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 $