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Derivation of Kp and Kc

log K P / K C...

Question

$log \frac{K_{P}}{K_{C}} + log R T = 0$ is a relationship for the reaction:

A

P C l_{5} (g) \to P C l_{3} (g) + C l_{2} (g)

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B

2 S O_{2} (g) + O_{2} (g) \to 2 S O_{3} (g)

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C

H_{2} (g) + I_{2} (g) ⇌ 2 H I (g)

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D

N_{2} (g) + 3 H_{2} (g) ⇌ 2 N H_{3} (g)

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Solution

The correct option is B $2 S O_{2} (g) + O_{2} (g) \to 2 S O_{3} (g)$
Using $K_{p} = K_{C} (R T)^{Δ n_{g}}$
Taking log on both side
$l o g K_{p} = l o g K_{c} + Δ n_{g} log R T$
$log \frac{K_{P}}{K_{C}} = Δ n_{g} log R T$
So, $Δ n_{g} = - 1$
$Δ n_{g} = Number of mole of gaseous product - Number of mole of gaseous reactant$
So for reaction,
$2 S O_{2} (g) + O_{2} (g) ⇌ 2 S O_{3} (g)$
$Δ n_{g} = 2 - 3 = - 1$
Hence option (b) is correct.

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Derivation of Kp and Kc

Standard XII Chemistry

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