Chapter 11, Problem 11.2P

Interpretation Introduction

Interpretation:

Mixture volume $V$ when 750 cm³ of pure species 1(ethanol) is mixed with 1500 cm³ of species 2 (methyl butyl ether) at 25⁰C and ideal solution volume $V^{id}$ should be calculated.

Concept Introduction:

Mole fraction $x_1$ and $x_2$ will be calculated first. Mole of a species will be calculated by dividing its total volume by its specific volume. Mole fraction of a species corresponds to its total mole divided by total mole of the mixture.

  $\Delta V$ will be calculated next after putting $x_1$ and $x_2$ value in the given expression.

  $V^E=V-{{\displaystyle \sum }}^{\text{}}{x}_i{V}_i$ and $V^E=\Delta V$

Since $\Delta V$, $V_1$, $V_2$, $x_1$ and $x_2$ are known, $V$ can be calculated. Here $V$ is volume per mol. To calculate total mixture volume, $V$ is to be multiplied with total mole of mixture.

Ideal solution volume of mixture $V^{id}={{\displaystyle \sum }}^{\text{}}{x}_i{V}_i$ . Since, $V_1$, $V_2$, $x_1$ and $x_2$ are known, $V^{id}$ can be calculated unit of which will be in volume per mol. To calculate total ideal mixture volume, $V^{id}$ is to be multiplied with total mole of mixture.