Ka — Science definition

Acid-ionization equilibrium constant for a specified temperature.

Where it is taught

In use

For HA + H₂O ⇌ H₃O⁺ + A⁻, Ka=[H₃O⁺][A⁻]/[HA] in the introductory concentration approximation.

Acid Strength, Conjugate Pairs & Ka

Questions using ka

Problem 1

Ka=10⁻⁶. Find pKa.
Hints

Write the relationship first; substitute with consistent units.

Answer and explanation

6

−log 10(10⁻⁶)=6.

Problem 2

Find pKa for Ka=10⁻⁴.
Hints

List the given quantities, select a relationship, and check units before substituting.

Answer and explanation

4

−log 10(10⁻⁴)=4.

Problem 3

For a hypothetical monoprotic acid with C=0.200 M and Ka=2.0×10⁻⁵, estimate hydronium and pH, then test the small-ionization approximation.
Answer and explanation

x≈√(KaC)=√(4.0×10⁻⁶)=0.0020 M. pH≈2.70. x/C≈0.010=1%, supporting the approximation for ordinary classroom accuracy under the stated species model.

x≈√(KaC)=√(4.0×10⁻⁶)=0.0020 M. pH≈2.70. x/C≈0.010=1%, supporting the approximation for ordinary classroom accuracy under the stated species model.

Response criteria

  • Use the stated measurements or conditions, with correct units.
  • Connect the result to the chemical mechanism or evidence relationship.
  • Identify the assumption, model limit or further evidence requested.

Problem 4

Which acid is stronger in a comparable aqueous model: Ka=10⁻³ or 10⁻⁶?
Answer and explanation

Ka=10⁻³ implies more extensive ionization.

Response criteria

  • State a scientifically accurate conclusion.
  • Show the calculation or mechanism that supports it.
  • Include units, conditions, or limits where relevant.

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