First slide

Rms speed

Question

If the rms velocity of oxygen molecule at certain temperature is 0.5 km/s, the rms velocity for hydrogen molecule at the same temperature will be:

Easy

A

2 km/s
B

4 km/s
C

9 km/s
D

16 km/s

Solution

$v_{rms} \infty \frac{1}{\sqrt{M_{w}}}$
$\frac{v_{1}}{v_{2}} = \sqrt{\frac{M_{2}}{M_{1}}} = \sqrt{\frac{2}{32}} = \frac{1}{4} v_{H_{2}} = 4 v_{O_{2}} = 2 km / s$

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