A first order reaction has the rate constant, \(k =4.6 \times 10^{-3}\) \(s ^{-1}\). The number of correct statement/s f…

A first order reaction has the rate constant, \(k =4.6 \times 10^{-3}\) \(s ^{-1}\). The number of correct statement/s from the following is/are____
Given: \(\log 3=0.48\)
(a) Reaction completes in \(1000 ~s\).
(b) The reaction has a half-life of \(500 ~s\).

(c) The time required for \(10 \%\) completion is 25 times the time required for \(90 \%\) completion.
(d) The degree of dissociation is equal to \(\left(1- e ^{- kt }\right)\).
(e) The rate and the rate constant have the same unit.

[JEE Main 2023, 25 Jan (Shift 2)]