Question $2(35\%)$ CLO$2$

A steam turbine operates under steady$-$state conditions with steam entering at $10$MPa, $600$C$,$ and exhausting as a saturated vapour at $10$kPa $.$ The mass flow rate of the steam through the turbine is $13\mathrm{.}71$kg$/$s$.$ If the power output of the turbine is $5$ MW$,$ calculate:

$($a$)$ The rate of heat transfer to the surroundings

$($b$)$ Thermal efficiency of the turbine.