At a certain temperature, 0.10 mole of \( \mathrm{H}_{2} \) and 0.10 mole of \( \mathrm{I}_{2} \) were placed in a 1.0 L flask. The purple colour of iodine vapor was used to monitor the reaction. After the equilibrium was established. It was found that the concentration of \( \mathrm{I}_{2} \) decreased to \( 0.02 \mathrm{~mole} / \mathrm{L} \) . Calculate the value of \( \mathrm{K}_{\mathrm{c}} \) for the reaction at the given temperature.

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