For reaction: at and 1 atm pressure. The for the same reaction is _______ . (Nearest integer) [2023]

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Solution

Q.
For reaction: ${SO}_{2} (g) + \frac{1}{2} O_{2} (g) ⇌ {SO}_{3} (g)$

$K_{p} = 2 \times 10^{12}$ at $27 ° C$ and 1 atm pressure. The $K_{C}$ for the same reaction is _______ $\times 10^{13}$ . (Nearest integer)

$(Given R = {0.082 L atm K}^{- 1} {mol}^{- 1})$ [2023]

Ans.
(1)

$k_{p} = k_{c} {(R T)}^{Δ n}$

$k_{c} = \frac{k_{p}}{{(R T)}^{Δ n}} = \frac{2 \times 10^{12}}{{(0.082 \times 300)}^{- 1 / 2}} = 2 \times 10^{12} \times 4.95 = 0.99 \times 10^{13}$

$\approx 1 \times 10^{13}$

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