For a first-order sequential complex reaction , the kinetic curves show decreasing exponentially. The curve for starts at zero, rises to a maximum, and then decays. What is the explicit mathematical e

Question

For a first-order sequential complex reaction $A \xrightarrow{k_1} B \xrightarrow{k_2} C$, the kinetic curves show $[A]$ decreasing exponentially. The curve for $[B]$ starts at zero, rises to a maximum, and then decays. What is the explicit mathematical expression for the time $t_{max}$ at which the concentration of the intermediate $[B]$ strictly peaks?

Prashant Kotian · Accepted Answer

Correct answer: B. For sequential first-order reactions, setting the derivative of with respect to time to zero gives the time for maximum concentration: . Using logarithm properties, this can be written exactly as .

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