Research Article
Thermophysical Properties of Binary Liquid Systems of Ethanoic Acid, Propanoic Acid, and Butanoic Acid with Benzene or Acetophenone
Table 5
Interaction parameter/parameters for various models and standard deviation (SD) determined by least square method.
(a) |
| Model | Constants | Ethanoic acid (1) + benzene (2) | Propanoic acid (1) + benzene (2) | Butanoic acid (1) + benzene (2) | 298.15 K | 308.15 K | 318.15 K | 298.15 K | 308.15 K | 318.15 K | 298.15 K | 308.15 K | 318.15 K |
| McAllister (11) | | 0.6336 | 0.5291 | 0.6408 | 0.8286 | 0.7390 | 0.8245 | 1.0808 | 0.9825 | 0.9409 | | 0.5943 | 0.5347 | 0.3980 | 0.6163 | 0.5221 | 0.4268 | 0.7227 | 0.6129 | 0.6406 | SD | 0.0092 | 0.0161 | 0.0289 | 0.0105 | 0.0128 | 0.0128 | 0.0146 | 0.0108 | 0.0088 |
| Heric (13) | | −0.8692 | −0.8380 | −0.4591 | −0.2946 | −0.2916 | 0.0521 | −0.2445 | −0.1271 | 0.4815 | | −0.2173 | −0.3069 | 0.4582 | 0.1763 | 0.2640 | 0.7480 | 0.1390 | 0.2814 | 0.2095 | SD | 0.1357 | 0.2015 | 0.3185 | 0.1524 | 0.2269 | 0.3356 | 0.3258 | 0.2169 | 0.2614 |
| Krishnan and Laddha (17) | | 0.9275 | 0.9606 | 0.7031 | 0.3620 | 0.3859 | 0.0528 | 0.3173 | 0.1913 | −0.5399 | | 0.2536 | 0.3832 | −0.3062 | −0.1643 | −0.2472 | −0.7294 | −0.1430 | −0.2849 | −0.2063 | | −0.4145 | −0.8715 | −1.7348 | −0.4654 | −0.6512 | −0.7241 | −0.5103 | −0.4499 | 0.4099 | SD | 0.1468 | 0.1225 | 0.0701 | 0.0559 | 0.0502 | 0.0629 | 0.0595 | 0.0378 | 0.1101 |
| Auslander (14) | | −0.0168 | −0.0901 | 0.0523 | 1.8404 | 1.4898 | 1.9109 | 3.9322 | 2.5479 | 0.1292 | | 6.4585 | 8.2007 | 7.3214 | 6.5731 | 6.5502 | 5.6764 | 9.9261 | 6.0937 | 0.2803 | | 0.4409 | 0.2966 | −0.0996 | 0.0997 | 0.0271 | −0.2735 | 0.0896 | 0.0999 | 1.7186 | SD | 0.0041 | 0.0116 | 0.0121 | 0.0043 | 0.0051 | 0.0038 | 0.0074 | 0.0048 | 0.0010 |
| Teja and Rice (15) | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | SD | 0.0306 | 0.0224 | 0.0132 | 0.0101 | 0.0083 | 0.0131 | 0.0056 | 0.0139 | 0.0279 |
| Zihao and Jufu (18) | | 0.9377 | 0.9099 | 0.8985 | 0.9431 | 0.9413 | 0.9016 | 0.9343 | 0.8178 | 0.8038 | | 1.0684 | 1.1008 | 1.1162 | 1.0624 | 1.0636 | 1.1114 | 1.0709 | 1.2259 | 1.2473 | SD | 0.0081 | 0.0055 | 0.0049 | 0.0252 | 0.0256 | 0.0071 | 0.0858 | 0.0193 | 0.0111 |
| Two-parameter model (21) | | 0.0302 | 0.0304 | 0.0305 | −0.0053 | −0.0056 | −0.0069 | −0.0121 | −0.0118 | 0.0079 | | 0.0072 | 0.0061 | 0.0057 | 0.0061 | 0.0052 | 0.0038 | 0.0067 | 0.0096 | 0.0079 | SD | 0.0023 | 0.0019 | 0.0024 | 0.0055 | 0.0079 | 0.0023 | 0.0088 | 0.0088 | 0.0041 |
| Rice and Teja (19) | | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | SD | 0.0643 | 0.0128 | 0.0039 | 0.1423 | 0.1183 | 0.1183 | 0.2210 | 0.1862 | 0.1874 |
