Kinetic Theory Of Gases Question 171

Question: During an experiment an ideal gas obeys an additional equation of state $ P^{2}V=\text{constant}\text{.} $ The initial temperature and volume of gas are T and V, respectively. When it expands to volume 2V, then its temperature will be

Options:

A) T

B) $ \sqrt{2}T $

C) 2T

D) $ 2\sqrt{2}T $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ P^{2}V=\text{constant;} $ and $ P=\frac{nRT}{V} $

$ \

Therefore $ $ T\propto \sqrt{V} $