Chapter 10, Problem 10.43P

Interpretation Introduction

Interpretation:

To validate claim that volume expansity of an ideal solution is given by

  ${\beta }^{id}={\displaystyle \sum _i{x}_i{\beta }_i}$ and if this isn’t true then to find a correct expression for ${\beta }^{id}$ .

Concept Introduction:

The concept of volume expansity and ideal solution will be used to answer this question.

Volume expansity is defined as increase in volume with respect to per unit temperature rise and to per unit original volume.

Volume expansity is defined as:

  $\beta =-1/V*{(\partial V/\partial T)}_P$

This is a function of temperature considering pressure is held constant.

For an ideal solution, total volume of solution is equal to sum of the individual volume of the components.