GATE ME 2024 Set 1 — Question 45
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0MediumBrayton CyclePower CyclesThermodynamicsRegeneration, Reheat & Intercooling
Thermodynamics → Power Cycles → Brayton Cycle
Last updated
Question
Consider an air-standard Brayton cycle with adiabatic compressor and turbine, and a regenerator, as shown in the figure. Air enters the compressor at 100 kPa and 300 K and exits the compressor at 600 kPa and 550 K. The air exits the combustion chamber at 1250 K and exits the adiabatic turbine at 100 kPa and 800 K. The exhaust air from the turbine is used to preheat the air in the regenerator. The exhaust air exits the regenerator (state 6) at 600 K. There is no pressure drop across the regenerator and the combustion chamber. Also, there is no heat loss from the regenerator to the surroundings. The ratio of specific heats at constant pressure and volume is . The thermal efficiency of the cycle is _________ % (answer in integer).
Correct answer
40 to 40
Solution
Given state points:
1: Compressor inlet ( K)
2: Compressor outlet ( K)
3: Regenerator outlet (air side)
4: Combustion chamber outlet ( K)
5: Turbine outlet ( K)
6: Regenerator outlet (gas side) ( K)Work done by compressor:
Work done by turbine:
Net work output: In the regenerator, heat lost by hot gas = heat gained by cold air (since no heat loss to surroundings):
KHeat input in combustion chamber: Thermal efficiency: .
1: Compressor inlet ( K)
2: Compressor outlet ( K)
3: Regenerator outlet (air side)
4: Combustion chamber outlet ( K)
5: Turbine outlet ( K)
6: Regenerator outlet (gas side) ( K)Work done by compressor:
Work done by turbine:
Net work output: In the regenerator, heat lost by hot gas = heat gained by cold air (since no heat loss to surroundings):
KHeat input in combustion chamber: Thermal efficiency: .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Power Cycles
2026 Set 1 Q23For an ideal gas, starting from state point 1, two different processes take place. The…2026 Set 1 Q28For the isothermal expansion of an ideal gas in a piston cylinder system, the net heat supplied…2026 Set 1 Q44For an ideal regenerative Rankine cycle, as shown in the figure below, which one of the following…2026 Set 1 Q56A liquid comes out of the reactor of a chemical plant at temperature…2026 Set 1 Q57A rigid closed vertical cylindrical vessel of diameter contains …