What is the rate constant of a first-order reaction that takes 563 secondsseconds for the reactant concentration to drop to half of its initial value?

The rate constant of a first-order reaction that takes 563 secondsseconds for the reactant concentration to drop to half of its initial value is

Explanation:

Expression for rate law for first order kinetics is given by:

where,

k = rate constant

t = age of sample

a = let initial amount of the reactant

a - x = amount left after decay process  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

Thus rate constant of a first-order reaction that takes 563 secondsseconds for the reactant concentration to drop to half of its initial value is

the answer is definitely c.