A nurse is preparing to give an injection of 1.5 mg of a drug available in a concentration of 0.5 mg/ml. How many ml will the nurse need to administer?

To determine the volume of the drug solution needed to achieve a dosage of 1.5 mg, we can use the concentration of the drug provided. The drug is available at a concentration of 0.5 mg/ml, which means there are 0.5 milligrams of the drug in each milliliter of solution.

To find out how many milliliters are required to obtain 1.5 mg, you can set up the following calculation:

1. Identify the amount of drug per ml: Since the concentration is 0.5 mg/ml, this indicates that for every 1 ml of the solution, there is 0.5 mg of the drug.

2. Calculate the required volume: You need to administer 1.5 mg.

• To find the volume (in ml) needed, divide the desired dose (1.5 mg) by the concentration (0.5 mg/ml):

[

\text{Volume} = \frac{\text{Desired Dose}}{\text{Concentration}} = \frac{1.5 \text{ mg}}{0.5 \text{ mg/ml}} = 3 \text{ ml}

]

Thus, the nurse