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3 ideal gases (hydrogen M = 2 kg/kmol, nitrogen M = 28 kg/kmol, methane M =...

3 ideal gases (hydrogen M = 2 kg/kmol, nitrogen M = 28 kg/kmol, methane M = 16 kg/kmol) in a rigid container of volume 11.4874 m^3 are at a pressure of 1013.25 kPa.

The mass of container is 100 kg and the mass of the gases in total is 75 kg. The average molar mass of the gas mixture is 20 kg/kmol.

If the partial pressure of methane is 202.65 kPa, what is the mole fraction of nitrogen and hydrogen?

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