Computation of Isobaric Vapor-Liquid Equilibrium Data for Binary and Ternary Mixtures of Methanol, Water, and Ethanoic Acid from 𝑇, 𝑝, 𝑥, and 𝐻^𝐸_𝑚 Measurements

Table 3

VLE data for the methanol (1) + water (2), methanol (1) + ethanoic acid (2), and water (1) + ethanoic acid (2). Three binary systems at 101.325 kPa: liquid-phase mole fraction 𝑥₁, experimental boiling point temperature 𝑇_exp, calculated bubble point temperature 𝑇_cal, vapor-phase mole fraction 𝑦₁, activity coefficients 𝛾₁ and 𝛾₂ using NRTL equation correlation, fugacity coefficients 𝜑^𝑉₁ and 𝜑^𝑉₂, and molar excess enthalpies of mixing of the liquid phase 𝐻^𝐸_𝑚.

𝑥1	𝑇exp/K	𝑇cal/K	𝑦1	𝛾1	𝜑^𝑉1	𝛾2	𝜑^𝑉2	𝐻^𝐸𝑚/J·mol^−1
Methanol (1) + water (2)
0.0000	373.15	373.15	0.0000			1.0000	0.9882	0.00
0.0484	366.00	365.54	0.2704	2.1436	0.9852	1.0034	0.9875	225.74
0.0539	365.05	364.88	0.3009	2.1147	0.9849	1.0042	0.9875	248.74
0.0607	364.40	364.12	0.3213	2.0799	0.9846	1.0053	0.9874	276.88
0.0696	363.50	363.19	0.3492	2.0358	0.9843	1.0069	0.9874	312.53
0.0806	362.25	362.13	0.3866	1.9835	0.9839	1.0092	0.9873	354.36
0.0911	361.35	361.21	0.4126	1.9360	0.9836	1.0117	0.9872	392.94
0.1056	360.05	360.05	0.4492	1.8739	0.9832	1.0155	0.9871	443.59
0.1197	359.05	359.04	0.4762	1.8172	0.9829	1.0197	0.9870	489.29
0.1354	358.60	358.02	0.4885	1.7584	0.9826	1.0248	0.9869	538.32
0.1436	358.00	357.53	0.5047	1.7293	0.9824	1.0277	0.9869	562.20
0.1586	356.95	356.70	0.5323	1.6788	0.9822	1.0334	0.9868	602.83
0.1815	355.55	355.56	0.5677	1.6083	0.9819	1.0428	0.9867	659.52
0.2092	354.35	354.35	0.5969	1.5325	0.9815	1.0555	0.9865	719.43
0.2202	354.10	353.91	0.6031	1.5049	0.9814	1.0609	0.9865	741.25
0.2380	353.25	353.24	0.6237	1.4633	0.9812	1.0701	0.9864	772.62
0.2648	352.05	352.32	0.6519	1.4066	0.9809	1.0847	0.9862	812.77
0.2918	351.35	351.48	0.6681	1.3561	0.9807	1.1005	0.9861	846.82
0.3166	350.30	350.76	0.6923	1.3148	0.9805	1.1157	0.9860	870.15
0.3442	349.05	350.02	0.7197	1.2740	0.9803	1.1336	0.9859	889.06
0.4015	347.95	348.61	0.7431	1.2038	0.9800	1.1730	0.9856	909.80
0.4282	347.90	348.00	0.7443	1.1767	0.9798	1.1924	0.9854	911.28
0.4644	347.20	347.21	0.7613	1.1449	0.9796	1.2194	0.9853	903.04
0.5240	346.20	345.98	0.7860	1.1026	0.9793	1.2656	0.9850	869.55
0.6091	344.80	344.33	0.8231	1.0595	0.9789	1.3338	0.9845	783.83
0.6899	343.31	342.85	0.8633	1.0325	0.9785	1.3995	0.9840	666.92
0.8213	341.20	340.56	0.9221	1.0086	0.9779	1.5038	0.9832	419.31
1.0000	338.10	337.66	1.0000	1.0000	0.9771			0.00
Methanol (1) + ethanol acid (2)
0.0000	390.15	391.04	0.0000			1.0000	0.9703	0.00
0.0359	387.32	386.23	0.1574	0.9388	0.9765	0.9999	0.9685	77.28
0.0410	386.21	385.56	0.1664	0.9393	0.9768	0.9999	0.9682	86.70
