A brief outline of the mathematical issues faced by chemistry
Explore the possibilities for reaction rates versus concentrations
with this non-linear differential equation
Investigate the mathematics behind blood buffers and derive the
form of a titration curve.
Whilst the chemistry of certain processes might seem reasonably straightforward, to implement reactions on an industrial scale requires very precise levels of timing, heating and so on. Since a human is unable carefully to watch a reaction progress in many cases, checking mechanisms must be automated. Scaling up reactions to large volumes can introduce many engineering
complications not seen in the laboratory.
Furthermore, many chemical and biological reactions will naturally activate once certain temperatures are reached. Measuring a specific quantity of reactants in these cases might be tricky, and the amount taken out of the freezer, for example, might need to be smaller than the amount required for an experiment so as to take into account this (inevitable) continuous growth.
More realistically, heating does not typically occur at a fixed rate. Newton's Law of Cooling tells us that the rate of change in temperature is proportional to the difference in the temperature between the body and the heat source.