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Chemistry · Grades 10–12

pH from a supplied concentration

Use the dilute idealized aqueous model; concentrations approximate activities.

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Rule and assumptions

Use the dilute idealized aqueous model; concentrations approximate activities.

pH ≈ −log₁₀([H₃O⁺]/(1 mol/L))

Worked examples

In the dilute school model, [H₃O⁺] = 9 × 10^−5 mol/L. Calculate pH. Round to 3 decimal places if needed.

pH ≈ −log₁₀([H₃O⁺]/(1 mol/L)) 5 − log₁₀(9) = 4.046

4.046

In the dilute school model, [H₃O⁺] = 4 × 10^−5 mol/L. Calculate pH. Round to 3 decimal places if needed.

pH ≈ −log₁₀([H₃O⁺]/(1 mol/L)) 5 − log₁₀(4) = 4.398

4.398

Try two questions

  1. In the dilute school model, [H₃O⁺] = 7 × 10^−4 mol/L. Calculate pH. Round to 3 decimal places if needed.

  2. In the dilute school model, [H₃O⁺] = 1 × 10^−4 mol/L. Calculate pH. Round to 3 decimal places if needed.

Answers and reasoning

Answers and marking notes
  1. 3.155

    pH ≈ −log₁₀([H₃O⁺]/(1 mol/L)) 4 − log₁₀(7) = 3.155

  2. 4

    pH ≈ −log₁₀([H₃O⁺]/(1 mol/L)) 4 − log₁₀(1) = 4

Further reading and review references

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Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.