Answer :

For a first order reaction the integrated rate eqauation are given as:

Where,

t = time required for conc. change of [A]_{0} to [A]

[A]_{0} = initial concentration

[A] = final concentration

k = rate constant of reaction

Case I: at t = t_{1/2}, [A] = [A]_{0}/2

Case II: at t = t_{3/4}, [A] = (1-0.75) × [A]_{0} = 0.25[A]_{0}

Thus from both the cases we can say that

**OR**

Consider the reaction,

For a zero order reaction we know that the rate of the reaction does not depend on the concentration of the reactant. Thus the rate equation or rate law is given as:

The sign is negative as the concentration of A is decreasing.

Integrating both sides with limits,

Thus the integrated rate equation for zero order is given as,

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