KHAEMENES ACADEMY · CHEMISTRY 11 · WEEK 30 · DAY 01

pH as a Logarithmic Scale

Interpret pH as a logarithmic measure of hydrogen-ion concentration.

Safety boundary

Use virtual titration or teacher-supervised neutralization in a properly equipped lab only. Never titrate household cleaners or unknown solutions.

Explicit chemistry instruction

pH=-log10[H3O+] in the simplified aqueous model.

A one-unit pH change corresponds to a tenfold change in hydrogen-ion concentration.

pH is not a linear percentage scale.

Vocabulary: pH; hydronium; logarithm; concentration; decade.

Worked example

If [H3O+]=1×10^-3 M, pH=3. A solution at pH 4 has ten times lower [H3O+] than pH 3.

Guided question

How many times does [H3O+] change between pH 2 and pH 5?

Independent work

  1. Convert four powers-of-ten concentrations to pH.
  2. Compare relative acidity from pH.
  3. Explain the logarithmic step.

Misconception check

A pH of 2 is not merely twice as acidic as pH 4.

Formative check

What concentration factor corresponds to one pH unit?

Reveal response

A factor of 10.

Mentor evidence conference

Ask Archaemenes to audit logarithmic reasoning, stoichiometry, units, and curve interpretation.

Teacher guidance

Foundation: Use powers-of-ten examples.

Core: Calculate simple pH values.

Extended: Interpret non-integer pH with calculator support.