Chapter 5, Problem 5B.5P

Interpretation Introduction

Interpretation:

The Gibbs energy of mixing for the given mixture has to be determined.

Concept Introduction:

The Gibb’s free energy of mixing determines whether the process of mixing is spontaneous or not at a constant pressure and temperature.  The expression to calculate the Gibb’s free energy of mixing is,

    ${\Delta }_{\text{mix}}G=nRT\left(x_{\text{A}}\ln x_{\text{A}}+x_{\text{B}}\ln x_{\text{B}}\right)$

Where,

$n$ is the total moles.

$R$ is the gas constant.

$x_{\text{A}}$ and $x_{\text{B}}$ are the mole fractions of component $\text{A}\text{and}\text{B}$, respectively.

${\Delta }_{\text{mix}}G$ is the Gibbs free energy of mixing.