In a steam power plant, 2.5 kg/s of steam at a pressure of 40 bar is produced by a steam boiler.Feed water enters the boiler at a temperature of 32°C and specific enthalpy of 134 kJ/kg. 550 kJ/s of heat energy is lost from the boiler to its surroundings. The steam from a boiler is superheated to a temperature of 400 °C before entering a turbine with a specific enthalpy value of 3214 kJ/kg. In the turbine, the steam expands to a pressure of 1 bar and exhausts with a specific enthalpy value of 2562.1 kJ/kg. 180 kJ/s of heat energy is lost from the turbine casing to its surroundings. The exhaust from the turbine enters the steam condenser. It condenses at constant pressure and leaves the condenser as saturated water with a specific enthalpy value of 130 kJ/kg. The condensate from the condenser is then pump back to the boiler using a hydraulic pump completing a complete thermodynamics cycle. Assume all the changes in kinetic and potential energy in all the processes are negligible. (a) the rate of heat energy supplied to the boiler, (b) the power developed by the turbine, (c) the rate of heat rejected from the condenser, and (d) determine the efficiency of the power plant. [ Efficiency = Power generated/heat input ]