Assertioon : $1 / 4^{t h}$ of the gas is expelled if air present in an open vessel is heated from $27 ° C$ to $127 ° C .$
Reason : Rate of diffusion of a gas is inversely proportional to the square root of its molecular mass.

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If the assertion and reason both are false.

If assertion is true but reason is false.

If both assertion and reason are true but reason is not the correct explantion of the assertion.

If both assertion and reason are true and the reason is the correct explantion of the assertion.

answer is B.

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Detailed Solution

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$ (Initial fraction) $\frac{V_{1}}{V_{2}} = 1$ when temperature is $27 ° C .$ At $127 ° C$ the new fraction is $\frac{V_{1}}{V_{2}} = \frac{300}{400} = \frac{3}{4}$

$∴$ air expelled $\Rightarrow 1 - \frac{3}{4} = \frac{1}{4}$

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