What statement below best describes the graph representing the integrated first-order rate law?
A)A plot of [A]t vs.t yields a straight line with a negative slope equal to -k.
B)A plot of 1/[A]t vs.t yields a straight line with a negative slope equal to k.
C)A plot of ln[A]t vs.t yields a straight line with a positive slope equal to -k.
D)A plot of ln[A]t vs.t yields a straight line with a negative slope equal to -k.
E)A plot of 1/[A]t vs.t yields a straight line with a positive slope equal to k.

Question

Quizplus · Accepted Answer

The integrated first-order rate law can be expressed as ln[A]t = -kt + ln[A]0. Therefore, a plot of ln[A]t on the y-axis and t on the x-axis should yield a straight line with a negative slope equal to -k. Choice A describes a plot of [A]t vs. t, which would not yield a straight line. Choice B describes a plot of 1/[A]t vs. t, which would yield a straight line but with a positive slope equal to k. Choice C describes a plot of ln[A]t vs. t, which is correct in terms of the dependent and independent variables but has the wrong slope. Choice E describes a plot of 1/[A]t vs. t, which would yield a straight line but with a positive slope equal to k.

What Statement Below Best Describes the Graph Representing the Integrated