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Q.

The equilibrium constants for the stepwise formation of $M C l, M C l_{2} a n d M C l_{3}$ are a, b and c respectively. If the equilibrium constant of formation of $M C l_{3}$ is k, which of the following is correct?

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a

$k = \frac{1}{a} \times \frac{1}{b} \times \frac{1}{c}$

b

K=a+b+c

c

$\log K = \log a + \log b + \log c$

d

$\frac{1}{k} = \frac{1}{a} + \frac{1}{b} + \frac{1}{c}$

answer is C.

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Detailed Solution

$M + C l ⇌ M C l; K_{c} = a ......... (1)$
$M C l + C l ⇌ M C l_{2}; K_{c} = b ......... (2) M C l_{2} + C l ⇌ M C l_{3}; K_{c} = C ......... (3)$

Add (1)(2)&(3)
$M + 3 C l ⇌ M C l_{3}; K = a \times b \times c ∴ \log k = \log a + \log b + \log c$

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