Thermodynamics Question 337

Question: Direction: An ideal diatomic gas is confined in a cylinder A of volume $ V _{0}, $ this cylinder is connected to another cylinder B with the help of tube of a negligible volume. The cylinder B is fitted with a movable piston which can be adjusted from outside. Initially, the piston is adjusted so that volume of B is the same as volume of A i.e., $ V _{0} $ . B is evacuated and the stopcork is opened so that gas expands and occupies the volume $ 2V _{0} $ . [System is thermally isolated from the surroundings].During this free expansion, the internal energy of the system. Now with the stop-cork open, the piston is slowly moved to compress the gas back to cylinder A at temperature T. For this

Options:

A) increases

B) decreases

C) remains constant

D) nothing can be said

Show Answer

Answer:

Correct Answer: C

Solution:

[c] For present case, $ dQ=0,dW=0, $ so $ dU=0 $ .



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