Homework SourseA certain drug is eliminated from the body with a half life
A certain drug is eliminated from the body with a half life of34 hours. Suppose the patient receives an additional dose of 80 mg of the drug at midnight. How much of the drug is in the patient\'s blood at noon the next day? When will the drug concentration reach 35 percent?
Solution
It is exponential
Hence, A=A0exp(-kt)
0.5 = exp(-34k)
k=0.023867
Hence, at noon (12 hours), the concentration would be
80 exp (-12* 0.023867) = 62.64mg = Answer1
Drug concentration is 35% when 0.35 = exp (-kt)
Hence, t = 43.97 hours = Answer2
