15.63 Units with ln?

[Tyra Nguyen 4H]

15.63 The rate constant of the reaction between CO2 and
OH^- in aqueous solution to give the HCO3^- ion is 1.5 x
1010 L.mol^-1s^-1 at 25 ^oC. Determine the rate constant at blood temperature (37 ^oC), given that the activation energy for the reaction is 38 kJ.mol^-1.

I got the right answer, but I thought that the units of k₂ would also be L.mol^-1.s^-1. Why is it mol.L^-1.s^-1?

In general, I am unsure of what to do with units when using the ln function.

[almaochoa2D]

Make sure to write units when calculating. That makes it a lot easier to tell which units it's supposed to be. Also if you're given the order you can know what units k is suppose to be in.