What is the half life?

Question

The rate constant for a second-order reaction is 0.54 M^-1s^-1. What is the half-life of this reaction if the initial concentration is 0.51 M?

Answer 1

For a 2nd order reaction...

t_1/2 = 1 / k[A]_o

t_1/2 = ?

k = 0.54 M^-1s^-1

[A]_o = 0.51 M

Solving for t_1/2, we have...

t_1/2 = 1 / 0.54 M^-1s^-1 x 0.51 M

t_1/2 = 3.63 s