Consider the dissociation of 1 mole of nitrogen tetroxide according to the following reaction: [ mathrm{N}_{2} mathrm{O}_{4}

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Consider the dissociation of 1 mole of nitrogen tetroxide according to the following reaction:

\[ \mathrm{N}_{2} \mathrm{O}_{4} \rightarrow 2 \mathrm{NO}_{2} \]

Prove that the equilibrium constant in terms of reaction co-ordinate \(Y\) at equilibrium pressure is

\[ K=\frac{4 Y^{2} P}{1-Y^{2}} \]

The gas phase reaction is assumed to behave ideally.

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