NEET-XII-Physics
24: Kinetic Theory of Gases
- #19Find 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.Ans : We know,
`` {V}_{avg}=\sqrt{\frac{8RT}{\pi M}}``
Molar mass of H2 = MH = 2`` \times ``10-3 kg
Molar mass of N2 = MN = 28`` \times ``10-3 kg
Now,
`` <V{>}_{H}=\sqrt{\frac{8RT}{\pi {M}_{H}}}``
`` <V{>}_{N}=\sqrt{\frac{8RT}{\pi {M}_{N}}}``
`` \frac{<V{>}_{H}}{<V{>}_{N}}=\sqrt{\frac{{M}_{N}}{{M}_{H}}}=\sqrt{\frac{28}{2}}=\sqrt{14}=3.74``
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