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(b) |
| Model | Constants | Ethanoic acid (1) + acetophenone (2) | Propanoic acid (1) + acetophenone (2) | Butanoic acid (1) + acetophenone (2) | 298.15 K | 308.15 K | 318.15 K | 298.15 K | 308.15 K | 318.15 K | 298.15 K | 308.15 K | 318.15 K |
| McAllister (11) | | 1.6072 | 1.4795 | 1.3403 | 1.5061 | 1.4196 | 1.3377 | 1.7139 | 1.6209 | 1.3511 | | 1.6910 | 1.4186 | 1.1794 | 1.7024 | 1.5097 | 1.3028 | 1.7471 | 1.6208 | 1.5934 | SD | 0.0006 | 0.0006 | 0.0069 | 0.0034 | 0.0071 | 0.0082 | 0.0013 | 0.0034 | 0.0120 |
| Heric (13) | | 0.7141 | 0.9027 | 1.2314 | 0.6855 | 0.9560 | 1.3476 | 0.2817 | 0.7089 | 1.2371 | | 0.1271 | 0.2502 | 0.3406 | 0.0584 | 0.1214 | 0.1976 | 0.0134 | 0.0417 | −0.2198 | SD | 0.3671 | 0.1578 | 0.2654 | 0.3963 | 0.1814 | 02120 | 0.6821 | 0.3761 | 0.0201 |
| Krishnan and Laddha (17) | | −0.7161 | −0.9048 | −1.1986 | −0.6742 | −0.9286 | −1.3101 | −0.2854 | −0.7014 | −1.1893 | | −0.1293 | −0.2525 | −0.3052 | −0.0511 | −0.1036 | −0.1733 | −0.0147 | −0.0392 | 0.2360 | | 0.0149 | 0.0160 | −0.2399 | −0.0803 | −0.1955 | −0.2679 | 0.0262 | −0.0528 | −0.3361 | SD | 0.3071 | 0.3478 | 0.4162 | 0.2904 | 0.3731 | 0.4819 | 0.1301 | 0.3097 | 0.4936 |
|
Auslander (14) | | −0.0265 | −0.8582 | −3.1960 | −0.1986 | −0.9382 | −3.3948 | −1.9043 | −7.8002 | −21.0019 | | 1.5819 | 2.0665 | 1.2531 | 0.5603 | 0.6151 | 0.9108 | 1.2163 | 1.0309 | 0.5851 | | 1.2206 | 1.3443 | 4.5532 | 3.3567 | 4.7933 | 6.0789 | 2.8998 | 9.5205 | 39.1308 | SD | 0.0002 | 0.0008 | 0.002 | 0.0002 | 0.0005 | 0.0001 | 0.0001 | 0.0026 | 0.0029 |
| Teja and Rice (15) | | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | SD | 0.0284 | 0.0070 | 0.0146 | 0.0029 | 0.0324 | 0.0411 | 0.0826 | 0.0137 | 0.0178 |
| Zihao and Jufu (18) | | 0.8333 | 0.9319 | 0.8198 | 0.4586 | 0.4317 | 0.3288 | 1.2367 | 1.2653 | 1.3189 | | 1.0468 | 0.9544 | 1.0082 | 1.5047 | 1.5256 | 0.4304 | 0.8074 | 0.7899 | 0.7593 | SD | 0.0779 | 0.0395 | 0.0405 | 0.0474 | 0.0465 | 0.2786 | 0.1261 | 0.1209 | 0.1292 |
| Two-parameter model (21) | | 0.3968 | 0.4167 | 0.4557 | 0.3096 | 0.3329 | 0.3509 | 0.2215 | 0.2365 | 0.2478 | | 0.0643 | 0.0865 | 0.0764 | −0.0738 | −0.0893 | −0.1025 | 0.0989 | 0.1033 | 0.1075 | SD | 0.0666 | 0.0599 | 0.0402 | 0.0298 | 0.0403 | 0.0983 | 0.0493 | 0.0557 | 0.0513 |
| Rice and Teja (19) | | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | 1.05 | SD | 0.1802 | 0.1131 | 0.0764 | 0.2090 | 0.1756 | 0.1678 | 0.1604 | 0.1024 | 0.1126 |
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