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A substance having rate constant k and initial concentration reacts according to zero order kinetics. What will be the time for the reaction to go to completion? A. $\dfrac{a}{k}$  B. $\dfrac{k}{a}$  C. $\dfrac{a}{{2k}}$  D. $\dfrac{{2k}}{a}$

Last updated date: 29th Feb 2024
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Hint: Zero-order reactions are those reactions where the rate of reaction is independent of the increase or decrease in the concentration of reactants. Therefore, it is found that the rate of such reactions is always equal to their rate constants.

$100\%$ completion reaction occurs when the initial concentration of reactants is completely converted into a product. Let us assume that the initial concentration of reactant is $a = {\left[ A \right]_0}$. When this initial concentration gives rise to a product which is equal to it, then it is called a complete reaction. At this point, the value of x changes to a.
$a = k \times {t_{100}}$ or we can write it as ${t_{100}} = \dfrac{a}{k}$.
Therefore, for a reaction to be $100\%$completed, the time required in zero order reaction is ${t_{100}} = \dfrac{a}{k}$.