Create the T-xy diagram: Using vapor pressure data from Appendix B.4, prepare a complete T-xy diagram for the binary system ethylbenzene and o-xylene at a system pressure of 0.8 atm. Be sure to show sufficient detail of your calculations (by hand, in an EXCEL spreadsheet, or in PolyMath). Your T-xy diagram should have mole fractions of the more volatile component on the x-axis. Roughly estimate how many equilibrium stages would be required in a distillation tower to achieve a distillate of 90% ethylbenzene, if one started with a feed mixture of 40% ethylbenzene / 60% o-xylene.

TABLE B.4 Antoine Equation Constants B logio p = A T+C p in mm Hg, T in C Example: The vapor pressure of acetaldehyde at 25C is determined as follows: 1600.017 log10 P4,0 (25C) = 8.00552 = 2.9551 25 + 291.809 PCH0 (25C) = 102.9551 - 902 mm Hg Compound Formula Range (C) A B Acetaldehyde CHO -0.2 to 34.4 8.00552 1600.017 291.809 Acetic acid C2H4O2 29.8 to 126.5 7.38782 1533.313 222.309 Acetic acid C2H4O2 O to 36 7.18807 1416.7 225 Acetic anhydride CH_03 62.8 to 139.4 7.14948 1444.718 199.817 Acetone CHO -- 12.9 to 55.3 7.11714 1210.595 229,664 Acrylic acid C3H2O2 20.0 to 70.0 5.65204 648.629 154.683 Ammonia* NH -83 to 60 7.55466 1002.711 247.885 Aniline CHN 102.6 to 185.2 7.32010 1731.515 206.049 Benzene CH 14.5 to 80.9 6.89272 1203.531 219.888 n-Butane n-C,H, - 78.0 to -0.3 6.82485 943.453 239.711 i-Butane i-CH10 -85.1 to - 11.6 6.78866 899.617 241.942 1-Butanol C4H100 89.2 to 125.7 7.36366 1305.198 173.427 2-Butanol CH100 72.4 to 107.1 7.20131 1157.000 168.279 1-Butene CH - 77.5 to -3.7 6.53101 810.261 228.066 Butyric acid C4H8O2 20.0 to 150.0 8.71019 2433.014 255.189 Carbon disulfide 3.6 to 79.9 6.94279 1169.110 241.593 Carbon tetrachloride CCL 14.1 to 76.0 6.87926 1212.021 226.409 Chlorobenzene C.HSC 62.0 to 131.7 6.97808 1431.053 217.550 Chlorobenzene* C.HCI 0 to 42 7.10690 1500.0 224.0 Chlorobenzene* C.HSCI 42 to 230 6.94504 1413.12 216.0 Chloroform CHCI -10.4 to 60.3 6.95465 1170.966 226.232 Chloroform* CHCI - 30 to 150 6.90328 1163.03 227.4 Cyclohexane CH12 19.9 to 81.6 6.84941 1206.001 223.148 Cyclohexanol C.H120 93.7 to 160.7 6.25530 912.866 109.126 n-Decane n-C10H22 94.5 to 175.1 6.95707 1503.568 194.738 1-Decene CoH20 86.8 to 171.6 6.95433 1497.527 197.056 1.1-Dichloroethane C2H4Cl2 38.8 to 17.6 6.97702 1174.022 229.060 1,2-Dichloroethane CH4Cl2 -30.8 to 99.4 7.02530 1271.254 222.927 Dichloromethane CH,CI2 -40.0 to 40 7.40916 1325.938 252.616 Diethyl ether CH10 60.8 to 19.9 6.92032 1064.066 228.799 Diethyl ketone CH10 56.5 to 111.3 7.02529 1310.281 214.192 Diethylene glycol CH1002 130.0 to 243.0 7.63666 1939.359 162.714 Dimethyl ether CHO - 78.2 to - 24.9 6.97603 889.264 241.957 Dimethylamine CH N - 71.8 to 6.9 7.08212 960.242 221.667 N.N-Dimethylformamide CH,NO 30.0 to 90.0 6.92796 1400.869 196.434 1,4-Dioxane CH8O2 20.0 to 105.0 7.43155 1554.679 240.337 Ethanol CHO 19.6 to 93.4 8.11220 1592.864 226.184 Ethanolamine CH,NO 65.4 to 170.9 7.45680 1577.670 173.368 Ethyl acetate CH3O2 15.6 to 75.8 7.10179 1244.951 217.881 Ethyl acetate* CHO -20 to 150 7.09808 