Air enters the compressor of a cold air-standard brayton cycle at 100 kpa, 300 k, with a mass flow rate of 6 kg/s. the compressor pressure ratio is 10, and the turbine inlet temperature is 1400 k. the turbine and compressor each have isentropic efficiencies of 80%. for k=1.4, calculate: a) the thermal efficiency of the cycle. b) the back work ratio. c) the net power developed, in kw. d) the rates of exergy destruction in the compressor and turbine, respectively, each in kw, for t0=300 k.

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.