Kinetic Theory Of Gases Question 128
Question: By what factor the r.m.s. velocity will change, if the temperature is raised from $ 27{}^\circ C $ to $ 327{}^\circ C $
Options:
A) $ \sqrt{2} $
B) 2
C) $ 2\sqrt{2} $
D) 1
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ v _{rms}\propto \sqrt{T} $
Therefore $ \frac{v _{1}}{v _{2}}=\sqrt{\frac{T _{1}}{T _{2}}} $
$ =\sqrt{\frac{(273+27)}{(273+327)}}=\sqrt{\frac{300}{600}}=\frac{1}{\sqrt{2}} $
$ \Rightarrow v _{2}=\sqrt{2}v _{1} $
BETA
