Chapter 10, Problem 10.29P

(a)

Interpretation Introduction

Interpretation:

Estimation of parameters a,b and c from the given equation and data of composition versus excess volume.

Concept introduction:

Excess molar properties of mixtures are the non ideal nature of real mixtures. They are generally the difference between the partial molar property of a component in a real mixture and in an ideal mixture.

Parameters a, b and c can be determined by fitting the data given in the question.

(b)

Interpretation Introduction

Interpretation:

Estimation the maximum value of excess volume and composition at which it becomes maximum.

Concept introduction:

Excess molar properties of mixtures are the non ideal nature of real mixtures. They are generally the difference between the partial molar property of a component in a real mixture and in an ideal mixture.

(c)

Interpretation Introduction

Interpretation:

Derive expression for $\overline{V_{{}^1}^E}$, $\overline{V_2^E}$ and plot with respect to x₁.

Concept introduction:

Excess molar properties of mixtures are the non ideal nature of real mixtures. They are generally the difference between the partial molar property of a component in a real mixture and in an ideal mixture.

Partial molar properties can be derived from equations:

  $\begin{array}{l}\overline{V_1^E}=V^E+\left(1-x_1\right)\frac{d{V}^E}{d{x}_1}\\ \overline{V_2^E}=V^E-\left(x_1\right)\frac{d{V}^E}{d{x}_1}\end{array}$