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Academics – Applied Heat : 2016/JUL/02
Question

Q1. Air enters the compressor of simple gas turbine plant at a pressure and temperature of 1.013 bar and 298 K respectively and is compressed through a pressure ratio of 12:1 with an isentropic efficiency of 0.85.

The hot gases enter the turbine at a temperature of 1500 K and expand down to the initial pressure with an isentropic efficiency of 0.9.

The mass flow rate of air is 250 kg/min and the mass flow rate of fuel may be ignored.

(a) Sketch the cycle on a Temperature-specific entropy diagram.

(b) Calculate EACH of the following:

(i) The compressor outlet temperature

(ii) The turbine outlet temperature

(iii) The net power output

(iv) The work ratio

(v) The thermal efficiency of the cycle.

Note: for air γ = 1.4 and Cp = 1.005 kJ/kgK

For the hot gas γ = 1.33 and Cp = 1.15 kJ/kgK

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