Kinetic Theory Of Gases Question 166
Question: At what temperature is the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at $ 47{}^\circ C $ ?
Options:
A) 80 K
B) 3 K
C) - 73 K
D) 20 K
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ v _{H}=v _{o} $
$ \Rightarrow $ $ \sqrt{\frac{3RT}{M _{H}}}=\sqrt{\frac{3R(47+273)}{M _{o}}} $
$ \Rightarrow $ $ \frac{T}{I}=\frac{320}{16}\Rightarrow ,T=20,K $