If a patient receives 4 mL of a drug solution at a strength of 1.5%, how many milligrams of the drug are administered?

To determine the amount of drug in milligrams administered to the patient, it is important to understand the relationship between percentage concentration and volume.

A solution that is 1.5% means that there are 1.5 grams of the drug in 100 mL of solution. When you have 4 mL of this solution, you can calculate the amount of drug in milligrams by using the following steps:

1. First, convert the percentage to a decimal: 1.5% = 0.015.
2. Next, calculate the total mass of the drug in the 4 mL solution. Since there are 1.5 grams (or 1500 mg) in 100 mL, you can find out how many milligrams are in 4 mL by setting up a proportion:
   • 1500 mg / 100 mL = x mg / 4 mL
3. This calculation leads to: x = (1500 mg * 4 mL) / 100 mL = 60 mg.

Thus, the patient receives 60 mg of the drug when they take 4 mL of the 1.5% solution. This amount is consistent with the proper conversion