\( \mathrm{PCl}_{5}, \mathrm{PCl}_{3} \) and \( \mathrm{Cl}_{2} \) are at equilibrium at \( 500 ...

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\( \mathrm{PCl}_{5}, \mathrm{PCl}_{3} \) and \( \mathrm{Cl}_{2} \) are at equilibrium at \( 500 \mathrm{~K} \) and having concentration \( 1.59 \mathrm{M} \mathrm{PCl}_{3}, 1.59 \mathrm{M} \mathrm{Cl}_{2} \) and \( 1.41 \mathrm{M} \mathrm{PCl}_{5} \).
Calculate \( K_{c} \) for the reaction.
\[
\mathrm{PCl}_{5} \rightleftharpoons \mathrm{PCl}_{3}+\mathrm{Cl}_{2}
\]
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