The first order rate law is a very important rate law, radioactive decay and many chemical reactions follow this rate law and some of the language of kinetics comes from this law. Set the two equal to each other and integrate it as follows: We can write the rate expression as rate = -d/dt and the rate law as rate = k b. Suppose we have a first order reaction of the form, B +. ![]() In order to understand how the concentrations of the species in a chemical reaction change with time it is necessary to integrate the rate law (which is given as the time-derivative of one of the concentrations) to find out how the concentrations change over time. ![]() Specifically, the use of first order reactions to calculate Half Lives. ![]() Before going on to the Activation Energy, let's look some more at Integrated Rate Laws.
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