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Question

We have two vessels of equal volume, one filled with hydrogen and the other with an equal mass of Hellum. The common temperature is 27C. What is the relative number of molecules in the two vessels?

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Solution

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 H2 and He gases. Since molecular masses of H2 and He are in the ratio 1:2, their number of molecules nH and nHe in the vessels must be in the reverse ratio, that is, nHnHe=21.

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