Final answer:
The units for the rate constant k in the rate law Rate = k[A]²[B] are mol-2 L2/s when considering a second-order dependence on [A] and a first-order dependence on [B].
Step-by-step explanation:
The units of the rate constant k in the given rate law Rate = k[A]²[B], where [A] and [B] are concentrations of the reactants, are determined to ensure that the rate of reaction has the correct units of concentration over time.
Given that the rate of reactions is typically expressed in terms of moles per liter per second (mol/L/s), we need to adjust the units for k to ensure the equation balances dimensionally.
In this case, where the overall order of the reaction is third (second order with respect to A and first order with respect to B), the units for k would be mol-2 L2/s.