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One mole of O2(g) and two moles of SO2(g) were heated in a closed vessel of one-litre capacity at 1098 K. At equilibrium 1.6 moles of SO3(g) were found. The equilibrium constant Kc of the reaction would be

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One mole of O2(g) and two moles of SO2(g) were heated in a closed vessel of one-litre capacity at 1098 K. At equilibrium 1.6 moles of SO3(g) were found. The equilibrium constant Kc of the reaction would be

(a) 30

(b) 40

(c) 80

(d) 60

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Correct answer: (c) 80

Explanation:

         O2(g) + 2SO2 ⇌ 2SO3

at t = 0   1      2           0

at equil. (1 - α)  2(1 - α) 2α

Given at equilibrium

2α = 1.6

α = 0.8

Kc = \(\frac{(2α)^2}{(1 - α)(2 -2α)^2}\)

= \(\frac{(0.8)^2}{(1-0.8)(1-0.8)^2}\)

= \(\frac{0.64}{0.008}\)

Kc = 80

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