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Question

For A₂(g) <=> 2A(g) , Kc = 0.09 at 300 K. If 0.2 mol A₂ is in a 1 L vessel, what is the degree of dissociation?

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Explanation

Initial: [A₂] = 0.2 M . Let α be the degree of dissociation, [A₂] = 0.2 (1 - α) , [A] = 0.4α . Kc = ([A]²/[A₂]) = ((0.4α)²/0.2 (1 - α)) = 0.09 , 0.8α² = 0.09 (1 - α) , α ≈ 0.3 .