Kinetic Theory Of Gases Question 129

Question: If the ratio of vapour density for hydrogen and oxygen is $ \frac{1}{16} $ , then under constant pressure the ratio of their rms velocities will be

Options:

A) $ \frac{4}{1} $

B) $ \frac{1}{4} $

C) $ \frac{1}{16} $

D) $ \frac{16}{1} $

Show Answer

Answer:

Correct Answer: A

Solution:

$ v _{rms}=\sqrt{\frac{3p}{\rho }},\Rightarrow ,\frac{v _{1}}{v _{2}}=\sqrt{\frac{{\rho _{1}}}{{\rho _{2}}}}=\sqrt{\frac{1}{16}}=\frac{1}{4}$



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