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2) A cogeneration plant with a simple steam power plant topping cycle (single turbine, condenser, pump, and boiler, with no reheat or regeneration) is

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2) A cogeneration plant with a simple steam power plant topping cycle (single turbine, condenser, pump, and boiler, with no reheat or regeneration) is used to generate process heating for a refinery. The turbine inlet is at a pressure 18 MPa and temperature 823 K. The turbine outlet pressure is 0.2 MPa, and the turbine isentropic efficiency is 0.9. The boiler is heated by the combustion of a fuel of heating value 40 MJ/kg that flows at a rate of 21.5 kg/s. The boiler combustion efficiency no is 0.95, the electric generator efficiency is 0.98, and the fraction of power plant rejected heat converted to useful process heat is 0.85. a. [7] Taking the inlet to the turbine as state 1, calculate the enthalpies at all state points in the cycle using EES. b. [3] Calculate the heat contained in the fuel supplied to the cogeneration plant c. [4] Calculate the mass flow rate of steam. d. [4] Calculate the net mechanical power output W net. e. [3] Calculate the thermal efficiency of the steam cycle. f. [3] Calculate the electrical power output Wel. g. [3] Calculate the useful heat supplied by the cogeneration plant Qu. h. [3] Calculate the heat to power ratio HPR.

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