Question

The half-life of a 1st order reaction is 1 hr. What is the fraction of the reactant remaining after 3 hours?

Hint:

For a first-order reaction, the fraction remaining after time \( t \) is given by the equation \( \frac{[A]_t}{[A]_0} = e^{-kt} \), where \( k \) is the rate constant and \( t \) is the time. The half-life for a first-order reaction is constant and is independent of the initial concentration.