Two consecutive irreversible fierst order reactions can be represented by
`Aoverset(k_(1))(rarr)Boverset(k_(2))(rarr)C`
The rate equation for A is readily interated to obtain
`[A]_(t)=[A]_(0).e^(-k_(1^(t)))` , and `[B]_(t)=(k_(1)[A]_(0))/(k_(2)-k_(1))[e^(-k_(1)(t))-e^(-k_(2)(t))]`
At what time will B be present in maximum concentration ?
a) `(K_(1))/(K_(2)-K_(1))`
b) `(1)/(k_(1)-k_(2)` In `(k_(1))/(k_(2))`
c) `(1)/(k_(2)-k_(1))` In `(k_(1))/(k_(2))`
d) none of these

Options

A. `(K_(1))/(K_(2)-K_(1))`
B. `(1)/(k_(1)-k_(2))` In `k_(1))/(k_(2))`
C. `(1)/(k_(2)-k_(1))` In `k_(1))/(k_(2))`
D. none of these

Answer

B