The molecular weights of N2, H and CH4 are, 28, 2 and 16 g/mol, respectively.
Let us now calculate the number moles of each species by using following formula
Number of moles = Weight in g / Molecular weight g/mol
Number of moles of N2 = 12.2 g / 28 g/mol = 0.435 moles
Number of moles of H2 = 5 / 2 = 2.5 moles
Number of moles of CH4 = 7.10 g / 16 = 0.443 moles
The total number of moles present in the mixture = 0.435 + 2.5 + 0.443 = 3.38 moles
The mole fraction for CH4 = number of moles of CH4 / Total number of moles
= 0.443 / 3.38
= 0.131
Therefore, mole fraction of CH4 in the given mixture is, 0.131.
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