Chapter 3, Problem 3.42E

Trouton’s rule states that the entropy of boiling at the normal point is $85\text{J}/\text{mol}\cdot \text{K}$. (a) Does the data from Example $3.2$ support Trouton’s rule? (b) ${\text{H}}_{\text{2}}\text{O}$ has a heat of vaporization of $40.7\text{kJ}/\text{mol}$. Does the ${\Delta }_{\text{vap}}S$ for ${\text{H}}_{\text{2}}\text{O}$ at its normal boiling point support Trouton’s rule? Can you explain any deviation? (c) Predict the boiling point of cyclohexane, ${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}$, if its ${\Delta }_{\text{vap}}H$ is $30.1\text{kJ}/\text{mol}$. Compare your answer to the measured normal boiling point of $80.7°\text{C}$.