1.
The gas-turbine portion of a combined gas-steam power plant has a pressure ratio
   of 16. Air enters the compressor at 300 K at a rate of 14 kg/s and is heated to
   1500 K in the combustion chamber. The combustion gases leaving the gas turbine
   are used to heat the steam to 400 C at 10 MPa in a heat exchanger. The combustion
   gases leave the heat exchanger at 420 K. The steam leaving the turbine is
   condensed at 15 kPa. Assuming all the compression and expansion processes to be
   isentropic, determine (a) the mass flow rate of the steam (b) the net power
   output, and (c) the thermal efficiency of the combined cycle. For air, assume
   constant specific heats at room temperature. [1.275 kg/s, 7819 kW, 66.4 percent]
2. Consider a combined gas-steam power plant that has a net power output of 280 MW.
   The pressure ratio of the gas turbine cycle is 11. Air enters the compressor at
   300 K and the turbine at 1100 K. The combustion gases leaving the gas turbine
   are used to heat the steam at 5 MPa to 350 C in a heat exchanger. The combustion
   gases leave the heat exchanger at 420 K. An open feedwater heater incorporated
   with the steam cycle operates at a pressure of 0.8 MPa. The condenser pressure
   is 10 kPa. Assuming isentropic efficiencies of 100 percent for the pump, 82
   percent for the compressor, and 86 percent for the gas and steam turbines,
   determine (a) the mass flow rate ratio of air to steam, (b) the required rate
   of heat input in the combustion chamber, and (c) the thermal efficiency of the
   combined cycle.
3. Consider an ideal gas-turbine cycle with two stages of compression and two stages
   of expansion. The pressure ratio across each compressor stage and each turbine
   stage is 8:1. The pressure at the entrance to the first compressor is 14 lbf/in2,
   the temperature entering each compressor is 70 F, and the temperature entering
   each turbine is 2000 F. An ideal regenerator is also incorporated into the cycle.
   Determine the compressor work, the turbine work, and the thermal efficiency of
   the cycle.
4. A Rankine steam power plant should operate with a high pressure of 3 MPa and a
   low pressure of 10 kPa, and the boiler exit temperature should be 500 C. The
   available high temperature source is the exhaust of 175 kg/s air at 600 C from
   a gas turbine. If the boiler operates as a counterflowing heat exchanger where
   the temperature difference at the pinch point is 20 C, find the maximum water
   mass flow rate possible and the air exit temperature.