For a first order reaction, the time taken to reduce the initial concentration by a factor of `(1)/(4)` is 10 minutes. The time required to reduce initial concentration by a factor of `1//16` will be

Options

A. 20 min
B. 10 min
C. 80 min
D. 40 min

Answer

D

Explanation

Time taken to reduce by factor of `(1)/(4) = 20` min.
`therefore` Time taken to reduce by factor of `(1)/(2)`
i.e., `t_(1//2) = 10 min`
`aoverset(t_(1//2))to(a)/(2)overset(t_(1//2))to(a)/(4)overset(t_(1//2))to(a)/(8)overset(t_(1//2))to(a)/(16)`
Toral time required ` = 4 xx t_(1//2) = 4 xx 10 min = 40 min`