## Integrated Rate Law

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

Sofia Ban
Posts: 80
Joined: Fri Sep 28, 2018 12:25 am

### Integrated Rate Law

What is the significance of changing a differential rate law into an integrated rate law?

MinuChoi
Posts: 100
Joined: Wed Sep 18, 2019 12:15 am

### Re: Integrated Rate Law

Integrated rate laws show reaction rate vs. time. Differential rate laws show rate as a function of the reactant concentration [R].

805307623
Posts: 99
Joined: Fri Aug 09, 2019 12:17 am

### Re: Integrated Rate Law

The rate law is a differential equation. This means that it describes change in concentration of reactants per change in time. The rate law can be integrated to get an integrated rate equation that connects concentrations of reactants/products directly with time.

Chantel_2I
Posts: 109
Joined: Sat Sep 07, 2019 12:19 am

### Re: Integrated Rate Law

The differential equation tells the change in concentration over time, but the integrated equation tells the specific concentration at any specific time.

faithkim1L
Posts: 105
Joined: Fri Aug 09, 2019 12:17 am

### Re: Integrated Rate Law

Differential rate laws will show rate as a function (the dependent variable) as a function of the reactant's concentration [R] (independent variable). Integrated rate laws will show reaction rate (dependent variable) as a function of time (independent variable).

205154661_Dis2J
Posts: 109
Joined: Wed Sep 18, 2019 12:21 am

### Re: Integrated Rate Law

The differential rate law is rxn rate as a function of reactant concentration. The integrated rate law tells us how much reactant concentration changes over time, so we add the variable time to it.