First slide

Rms speed

Question

The ratio of the vapour densities of two gases at the same temperature is 8 : 9. The ratio of the rms velocities of their molecules is

Moderate

A

$8 : 9$
B

9 : 8
C

$\sqrt{9} : \sqrt{8}$
D

$\sqrt{8} : \sqrt{9}$

Solution

$\frac{C_{1}}{C_{2}} = \sqrt{\frac{ρ_{2}}{ρ_{1}}} = \sqrt{\frac{9}{8}}$

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