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A gas mixture contains 25% helium and 75 methane by volume at S.T.P. What is the percentage by mass of the methane in the mixture?
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Calculation of Percentage by Mass of Methane in the Mixture

To calculate the percentage by mass of methane in the gas mixture, we need to know the molar mass of methane and helium.

Molar Mass of Methane and Helium

The molar mass of methane is 16.04 g/mol, and the molar mass of helium is 4.00 g/mol.

Calculation of Molar Ratio

To find the molar ratio of methane to helium, we need to convert the volume percentages to mole fractions.

The mole fraction of methane is 0.75, and the mole fraction of helium is 0.25.

Calculation of Mass Ratio

To calculate the mass ratio, we need to multiply the molar ratio by the ratio of the molar masses.

The mass ratio of methane to helium is (0.75*16.04)/(0.25*4.00) = 3.015.

Calculation of Percentage by Mass

The percentage by mass of methane in the mixture is (3.015/4.015)*100 = 75.2%.

Therefore, the percentage by mass of methane in the gas mixture is 75.2%.
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A gas mixture contains 25% helium and 75 methane by volume at S.T.P. What is the percentage by mass of the methane in the mixture?
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