In filling a hospital order, a pharmacist diluted 1 ml of an amphotericin b injection containing 50 mg/10 ml with a 5% w/v dextrose injection to prepare an intravenous infusion containing amphotericin b, 0.1 mg/ml. how many milliliters of infusion did the pharmacist prepare

Given:

Initial volume of amphotericin V1 = 1 ml

Initial concentration of amphotericin C1 = 50 mg/10 ml or 5 mg/ml

Final concentration of amphotericin C2 = 0.1mg/ml

To determine:

The final volume V2 of the infusion containing amphotericin

Explanation:

Use the relation

V1C1 = V2C2

V2 = V1C1/C2 = 1 ml * 5 mg. ml-1/0.1 mg ml-1 = 50 ml

Ans: The pharmacist prepared 50 ml of the infusion