First slide

Rms speed

Question

At a certain temperature, the rms velocity for $O_{2}$ is 400 ${ms}^{- 1}$ . At the same temperature, the rms velocity for $H_{2}$ molecules will be

Easy

A

100 ${ms}^{- 1}$
B

25 ${ms}^{- 1}$
C

1600 ${ms}^{- 1}$
D

6400 ${ms}^{- 1}$

Solution

$\frac{C_{H_{2}}}{C_{O_{2}}} = \sqrt{\frac{32}{2}} = 4$
or $C_{H_{2}} = 4 \times C_{O_{2}} = 4 \times 400 {ms}^{- 1} = 1600 {ms}^{- 1}$

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