In this case, it can be see that we have a gas mixture wherein hydrogen has a partial pressure of 0.545 bar, nitrogen 0.517 bar and argon 0.107 bar and we are asked to calculate the mole fraction of each gas.
According to the given information, it turns out possible for us to use the Dalton's law in order to calculate the mole fraction of each gas in the mixture. However, we first must calculate the total pressure of the mixture by adding them all together:
[tex]P_T=0.545bar+0.517bar+0.107bar=1.169bar[/tex]
After so, we proceed to the mole fractions by dividing the pressure of each by the total one:
[tex]x_{H_2}=\frac{0.545bar}{1.169bar} =0.466\\\\x_{N_2}=\frac{0.517bar}{1.169bar} =0.442\\\\x_{Ar}=\frac{0.107bar}{1.169bar} =0.092[/tex]
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