1238.710 217.0 Ethyl chloride CHCI -55.9 to 12.5 6.98647 1030.007 238.612 Ethylbenzene CH10 56.5 to 137.1 6.95650 1423.543 213.091 CS2 Range (C) B C CH2 TABLE B.4 (Continued) Compound Formula Ethylene glycol CHO Ethylene oxide CHO 1,2-Ethylenediamine CHON Formaldehyde HCHO Formic acid CH2O2 Glycerol CH:03 n-Heptane n-CH16 i-Heptane i-CH6 1-Heptene CH4 n-Hexane n-CH4 i-Hexane i-CH4 1-Hexene Hydrogen Cyanide HCN Methanol CH,OH Methanol* CH,OH Methyl acetate CH.02 Methyl bromide CH:Br Methyl chloride CHCI Methyl ethyl ketone CHO Methyl isobutyl ketone CH120 Methyl methacrylate C3H8O2 Methylamine CHEN Methylcyclohexane CH14 Naphthalene GoHS Nitrobenzene CH NO2 Nitromethane CH:NO2 n-Nonane 1-CH20 1-Nonene C,H18 n-Octane 1-C3H8 i-Octane i-C8H18 1-Octene CH6 n-Pentane 11-CH2 i-Pentane i-CH2 1-Pentanol CH 20 1-Pentene CH10 Phenol C.H.O 1-Propanol CHO 2-Propanol CHO Propionic acid CH,O2 Propylene oxide CH, Pyridine CHN Styrene CH Toluene s 1,1,1-Trichloroethane CH3C13 1,1,2-Trichloroethane CHCI Trichloroethylene CHCI Vinyl acetate CHO Water* ,0 Water* HO m-Xylene m-CH10 o-Xylene 0-CH10 p-Xylene p-CH10 50.0 to 200.0 0.3 to 31.8 26.5 to 117.4 109.4 to - 22.3 37.4 to 100,7 183.3 to 260.4 25.9 to 99.3 18.5 to 90.9 21.6 to 94.5 13.0 to 69.5 12.8 to 61.1 15.9 to 64.3 16.4 to 46.2 14.9 to 83.7 -20 to 140 1.8 to 55.8 - 70.0 to 3.6 - 75.0 to 5.0 42.8 to 88.4 21.7 to 116.2 39.2 to 89.2 -83.1 to -6.2 25.6 to 101.8 80.3 to 179.5 134.1 to 210.6 55.7 to 136.4 70.3 to 151.8 66.6 to 147.9 52.9 to 126.6 41.7 to 118.5 44.9 to 122.2 13.3 to 36.8 16.3 to 28.6 74.7 to 156.0 12.8 to 30.7 107.2 to 181.8 60.2 to 104.6 52.3 to 89.3 72.4 to 128.3 -24.2 to 34.8 67.3 to 152.9 29.9 to 144.8 35.3 to 111.5 5.4 to 16.9 50.0 to 113.7 17.8 to 86.5 21.8 to 72.0 0 to 60 60 to 150 59.2 to 140.0 63.5 to 145.4 58.3 to 139.3 8.09083 2088.936 8.69016 2005.779 7.16871 1336.235 7.19578 970.595 7.58178 1699.173 6.16501 1036.056 6.90253 1267.828 6.87689 1238.122 6.91381 1265.120 6.88555 1175.817 6.86839 1151.401 6.86880 1154.646 7.52823 1329.49 8.08097 1582.271 7.87863 1473.11 7.06524 1157.630 7.09084 1046.066 7.09349 948.582 7.06356 1261.339 6.67272 1168.408 8.40919 2050.467 7.33690 1011.532 6.82827 1273.673 7.03358 1756.328 7.11562 1746.586 7.28166 1446.937 6.93764 1430.459 6.95777 1437.862 6.91874 1351.756 6.88814 1319.529 6.93637 1355.779 6.84471 1060.793 6.73457 992.019 7.18246 1287.625 6.84268 1043.206 7.13301 1516.790 7.74416 1437.686 7.74021 1359.517 7.71423 1733.418 7.01443 1086.369 7.04115 1373.799 7.06623 1507.434 6.95805 1346.773 8.64344 2136.621 6.95185 1314.410 6.51827 1018.603 7.21010 1296.130 8.10765 1750.286 7.96681 1668.210 7.00646 1460.183 7.00154 1476,393 6.98820 1451.792 203.454 334.765 194.366 244.124 260.714 28.097 216.823 219.783 220.051 224.867 228.477 226.046 260.418 239.726 230.0 219.726 244.914 249.336 221.969 191.944 274.369 233.286 221.723 204.842 201.783 227.600 201.808 205.814 209.100 211.625 213.022 231.541 229.564 161.330 233.344 174.954 198.463 197.527 217.724 228.594 214.979 214.985 219.693 302.769 209.197 192.731 226,655 235.000 228.000 214.827 213.872 215.111