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Relative volatility

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A liquid mixture containing two components is called a binary mixture. When a binary mixture is distilled, complete separation of the two components is rarely achieved. Typically, the overhead fraction from the distillation column consists predominantly of the more volatile component and some small
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A liquid mixture containing many components is called a multi-component mixture. When a multi-component mixture is distilled, the overhead fraction and the bottoms fraction typically contain much more than one or two components. For example, some intermediate products in an
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have been correlated empirically or theoretically in terms of temperature, pressure and phase compositions in the form of equations, tables or graph such as the well-known
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amount of the less volatile component and the bottoms fraction consists predominantly of the less volatile component and some small amount of the more volatile component.
777: 755:= 1 and separation of the two by distillation would be impossible under the given conditions because the compositions of the liquid and the vapor phase are the same ( 753: 733: 671: 260: 49: 559: 499: 446: 389: 332: 631: 1058: 1032: 711: 691: 651: 603: 521: 468: 415: 358: 302: 282: 872: 1216: 111: 1571: 1290: 1567: 585:
When their liquid concentrations are equal, more volatile components have higher vapor pressures than less volatile components. Thus, a
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values are widely used in the design of large-scale distillation columns for distilling multi-component mixtures in oil refineries,
1121: 863:(or a higher vapor pressure) and a heavier component means a component with a higher boiling point (or a lower vapor pressure). 1577: 1393: 833:
An overhead fraction containing predominantly the more volatile components ranging from methane (having one carbon atom) to
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having ten carbon atoms. For distilling such a mixture, the distillation column may be designed (for example) to produce:
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components from the less volatile components in a mixture. By convention, relative volatility is usually denoted as
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The designer would designate the key components governing the separation design to be propane as the so-called
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of the components in a liquid mixture of chemicals. This quantity is widely used in designing large industrial
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Large-scale industrial distillation is rarely undertaken if the relative volatility is less than 1.05.
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Thus, for the distillation of any multi-component mixture, the relative volatility is often defined as
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Relative volatilities are used in the design of all types of distillation processes as well as other
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processes. In effect, it indicates the ease or difficulty of using distillation to separate the more
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Relative volatilities are not used in separation or absorption processes that involve components
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A bottoms fraction containing predominantly the less volatile components ranging from
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is a unitless quantity. When the volatilities of both key components are equal,
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increases above 1, separation by distillation becomes progressively easier.
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Schematic diagram of a typical large-scale industrial distillation column
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value of the more volatile component is in the numerator and the smaller
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Such a distillation column is typically called a depropanizer.
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are multi-component liquid mixtures that may contain the
