For an unknown chemical reaction, the half-life () is observed to be inversely proportional to the i — Chemical Kinetics Chemistry Question

💡 Solution & Explanation

The universal proportionality linking half-life to initial concentration for any $n^{th}$ order reaction is $t_{1/2} \propto [A]_0^{1-n}$. Given the relationship $t_{1/2} \propto [A]_0^{-1}$, equating the exponents gives $1 - n = -1$, which flawlessly resolves to $n = 2$ (Second Order).