Question

Write the mathematical relation between rate constant and half-life period of a zero order reaction.

Hint:

For zero-order reactions, half-life is directly proportional to the initial concentration.

Answer 1

Step 1: For a zero order reaction, rate = \( k \) and the integrated rate law is: \[ [R] = [R_0] - kt \] Step 2: At half-life, \( [R] = \frac{[R_0]}{2} \) \[ \Rightarrow \frac{[R_0]}{2} = [R_0] - kt_{1/2} \Rightarrow t_{1/2} = \frac{[R_0]}{2k} \]