A first order reaction has the rate constant,  k=4.6×10−3 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 (1−e−kt).E. The rate and the rate constant have the same unit.

The given reaction is a first order reaction with a rate constant, k = 4.6 x 10^-3 s^-1.

A. The time for a reaction to complete depends on the initial concentration of the reactants and the rate constant. Without information on the initial concentration, we cannot determine if the reaction completes in 1000 s.

B. The half-life of a first order reaction is given by the equation t1/2 = 0.693/k. Substituting the given value of k, we get t1/2 = 0.693/(4.6 x 10^-3) = 150.65 s. So, the statement is incorrect.

C. For a first order reaction, the time required for a certain percentage of completion does not depend on the initial concentration. However, the time required for 10% completion is not 25 times the time required for 90% completion. This statement is incorrect.

D. The degree of dissociation for a first order reaction is indeed given by (1 - e^-kt). This statement is correct.

E. The rate of a reaction has units of concentration/time (e.g., M/s), while the rate constant for a first order reaction has units of 1/time (e.g., 1/s). Therefore, the rate and the rate constant do not have the same units. This statement is incorrect.

Therefore, only one statement (D) is correct.