Kinetics and Rate Law

Question

What is the half-life for a particular reaction if the rate law is rate = (1301 M*min⁻¹)[A]⁰ and the initial concentration of A is 0.250 M?

Answer 1

From the rate law provided, we can see the units of the rate constant (k) are M/min. This tells us the reaction is ZERO ORDER. From this, we also know that for a zero order reaction the half life (t_1/2) = [A]_o / 2k.

Solving for t_1/2, we have ...

t_1/2 = 0.250 M / (2)(1301 M/min)

t_1/2 = 9.61x10^-5 min