Chapter 15, Problem 3STP

Interpretation Introduction

Interpretation:

Standard entropy of vaporization is to be found out using graph.

Concept introduction:

When $\Delta G^0$ is plotted against temperature, the slope of line is equal to $\Delta S^0$

Answer to Problem 3STP

D

Explanation of Solution

The formula to calculate slope is given by:

$Slopeofline=\frac{y_2-y_1}{x_2-x_1}$

Taking two points on graph as:

$\begin{array}{l}{y}_1=5kJ/mol\\ y_2=6kJ/mol\\ x_1=300K\\ x_2=290K\end{array}$

On putting the values into formula:

$\begin{array}{c}\Delta S^0=\frac{\left(6-5\right)kJ/mol}{\left(290-300\right)K}\\ =\frac{1}{-10}kJ/mol-K\\ =-100kJ/mol-K\end{array}$

Conclusion

The mathematical calculations show that option D is correct.