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Avogadro's Law & Gay Lussac's Law

Hydrogen diff...

Question

Hydrogen diffuses six times faster than gas $A$ . The molar mass of gas $A$ is:

72

g/mole

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6

g/mole

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24

g/mole

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36

g/mole

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Solution

The correct option is A $72$ g/mole
From Graaham's Diffusion Law, $\frac{r_{H}}{r_{A}} = \sqrt{\frac{M_{A}}{M_{H}}} ⟹ 6 = \sqrt{\frac{M_{A}}{2}}$

$⟹ \frac{M_{A}}{2} ⟹ M_{A} = 72$ g/mole

Option A is correct.

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