Question

root mean square velocity of a molecule is 1000m/s the average velocity of the molecule is?

Answer 1

Average velocity =0.92×rms velocity

A.V=0.92×1000

A.V=920m/s

Average velocity will be 920m/s

Answer 2

Answer : The average velocity of the molecule is, 921.5 m/s

Solution : Given,

Root mean square velocity of a molecule = 1000 m/s

The relation between the root mean square velocity and the average velocity of a molecule will be,

$\mu_{av}=\sqrt{\frac{8RT}{\pi M}}\\\\\mu_{rms}=\sqrt{\frac{3RT}{M}}$

By ratio of the root mean square velocity and the average velocity of a molecule will be,

$\frac{\mu_{av}}{\mu_{rms}}=\sqrt{\frac{8}{\pi \times 3}}=0.9215\\\\\mu_{av}=0.9215\times 1000m/s=921.5m/s$

Therefore, the average velocity of the molecule is, 921.5 m/s