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pH of strong acids and bases: Class 10 practice

pH = −log[H⁺]. Read the method, follow the three worked examples, then try the six questions.

What you should know first

  • Powers of 10
  • Logarithms of 10ⁿ

The idea behind ph of strong acids and bases

pH = −log[H⁺]. For a strong acid [H⁺] equals its concentration (× number of H per formula for H₂SO₄). For a strong base find pOH = −log[OH⁻], then pH = 14 − pOH at 25 °C.

Step-by-step method

  1. Find [H⁺] or [OH⁻].
  2. pH = −log[H⁺] or pH = 14 + log[OH⁻].
  3. Below 7 acidic, above 7 basic.

Worked example 1 (Basic)

Find the pH of 10⁻1 M HCl.

  1. [H⁺] = 10⁻1
  2. pH = 1
  3. Answer: 1

Worked example 2 (Standard)

Find the pH of 10⁻4 M NaOH.

  1. [OH⁻] = 10⁻4, pOH = 4
  2. pH = 14 − 4 = 10
  3. Answer: 10

Worked example 3 (Challenge)

Find the pH of 5e-2 M H₂SO₄ (fully dissociated).

  1. [H⁺] = 2 × 5e-2 = 1e-1
  2. pH = 1
  3. Answer: 1

Common mistakes and misconceptions

  • Forgetting the 14 − pOH step
  • Ignoring the 2 H⁺ from H₂SO₄

Practice questions

  1. (Basic) Find the pH of 10⁻5 M HCl.
  2. (Basic) Find the pH of 10⁻4 M HCl.
  3. (Standard) Find the pH of 10⁻2 M NaOH.
  4. (Standard) Find the pH of 10⁻5 M NaOH.
  5. (Challenge) Find the pH of 5e-5 M H₂SO₄ (fully dissociated).
  6. (Challenge) Find the pH of 5e-3 M H₂SO₄ (fully dissociated).

Answer key with full working

  • Q1: [H⁺] = 10⁻5 → pH = 5 → Answer: 5
  • Q2: [H⁺] = 10⁻4 → pH = 4 → Answer: 4
  • Q3: [OH⁻] = 10⁻2, pOH = 2 → pH = 14 − 2 = 12 → Answer: 12
  • Q4: [OH⁻] = 10⁻5, pOH = 5 → pH = 14 − 5 = 9 → Answer: 9
  • Q5: [H⁺] = 2 × 5e-5 = 1e-4 → pH = 4 → Answer: 4
  • Q6: [H⁺] = 2 × 5e-3 = 1e-2 → pH = 2 → Answer: 2

Syllabus note

This skill is listed under "Acids Bases and Salts" for Class 10 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

Related practice and notes

Frequently asked questions

Which chapter is ph of strong acids and bases in?

"Acids Bases and Salts", Class 10 Chemistry (NCERT/CBSE). Other boards may place it differently.

How were the answers checked?

Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.

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