Final answer:
The half-life of the decomposition of O3 can be calculated using the rate constant and the concentration of O3. The half-life is approximately 8.47 x 10^4 hours.
Step-by-step explanation:
The half-life of a reaction can be determined using the rate constant and the order of the reaction. In this case, the decomposition of O3 is a second-order reaction with a rate constant of 50.4 L mol-¹ h¯¹. To find the half-life, we can use the equation:
t1/2 = 1/(k * [A])
where t1/2 is the half-life, k is the rate constant, and [A] is the concentration of A. Plugging in the values, we get:
t1/2 = 1/(50.4 L mol^-1 h^-1 * 2.35 x 10^-6 M)
t1/2 = 8.47 x 10^4 hours