The first-order elimination rate constant is the rate constant for the elimination of the drug from the body. The elimination rate constant and the half life are dependent on the total body clearance and the volume of distribution of the drug.
CLT
Vd = k =0.693
t 1/2This rate constant represents drug elimination through all routes of drug elimination such as metabolism, renal excretion, and other routes.
The first-order elimination rate constant has units of time-1.