Answer
$\Delta$S = 89.2 J/K
Work Step by Step
$\Delta$ S = $\frac{\Delta H_{vap}}{T}$
$\Delta$ S = $\frac{(29.6 kJ/mol)(1.00 mol)}{(58.8^{\circ}C+273.15)}$
$\Delta$ S = 0.08917005573 kJ/K
Since $\Delta $ S unit is J/K, you need to convert kJ to J.
$\Delta $ S = 0.08917005573 kJ/K $\frac{(1000J)}{(1kJ)}$
$\Delta $ S = 89.2 J/K