GATE ME 2022 Set 2 — Question 60
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardZeroth & First LawsLaws & PropertiesThermodynamicsIdeal & Real Gas Behaviour
Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour
Last updated
Question
A rigid tank of volume of is being filled up with air from a pipeline connected through a valve. Initially the valve is closed and the tank is assumed to be completely evacuated. The air pressure and temperature inside the pipeline are maintained at and , respectively. The filling of the tank begins by opening the valve and the process ends when the tank pressure is equal to the pipeline pressure. During the filling process, heat loss to the surrounding is . The specific heats of air at constant pressure and at constant volume are and , respectively. Neglect changes in kinetic energy and potential energy. The final temperature of the tank after the completion of the filling process is _________ K (round off to the nearest integer).
Correct answer
385 to 405
Solution
Using the energy balance for an unsteady flow process (filling a tank):
Given:
Substitute :
Rounding to the nearest integer, we get 395 K.
Given:
- Initially evacuated:
- No work done:
- Mass balance:
- Heat loss:
- Pipeline properties: ,
- Final state: ,
- Gas constant
Substitute :
Rounding to the nearest integer, we get 395 K.
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 …