A gas mixture consists of 4 kg of O2, 5 kg of N2, and 7 kg of CO2. Determine (a) the mass fraction of each component, (b) the mole fraction of each component, and (c) the average molar mass and gas constant of the mixture.

See explanation.

Explanation:

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(a) In this case, one uses the following formulas, which allow to compute the mass fraction of each component:

(b) For the mole fractions, it is necessary to find all the components' moles by using their molar mass as shown below:

Now, the mole fractions:

(c) Finally the average molar mass is computed considering the molar fractions and each component's molar mass:

And the gas constant:

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