Derive an expression to calculate time required for completion of zero orderreaction

Sure, here is the step by step derivation for the time required for completion of a zero order reaction.

A zero order reaction is a reaction whose rate is independent of the concentration of the reactants. The rate law for a zero order reaction is:

Rate = k[A]^0 = k

Where:

• Rate is the rate of reaction
• k is the rate constant
• [A] is the concentration of the reactant A

Since the rate of reaction is constant, the change in concentration of A with respect to time is linear. This can be expressed as:

-[d[A]/dt] = k

Integrating this equation from t=0 to t=t (where t is the time required for completion of the reaction) and [A] = [A]0 to [A] = 0 (since at completion of the reaction, the concentration of A is zero), we get:

∫ from [A]0 to 0 d[A] = ∫ from 0 to t k dt

This simplifies to:

-[A]0 - 0 = kt - 0

Solving for t, we get:

t = [A]0 / k

So, the time required for completion of a zero order reaction is equal to the initial concentration of the reactant divided by the rate constant.