The correct answer is M^-1s^-1.
The proportionality constant in the rate law expression, known as the rate constant or the particular rate constant, represents the relationship between the rate of the reaction and the concentration of the reacting species. Because it equals the rate of the reaction when the concentration of the reactants is assumed to be unity, it is known as the specific rate constant. The speed and direction of a chemical reaction are measured by a reaction rate constant. We are aware that the values of the Rate constant vary with temperature.
The given rate law is:
Rate = k[A][B]
The units of rate are always Ms^-1 and the units of [a] are mol so: mol*s^-1
Putting the units in the given rate law:
Rate = k[A][B]
Ms^-1=k×(M)×(M)
k=Ms^-1/M^2
k=M^-1s^-1
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