Integrated Rate Law

[Sofia Ban]

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

[MinuChoi]

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

[805307623]

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]

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

[faithkim1L]

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]

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.