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Kinetic Theory of Gases

Ammonia gas d...

Question

Ammonia gas diffuses twice as fast as a gas $x$ . Find the molecular weight of gas $x$ .

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Solution

$\frac{D_{{N H}_{3}}}{D_{x}} = \frac{\sqrt{M_{x}}}{\sqrt{M_{{N H}_{3}}}} ⟹ 2 = \frac{\sqrt{M_{x}}}{\sqrt{17}} ⟹ M_{x} = 68 g {m o l}^{- 1}$

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