Table 9 Limiting apparent molar volume of DES (\(V_{\varphi ,DES}^{0}\)), adjustable parameters of Eq. (11) (AV, Bv and CV), along with SD, empirical parameters of Eq. (15) (a, b, and c), partial molar expansibility (\(\phi_{E,DES}^{0}\)), isobaric thermal expansion (\(\alpha_{p,m}\)) and Hepler’s constant [\(\left( {\frac{{\partial^{2} V_{\varphi ,DES}^{0} }}{{\partial T^{2} }}} \right)_{p}\)] for the pseudo-binary (hCl/PG DES + water) mixtures at T = (293.15–313.15) K
T/K | \(V_{\varphi ,DES}^{0}\)/(cm3 mol−1) | \(A_{v}\)/(cm3 mol−3/2 kg1/2) | \(B_{v}\)/(cm3 mol−2 kg) | 103.\(C_{v}\)/(cm3 mol−5/2 kg3/2) | ARD% ± SD (\(V_{\varphi ,DES}^{0}\)/(cm3 mol−1)) | a1/(cm3 mol−1) | b1/(cm3 mol−1 K−1) | c1/(cm3 mol−1 K−2) | \(\phi_{E,DES}^{0}\)/(cm3 mol−1 K−1) | \(\alpha_{p,m}\)/(K−1) | \(\left( {\frac{{\partial^{2} V_{\varphi ,DES}^{0} }}{{\partial T^{2} }}} \right)_{p}\) |
|---|---|---|---|---|---|---|---|---|---|---|---|
ChCl/PG DES (molar ratio of 1:3) + water | |||||||||||
293.2 | 81.78 | 0.8806 | − 0.1146 | 5.669 | 0.09 ± 0.10 | − 90.837 | 0.974 | − 0.0010 | 0.203 | 2.482 | 0.771 |
298.2 | 82.71 | 0.6131 | − 0.0726 | 3.545 | 0.06 ± 0.08 | 0.190 | 2.297 | 0.784 | |||
303.2 | 83.65 | 0.2243 | − 0.0075 | 1.232 | 0.04 ± 0.05 | 0.177 | 2.116 | 0.797 | |||
308.2 | 84.57 | − 0.053 | 0.0380 | − 2.183 | 0.02 ± 0.02 | 0.164 | 1.939 | 0.810 | |||
313.2 | 85.28 | − 0.2780 | 0.0730 | − 3.973 | < 0.01 ± 0.04 | 0.151 | 1.771 | 0.823 | |||