A well-insulated turbine operating at steady-state produces 5 MW power for a steam flow rate of 10kg/s. The steam enters at 300C with the velocity of 35m/s, and exits as a saturated vapor at 1 bar with velocity of 100 m/s. There is no potential energy change. Determine: a.The inlet pressure b.Exit temperature c.Volumetric flow rates at the inlet and exit.   Please show all steps in solution

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I am getting lost in this practice problem for thermodynamics - thank you! Air at 100 kPa and 280K is compressed steadily to 600 kPa and 400K in an air compressor. The mass flow rate of air through the compressor is 0.02 kg/s and the compressor a heat loss of 16 kJ/kg from the compressor occurs. Assuming steady state steady flow conditions and ideal gas behavior (with constant specific heats, Cp=1.009 kJ/kgK, R=0.287 kJ/kgK, determine: a) The necessary power in put to the compressor(kW).b) The volumetric flow rate of air at the exit of the compressor (m3/s).