Sample A contains one gram molecule of oxygen molecule and sample B contains one mole of oxygen molecule. What is the ratio of the number of molecules in both the samples.

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Solution

One gram molecule of oxygen molecule means 32g of O₂ molecule. This mass of O₂ is equal the molar mass of oxygen molecule. We know that the molar mass is the mass of one mole of a substance and is equal to 6.022 X 10²³ particles of that substance. So, one gram molecule of O₂ would consist of 6.022 X 10²³ molecules of O₂.
Hence the ratio of number of molecules in one gram molecule of O₂ and one mole of O₂ is 1 : 1.

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