difference between integrated and differential

[405773279]

what is the difference between an integrated and differential rate law and how do we know which one to use?

[Ryan Sebti 3I]

Integrated rate laws show how concentrations of reactants change over time (like first-order: ln[A] = -kt + ln[A]0)

Differential rate laws express the rate of a reaction as a function of change in the concentration of a reactant, or reactants (-d[A]/dt = k[A])

[czhu22]

A good way to look at this is the perceiveable use of each. The differential function tells us what it would look like on a graph ploting the concentration vs time, and the integrated rate law would help us find an exact point on that line.

[Anabelle Pham 2C]

Differential rate laws (-d[A]/dt = k[A]) show the rate of a reaction as a function of change in the concentration of a reactant while integrated rate laws show how concentrations of reactants change over time (ie. ln[A] = -kt + ln[A]0)