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JEE Main levelSingle correct optionDifficulty 2 of 3ce181

$PCl X_{5}$ is 40\% dissociated at a total equilibrium pressure of $2.0 atm$ for $PCl X_{5} (g) PCl X_{3} (g) + Cl X_{2} (g)$ . $K_{p}$ (in atm) is

A $0.53$
B $0.19$
C $0.89$
D $0.38$

Answer: D

K_{p} = α^{2} P / (1 - α^{2}) = (0.16 \times 2.0) /0.84 = 0.381 atm

. Using

1 - α

instead of

1 - α^{2}

gives 0.53.

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