GATE_AE_2027_MOCK_05_Q53 GATE 2027 Aerospace Engineering All-India Master Mock 05 (High-Yield Comprehensive Grand Finale) NAT · 2 Marks
Propulsion • Thermodynamic Cycles of Gas Turbines • Brayton Cycle & Component Efficiencies

In a gas turbine cycle, the compressor consumes specific work w_c = 280 kJ/kg, and the turbine produces specific work w_t = 600 kJ/kg. If the heat added in the combustor is q_{in} = 800 kJ/kg, what is the thermal efficiency \eta_{th} of the cycle? (Round to two decimal places).

Answer Key:
0.40

Step-by-Step Verified Solution

### Solution: Net work w_{net} = w_t - w_c = 600 - 280 = 320 kJ/kg. Thermal efficiency \eta_{th} = w_{net} / q_{in} = 320 / 800 = 0.40 (or 40%). Correct: 0.40.
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