IB DP Chemistry: SL复习笔记8.2.5 Acid-Base Calculations

Acid-Base Calculations

  • Using the relationships between pH, [H⁺] and [OH⁻] a variety of problems can be solved

pH = - log [H+]    and    Kw = [H+] [OH-]

  • Test your understanding on the following worked examples:

Worked Example

  1. The pH of a solution of phosphoric acid changes from 3 to 5. Deduce how the hydrogen ion concentration changes
  2. Water from a pond was analysed and found to have a hydrogen ion concentration of 2.6 x 10-5 mol dm-3. Calculate the pH of the pond water.
  3. Determine the pH of a solution made by dissolving 5.00 g of potassium hydroxide in 250 cm3 of distilled water


Answer 1: The initial pH of the phosphoric acid is 3 which corresponds to a hydrogen ion concentration of 1 x 10-3 mol dm-3 :

[H+] = 10-pH

[H+] = 1 x 10-3 mol dm-3

The final pH is 5, which corresponds to 1 x 10-5 mol dm-3

Therefore, the solution has decreased in [H+] concentration by 10or 100 times

Answer 2: The pond water has [H+] = 2.6 x 10-5 mol dm-3.

pH = - log [H+] =   -log(2.6 x 10-5) = 4.58

Answer 3: Potassium hydroxide (M = 56.10 g mol-1) is a strong base so the concentration of [OH-] is the same as the concentration of the solution as it fully dissociates:

KOH (s)      K(aq) + OH(aq)

The concentration of KOH is


Using Kw = [H+][OH-], and then rearranging  [H+] = K/[OH-]


pH = - log (2.80 x 10-14) = 13.55