First slide

Rms speed

Question

If most probable speed of hydrogen molecules at $27^{o} C$ is V, then the rms speed of the molecules at $127^{o} C$ is

Moderate

A

$\frac{V}{\sqrt{6}}$
B

$\frac{V}{\sqrt{2}}$
C

2V
D

$\sqrt{2} V$

Solution

Most probable speed $\sqrt{\frac{2 KT}{m}} = \sqrt{\frac{2 K \times 300}{m}} = V$
$V_{rms} = \sqrt{\frac{3 KT}{m}} = \sqrt{\frac{3 K \times 400}{m}}$
$∴ \frac{V_{rms}}{V} = \sqrt{\frac{3 K \times 400}{m} \times \frac{m}{2 K \times 300}} = \sqrt{\frac{12}{6}} = \sqrt{2}$
$∴ V_{rms} = \sqrt{2} V$

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