waals’ Constants for Gases (Continued) base of text Substance a,L2 · bar · molϪ2 b,L·molϪ1 3,3-Diethyl-2-methylpentane 47.20 0.2629 3,3-Diethylpentane 40.64 0.2374 Diethyl sulfide 22.85 0.1462 Difluoroamine 5.028 0.04446 cis-Difluorodiazine 3.043 0.03987 trans-Difluorodiazine 3.539 0.04851 1,1-Difluoroethane 9.691 0.08931 1,1-Difluoroethylene 6.000 0.07058 Difluoromethane 6.184 0.06268 Dihexyl ether 69.17 0.3752 Dihydrogen disulfide 16.15 0.1006 Diisopropyl ether 25.26 0.1836 Dimethoxyethane 21.65 0.1439 Dimethoxymethane 17.28 0.1195 N,N-Dimethoxyacetamide 30.19 0.1689 Dimethylamine 10.44 0.08510 N,N-Dimethylaniline 37.92 0.1967 2,2-Dimethylbutane 22.55 0.1644 2,3-Dimethylbutane 23.29 0.1660 2,3-Dimethyl-1-butene 22.59 0.2566 3,3-Dimethyl-1-butene 21.55 0.1567 2,3-Dimethyl-2-butene 23.83 0.1621 1,1-Dimethylcyclohexane 34.30 0.2068 cis-1,2-Dimethylcyclohexane 36.44 0.2143 trans-1,2-Dimethylcyclohexane 34.89 0.2086 cis-1,3-Dimethylcyclohexane 34.30 0.2068 trans-1,3-Dimethylcyclohexane 35.11 0.2093 cis-1,4-Dimethylcyclohexane 35.47 0.2114 trans-1,4-Dimethylcyclohexane 34.54 0.2086 1,1-Dimethylcyclopentane 25.37 0.1653 cis-1,2-Dimethylcyclopentane 27.04 0.1706 trans-1,2-Dimethylcyclopentane 25.67 0.1663 Dimethyl ether 8.690 0.07742 N,N-Dimethylformamide 23.57 0.1293 2,2-Dimethylheptane 41.29 0.2551 2,2-Dimethylhexane 34.87 0.2260 2,3-Dimethylhexane 35.24 0.2228 2,4-Dimethylhexane 34.97 0.2251 2,5-Dimethylhexane 35.49 0.2299 3,3-Dimethylhexane 34.72 0.2201 3,4-Dimethylhexane 35.06 0.2196 1,1-Dimethylhydrazine 14.69 0.1001 2,4-Dimethyl-3-isopentane 47.05 0.2729 Dimethyl oxalate 28.97 0.1644 2,2-Dimethylpentane 28.49 0.1951 2,3-Dimethylpentane 28.96 0.1921 2,4-Dimethylpentane 28.79 0.1974 3,3-Dimethylpentane 28.48 0.1892 2,3-Dimethylphenol 31.35 0.1545 2,4-Dimethylphenol 33.49 0.1687 2,5-Dimethylphenol 29.99 0.1512 2,6-Dimethylphenol 33.64 0.1710 3,4-Dimethylphenol 31.32 0.1529 short standard long DEAN #37261 (McGHP) RIGHT INTERACTIVE top of rh PHYSICAL PROPERTIES 5.161 base of rh cap height TABLE 5.29 Van der Waals’ Constants for Gases (Continued) base of text Substance a,L2 · bar · molϪ2 b,L·molϪ1 3,5-Dimethylphenol 40.92 0.2037 2,2-Dimethylpropane 17.17 0.1410 2,3-Dimethylpropane 23.13 0.1669 2,2-Dimethyl-1-propanol 22.25 0.1444 Dimethyl sulfide 13.34 0.09453 N,N-Dimethyl-1,2-toluidine 41.71 0.2225 1,4-Dioxane 19.29 0.1171 Diphenyl ether 54.61 0.2538 Diphenylmethane 60.46 0.2798 Dipropylamine 24.82 0.1591 Dipropyl ether 27.12 0.1821 Dodecafluorocyclohexane 25.09 0.1955 Dodecafluoropentane 25.58 0.2161 Dodecane 69.14 0.3741 1-Dodecanol 72.69 0.3598 1-Dodecene 68.17 0.3694 Ethane 5.570 0.06499 1,2-Ethanediamine 16.30 0.09796 Ethanethiol 13.23 0.09447 Ethanol 12.56 0.08710 Ethoxybenzene 35.70 0.1996 Ethyl acetate 20.57 0.1401 Ethyl acrylate 23.70 0.1530 Ethylamine 10.79 0.08433 Ethylbenzene 30.86 0.1782 Ethyl benzoate 43.73 0.2236 Ethyl butanoate 30.53 0.1922 Ethylcyclohexane 35.70 0.2089 Ethylcyclopentane 27.90 0.1746 3-Ethyl-2,2-dimethylhexane 47.24 0.2752 4-Ethyl-2,2-dimethylhexane 46.45 0.2784 3-Ethyl-2,3-dimethylhexane 47.35 0.2692 4-Ethyl-2,3-dimethylhexane 47.49 0.2742 3-Ethyl-2,4-dimethylhexane 47.31 0.2736 4-Ethyl-2,4-dimethylhexane 45.52 0.2613 3-Ethyl-2,5-dimethylhexane 47.42 0.2800 3-Ethyl-3,4-dimethylhexane 47.00 0.2682 Ethylene 4.612 0.05821 Ethylene glycol dimethyl ether 21.65 0.1439 Ethylene glycol ethyl ether acetate 33.97 0.05594 Ethylene oxide 8.922 0.06779 Ethyl formate 15.91 0.1115 3-Ethylhexane 35.76 0.2253 Ethyl mercaptan 11.24 0.08098 2-Ethyl-1-methylbenzene 40.66 0.2226 3-Ethyl-1-methylbenzene 41.67 0.2331 4-Ethyl-1-methylbenzene 40.63 0.2262 1-Ethyl-1-methylcyclopentane 34.18 0.2058 Ethyl methyl ether 12.70 0.1034 3-Ethyl-2-methylheptane 48.81 0.2847 Ethyl methyl ketone 20.13 0.1340 3-Ethyl-2-methylpentane 34.74 0.2183 3-Ethyl-2-methylpentane 34.53 0.2134 short standard long DEAN #37261 (McGHP) LEFT INTERACTIVE top of rh 5.162 SECTION 5 base of rh cap height TABLE 5.29 Van der Waals’ Constants for