Chapter 18, Problem 18.119QP

Interpretation Introduction

Interpretation:

By using the given information, the maximum work obtained from $\text{1}\text{mol}\text{of}{\text{CH}}_{\text{4}}{}_{\left(\text{g}\right)}$ has to be calculated and also the maximum height that the given truck could travel up a hill has to be calculated.

Concept introduction:

Standard free energy change:

Standard free energy change is measured by subtracting the product of temperature and standard entropy change from the standard enthalpy change of a system.

$\begin{array}{l}{\text{ΔG}}^{\text{o}}\text{=}{\text{ΔH}}^{\text{o}}\text{-}{\text{TΔS}}^{\text{o}}\\ \text{where,}\\ {\text{ΔG}}^{\text{o}}\text{-}\text{standard}\text{free}\text{energy change}\\ {\text{ΔH}}^{\text{o}}\text{-}\text{standard}\text{enthalpy}\text{change}\\ {\text{ΔS}}^{\text{o}}\text{-}\text{standard}\text{entropy change}\text{and T}\text{-}\text{temperature}\text{.}\end{array}$

To calculate: The value of ${\text{w}}_{\text{max}}$ and the maximum height a truck can go up a hill