# Convert kinetic rate constant into a rate?

Can anyone tell me how I can convert a rate constant derived from first order kinetics (units are $\mathrm{h^{-1}}$) into an actual rate (turnovers/h)?

The scenario is that I know my rate constant for a molecule degrading in solution and it is $0.012\ \mathrm{h^{-1}}$. I know that I have $10^{14}$ catalyst molecules in the solution. How can I translate that into a number of molecules converted per catalyst per hour?

• What approaches have you considered so far? Mar 10 '15 at 2:50
• Okay, I think I have it. The key is to recognize that the rate constant in units of hr^-1 was for the entire solution, and I can just multiply the rate by the number of molecules that I start with and divide by the molecules of catalyst. Factor label method to the rescue! Mar 10 '15 at 4:34