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with each other (for example, the absorption of gaseous
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of the less volatile component is in the denominator.
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value for a less volatile component. That means that
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Prog. Symposium Series 66:and liquid phases in a series of 576:vapor-liquid distribution ratio 393:= the vapor–liquid equilibrium 284:to the less volatile component 1248: 958: 924: 919: 885: 855:and isobutane as the so-called 548: 534: 185: 157: 152: 124: 1: 1232:Separation Process Principles 1182:(7th ed.). McGraw-Hill. 1152:(1st ed.). McGraw-Hill. 1132: 1072:plants and other industries. 88: 7: 1075: 837:(having three carbon atoms) 673:≥ 1 since the larger 527: 474: 421: 364: 340:mole fraction of component 307: 242: 234: 19:is a measure comparing the 10: 1619: 1598:Engineering thermodynamics 1254:DePriester, C. L. (1953), 567:constant (also called the 562: 502: 449: 392: 335: 263: 1455: 1429: 1379: 1371:Thermodynamic equilibrium 1306: 1146:Kister, Henry Z. (1992). 1524:Distribution coefficient 1468:Hammett acidity function 1447:Liquid–liquid extraction 1356:Le Chatelier's principle 338:vapor–liquid equilibrium 81:in aqueous solutions of 1578:Distillation Principals 1087:Fractional distillation 1082:Continuous distillation 772:{\displaystyle \alpha } 748:{\displaystyle \alpha } 728:{\displaystyle \alpha } 666:{\displaystyle \alpha } 255:{\displaystyle \alpha } 44:{\displaystyle \alpha } 1485:Coordination complexes 1421:Thermodynamic activity 1127:Volatility (chemistry) 1070:natural gas processing 1054: 1028: 1002: 787: 773: 749: 729: 707: 687: 667: 647: 627: 599: 555: 517: 495: 464: 442: 411: 385: 354: 328: 298: 278: 256: 223: 45: 1497:Dissociation constant 1442:Equilibrium unfolding 1329:Equilibrium chemistry 1055: 1029: 1003: 785: 774: 750: 730: 708: 688: 668: 648: 628: 600: 556: 554:{\displaystyle (y/x)} 518: 496: 494:{\displaystyle x_{j}} 465: 443: 441:{\displaystyle y_{j}} 412: 386: 384:{\displaystyle x_{i}} 355: 329: 327:{\displaystyle y_{i}} 299: 279: 257: 224: 46: 1406:Predominance diagram 1389:Equilibrium constant 1112:McCabe–Thiele method 1097:Fractionation column 1044: 1018: 873: 763: 759:). As the value of 739: 719: 697: 677: 657: 637: 609: 589: 531: 523:in the liquid phase 507: 478: 454: 425: 417:in the liquid phase 401: 368: 344: 311: 288: 268: 246: 112: 35: 1568:Distillation Theory 1480:Binding selectivity 1456:Specific equilibria 1366:Reversible reaction 1324:Dynamic equilibrium 1300:Chemical equilibria 1234:. New York: Wiley. 1149:Distillation Design 1092:Vacuum distillation 626:{\displaystyle y/x} 470:in the vapor phase 360:in the vapor phase 17:Relative volatility 1490:Macrocyclic effect 1314:Chemical stability 1208:has generic name ( 1050: 1024: 998: 788: 769: 745: 725: 703: 683: 663: 643: 623: 595: 551: 513: 491: 460: 438: 407: 381: 350: 324: 294: 274: 252: 219: 68:equilibrium stages 41: 1580:by Ming T. Tham, 1558: 1557: 1536:Common-ion effect 1463:Acid dissociation 1416:Reaction quotient 1334:Equilibrium stage 1107:Theoretical plate 1053:{\displaystyle K} 1036:DePriester charts 1027:{\displaystyle K} 962: 706:{\displaystyle K} 686:{\displaystyle K} 646:{\displaystyle K} 598:{\displaystyle K} 583: 582: 579:) of a component 516:{\displaystyle j} 463:{\displaystyle j} 410:{\displaystyle i} 353:{\displaystyle i} 297:{\displaystyle j} 277:{\displaystyle i} 189: 1610: 1475:Binding constant 1361:Phase separation 1293: 1286: 1279: 1270: 1269: 1263: 1252: 1246: 1245: 1227: 1221: 1220: 1213: 1207: 1203: 1201: 1193: 1173: 1164: 1163: 1143: 1059: 1057: 1056: 1051: 1033: 1031: 1030: 1025: 1007: 1005: 1004: 999: 997: 996: 984: 979: 978: 963: 961: 957: 956: 944: 939: 938: 922: 918: 917: 905: 900: 899: 883: 778: 776: 775: 770: 754: 752: 751: 746: 734: 732: 731: 726: 712: 710: 709: 704: 692: 690: 689: 684: 672: 670: 669: 664: 652: 650: 649: 644: 632: 630: 629: 624: 619: 604: 602: 601: 596: 560: 558: 557: 552: 544: 522: 520: 519: 514: 500: 498: 497: 492: 490: 489: 469: 467: 466: 461: 447: 445: 444: 439: 437: 436: 416: 414: 413: 408: 390: 388: 387: 382: 380: 379: 359: 357: 356: 351: 333: 331: 330: 325: 323: 322: 303: 301: 300: 295: 283: 281: 280: 275: 261: 259: 258: 253: 232: 228: 226: 225: 220: 218: 217: 208: 203: 202: 190: 188: 184: 183: 