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jnicholson

The equilibrium reaction, causes the water dissociation constant, Kw, is 1.01 × 10-14 at 25 °C. That is because every H+ (H3O+) ion these forms accompanied by the formation of an OH- ion, are the concentrations of these ions and in pure water the same thing can be calculated from Kw. 

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Answer:The equilibrium constant of pure water is \(K_{eq}=1\times 10^{-14}\)

Explanation:

\(H_2O+H_2O\rightleftharpoons H_3O^++OH^-\)

\(K_{eq}=\frac{[H_3O^+][OH^-]}{[H_2O][H_2O]}\)

\(K_i=K_{eq}\times [H_2O]}=\frac{[H_3O^+][OH^-]}{[H_2O]}\)

\(K_i=\text{Ionization constant of water}\)

Since,the water is found to be poorly ionized ,concentration of pure water practically remains the same. So, concentration of water can be combined with \(K_i\) to give new constant known as ionic product of water that is \(K_w\).

\(K_w=K_i\times [H_2O]=[H_3O^+][OH^-]\)

In pure water:

\([H_3O^+]=1\times 10^{-7} M]=[OH^-]\)

\(K_w=1\times 10^{-14}M^2\)

\(K_w=K_{eq}=1\times 10^{-14}\)

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