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Equipartition Theorem

At high tempe...

Question

At high temperature of $727^{\circ} C$ a dynamic equilibrium exists between $C O, C O_{2}$ and solid carbon.
$C (s) + C O_{2} (g) ⇌ 2 C O (g)$ ; $K_{c} = 0.1 M$
Then value of $K_{p}$ at given temperature is:

82.1 a t m

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0.821 a t m

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0.0821 a t m

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8.21 a t m

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Solution

The correct option is D $8.21 a t m$
Given, $K_{c} = 0.1 M$
$Temperature, T = 727^{\circ} C = 727 + 273 K = 1000 K$
We know,
$K_{p} = K_{c} (R T)^{(Δ n)_{g}}$
The equilibrium given is,
$C (s) + C O_{2} (g) ⇌ 2 C O (g)$
$∴ (Δ n)_{g} = 2 - 1 = 1$
Hence,
$K_{p} = 0.1 \times 0.0821 \times 1000 a t m$
$K_{p} = 8.21 atm$

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