The entropy of water at atmospheric pressure and $100^{\circ} \mathrm{C}$ is 0.31 $\mathrm{cal} / \mathrm{g} \cdot \mathrm{deg}$, and the entropy of steam at the same temperature and pressure is $1.76 \mathrm{cal} / \mathrm{g} \cdot$ deg.
(a) What is the heat of vaporization at this temperature?
(b) The enthalpy ( $H=U+P V)$ of steam under these conditions is $640 \mathrm{cal} / \mathrm{g}$. Calculate the enthalpy of water under these conditions.