Final answer:
To find the volume of Dilaudid needed, divide the prescribed dose (4mg) by the concentration (10mg/mL), which results in a volume of 0.4 mL to be administered.
Step-by-step explanation:
To calculate the volume of Dilaudid to be administered, use the formula Volume (mL) = Dose (mg) / Concentration (mg/mL):
Given:
Dose to be administered = 4mg
Concentration = 10 mg per mL
Solution:
Volume (mL) = 4 mg / 10 mg/mL = 0.4 mL
Therefore, the patient must receive 0.4 mL of the Dilaudid solution.