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In class, I remember Doctor Lavelle speaking about the units of k, the rate constant, however I wanted to clarify if the units of k can be different depending on the problem we are solving, or if they remain the same across all the problems in the chapter.
Units of K change depending on the overall order of the reaction. The units of k change so the concentration x rate constant always yields the same units for the rate. Here is a table from the book.
The units for k change with the different orders of reactions we solve. Homework question 15.9 shows this concept in a question form nicely. Because the units for time and concentration are constant, the units for k must change when we use natural logs versus 1/concentration and so forth.
One thing that helps me when trying to figure out the units of K, is the fact that the rate will always end up having to be in (M/s) or Molarity/s, therefore you essentially are manipulating the units of K which as stated above can change depending on the order of the reaction in order to end up with M/S for the rate.
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