First slide

Kinetic theory of ideal gases

Question

Four molecules of a gas have speeds 1, 2, 3 and 4 km s^-1. The value of the root mean square speed of the gas molecule is

Moderate

A

$\frac{1}{2} \sqrt{15} {kms}^{- 1}$
B

$\frac{1}{2} \sqrt{10} {kms}^{- 1}$
C

$2 .5 {kms}^{- 1}$
D

$\sqrt{15 / 2} {kms}^{- 1}$

Solution

The rms speed $= {[\frac{1^{2} + 2^{2} + 3^{2} + 4^{2}}{4}]}^{1 / 2}$
$= \sqrt{\frac{15}{2}} {kms}^{- 1}$
Hence the correct choice is (d).

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