The dissociation of phosphorus pentachloride takes place at (250^{circ} mathrm{C}) as [ mathrm{PCl}_{5} ightleftharpoons mathrm{PCl}_{3}+mathrm{Cl}_{2} quad

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The dissociation of phosphorus pentachloride takes place at \(250^{\circ} \mathrm{C}\) as

\[ \mathrm{PCl}_{5} \rightleftharpoons \mathrm{PCl}_{3}+\mathrm{Cl}_{2} \quad K_{P}=1.8 \]

Calculate the pressure (in atm) that is necessary to obtain \(50 \%\) conversion of \(\mathrm{PCl}_{5}\).

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