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In a consecutive sequential reaction mechanism strictly mapped as , the exact specific time at whichChemical Kinetics Chemistry Question

Question

In a consecutive sequential reaction mechanism strictly mapped as $A \xrightarrow{k_1} B \xrightarrow{k_2} C$, the exact specific time $t_{max}$ at which the highly transient intermediate species B hits its absolute maximum concentration peak is calculated by:

Answer: C

💡 Solution & Explanation

The concentration of intermediate B is maximized precisely when its differential rate of formation structurally equals its rate of consumption ($\frac{d[B]}{dt} = 0$). Solving the integrated calculus equations for this strict boundary condition resolves universally to $t_{max} = \frac{\ln(k_1/k_2)}{k_1 - k_2}$.

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