A nurse must prepare a 100 mL IV solution with a drug concentration of 0.5 mg/mL. How much drug is needed?

To determine the amount of drug needed for the IV solution, you need to multiply the desired concentration of the drug by the total volume of the solution. In this case, the drug concentration is 0.5 mg/mL, and the total volume of the IV solution required is 100 mL.

The calculation is performed as follows:

• Multiply the concentration (0.5 mg/mL) by the volume (100 mL):

[

0.5 , \text{mg/mL} \times 100 , \text{mL} = 50 , \text{mg}

]

This shows that in order to achieve a concentration of 0.5 mg/mL in a total of 100 mL of solution, you will need 50 mg of the drug. Therefore, the correct answer is indeed 50 mg, as this amount ensures that the concentration is met accurately in the IV solution.