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} $