The following reaction takes place in a system consisting of (3 mathrm{~mol} mathrm{CH}_{4}), (1 mathrm{~mol} mathrm{H}_{2} mathrm{O},

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The following reaction takes place in a system consisting of \(3 \mathrm{~mol} \mathrm{CH}_{4}\), \(1 \mathrm{~mol} \mathrm{H}_{2} \mathrm{O}, 1 \mathrm{~mol} \mathrm{CO}\) and \(4 \mathrm{~mol}_{2}\) initially:

\[ \mathrm{CH}_{4}+\mathrm{H}_{2} \mathrm{O} \rightarrow \mathrm{CO}+3 \mathrm{H}_{2} \]

Express the composition of the mixture in terms of mole fraction as a function of extent of reaction.

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