Final answer:
To prepare 5 L of a 1:400 w/v solution, 12.5 grams of the drug are required.
Step-by-step explanation:
To determine how much of a drug is needed to make a 5 L solution of a 1:400 w/v solution, we must understand that a 1:400 w/v solution means that 1 gram of the drug is present in every 400 mL of the solution. Since we want to prepare 5 L (5000 mL) of this solution, we need to calculate the appropriate amount of the drug in grams. The calculation is as follows:
5 L = 5000 mL,
5000 mL / 400 mL/g = 12.5 g
Therefore, 12.5 grams of the drug is required to make a 5 L of 1:400 w/v solution.