International Scholarly Research Notices

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)
Model	Constants	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
Teja and Rice (15)	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
Rice and Teja (19)	SD	0.0643	0.0128	0.0039	0.1423	0.1183	0.1183	0.2210	0.1862	0.1874

(b)


Model	Constants	Ethanoic acid (1) + acetophenone (2)			Propanoic acid (1) + acetophenone (2)			Butanoic acid (1) + acetophenone (2)
Model	Constants	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
Teja and Rice (15)	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
Rice and Teja (19)	SD	0.1802	0.1131	0.0764	0.2090	0.1756	0.1678	0.1604	0.1024	0.1126