This makes sense as half of a molecule of caffeine is actually a whole molecule of something else. Molecules come in discrete quantities and their number has to be represented as an integer. However, X represent a number of molecules. This can be generalized to show X=C/(2 n).Īt first it would seem that as n gets larger, the denominator gets larger and X gets infinitesimally small. If n=3 then 18 hours have passed and we have halved our starting quantity of caffeine 3 times, or C/(2 3). Let’s call the remaining amount of caffeine molecules in the body X. So after 12 hours, n=2, after 24 hours n=4, etc. Let’s call the number of times this period of time has passed, n. We’ll call this starting amount of caffeine C.Īfter each 6 hour period this quantity is halved. Using Avogadro’s number that’s 6.022 10 23-3 = 6.02210 20 molecules of caffeine in your body.
So 200 mg of caffeine is 1/1000th of a mol. This answer is using the correct method to calculate quantities of substances in the body with biological half lives and is taught in bio 1/ chem 1 in college. I hope you read this to the end, but if not, no big deal. I know your comment is already a day old but I couldn’t stand that you asked a question and got bad information and no explanation.
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