Free Conjugate Acid-Base Calculator

Calculate the Ka of a conjugate acid from the Kb of its base (or vice versa) using the ion product of water Kw = Ka × Kb.

Conjugate K Value

0.0000

pK of Known4.74
pK of Conjugate9.26

Conjugate Acid-Base Relationship

Formula

Ka × Kb = Kw

Therefore:

  • Ka = Kw / Kb (find Ka of conjugate acid from Kb of base)
  • Kb = Kw / Ka (find Kb of conjugate base from Ka of acid)
  • At 25°C, Kw = 1.0 × 10⁻¹⁴. This means pKa + pKb = 14.

    Example Calculation

    Ammonia has Kb = 1.8 × 10⁻⁵. Find Ka of its conjugate acid NH₄⁺.

    1. 01Ka = Kw / Kb
    2. 02Ka = 1.0 × 10⁻¹⁴ / 1.8 × 10⁻⁵
    3. 03Ka = 5.56 × 10⁻¹⁰
    4. 04pKa = -log₁₀(5.56 × 10⁻¹⁰) = 9.26

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