Chapter 13.12, Problem 11E

Interpretation Introduction

Interpretation:

Dimensionless ratio $\left({\psi }_2\right)$ of methane and cyclohexane has to be determined.

Concept introduction:

Initially use the property table to obtain the molar enthalpy of the components and then use that value in the expression for dimensionless ratio to obtain the dimensionless ratio of methanol and cyclohexane

The expression for dimensionless ratio $\left({\psi }_1\right)$ of methanol.

${\psi }_1=\exp \left[\frac{\Delta {\underset{\_}{H}}_1^{Fus}\left(T_{m,1}\right)}{R{T}_{m,1}}\frac{\left(T-T_{m,1}\right)}{T}\right]$

Here, molar enthalpy of fusion of component 1 is $\Delta {\underset{\_}{H}}_1^{Fus}$, melting temperature of component 1 or methanol is $T_{m,1}$, gas constant is $R$, and system temperature is $T$.

The expression for dimensionless ratio $\left({\psi }_2\right)$ of cyclohexane.

${\psi }_2=\exp \left[\frac{\Delta {\underset{\_}{H}}_2^{Fus}\left(T_{m,2}\right)}{R{T}_{m,2}}\frac{\left(T-T_{m,2}\right)}{T}\right]$

Here, molar enthalpy of fusion of component 2 is $\Delta {\underset{\_}{H}}_2^{Fus}$, and melting temperature of component 2 or cyclohexane is $T_{m,2}$.