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Q.

8 moles of SO₃ and 2 moles of O₂ are initially taken in a closed vessel of 2 lit capacity. The mixture is heated till equilibrium is reached. At equilibrium 4 moles of O₂ is present. Kc for 2SO₃ $⇌$ 2SO₂ + O₂ at same temperature is (M = Mole / lit )

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a

2 M²

b

2 M^-2

c

2 M^-1

d

2 M

answer is A.

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Detailed Solution

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$initial moles 8 0 2 2 {SO}_{3} ⇌ 2 {SO}_{2} + O_{2} moles at ⇌ 8 - 2 x 2 x 2 + x 2 + x = 4; x = 2 moles at equilibrium {SO}_{3} = 8 - 2 (2) = 4; [{SO}_{3}] = \frac{4}{2} = 2 M {SO}_{2} = 2 x = 4; [{SO}_{2}] = \frac{4}{2} = 2 M [O_{2}] = \frac{4}{2} = 2 M K_{C} = \frac{{[{SO}_{2}]}^{2} [O_{2}]}{{[{SO}_{3}]}^{2}} = 2 M$

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