First slide

Rms speed

Question

The rms speed of oxygen at room temperature is about 500m/s The speed of hydrogen at the same temperature is about

Moderate

A

5000m/s
B

2000m/s
C

4000m/s
D

1000 m/s

Solution

The rms speed is given by $v_{rms} = \sqrt{\frac{3 RT}{M_{w}}}$
at constant temperature $v_{rms} \propto \frac{1}{\sqrt{M_{w}}}$
Ratio of V_rms of Oxygen and hydrogen,
$\frac{(V_{rms}) O_{2}}{({v_{rms}}_{}) H_{2}} = \sqrt{\frac{M_{H_{2}}}{M_{O_{2}}}} \Rightarrow \frac{500}{(V_{rms})} = \sqrt{\frac{2}{32}} = \frac{1}{4} = \frac{1}{4} \Rightarrow (V_{rms}) = 2000 m / s$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App