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pH of a buffer (Henderson equation): Class 11 practice

For an acidic buffer pH = pKa + log([salt]/[acid]). Read the method, follow the three worked examples, then try the six questions.

What you should know first

  • Logarithms

The idea behind ph of a buffer (henderson equation)

For an acidic buffer pH = pKa + log([salt]/[acid]). Equal concentrations give pH = pKa. A basic buffer uses pOH = pKb + log([salt]/[base]).

Step-by-step method

  1. Find pKa = −log Ka (or use the given value).
  2. Compute log([salt]/[acid]).
  3. Add to pKa (or use pOH then pH = 14 − pOH).

Worked example 1 (Basic)

A buffer has pKa = 3.75 and [salt]/[acid] = 1. Find its pH.

  1. pH = 3.75 + log 1
  2. = 3.75
  3. Answer: 3.75

Worked example 2 (Standard)

A buffer has pKa = 4.2 and [salt]/[acid] = 0.5. Find its pH.

  1. pH = 4.2 + log 0.5
  2. = 3.9
  3. Answer: 3.9

Worked example 3 (Challenge)

An NH₃/NH₄Cl buffer has [NH₄⁺]/[NH₃] = 1 and pKb = 4.75. Find its pH.

  1. pOH = 4.75 + log 1 = 4.75
  2. pH = 14 − 4.75 = 9.25
  3. Answer: 9.25

Common mistakes and misconceptions

  • Inverting the ratio
  • Forgetting 14 − pOH for basic buffers

Practice questions

  1. (Basic) A buffer has pKa = 9.25 and [salt]/[acid] = 10. Find its pH.
  2. (Basic) A buffer has pKa = 4.2 and [salt]/[acid] = 2. Find its pH.
  3. (Standard) A buffer has pKa = 3.75 and [salt]/[acid] = 0.5. Find its pH.
  4. (Standard) A buffer has pKa = 4.2 and [salt]/[acid] = 10. Find its pH.
  5. (Challenge) An NH₃/NH₄Cl buffer has [NH₄⁺]/[NH₃] = 0.1 and pKb = 4.75. Find its pH.
  6. (Challenge) An NH₃/NH₄Cl buffer has [NH₄⁺]/[NH₃] = 10 and pKb = 4.75. Find its pH.

Answer key with full working

  • Q1: pH = 9.25 + log 10 → = 10.25 → Answer: 10.25
  • Q2: pH = 4.2 + log 2 → = 4.5 → Answer: 4.5
  • Q3: pH = 3.75 + log 0.5 → = 3.45 → Answer: 3.45
  • Q4: pH = 4.2 + log 10 → = 5.2 → Answer: 5.2
  • Q5: pOH = 4.75 + log 0.1 = 3.75 → pH = 14 − 3.75 = 10.25 → Answer: 10.25
  • Q6: pOH = 4.75 + log 10 = 5.75 → pH = 14 − 5.75 = 8.25 → Answer: 8.25

Syllabus note

This skill is listed under "Equilibrium" for Class 11 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 a buffer (henderson equation) in?

"Equilibrium", Class 11 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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