Zero-order reactions are chemical reactions that proceed at a constant rate independent of the concentration of the reactants. In this guide, we will derive the expression for the time required for a zero-order reaction and calculate its half-life. Derivation of Time Required for Zero Order Reaction: The rate law for a zero-order reaction is given by: rate = k[R]^0 = k where [R] is the concentration of the reactant and k is the rate constant. We can integrate this rate law to obtain the expression for the time required for a zero-order reaction: [R]t = [R]0 - kt where [R]t is the concentration of the reactant at time t, [R]0 is the initial concentration of the reactant, and k is the rate constant. To solve for time, we can rearrange this equation as: t = ([R]0 - [R]t) / k This is the expression for the time required for a zero-order reaction. Half-Life Calculation: The half-life of a zero-order reaction is the time required for the concentration of the reactant to decrease by half. We