A system, consisting of (2 mathrm{~mol}) of (mathrm{N}_{2}, 5 mathrm{~mol}) of (mathrm{H}_{2}) and (2 mathrm{~mol}) of (mathrm{NH}_{3})

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A system, consisting of \(2 \mathrm{~mol}\) of \(\mathrm{N}_{2}, 5 \mathrm{~mol}\) of \(\mathrm{H}_{2}\) and \(2 \mathrm{~mol}\) of \(\mathrm{NH}_{3}\) initially, is undergoing the following reaction:

\[ \mathrm{N}_{2}+3 \mathrm{H}_{2} \rightarrow 2 \mathrm{NH}_{3} \]

Derive the expression for the mole fractions of various constituents in the reaction mixture in terms of extent of reaction.

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