174: 169: 168: 155: 151: 150: 141: 136: 135: 122: 83:sodium hydroxide 50: 48: 47: 42: 1618: 1617: 1613: 1612: 1611: 1609: 1608: 1607: 1588: 1587: 1564: 1559: 1554: 1507:Self-ionization 1451: 1437:Buffer solution 1425: 1375: 1302: 1297: 1267: 1266: 1253: 1249: 1242: 1228: 1224: 1214: 1205: 1204: 1195: 1194: 1190: 1174: 1167: 1160: 1144: 1140: 1135: 1117:Fenske equation 1078: 1066:chemical plants 1045: 1042: 1041: 1019: 1016: 1015: 989: 985: 980: 971: 967: 949: 945: 940: 931: 927: 923: 910: 906: 901: 892: 888: 884: 882: 874: 871: 870: 764: 761: 760: 740: 737: 736: 720: 717: 716: 698: 695: 694: 678: 675: 674: 658: 655: 654: 638: 635: 634: 615: 610: 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1124: 1119: 1114: 1109: 1104: 1099: 1094: 1089: 1084: 1077: 1074: 1049: 1023: 1014:The values of 1009: 1008: 995: 992: 988: 983: 977: 974: 970: 966: 960: 955: 952: 948: 943: 937: 934: 930: 926: 921: 916: 913: 909: 904: 898: 895: 891: 887: 881: 878: 857:heavy key (HK) 853:light key (LK) 846: 845: 838: 768: 744: 724: 702: 682: 662: 642: 622: 618: 614: 594: 581: 580: 561: 550: 547: 543: 539: 536: 525: 524: 512: 501: 488: 484: 472: 471: 459: 448: 435: 431: 419: 418: 406: 391: 378: 374: 362: 361: 349: 334: 321: 317: 305: 304: 293: 273: 262: 251: 240: 239: 236: 230: 229: 216: 212: 207: 201: 197: 193: 187: 182: 178: 173: 167: 163: 159: 154: 149: 145: 140: 134: 130: 126: 120: 117: 95:binary mixture 90: 87: 79:carbon dioxide 40: 9: 6: 4: 3: 2: 1615: 1604: 1601: 1599: 1596: 1595: 1593: 1583: 1579: 1576: 1573: 1569: 1566: 1565: 1549: 1546: 1545: 1544: 1541: 1537: 1534: 1533: 1532: 1529: 1525: 1522: 1521: 1520: 1517: 1513: 1510: 1509: 1508: 1505: 1503: 1500: 1498: 1495: 1491: 1488: 1487: 1486: 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928: 914: 911: 907: 902: 896: 893: 889: 879: 876: 869: 868: 867: 864: 862: 861:boiling point 858: 854: 849: 843: 839: 836: 832: 831: 830: 828: 824: 821: 817: 814:ranging from 813: 810: 806: 802: 798: 792: 784: 780: 766: 758: 742: 722: 714: 700: 680: 660: 640: 620: 616: 612: 592: 578: 577: 572: 571: 566: 545: 541: 537: 526: 510: 486: 482: 473: 457: 433: 429: 420: 404: 397:of component 396: 395:mole fraction 376: 372: 363: 347: 339: 319: 315: 306: 291: 271: 249: 241: 237: 233: 214: 210: 205: 199: 195: 191: 180: 176: 171: 165: 161: 147: 143: 138: 132: 128: 118: 115: 108: 107: 106: 104: 100: 97:) at a given 96: 86: 84: 80: 76: 71: 69: 65: 61: 57: 52: 38: 30: 26: 22: 18: 1603:Distillation 1543:Vapor–liquid 1430:Applications 1262:, pages 1-43 1259: 1255: 1250: 1231: 1225: 1177: 1147: 1141: 1040: 1013: 1010: 865: 856: 852: 850: 847: 812:hydrocarbons 797:oil refinery 793: 789: 715: 584: 575: 574: 569: 568: 94: 92: 72: 53: 25:distillation 16: 15: 1548:Henry's law 1339:Free energy 818:having one 565:Henry's law 99:temperature 1592:Categories 1531:Solubility 1502:Hydrolysis 1411:Phase rule 1133:References 89:Definition 60:absorption 56:separation 1519:Partition 1349:Helmholtz 1319:Chelation 1198:cite book 877:α 842:isobutane 767:α 757:azeotrope 743:α 723:α 661:α 605:value (= 250:α 116:α 39:α 1512:of water 1307:Concepts 1076:See also 103:pressure 75:reacting 29:volatile 835:propane 827:decanes 816:methane 570:K value 238:  235:where: 1381:Models 1238:  1186:  1156:  820:carbon 809:alkyne 805:alkene 801:alkane 336:= the 1344:Gibbs 1258:, 7, 64:vapor 1236:ISBN 1217:link 1210:help 1184:ISBN 1154:ISBN 1064:and 823:atom 807:and 101:and 825:to 573:or 85:). 58:or 1594:: 1260:49 1202:: 1200:}} 1196:{{ 1168:^ 1068:, 1038:. 803:, 563:= 70:. 51:. 1292:e 1285:t 1278:v 1244:. 1219:) 1212:) 1192:. 1162:. 1048:K 1022:K 994:K 991:H 987:K 982:/ 976:K 973:L 969:K 965:= 959:) 954:K 951:H 947:x 942:/ 936:K 933:H 929:y 925:( 920:) 915:K 912:L 908:x 903:/ 897:K 894:L 890:y 886:( 880:= 701:K 681:K 641:K 621:x 617:/ 613:y 593:K 549:) 546:x 542:/ 538:y 535:( 511:j 487:j 483:x 458:j 434:j 430:y 405:i 377:i 373:x 348:i 320:i 316:y 292:j 272:i 215:j 211:K 206:/ 200:i 196:K 192:= 186:) 181:j 177:x 172:/ 166:j 162:y 158:( 153:) 148:i 144:x 139:/ 133:i 129:y 125:( 119:=

Index

vapor pressures
distillation
volatile
separation
absorption
vapor
equilibrium stages
reacting
carbon dioxide
sodium hydroxide
temperature
pressure
vapor–liquid equilibrium
mole fraction
Henry's law
azeotrope

oil refinery
alkane
alkene
alkyne
hydrocarbons
methane
carbon
atom
decanes
propane
isobutane
boiling point
DePriester charts

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