A flue gas is cooled from $1100C$ to $150C$ and the heat is used to generate saturated steam

at $100C$ in a boiler. The flue gas has a heat capacity given by:

$\frac{C_P}{R}=3\mathrm{.}83+0\mathrm{.}000551T(TinK,C_{P}in\frac{J}{\text{m}\text{o}\text{l}\text{K}})$

Liquid water enters the boiler at $100C$ and is vaporized at this temperature.

a$.$ What is the mass of water that is vaporized per mole of flue gas?

b$.$ What is $S_{\text{g}\text{e}\text{n}}$ for each mole of flue gas?