## Integrated Rate Law graphs

$\frac{d[R]}{dt}=-k[R]; \ln [R]=-kt + \ln [R]_{0}; t_{\frac{1}{2}}=\frac{0.693}{k}$

JeremyPark14B
Posts: 29
Joined: Fri Sep 28, 2018 12:19 am

### Integrated Rate Law graphs

What is the purpose behind integrating rate laws? What do the integrated rate law equations do?

Rogelio Bazan 1D
Posts: 64
Joined: Tue Nov 14, 2017 3:01 am

### Re: Integrated Rate Law graphs

To my understanding, The rate law is a differential equation, meaning that it describes the change in concentration of the reactant (s) per change in time.

The rate law can then be integrated to obtain an integrated rate equation that links concentrations of reactants or products with time directly.
This is in relation to what order the reaction is in. That's why we have 1st order integrated law, 2nd order integrated law, and 0th order integrated law. Hope this helps.