Final answer:
To fill a prescription requiring 20 mg/mL concentration using a stock solution of 5 mg/5 mL, 200 mL of the stock solution is needed.
Step-by-step explanation:
The student needs to calculate how many milliliters of the stock solution of Prednisolone are needed to fill a prescription of 20 mg/mL concentration, given that the stock solution has a concentration of 5 mg/5 mL.
First, we need to understand the dosage required: 20 mg/mL × 10 mL = 200 mg of Prednisolone. Next, we calculate how much of the stock solution is needed to obtain 200 mg. Since the stock solution is 5 mg/5 mL, it means that for every 5 mL, there are 5 mg.
To get the total milliliters required from the stock solution, we divide the total dosage needed by the concentration of the stock solution: 200 mg ÷ (5 mg/5 mL) = 200 mg ÷ 1 mg/mL = 200 mL. Therefore, 200 mL of the stock solution is required to fill the prescription.