## Differential vs Integrated [ENDORSED]

$aR \to bP, Rate = -\frac{1}{a} \frac{d[R]}{dt} = \frac{1}{b}\frac{d[P]}{dt}$

104922499 1F
Posts: 53
Joined: Fri Sep 29, 2017 7:04 am

### Differential vs Integrated

How do you determine when to use the differential rate law vs the integrated rate law? Does the question and what is given help?

Felicia Fong 2G
Posts: 31
Joined: Sat Jul 22, 2017 3:00 am

### Re: Differential vs Integrated

Integrated rate law questions normally give the rate constant and [A]o(initial concentration) and ask you how much remains ([A]t) after a certain amount of time. Or you may be asked to find how long will it take (find t) for concentration to decrease from x mol/L to y mol/L.

Jasmin Tran 1J
Posts: 54
Joined: Thu Jul 27, 2017 3:00 am

### Re: Differential vs Integrated  [ENDORSED]

Differential rate laws express the rate of reaction as a function of a change in the concentration of one or more reactants over a particular period of time while integrated rate laws express the reaction rate as a function of the initial concentration and an actual concentration of one or more reactants after a specific amount of time as passed.
Rate = -d[A] = k[A]n dt (differential) vs ln[A] = -kt + ln[A]0 (integrated)