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Derivation of Kp and Kc

For the react...

Question

For the reaction $C (s) + C O_{2} (g) \Leftrightarrow 2 C O$ the partialpressures of $C O_{2}$ and CO are 2.0 and 4.0 atm.respectively at equilibrium. What is the value of $K_{p}$ for this reaction?

A

0.5

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B

4

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C

8

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D

32

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Solution

The correct option is D 8
The equilibrium reaction is $C (s) + C O_{2} (g) \Leftrightarrow 2 C O$ .
The expression for the equilibrium constant is $K_{P} = \frac{[C O]^{2}}{[C O_{2}]}$ .
Substitute values in the above expression.
$K_{P} = \frac{[C O]^{2}}{[C O_{2}]} = \frac{(4.0)^{2}}{2.0} = 8.0$ .

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