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Reaction with Metals

A metallic ca...

Question

A metallic carbonyl $M (C O)_{x}$ is in gaseous state. The rate of diffusion of $C H_{4}$ is 3.31 time faster than this gas under identical conditions. If atomic mass of metal is 63.29, the closest integer value of $x$ is ....

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Solution

as we know,
rate of diffusion of a gas is inversely proportional to square root of molar mass so
$r_{1} / r_{2} = \sqrt{M_{2} / M_{1}}; 3.31 = 63.3 + x * 28 / 16$
So, $x$ ~ 4.

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