The autoionization constant of water increases with temperature

CHEMISTRY · Multi-part · A Level · Chemistry · Acids and bases · Acids and bases

Problem

The autoionization constant of water increases with temperature. At 25 °C the value of KwK_w is 1.0×10−141.0\times10^{-14}, while at 40 °C it is 2.92×10−142.92\times10^{-14}. A chemistry student notices that a perfectly pure sample of water at 40 °C does not register a pH of 7.00 on a high-precision meter and wants to understand why. (a) Calculate pKwpK_w at 40 °C to two decimal places. (b) Determine the pH of neutral water at 40 °C. (c) Explain, in terms of the temperature dependence of the autoionization equilibrium, why the pH of neutral water at 40 °C differs from 7.00 even though the solution contains no added acid or base.

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