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  • We have two vessels of equal volume, one filled with hydrogen and the other with equal mass of Helium. The common temperature is <img alt="27^{\circ} \mathrm{C}" src="https://entrancecorner.oncodec

We have two vessels of equal volume, one filled with hydrogen and the other with equal mass of Helium. The common temperature is 27^{\circ} \mathrm{C}.

Question : What is the relative number of molecules in the two vessels ?

Option: 1

\frac{\mathrm{n}_{\mathrm{H}}}{\mathrm{n}_{\mathrm{He}}}=\frac{1}{1}


Option: 2

\frac{\mathrm{n}_{\mathrm{H}}}{\mathrm{n}_{\mathrm{He}}}=\frac{5}{1}


Option: 3

\frac{\mathrm{n}_{\mathrm{H}}}{\mathrm{n}_{\mathrm{He}}}=\frac{2}{1}


Option: 4

\frac{\mathrm{n}_{\mathrm{H}}}{\mathrm{n}_{\mathrm{He}}}=\frac{3}{1}


Answers (1)

best_answer

The masses of hydrogen and helium gases in the vessels are equal. This means that the product of the number of molecules and the mass of a molecule must be same for \mathrm{H}_{2} and He gases. Since molecular masses of \mathrm{H}_{2} and \mathrm{He} are in the ratio 1: 2, their number of molecules \mathrm{n}_{\mathrm{H}} and \mathrm{n}_{\mathrm{He}} in the vessels must be in the reverse ratio, that is, \mathrm{\frac{n_{H}}{n_{\mathrm{He}}}=\frac{2}{1}}

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Rakesh

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