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The half-life () of an unknown reaction is found to be strictly inversely proportional to the initiaChemical Kinetics Chemistry Question

Question

The half-life ($t_{1/2}$) of an unknown reaction is found to be strictly inversely proportional to the initial concentration of the reactant ($t_{1/2} \propto [A]_0^{-1}$). What is the order of the reaction?

Answer: C

💡 Solution & Explanation

The general proportionality for half-life is $t_{1/2} \propto [A]_0^{1-n}$. Given that $t_{1/2} \propto [A]_0^{-1}$, equating the exponents gives $1 - n = -1$, which evaluates to $n = 2$ (Second Order).

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