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Question

For the equilibrium P(g) + Q(g) <=> R(g) , if Kc = 2.0 and initial moles of P and Q are 1 each in a 1 L vessel, what is [R] at equilibrium?

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Explanation

Let [R] = x , [P] = 1 - x , [Q] = 1 - x . Kc = ([R]/[P][Q]) = (x/(1 - x)²) = 2.0 . Solving, x = 2(1 - x)² , let y = 1 - x , 1 - y = 2y² , 2y² + y - 1 = 0 , y = 0.5 , x = 1 - 0.5 = 0.5 M .

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