For the first-order reaction `T_(av)` (average life), `T_(50)` (half-life) and `T_(75)` (time `75%` reaction) are in the ratio of

Options

A. `1.44:2:3`
B. `1.44:1:2`
C. `1:2:1.44`
D. `1:2:3`

Answer

B

Explanation

`T_(av) = (1)/(k), T_(50) = (0.693)/(k) = 0.693T_(av)`
`T_(75) = 2T_(50)`
`T_(50) = ((T_(75))/(2))`
`T_(av):T_(50):T_(75)`
`(T_(50))/(0.693):T_(50):T_(75)`
`(1)/(0.693):1:2`
`1.44:1:2`