Which of the following plots is(are) correct for the given reaction? (`[P]_0` is the initial consentration of P)

Options

A.
B.
C.
D.

Answer

A

Explanation

`CH_3-underset(CH_3)underset("| ")overset(CH_3)overset("| ")("C ")-Br + NaOH rarrCH_3-underset(CH_3)underset("| ")overset(CH_3)overset("| ")("C ") - OH + NaBr`
this is `1^(st)` order reaction
For `1^(st)` order `T_(1//2) = underset(k)(0.693)`
So independent of initial concentration
`t_(1//2) = [P_0]`
`C = C_0 e^(-kt) implies ln [(C )/(C_0)] = -kt`
`implies ln[([P])/([P]_0)] = -kt`
So graph D is incorrect.