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This problem involves mathematical reasoning concerning elements of chemistry. For an introduction to mass spectrometry read our article Inspect Your Gadgets.
A diatomic gas of an element with a single stable isotope is analysed in a mass spectrometer. How many peaks will there be? How many peaks will there be if the element forming a diatomic gas has 2 or 3 stable isotopes?
When water is analysed in a mass spectrometer there are peaks at relative atomic mass 17 and 18. What chemicals do these peaks correspond to? Why are there no peaks at 1 and 16?
A compound is analysed and has peaks at 35, 37, 70, 72 and 74. What is this compound?
Another compound has peaks at 12, 13, 14, 15, 16. What might this be? What is it definitely not?
Another compound has peaks at 14, 15, 16, 17. What might this be? What is it definitely not?
A mixture of two chemicals is analysed and has peaks at 35, 36, 37, 38 and 40. What might this be? What is it definitely not?
Extension: A final compound has peaks at (from tallest to smallest) 31, 45, 29, 27, 46, 43, 26, 30, 15, 42, 28, 19, 25, 14, 13, 41, 47, 44, 17, 24, 18, 33, 12. Can you suggest a likely candidate for the compound? What could the various peaks correspond to?
Other mathematical chemistry problems can be found on the chemNRICH pages.
Two brothers belong to a club with 10 members. Four are selected for a match. Find the probability that both brothers are selected.
An introduction to the binomial coefficient, and exploration of some of the formulae it satisfies.