Chapter 9.8, Problem 13P

Interpretation Introduction

Interpretation:

Partial molar enthalpies of this mixture as a function of composition at 50°C have to be plot in single graph.

Concept introduction:

The change of mixing of the molar enthalpy $\left(\Delta {\underset{\_}{H}}_{mix}\right)$ is given as follows,

$\Delta {\underset{\_}{H}}_{mix}=\underset{\_}{H}-\left(x_1{\underset{\_}{H}}_1+x_2{\underset{\_}{H}}_2\right)$

Here, molar enthalpy is $\underset{\_}{H}$, liquid mole fraction of component 1 is $x_1$, liquid mole fraction of component 2 is $x_2$, molar enthalpy of component 1 is ${\underset{\_}{H}}_1$, and molar enthalpy of component 2 is ${\underset{\_}{H}}_2$.

The partial molar enthalpy of component i in a mixture $\left({\overline{H}}_i\right)$ is given as follows,

${\overline{H}}_i=\underset{\_}{H}+x_{i_2}\frac{d\underset{\_}{H}}{d{x}_{i_1}}$

Here, change in molar enthalpy is $d\underset{\_}{H}$, and change in liquid phase of component i is $d{x}_{i_1}$.