PCl_ 5 is dissociating 50 \% at 250^ ^ C at a total pressure of P...

\mathrm{PCl}_{5}

is dissociating

50 \%

250^{{}^{\circ}} \mathrm{C}

at a total pressure of

\mathrm{P}

atm. If equilibrium constant is

\mathrm{K}_{p}

, then which of the following relation is numerically correct - $PCl_ 5 is dissociating 50 \% at 250^ ^ C at a total pressure of P atm. If equilibrium constant is K_ p , then which of$

Options

A $\mathrm{K}_{p}=3 \mathrm{P}$
B $\mathrm{P}=3 \mathrm{ K}_{p}$
C $\mathrm{P}=\frac{2 K_{\mathrm{P}}}{3}$
D $\mathrm{ K}_{p}=\frac{2 \mathrm{P}}{3}$

Correct answer

B. $\mathrm{P}=3 \mathrm{ K}_{p}$

Step-by-step solution

$PCl_ 5 is dissociating 50 \% at 250^ ^ C at a total pressure of P atm. If equilibrium constant is K_ p , then which of$

\mathrm{K}_{\mathrm{p}}=\frac{\frac{\mathrm{P}}{3} \times \frac{\mathrm{P}}{3}}{\frac{\mathrm{P}}{3}}=\frac{\mathrm{P}}{3}

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