Well. The question is to determine the units for the rate constant, k. Where r = k[A][ B]. Now let's explain what I've done so far..
A = Mol/L, or Mol x L^-1
B = Mol/L, or Mol x L^-1
k = r / A B (Just by rearranging the equation.)
So, by what I've got so far, the units for k would be:
r / (Mol x L^-1 [for A]) x (Mol x L^-1 [for B])
But the problem is, I don't know what the units for r is. According to the answer, the units for r is: Mol x L^-1 x s^-1. What exactly is the "s^-1"? I've got a huge textbook, which I've been searching through what this "S^-1" is, though I just can't find it.
So the question put nicely: Why is the units for r: Mol x L^-1 x s^-1.
If I need to explain it any further, just ask. I'll try my best.