First slide

Rms speed

Question

At a pressure of $24 \times 10^{5} dyn {cm}^{- 2}$ , the volume of O₂ is 10 1 and mass is 20 g. The rms velocity will be

Moderate

A

$800 {ms}^{- 1}$
B

$400 {ms}^{- 1}$
C

$600 {ms}^{- 1}$
D

data is incomplete

Solution

$C = \sqrt{\frac{3 PV}{M}}$
$= \sqrt{\frac{3 \times 24 \times 10^{5} \times 10 \times 100}{20}} {cms}^{- 1}$
$= 6 \times 10^{4} {cms}^{- 1} = 600 {ms}^{- 1}$

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