The pH scale

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Nature of science:

Occam’s razor—the pH scale is an attempt to scale the relative acidity over a wide range of H+ concentrations into a very simple number. (2.7)

Understandings:
  • pH = − log[H+(aq)] and [H+] = 10−pH.
  • A change of one pH unit represents a 10-fold change in the hydrogen ion concentration [H+] .
  • pH values distinguish between acidic, neutral and alkaline solutions.
  • The ionic product constant, Kw = [H+] [OH-] = 10−14 at 298 K.

Applications and skills:

  • Solving problems involving pH, [H+] and [OH-].
  • Students should be familiar with the use of a pH meter and universal indicator.

Guidance:

  • Students will not be assessed on  values.
  • Students should be concerned only with strong acids and bases in this sub- topic.
  • Knowing the temperature dependence of Kw  is not required.
  • Equations involving H3O+  instead of H may be applied.
Theory of knowledge:
  • Chemistry makes use of the universal language of mathematics as a means of communication. Why is it important to have just one “scientific” language?

Utilization:

  • Syllabus and cross-curricular links:
  • Mathematics SL (topic 1.2)and Mathematics HL (topic 1.2)—study of logs

Aims:

  • Aim 3: Students should be able to use and apply the pH concept in a range of experimental and theoretical contexts.
  • Aim 6: An acid–base titration could be monitored with an indicator or a pH probe.

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