## Half Life Equation graph

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

Alexis Elliott 1J
Posts: 28
Joined: Wed Sep 21, 2016 2:59 pm

### Half Life Equation graph

I am still a bit confused as to how the half life equation for a first order reaction gives us a curved line but the integrated rate equation gives us a straight line. I do not quite understand how that can work seeing as Dr. Lavelle pointed out one of the defining characteristics of the first order reactions is that their slopes will be linear on a graph of ln[A] vs t.

kara_kremer_2N
Posts: 20
Joined: Fri Jul 15, 2016 3:00 am

### Re: Half Life Equation graph

Only the integrated rate law will be linear. Half life is never linear. You only plot the rate law to determine which order it is.