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Question

CH3COOH+H2OCH3COO+H3O+;K1=1.8×105
2H2OH3O++OH,K2=1×1014
Equilibrium constant for reaction
CH3COOH+OHCH3COO+H2O is x×109. Find 'x'.

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Solution

Equilbrium constant for the reaction
CH3COOH+H2OCH3COO+H3O+
K1=[CH3COO][H3O+][CH3COOH][H2O]

Equilibrium constant for the reaction
2H2OH3O++OH
K2=[H3O+][OH][H2O]2

Taking the ratio of K1 and K2
K1K2=[CH3COO][H3O+][CH3COOH][H2O]×[H2O]2[H3O+][OH]
K1K2=[CH3COO][H2O][CH3COOH][OH]
Above ratio is the equilibrium constant of the reaction
CH3COOH+OHCH3COO+H2O
K=K1K2=1.8×1051×1014=1.8×109

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