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        gas A having molecular weight 4 diffuses thrice as fast as the gas B at a given T. The molecular weight of gas B is?
one year ago

							Solution:- (C) 36The rate of diffusion (r) is inversely proportional to the molecular weight (M).$$r \propto \cfrac{1}{\sqrt{M}}$$$$\therefore \; \cfrac{{r}_{A}}{{r}_{B}} = \sqrt{\cfrac{{M}_{B}}{{M}_{A}}}$$Here, $${r}_{A}$$ and $${r}_{B}$$ are the rates of diffusion of the gas A and the gas B and $${M}_{A}$$ and $${M}_{B}$$ are the molecular weight of gas A and gas B respectively.Let the rate of diffusion of the gas B be r, i.e., $${r}_{B} = r$$.As the gas A diffuses thrice as fast as the gas B.$$\therefore$$ rate of diffusion of the gas A $$\left( {r}_{A} \right)= 3r$$Given that molecular weight of A $$\left( {M}_{A} \right) = 4$$$$\therefore \; \cfrac{3r}{r} = \sqrt{\cfrac{{M}_{B}}{4}}$$$$\Rightarrow \; {M}_{B} = 36$$Hence, the molecular weight of B is 36.

one year ago
							Use graham law of diffusion i.e. rate is inversely proportional to square root of Density but as D =MP÷RT but at this condition P,R,T is constant so D is directly proportional to M. So this law can be used as r is Inversely proportional to square root of Molecular weight

one year ago
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