Essentially what the question is asking you to find is the volume of promethazine the nurse will fill the syringe with. The question gives you :
- Density = 30 mg / mL
- Mass = 15.0 mg
Therefore you can solve using the formula:
\(Volume = \frac{mass}{density}\)
= \(\frac{15 mg}{30 mg / L}\)
= 0.5 mL