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A reaction with an overall order of 3/2 requires that its slow, rate-determining elementary step has fractional stoichiometric coefficients. The rate law for a 3/2 order reaction would have a rate constant with units (L/mol)^1/2 * s^-1.
As the previous students, mentioned, it is not necessary to know fractional orders for this course. However, if you are curious, fractionals orders usually occur when products are also taken into consideration when writing the rate law. :)
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