Chemistry · Chapter 12

Integrated Rate Laws: Which Plot Goes Straight?

One set of measurements, drawn three ways. Plot [A], then ln[A], then 1/[A] against time. Only one of them lands on a straight line, and that one names the order.

[A] against time straight

ln[A] against time straight

1/[A] against time straight

Second-order dataLook for the plot whose points sit on the line.
Press the button and the straightest plot is named.

Numbers from the straightest fit

Best fit
1/[A]
Goodness of fit
1.0000
Slope
0.250
Intercept
2.50
Rate constant k
0.250 per M per second
First half-life
10.0 s

The measurements

t (s)[A] (M)ln[A]1/[A] (1/M)
What to notice
Curves are hard to tell apart
All three plots look a little bent at first glance. The fit number settles it. A perfect line scores 1.0000, and the straightest plot names the order.