After 62.0 min, 33.0% of a compound has decomposed. What is the half-life of this reaction assuming first-order kinetics?

Half life is determined using the equation expressed as:

A = Ao e^-kt

First, we need to find for the value k.

A =.67Ao = Ao e ^-k (33 min)

k = 0.0121

The half-life is then calculated as follows:

A =.5Ao = Ao e ^-0.0121 (t)

t = 57.28 min