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You can calculate k using integrated rate laws or half life formulas if you are given information about the other variables that are involved (including final and initial concentrations and time/half life). Algebraically isolate k in the formula appropriate for the reactant order and solve.
If there is a table given, you could use that to find the k value; however, there are cases where the problem will ask you to solve for k and you will have to use the equations we have derived for each reaction and solve for k with the given information. If a problem were to come up and it doesn't directly ask you to solve for k but it is also not given, you can work with the values given to get a k.
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