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Exercises · 9.18

Q.What do you understand by the term 'auto-protolysis' of water? What is its significance?

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Auto-protolysis (self-ionisation) of water refers to the reaction of water molecules with each other, in which one water molecule donates a proton (H⁺) to another:

H2O(l)+H2O(l)⇌H3O+(aq)+OH−(aq)H_2O(l) + H_2O(l) \rightleftharpoons H_3O^+(aq) + OH^-(aq)

Here, one water molecule acts as a Brønsted acid (proton donor, becoming OH⁻) and the other acts as a Brønsted base (proton acceptor, becoming H3O⁺). This is only possible because water is amphoteric — capable of acting as both acid and base.

Significance:

  • It shows directly that pure water contains small, exactly equal concentrations of H3O⁺ and OH⁻ ions, even in the absence of any added acid or base.
  • This equilibrium defines the ionic product of water, Kw=[H3O+][OH−]K_w = [H_3O^+][OH^-], which has the value 1×10−141 \times 10^{-14} at 298 K.
  • KwK_w is the foundation of the pH scale: in pure water [H3O+]=[OH−]=10−7 mol L−1[H_3O^+] = [OH^-] = 10^{-7}\ mol\,L^{-1}, giving pH = 7 (neutral); it also underlies how acidic/basic solutions are quantitatively defined and related (pH+pOH=14pH + pOH = 14 at 298 K). …

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