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Derivation of Kp and Kc

For the react...

Question

For the reaction
$A (g) ⇌ B (g); K_{1} = 10$
$B (g) ⇌ C (g); K_{2} = 2$
$C (g) ⇌ D (g); K_{3} = 0.01$
Calculate $K_{c}$ for the reaction $D (g) ⇌ A (g)$

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Solution

$K_{c}$ for the reaction $D (g) ⇌ A (g)$ is
$K_{c} = \frac{1}{K_{1} K_{2} K_{3}} = \frac{1}{10 \times 2 \times 01} = 5$

So, the correct answer is 5

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