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For the consecutive unimolecular-type fi...

For the consecutive unimolecular-type first-order reaction `A overset(k_(1))rarr R overset(k_(2))rarr S`, the concentration of component R, `C_( R)` at any time `t` is given by -
`C_(R ) = C_(OA)K_(1)[e^(-k_(1)t)/((k_(2)-k_(1))) +e^(-k_(2)t)/((k_(1)-k_(2)))]`
if `C_(A) = C_(AO), C_(R ) = C_(RO) = 0` at `t = 0`
The time at which the maximum concentration of `R` occurs is -

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