QUESTION $1$

$(40$ points$)$ Use the values given here and not the values indicated in the schema thai is

Water is the working fluid in an ideal Rankine cycle with superheat and reheat. Steam enters the first$-$stage turbine at $10\mathrm{.}96$ MPa and $505$ C $,$ expands to a pressure of $2\mathrm{.}93$ MPa $,$ and is reheated to $463$ C before entering the second$-$stage turbine. The condenser pressure is $0\mathrm{.}014$ MPa $.$ Assume that saturated liquid exits the condenser. The net power output of the cycle is $533$ MW$.$ Determine for the cycle:

$($a$)$ the mass flow rate of steam, in $k\frac{g}{h}.$

$($b$)$ the rate of heat transfer, in MW$,$ to the working fluid passing through the steam generator.

$($c$)$ the rate of heat transfer, in MW$,$ to the working fluid passing through the reheater.

$($d$)$ The rate of heat transfer rejected at the condenser, MW

$($e$)$ The cycle thermal efficiency.

$($f$)$ sketch the cycle in a T$-$s diagram