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Molecular Speeds - Vrms, Vavg, Vmps

Find the rati...

Question

Find the ratio of the mean speed of hydrogen molecules to the mean speed of nitrogen molecules in a sample containing a mixture of the two gases.

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Solution

We know

$V_{a v g} = \frac{\sqrt{8 R T}}{\sqrt{π M}}$

$\frac{V_{a v g} H_{2}}{V_{a v g} N_{2}} = \frac{\sqrt{8 \times R T}}{\sqrt{π \times 2}} \times \frac{\sqrt{π \times 28}}{\sqrt{8 R T}}$

= $\sqrt{\frac{28}{2}} = \sqrt{14}$ = 3.74

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Molecular Speeds - Vrms, Vavg, Vmps

Standard XII Chemistry

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