SATHEE: Thermodynamics Question 339

Thermodynamics Question 339

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 $2 V_{0}$ . [System is thermally isolated from the surroundings].The heat absorbed by the gas is

Options:

A) $n R T \ln 2$

B) $- n R T \ln 2$

C) nRT

D) $- n R T$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] From 1st law of thermodynamics,

$d Q = d U + d W$

$\Rightarrow d U = 0$ for constant temperature process

$\Rightarrow d Q = d W$

$\Rightarrow d Q = - n R T \ln 2$

Negative sign shows that heat is released by the system.

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Thermodynamics Question 339

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