COMEDK · Chemistry · 19. Chemical Kinetics

The half-life for a zero order reaction is

A Directly proportional to the initial concentration and inversely proportional to the rate constant
B Independent of initial concentration
C Inversely proportional to the initial concentration and directly proportional to the rate constant
D Independent of rate constant, but depends on the initial concentration

Verified Solution

Answer & Solution

Correct Answer

(A) Directly proportional to the initial concentration and inversely proportional to the rate constant

Step-by-step Solution

Detailed explanation

For a zero order reaction, the integrated rate law is given by \([A] = [A]_0 - kt\), where \([A]_0\) is the initial concentration, \([A]\) is the concentration at time \(t\), and \(k\) is the rate constant. The half-life \(t_{1/2}\) is defined as the time when the concentration…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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