For the consecutive unimolecular-type first-order reaction: A -(k1)- R -(k2)- S, the concentration of component 'R', C_R, at any time 't' is given by the standard expression. If C_A = C_A0, C_R = C_

Question

For the consecutive unimolecular-type first-order reaction: A -(k1)-> R -(k2)-> S, the concentration of component 'R', C_R, at any time 't' is given by the standard expression. If C_A = C_A0, C_R = C_S = 0 at t = 0, the time at which the maximum concentration of 'R' occurs is

Prashant Kotian · Accepted Answer

Correct answer: B. To find the time for maximum concentration of R (t_max), we differentiate the concentration of R with respect to time and set it to zero: dC_R/dt = 0. Differentiating the given expression and solving for t yields the standard relation: t_max = ln(k2/k1) / (k2 - k1).

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