Question

The integrated rate law and half-life equation for an first order reaction would be :

• A. $[A] = [A]_0 e^{-k_rt}$ & $t_{1/2} = (\ln 2)/K_r$
• B. $[A] = [A]_0 - k_rt$ & $t_{1/2} = (\ln 2)/K_r$
• C. $1/[A] - 1/[A]_0 = k_rt$ & $t_{1/2} = 1/K_r [A]_0$
• D. $[A]_0 = [A]e^{-k_rt}$ & $t_{1/2} = 1/K_r [A]$

Hint:

A key characteristic of first-order reactions is that their half-life is completely independent of the initial concentration $[A]_0$. This is unique to first-order kinetics and is highly useful for identifying reaction orders experimentally.

Answer 1

The Correct Option is A