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At 200^(@)C, the equilibrium N(2)O(4)(g)...

At `200^(@)C`, the equilibrium `N_(2)O_(4)(g)hArr2NO_(2)(g) is achieved in the following two pathways:
(i) 0.1 mol `N_(2)O_(4)` is heated in a closed vassel of 1 L volume.
(ii) a mixture of 0.05 mol `N_(2)O_(4)`(g) and 0.05 mol `NO_(2)(g)` is heated at `200^(@)C` in a closed vessel of 1 L volume. in these two cases, will the equilibrium concentrations of `N_(2)O_(4)(g) and NO_(2)(g)` and the values of equilibrium constants be the same?

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The value of equilibrium constant of a reaction depends only on temperature it does not depend on the initial concentrations of the reactants. Since temperature is the same for both experiments, the value of equilibrium constant will be the same in both cases. the initial concentrations of the reactant(s) in the two experiment are not the same. As a result, the molar concentrations of `N_(2)O_(4)(g) and NO_(2)(g)` at equilibrium will be different in the two experiments.
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