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Why do this problem?

This problem provides a meaningful logarithmic challenge leading up to the derivation of the experimentally observable titration curve. It will introduce along the way many fascinating ideas from chemistry and human biology whilst keeping the focus entirely mathematical.

Possible approach

This question is best studied individually. There is a lot of information to process and make sense of.

Key questions

At each stage, how does the science have a clear, precise mathematical meaning?

Possible extension

Students who make it to the end of this question are doing very well. They might like to pursue the ideas raised in undergraduate science books.

Possible support

You might try and get started using the pH formula with the problem Temperature pH

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bioNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of the biological sciences, designed to help develop the mathematics required to get the most from your study of biology at A-level and university.

Catalyse That!

Can you work out how to produce the right amount of chemical in a temperature-dependent reaction?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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