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127 ml of a certain gas diffuses at the same time as 100 ml of chlorine under the same conditions, if the molecular weight of the gas is X, then the nearest integer value of X is ____

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Detailed Solution

●        According to the Graham's Law of Diffusion Rate of Diffusion ∝ 1/√{Molar Mass}.
●        V1/V2 = √{D2/D2} = √{M2/M1}
where V represents Volume,D represents density and M is for Molar Mass.
●        Volume for Chlorine is 100ml and for unknown gas is 127 ml,chlorine gas is 71 amu and for unknown it's X.
●        127/100 = √{71/X}
On solving we get X= 44.02 ≈ 44 amu
●        Hence answer is 44.

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