0.0648	383.89	382.68	0.2719	0.9419	0.9779	0.9997	0.9666	134.05
0.0741	382.73	381.90	0.3133	0.9428	0.9782	0.9996	0.9660	149.55
0.0859	381.20	380.60	0.3333	0.9441	0.9787	0.9995	0.9652	171.14
0.1040	380.03	379.06	0.3830	0.9460	0.9791	0.9992	0.9639	205.37
0.1280	378.46	377.35	0.4602	0.9485	0.9797	0.9988	0.9622	245.43
0.1629	375.62	374.70	0.5213	0.9521	0.9802	0.9981	0.9595	299.80
0.1919	373.21	372.43	0.5873	0.9551	0.9805	0.9973	0.9572	341.32
0.2510	369.31	368.44	0.6495	0.9609	0.9808	0.9954	0.9528	411.44
0.3391	364.35	363.56	0.7538	0.9692	0.9809	0.9916	0.9461	490.73
0.4401	358.54	357.71	0.8232	0.9776	0.9805	0.9857	0.9388	536.56
0.5829	351.77	350.75	0.8999	0.9874	0.9797	0.9748	0.9292	526.43
0.7050	346.47	346.39	0.9389	0.9936	0.9790	0.9633	0.9217	449.37
0.7509	344.90	344.06	0.9533	0.9955	0.9787	0.9583	0.9189	401.45
0.8109	342.81	342.35	0.9693	0.9974	0.9783	0.9515	0.9155	330.61
0.8711	341.60	340.75	0.9766	0.9988	0.9779	0.9442	0.9122	241.41
0.9161	339.65	340.00	0.9859	0.9995	0.9776	0.9384	0.9097	163.78
1.0000	338.15	337.66	1.0000	1.0000	0.9771			0.00
Water (1) + ethanoic acid (2)
0.0000	390.15	391.04	0.0000			1.0000	0.9703	0.00
0.0665	387.22	387.67	0.1140	1.4161	0.9899	1.0025	0.9693	245.31
0.0749	387.00	387.31	0.1288	1.4046	0.9898	1.0031	0.9692	273.17
0.0855	386.48	386.88	0.1603	1.3903	0.9897	1.0040	0.9691	307.50
0.0995	385.86	386.34	0.1938	1.3722	0.9896	1.0054	0.9689	350.32
0.1507	384.16	384.60	0.2802	1.3117	0.9892	1.0121	0.9683	489.63
0.1722	383.44	383.96	0.3155	1.2888	0.9891	1.0156	0.9681	540.35
0.1926	382.99	383.39	0.3375	1.2684	0.9890	1.0193	0.9679	585.57
0.2168	382.39	382.77	0.3676	1.2458	0.9890	1.0242	0.9677	632.34
0.2502	381.53	381.98	0.4101	1.2171	0.9889	1.0316	0.9674	689.92
0.2936	380.94	381.06	0.4407	1.1838	0.9887	1.0425	0.9670	750.61
0.3303	380.20	380.36	0.4815	1.1589	0.9887	1.0528	0.9667	788.98
0.3756	379.40	379.57	0.5253	1.1318	0.9886	1.0666	0.9663	821.39
0.4465	378.27	378.48	0.5890	1.0965	0.9885	1.0908	0.9658	841.59
0.4946	377.61	377.82	0.6274	1.0768	0.9885	1.1087	0.9654	836.35
0.5615	376.80	376.99	0.6777	1.0543	0.9884	1.1355	0.9649	802.60
0.6036	376.24	376.51	0.7137	1.0427	0.9884	1.1533	0.9645	767.63
0.6517	375.59	376.00	0.7546	1.0315	0.9884	1.1746	0.9642	714.78
0.7067	375.11	375.46	0.7849	1.0213	0.9884	1.1998	0.9637	639.01
0.7045	375.11	375.48	0.7848	1.0217	0.9884	1.1988	0.9638	642.76
0.7507	374.71	375.05	0.8173	1.0148	0.9883	1.2207	0.9634	568.24
0.8008	374.31	374.62	0.8501	1.0091	0.9883	1.2451	0.9630	475.20
0.8723	373.80	374.05	0.9011	1.0035	0.9883	1.2809	0.9624	323.52
0.9116	373.54	373.76	0.9315	1.0016	0.9883	1.3009	0.9620	230.13
0.9546	373.24	373.45	0.9630	1.0004	0.9883	1.3231	0.9616	121.95
1.0000	373.15	373.15	1.0000	1.0000	0.9882			0.00