If V_{rms} for O₂ molecules is V at temperature T, K . Then V_{rms} for oxygen atoms at temperatur

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12.Kinetic Theory of Gases

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If $V_{rms}$ for $O_2$ molecules is $V$ at temperature $T\, K$. Then $V_{rms}$ for oxygen atoms at temperature $2T$ will be

A

$\frac{V}{2}$

B

$2V$

C

$\sqrt 2 V$

D

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

Solution

$\mathrm{V} \propto \sqrt{\frac{\mathrm{T}}{\mathrm{M}_{w}}}$

$\mathrm{T}^{\prime} \rightarrow 2 \mathrm{T}$

$\left(M_{w}\right)^{\prime}=\left(\frac{M_{w}}{2}\right)$

So $\mathrm{V}^{\prime} \Rightarrow 2 \mathrm{V}$

Standard 11

Physics

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