GATE ME 2017 Set 1 — Question 33
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumCarnot Cycle & EntropyLaws & PropertiesThermodynamicsWork & Heat in Processes
Thermodynamics → Laws & Properties → Carnot Cycle & Entropy
Last updated
Question
One kg of an ideal gas (gas constant, ; specific heat at constant volume, ) at 1 bar, and 300 K is contained in a sealed rigid cylinder. During an adiabatic process, 100 kJ of work is done on the system by a stirrer. The increase in entropy of the system is ______ J/K.
Correct answer
285 to 289
Solution
Given:
Mass of gas,
Gas constant,
Specific heat at constant volume,
Initial temperature,
Work done on the system, (stirrer work)
Process is adiabatic, so heat transfer .From the First Law of Thermodynamics for a closed system:
The change in entropy for an ideal gas is given by:
Since the gas is contained in a sealed rigid cylinder, the volume is constant ():
The increase in entropy is approximately .
Mass of gas,
Gas constant,
Specific heat at constant volume,
Initial temperature,
Work done on the system, (stirrer work)
Process is adiabatic, so heat transfer .From the First Law of Thermodynamics for a closed system:
The change in entropy for an ideal gas is given by:
Since the gas is contained in a sealed rigid cylinder, the volume is constant ():
The increase in entropy is approximately .
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 Laws & Properties
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 …