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In: Mechanical Engineering

A gas turbine unit has a pressure ratio of 5/1 and a maximum cycle temperature of...

A gas turbine unit has a pressure ratio of 5/1 and a maximum cycle temperature of 550⁰C. The turbine drives the compressor and an electric generator., the mechanical efficiency of the drive being 97%. The ambient temperature is 20⁰C and the isentropic efficiencies of the compressor and turbine are 0.8 and 0.83 respectively.

Calculate the power output in kilowatts for an airflow of 15kg/s. Calculate also the thermal efficiency and the work ratio. Neglect changes in kinetic energy, and the loss of pressure in the combustion chamber.

Take cp = 1.005 kJ/kg K and ɣ=1.4 for the compression process, and take cp = 1.15 kJ/kg K and ɣ=1.333 for all combustion and expansion processes.

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