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|stemNRICH : Science, Technology, Engineering, Mathematics enriched
Welcome to chemNRICH: the chemistry section of stemNRICH Advanced. This contains mathematical activities designed to complement and enhance the study of chemistry, particularly for students aged 16-19.
|Area of chemical maths
|Explore the distribution of molecular masses for various hydrocarbons.
|Investigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer.
|From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?
|Dilution Series Calculator
|In this interactive tool a bacterial solution is diluted in four stages. Can you work out what the final concentration will be? Practise with new questions until you understand the process.
|Investigating the Dilution Series
|Follow on from the previous question by choosing the dilutions in each of four stages to try to match certain final targets.
|Save on the washing up! Using just three beakers can you create dilutions of certain concentrations?
|Logarithms and pH
|From a table of data for the dissociation constant of water at various temperatures, work out how hot water must be to have different pH values.
|Use the pH formula to calculate the pH and concentrations of dilutions.
|Take the pH formula to its theoretical limits in these extreme calculations.
|In this extended question explore how blood buffers keep the pH levels balanced in the human body.
|Atoms and particles
|See the Atoms and Particles problems on the physNRICH pages
|Explore rates of a temperature dependent reaction
|How can algebra be used to represent different reaction types? What does the equation tell us about the behaviour of the reaction?
|See also the Gas Laws problems on the physNRICH pages
|Which reactions cause an increase in volume, and which a decrease?
|Does each of these scenarios allow you fully to deduce the required facts about the reactants?
|Diamonds Aren't Forever
|Investigate the ideal gas laws in the context of diamond gas.
|Bonds, geometry and crystals
|Practise your visualisation skills regarding 3D crystal structures.
|Put your vectors to the test with this exploration of the geometry of tetrahedral molecules and ammonia.
|Which of these molecules can be rotated on to each other, and which are stereoisomers?
|Work out why common salt is not NaCl2 by analysing the Born-Haber cycle.
|Moles and molarity
|What does the empirical formula of this mixture of iron oxides tell you about its constituents?
|Advanced mathematics in chemistry
|CSI: Chemical Scene Investigation
|Give your general quantitative chemistry and problem solving skills a workout in this entertaining extended investigation.
|The Real Hydrogen Atom
|Dip your toe into the world of quantum mechanics by looking at the Schrodinger equation for hydrogen atoms.
|Clear as Crystal
|Unearth the beautiful mathematics of symmetry whilst investigating the properties of crystal lattices.
|Inspect Your Gadgets
|Look at the tools and mathematics which underly quantitative chemistry.
|Find out how rates of reactions and equations go together.
A simple method of defining the coefficients in the equations of chemical reactions with the help of a system of linear algebraic equations.
A brief outline of the mathematical issues faced by chemistry students.
Explore the possibilities for reaction rates versus concentrations with this non-linear differential equation