In a Rankine cycle steam enters the turbine at $400C$ and $5$MPa and exhausts to the condenser at

$10$kPa. The turbine produces a power output of $20000kW$ with an isentropic efficiency of $85\%.$

i$-,$ Determine the mass flow rate of steam

ii$-,$ Determine the rate of heat rejection in the condenser

iii$-,$ Determine the thermal efficiency of the power plant

iv$-$ What would be the Carnot cycle efficiency operating between the same max. and min.

temperature limits$.$