Thermodynamics Question 338
Question: Direction: An ideal diatomic gas is confined in a cylinder A of volume 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., . B is evacuated and the stopcork is opened so that gas expands and occupies the volume . [System is thermally isolated from the surroundings].
Work done on the gas is [for n moles of gas]
Options:
A)
B)
C)
D)
Show Answer
Answer:
Correct Answer: A
Solution:
[a]During compression, process is slow so it is isothermal at constant temperature T.
So, work done,
This is the work done by the system on the surrounding, so work done by the surroundings on the system in nRT ln 2.