For the consecutive unimolecular-type first-order reaction A→k1R→k2S, the concentration of component R, CR at any time t is given by -CR=CA0K1[e−k1t(k2−k1)+e−k2t(k1−k2)]if CA=CA0,CR=CR0=0 at t=0The time at which the maximum concentration of R occurs is -

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tmax⁡=k2−k1ln⁡(k2/k1)

tmax⁡=ln⁡(k2/k1)k2−k1

tmax⁡=ek2/k1k2−k1

tmax⁡=ek2−k1k2−k1

answer is B.

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Detailed Solution

dCRdt=0differentiating tmax⁡=ln⁡(k2/k1)k2−k1

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