Final answer:
To make a penicillin solution of 400,000 units per milliliter, 5 mL of diluent is needed.
Step-by-step explanation:
To make the penicillin into a solution that contains 400,000 units per milliliter, we need to dilute the 2,000,000 units with a certain amount of diluent. Let's use the formula:
Diluent volume = Initial volume / Desired concentration
Given that the initial volume is 2,000,000 units and we want a concentration of 400,000 units/mL, we can plug in the values to solve for the diluent volume:
Diluent volume = 2,000,000 units / 400,000 units/mL = 5 mL
Therefore, the correct answer is C. 5 mL.