### Understanding the graph of First Order Integrated Rate Law

Posted:

**Wed Feb 17, 2016 2:16 pm**How can the graph of the first order integrated rate law be interpreted? I understand that for the graph, ln[A] is graphed against time, and the negative slope is k, but the ln function graphed against time confuses me-- the concentration for the graph isn't one-to-one, as [A] doesn't decrease at a constant rate as time progresses. The ln[x] graph starts from -infinite and increases, but slows down as x continues to increase, so what does the linearity of the ln[A] vs time tell us?