PLEASE HELP SOLVE!!

$10-99$ A gas$-$turbine power plant operates on a modified Brayton cycle shown in the figure with an overall pressure ratio of $8.$ Air enters the compressor at $0C$ and $100$ kPa $.$ The maximum cycle temperature is $1500$ K $.$ The compressor and the turbines are isentropic$.$ The high$-$pressure turbine develops just enough power to run the compressor. Assume constant properties for air at $300$ K with $c_v=0\mathrm{.}718k\frac{J}{k}g*K.c_p=1\mathrm{.}005k\frac{J}{k}g*K,R=0\mathrm{.}287k\frac{J}{k}g*K,k=1\mathrm{.}4.$

$($a$)$ Sketch the $T-$s diagram for the cycle. Label the data states.

$($b$)$ Determine the temperature and pressure at state $4,$ the exit of the high$-$pressure turbine.

$($c$)$ If the net power output is $200$ MW $,$ determine the mass flow rate of the air into the compressor in $k\frac{g}{s}.$