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To measure the rate of a reaction, you can use the differential rate law which is k[Reactancts]n with n being the amount of moles; the differential rate law is rate as a function of concentration of reactants. On the other hand, you can also use the integrated rate law which is [A]t = -kt + [A]0 for zero order, ln[A]t = -kt + ln[A]0 for first order, and 1/[A]t = kt + 1/[A]0 for second order; the integrated rate law is rate as a function of time.
Reaction rates can be measured through a spectrometric method, where a spectrophotometer measures light absorbance. A conductometric titration can also be used, which measures the voltage change over time as reactant is added. Titrations work well for slow reactions.
One could use spectrometry to measure the rate of very fast reactions since it tells us the absorption of a solution at very precise time units (ex: in stopped-flow technique), which can in turn be used to find the concentration of reactants/products at that time.
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