Clive, who weighs 75 kg, has been ordered drug N at the rate of 3 mcg/kg/minute. The prepared solution contains 50 mg of drug N in 250 ml of fluid. The volume/hour required for this order is
A) 52.5 ml
B) 67.5 ml
C) 75.5 ml
D) 82.5 ml

Question

Quizplus · Accepted Answer

First, calculate the total mcg/min ordered for Clive: 3 mcg/kg/min * 75 kg = 225 mcg/min. Next, convert the total amount of drug in the solution from mg to mcg: 50 mg = 50,000 mcg. To find out how many mcg per ml the solution has, divide the total mcg by the volume of the solution: 50,000 mcg / 250 ml = 200 mcg/ml. To find out how many ml/min Clive needs to receive the ordered dose, divide the ordered mcg/min by the concentration of the solution in mcg/ml: 225 mcg/min / 200 mcg/ml = 1.125 ml/min. Finally, to convert ml/min to ml/hour, multiply by 60: 1.125 ml/min * 60 = 67.5 ml/hour.

Clive, Who Weighs 75 Kg, Has Been Ordered Drug N