First slide

Gaseous state

Question

One molecule is moving at a speed of 1 ms^-1 and two molecules are moving at 2 ms^-1. Hence, root mean Square velocity is

Moderate

A

1 ms^-1
B

1.67 ms^-1
C

3 ms^-1
D

1.73 ms^-1

Solution

$u (rms) = \sqrt{\frac{{Σu}^{2}}{Σn}} = \sqrt{\frac{N_{1} u_{1}^{2} + N_{2} u_{2}^{2}}{N_{1} + N_{2}}} = \sqrt{\frac{1 + 2 \times 4}{1 + 2}}$
$= 1 .73 {ms}^{- 1}$

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