Practice question
Question
For COCl₂(g) <=> CO(g) + Cl₂(g) , Kc = 0.16 at 700 K. If 0.2 mol COCl₂ and 0.1 mol CO are in a 1 L vessel, what is [Cl₂] at equilibrium?
Explanation
Initial: [COCl₂] = 0.2 M , [CO] = 0.1 M , [Cl₂] = 0 . Let x = [Cl₂] , [COCl₂] = 0.2 - x , [CO] = 0.1 + x . Kc = ([CO][Cl₂]/[COCl₂]) = ((0.1 + x)x/0.2 - x) = 0.16 , 0.1x + x² = 0.032 - 0.16x , x² + 0.26x - 0.032 = 0 , x ≈ 0.11 M .
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