I do not understand how to fix state 3 with the given information. Without knowledge of state 3 or 4s (the 4th state if the process were actually isentropic) I don't see how it's possible to get temperature or enthalpy of state 3.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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I do not understand how to fix state 3 with the given information. Without knowledge of state 3 or 4s (the 4th state if the process were actually isentropic) I don't see how it's possible to get temperature or enthalpy of state 3.

9-178 Electricity and process heat requirements of a manufacturing facility are to be met by a cogeneration plant consisting
of a gas s turbine and a heat exchanger for steam production. The plant operates on the simple Brayton cycle between the pressure
limits of 100 and 1000 kPa with air as the working fluid. Air enters the compressor at 20°C. Combustion gases leave the turbine
and enter the heat exchanger at 450°C and leave the heat exchanger at 325°C, while the liquid water enters the heat exchanger at
15°C and leaves at 200°C as a saturated vapor. The net power produced by the gas-turbine cycle is 1500 kW. Assuming a
compressor isentropic efficiency of 86 percent and a turbine isentropic efficiency of 88 percent and using variable specific heats,
determine (a) the mass flow rate of air, (b) the back work ratio and the thermal efficiency, and (c) the rate at which steam is
produced in the heat exchanger. Also determine (d) the utilization efficiency of the cogeneration plant, defined as the
ratio of the total energy utilized to the energy supplied to the plant. This problem is solved using appropriate software.
Page 540
-2 MPa
Compressor
Combustion
chamber
325°C 15°C
450°C
Turbine
Heat
exchanger
sat. vapor
200°C
Transcribed Image Text:9-178 Electricity and process heat requirements of a manufacturing facility are to be met by a cogeneration plant consisting of a gas s turbine and a heat exchanger for steam production. The plant operates on the simple Brayton cycle between the pressure limits of 100 and 1000 kPa with air as the working fluid. Air enters the compressor at 20°C. Combustion gases leave the turbine and enter the heat exchanger at 450°C and leave the heat exchanger at 325°C, while the liquid water enters the heat exchanger at 15°C and leaves at 200°C as a saturated vapor. The net power produced by the gas-turbine cycle is 1500 kW. Assuming a compressor isentropic efficiency of 86 percent and a turbine isentropic efficiency of 88 percent and using variable specific heats, determine (a) the mass flow rate of air, (b) the back work ratio and the thermal efficiency, and (c) the rate at which steam is produced in the heat exchanger. Also determine (d) the utilization efficiency of the cogeneration plant, defined as the ratio of the total energy utilized to the energy supplied to the plant. This problem is solved using appropriate software. Page 540 -2 MPa Compressor Combustion chamber 325°C 15°C 450°C Turbine Heat exchanger sat. vapor 200°C
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How did you derive that equation to find h3? I see you had to use constant specific heat assumption but I'm just not seeing how the equation was derived

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