$3\mathrm{.}26$ A $440$ MW coal$-$fired power plant is $40\%$ efficient at producing electricity.

The coal has a heating value of $20,000k\frac{J}{k}g,$ an ash content of $6\mathrm{.}0\%,$ and a

sulfur content of $4\mathrm{.}0\%.$

a$.$ What is the daily input rate of coal $($kg$/$day$)?$

b$.$ If the overall efficiency of ash capture is $98\mathrm{.}6\%,$ how much ash is emit$-$

ted into the air, $k\frac{g}{?}$ day?

c$.$ How much heat is emitted to the environment $(k\frac{J}{?}$ day$)?$

d$.$ If $80\%$ of the heat emitted is to be removed by cooling water, calculate

the flow rate of water $($in gal$/$day$)$ if the cooling water is initially at $65$

$F$ and rises to $95F.$