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

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
$n \propto \frac{1}{T} {n_{1} T}_{1} = {n_{2} T}_{2} ⟹ \frac{n_{1}}{n_{2}} = \frac{T_{2}}{T_{1}} ⟹ \frac{n_{1}}{n_{2}} = \frac{273 + 127}{273 + 27} = \frac{400}{300} = \frac{4}{3} ⟹ \frac{n_{2}}{n_{1}} = \frac{3}{4} ⟹ \frac{n_{2} - n_{1}}{n_{1}} = \frac{1}{4}$
Assertion is correct.
$r \propto \frac{1}{\sqrt{M}}$ , Reason is correct.

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Assertion :1/4th of the gas is expelled if air present in an open vessel is heated from 27oC to 127oC. Reason: Rate of diffusion of a gas inversely proportional to the square root of its molecular mass.

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertionn∝1Tn1T1=n2T2⟹n1n2=T2T1⟹n1n2=273+127273+27=400300=43⟹n2n1=34⟹n2−n1n1=14Assertion is correct.r∝1√M, Reason is correct.

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