High School

The decomposition of a certain insecticide in water follows zeroth-order kinetics with a rate constant of [tex]36.6 \, \text{M} \cdot \text{month}^{-1}[/tex].

Answer :

Final answer:

Zeroth order kinetics explains how the rate of a reaction is constant and independent of reactant concentration. For the decomposition of the insecticide, the rate is 36.6 M/months, meaning each month the concentration reduces by this amount.

Explanation:

In zeroth order kinetics, the rate of the reaction is independent of the concentration of the reactants and is equal to the rate constant (k) of the reaction. This means that the reactants disintegrate at a consistent rate regardless of their concentration. The integrated rate law for zeroth order kinetics describes the linear relationship between reactant concentration and time, symbolized as [A] vs t.

According to this law, the equation [A] = -kt + [A]₀ , [A] represents the concentration at time t, [A]₀ is the initial concentration, and k is the rate constant. The negative slope of this line in the plot equals to the rate constant.

In your case, the decomposition of the insecticide in water has a rate constant of 36.6 M/months. This implies that each month, the concentration of the insecticide will reduce by 36.6 M, regardless of its initial concentration. The decomposition will continue at this rate until the reactant is depleted.

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