The ionic product of water ( ) at is

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

Problem

The ionic product of water (KwK_w) at 40 ∘C40\,^{\circ}\text{C} is 3.00×10−73.00\times10^{-7}, differing from its value at 25 ∘C25\,^{\circ}\text{C}. A chemist prepares a 0.0100 M KOH solution and maintains it at 40 ∘C40\,^{\circ}\text{C}. (1) Part 1: Determine the molar concentration of hydroxide ions in the solution at 40 ∘C40\,^{\circ}\text{C}. (2) Part 2: Calculate the pOH of the solution at 40 ∘C40\,^{\circ}\text{C}. (3) Part 3: Using the provided value of KwK_w, calculate the pH of the solution at 40 ∘C40\,^{\circ}\text{C}. (4) Part 4: Calculate what the pH of the same 0.0100 M KOH solution would be if it were instead held at 25 ∘C25\,^{\circ}\text{C}. (5) Part 5: Explain, in terms of KwK_w, why pH and pOH no longer sum to 14 at 40 ∘C40\,^{\circ}\text{C}.

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