Mianowski Andrzej, Łabojko Grzegorz
Institute for Energy and Fuel Processing Technology, Zamkowa Street 1, 41-803 Zabrze, Poland.
Entropy (Basel). 2022 Dec 28;25(1):55. doi: 10.3390/e25010055.
A thermodynamic the influence of temperature on the logarithm of the considered quantity is expressed by bifunctional functional terms (1/T, lnT). For this purpose, the Apelblat & Manzurola (A&M) equation was used for extended model dissolution analysis of 12 aromatic hydrocarbons in tetralin and decalin vs. temperature for saturated solutions. The A&M equation was found to be thermodynamically compensatory in the sense of Enthalpy-Entropy-Compensation (EEC) while limiting melting temperature Tm=∆mH∆mS. The coefficients for the functional terms A1 vs. A2 are a linear relationship, with a slope called the compensation temperature Tc, as ratio of average enthalpy to average entropy. From this dependence, it has been shown that the approximation of ∆cp=∆mS¯ is justified, also assuming the average entropy. Regarding the term representing the activity coefficients, modifications to the A&M equation were proposed by replacing the intercept and it was shown that the new form correctly determines ∆mH. However, the condition is that the molar fraction of the solute exceeds x > 0.5 moles. It has been shown that the simplest equation referred to van ’t Hoff’s isobar also allows the simultaneous determination of enthalpy and entropy, but these quantities do not always come down to melting temperature.
热力学中,温度对所考虑量的对数的影响由双功能函数项(1/T,lnT)表示。为此,阿佩尔布拉特和曼祖罗拉(A&M)方程被用于对12种芳烃在四氢化萘和十氢化萘中的饱和溶液进行扩展模型溶解分析,研究其与温度的关系。发现A&M方程在焓-熵补偿(EEC)意义上是热力学补偿的,同时限定熔点温度Tm = ∆mH/∆mS。函数项A1与A2的系数呈线性关系,其斜率称为补偿温度Tc,即平均焓与平均熵之比。由此依赖性表明,假设平均熵,∆cp = ∆mS¯的近似是合理的。关于表示活度系数的项,通过替换截距对A&M方程提出了修正,结果表明新形式能正确确定∆mH。然而,条件是溶质的摩尔分数超过x > 0.5摩尔。已表明,最简单的范特霍夫等压方程也能同时测定焓和熵,但这些量并不总是归结为熔点温度。