A simple A → B reaction is determined to be a second order reaction with a rate constant k = 4.72 x 10^-4 M^-1.s^-1.

Determine the half-life of the reaction if [A]₀ = 5.25 x 10^-2 M.

Question

A simple A → B reaction is determined to be a second order reaction with a rate constant k = 4.72 x 10^-4 M^-1.s^-1.

Determine the half-life of the reaction if [A]₀ = 5.25 x 10^-2 M.

| General Chemistry 3

Accepted Answer

At t = t_1/2:

[A] = $\frac{{[A]}_{0}}{2}$

⇒ $\frac{2}{{[A]}_{0}}$ = $\frac{1}{{[A]}_{0}}$ + kt_1/2

⇒ t_1/2 = $\frac{1}{k {[A]}_{0}}$

⇒ t_1/2 = $\frac{1}{4.72 \times 10^{- 4} \times 5.25 \times 10^{- 2}}$

⇒ t_1/2 = 4.04 x 10⁴ s

Final - Question 9 | General Chemistry 3