During an isothermal kinetic study, the instantaneous rate of a reaction was observed to surge expon — Chemical Kinetics Chemistry Question
Question
During an isothermal kinetic study, the instantaneous rate of a reaction was observed to surge exponentially, becoming $27$ times its original value solely when the concentration of its single reactant was precisely tripled. What is the overall integer order of this chemical reaction?
Answer: 3
💡 Solution & Explanation
Using the rate law $r = k[A]^n$. We are given that when $[A]$ becomes $3[A]$, the rate $r$ becomes $27r$. Setting up the ratio: $27r / r = (k(3[A])^n) / (k[A]^n) \Rightarrow 27 = 3^n$. Since $3^3 = 27$, the order $n$ must be exactly $3$.
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