The rate law for a reaction was reported as rate krABC with

The rate law for a reaction was reported as rate = kr[A][B][C] with the molar concentrations in moles per cubic decimeter and the time in seconds. What are the units of kr?

Solution

unit of rate is mol/dm^3.s which is mol.dm-3.s-1
unit of concentration is mol/dm^3 which is mol.dm-3

so,
rate = kr[A][B][C]
mol.dm-3.s-1 = kr*(mol.dm-3)*(mol.dm-3)*(mol.dm-3)
kr = mol-2.dm^6.s-1

Answer: mol^-2.dm⁶.s^-1