Final answer:
The order of the reaction with respect to [A] is 1 and the rate law is rate = k[A]. The rate constant for the reaction is approximately 1.103 m⁻¹.s⁻¹.
Step-by-step explanation:
The given reaction is a first-order reaction, which means that the rate is proportional to the concentration of the reactant raised to the first power. Therefore, the order of the reaction with respect to [A] is 1. The rate law for a first-order reaction is given by:
rate = k[A]
Given that the rate is 0.32 m.s⁻¹ when the concentration of the reactant [A] is 0.29 M, we can substitute these values into the rate law equation and solve for the rate constant (k).
0.32 = k * 0.29
Solving for k:
k = 0.32 / 0.29 ≈ 1.103
Therefore, the rate constant for this reaction is approximately 1.103 m⁻¹.s⁻¹.