For a generic order chemical reaction, the half-life evaluates strictly to when applied specifically to a third-order reaction (). Using the integrated constraints for non-first order kinetics, deduce

Question

For a generic $n^{	ext{th}}$ order chemical reaction, the half-life $t_{1/2}$ evaluates strictly to $Y / (2 k a^2)$ when applied specifically to a third-order reaction ($n=3$). Using the integrated constraints for non-first order kinetics, deduce the exact integer value of $Y$.

Prashant Kotian · Accepted Answer

Correct answer: 3. The general non-first order half-life formula is . Substituting for a third-order reaction: . Thus, the numerator constant is exactly .

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