Chapter 8.5, Problem 3E

(A)

Interpretation Introduction

Interpretation:

The boiling points of n-hexane using the Antoine equation.

Concept Introduction:

The Antoine equation is,

${\log }_{10}\left(P^{sat}\right)=A-\frac{B}{T+C}$

Here, Antoine coefficients are A, B, and C, vapor pressure is $P^{sat}$, and temperature is T.

(B)

Interpretation Introduction

Interpretation:

The boiling points of n-hexane using the Clausius-Clapeyron equation.

Concept Introduction:

The Clausius-Clapeyron equation is,

$\ln \left(\frac{P_2^{sat}}{P_1^{sat}}\right)=\frac{-\Delta {\underset{\_}{H}}^{vap}}{R}\left(\frac{1}{T_2}-\frac{1}{T_1}\right)$

Here, gas constant is R, temperature at state 1 and 2 is $T_1\text{and}{T}_2$ respectively, vapor pressure at state 1 and 2 is $P_1^{sat}\text{and}{P}_2^{sat}$ respectively, and change in molar enthalpy from vaporization is $\Delta {\underset{\_}{H}}^{vap}$.

(C)

Interpretation Introduction

Interpretation:

The boiling points of n-hexane using the shortcut equation.

Concept Introduction:

The shortcut vapor pressure equation is,

$\begin{array}{l}{\log }_{10}{P}_r^{sat}=\frac{7}{3}\left(\omega +1\right)\left(1-\frac{1}{T_r}\right)\\ T_r={\left[\frac{1}{T_c}-\frac{\log \left(\frac{P_{sat}}{P_c}\right)}{\left(\omega +1\right)T_c}\left(\frac{3}{7}\right)\right]}^{-1}\end{array}$

Here, reduced temperature is $T_r$, critical temperature is $T_c$, critical pressure is $P_c$, acentric factor is $\omega$, and reduced pressure at saturated point is $P_r^{sat}$.