Chapter 6, Problem 6.15P

Interpretation Introduction

Interpretation:

Show that the vapor pressure $P^{sat}$ at intermediate temperature T given that P₁^sat and P₂^sat are the saturation vapor pressure of a pure liquid at absolute temperature T₁ and T₂is

$\ln P^{sat}=\ln P_1{}^{sat}+\frac{T_2(T-T_1)}{T(T_2-T_1)}\ln \frac{P_2{}^{sat}}{P_1{}^{sat}}$.......(a)

Concept Introduction:

The intermediate value $(x,y)$ between two other values $(x_1,y_1)$ and $(x_2,y_2)$, find out by using interpolation formula given as: -$(y-y_1)=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)$.......(1)

For linear equation $y=mx+c$

Since, Antoine equation is also straight line equation so eq.(1) can be valid on it.