Chemistry Question from JEE Main 2023 · 25 January, Shift 2

A first order reaction has the rate constant, $k = 4.6 \times 10^{-3} \, \text{s}^{-1}$. The number of correct statement/s from the following is/are

A. Reaction completes in $1000 \, \text{s}$.

B. The reaction has a half-life of $500 \, \text{s}$.

C. The time required for $10\%$ completion is $25$ times the time required for $90\%$ completion.

D. The degree of dissociation is equal to $1 - e^{-kt}$.

E. The rate and the rate constant have the same unit.