Chemical KineticshardMCQ MULTIPLE

Which of the following mathematical integrated rate equations or expressions is/are precisely matcheChemical Kinetics Chemistry Question

Question

Which of the following mathematical integrated rate equations or expressions is/are precisely matched with their specific corresponding reaction order ($A \rightarrow \text{Products}$)?

Answer: A,B,C,D

💡 Solution & Explanation

A is correct because $x = kt$ for zero order. B is correct as $kt = \ln(a/(a-x))$ for first order. C is correct: $k = \frac{1}{t}(\frac{1}{a-x} - \frac{1}{a}) = \frac{1}{t}(\frac{a - (a-x)}{a(a-x)}) = \frac{x}{ta(a-x)}$. D is correct because integrating $-\frac{d[A]}{dt} = k[A]^3$ yields $\frac{1}{2(a-x)^2} - \frac{1}{2a^2} = kt$, matching the given form exactly.

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