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Q.

Equilibrium constant for the reactions:
$2 NO + O_{2} ⇌ 2 {NO}_{2}$ is $K_{C_{1}}$ ;
${NO}_{2} + {SO}_{2} ⇌ {SO}_{3} + NO$ is $K_{C_{2}}$ and
$2 {SO}_{3} ⇌ 2 {SO}_{2} + O_{2}$ is $K_{C_{3}}$
then correct relation is :

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a

$K_{C_{3}} = K_{C_{1}} \times K_{C_{2}}$

b

$K_{C_{3}} \times K_{C_{1}} \times K_{C_{2}} = 1 ($

c

$K_{C_{3}} \times K_{C_{1}} \times K_{C_{2}}^{2} = 1$

d

$K_{C_{3}} \times K_{C_{1}}^{2^{1}} \times K_{C_{2}} = 1$

answer is B.

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Detailed Solution

We have;

$R \times NI + R \times NIII + 2 \times R \times NII = 0$

$\Rightarrow K_{C_{1}} \times K_{C_{3}} \times {(K_{C_{2}})}^{2} = 1$

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