AP Chemistry Unit 5 Formulas

0 order: differential rate law

rate = k

0 order: integrated rate law

[A] = -kt + [A]₀

0 order: half-life

t_1/2 = [A]₀/2k

When ____ is linear, it’s 0 order. What is the slope?

the plot of [A]

slope = -k

units for 0 order

M/sec

1st order: differential rate law

-∆[A]/∆t

rate = k[A]

1st order: integrated rate law

ln([A]₀/[A]) = kt

ln [A] = -kt + = ln [A]₀

[A] = [A]₀e^-kt

1st order: half life

0.693/k

units for 1st order

1/sec

When ____ is linear, it’s 1st order. What is the slope?

ln [A] is linear

slope = -k

2nd order: differential rate law

rate = k[A]²

2nd order: integrated rate law

1/[A] = kt + 1/[A]₀

on formula sheet

2nd order: half life

1/k[A]₀

use final concentration of previous half life

units for 2nd order

1/M × sec

When ____ is linear, it’s 2nd order. What is the slope?

plot of 1/[A] is linear

slope = k