Studies on Excess Volume, Viscosity, and Speed of Sound of Binary Mixtures of Methyl Benzoate in Ethers at 𝑇=(303.15,308.15, and 313.15) K

Table 3

Derived parameters of excess functions by Redlich-Kister equation and standard deviations 𝜎 of binary liquid mixtures.

Function	𝑇/K	𝑎0	𝑎1	𝑎2	𝑎3	𝜎
Methyl benzoate (1) + tetrahydrofuran (2)
𝑉^𝐸	303.15	−3.7342	1.2905	1.1561	—	0.003
	308.15	−3.8390	1.2879	1.1173	—	0.003
	313.15	−3.9542	1.2921	1.9336	—	0.004
Δ𝜂	303.15	−0.3703	0.0783	−0.0054	—	0.002
	308.15	−0.2820	0.0762	−0.0017	—	0.002
	313.15	−0.2206	0.0052	−0.0013	—	0.001
Δ𝐺^∗𝐸	303.15	1303.56	9.2800	−47.1207	−173.82	2.5
	308.15	1332.27	−4.3204	−21.9964	−216.76	3.3
	313.15	1442.68	−177.56	50.2305	−79.613	3.8
Δ𝑘𝑠	303.15	−17.457	7.2762	−0.2584	1.4106	0.008
	308.15	−11.729	−0.0066	3.5145	−0.134	0.093
	313.15	−11.726	0.5719	4.7747	1.1539	0.090
Methyl benzoate (1) + 1,4-dioxane (2)
𝑉^𝐸	303.15	−1.144	0.290	0.846	—	0.002
	308.15	−1.326	0.425	0.753	—	0.002
	313.15	−1.568	0.552	0.575	—	0.003
Δ𝜂	303.15	−0.122	0.018	−0.011	—	0.001
	308.15	−0.096	0.007	0.009	—	0.001
	313.15	−0.062	0.019	0.045	—	0.001
Δ𝐺^∗𝐸	303.15	152.594	48.243	−4.7463	−34.315	0.7
	308.15	191.571	23.232	37.394	−27.738	2.8
	313.15	201.888	29.749	100.81	−116.35	2.4
Δ𝑘𝑠	303.15	−8.7386	1.8216	3.7965	−1.7238	0.094
	308.15	−9.2275	2.7930	−0.9078	−0.8437	0.044
	313.15	−11.303	2.1793	−5.0991	−0.8657	0.048
Methyl benzoate (1) + anisole (2)
𝑉^𝐸	303.15	−0.9866	0.2637	0.5566	—	0.003
	308.15	−1.1427	−0.0217	0.4368	—	0.003
	313.15	−1.2778	−0.0899	0.2005	—	0.002
Δ𝜂	303.15	−0.1440	0.0055	0.0234	—	0.002
	308.15	−0.1774	−0.0067	−0.0351	—	0.001
	313.15	−0.1602	−0.0069	−0.0270	—	0.002
Δ𝐺^∗𝐸	303.15	177.724	−46.913	99.649	70.211	2.2
	308.15	116.959	−70.397	12.737	80.252	2.5
	313.15	56.636	−50.389	−50.388	63.520	1.2
Δ𝑘𝑠	303.15	3.5076	−3.8057	0.9701	5.8130	0.036
	308.15	4.7056	−4.2092	5.0184	4.5773	0.053
	313.15	5.3764	−4.7277	6.5667	2.5075	0.050
Methyl benzoate (1) + butyl vinyl ether (2)
𝑉^𝐸	303.15	−2.4161	−0.7060	1.0922	—	0.004
	308.15	−2.6110	−0.5335	0.9973	—	0.004
	313.15	−2.8690	−0.4280	0.9846	—	0.005
Δ𝜂	303.15	−1.0856	−0.3096	−0.1033	—	0.002
	308.15	−0.9534	−0.2594	−0.0654	—	0.003
	313.15	−0.8261	−0.2221	−0.0264	—	0.003
Δ𝐺^∗𝐸	303.15	−663.33	174.93	−102.07	−27.064	5.8
	308.15	−627.07	153.92	−43.740	−3.6493	7.2
	313.15	−596.84	106.49	131.85	−19.948	5.7
Δ𝑘𝑠	303.15	−20.411	5.1677	5.1277	−1.1243	0.080
	308.15	−22.018	5.1564	3.8155	−3.0159	0.085
	313.15	−25.224	3.8500	−3.2901	2.8527	0.072