Final answer:
To calculate the volume of Dilantin oral solution to administer, use the prescribed dose of 180 mg and the concentration of 250 mg per 5 mL to set up a proportion. Solving the proportion results in 3.6 mL, which is the volume to be administered per dose.
Step-by-step explanation:
The question requires calculating the volume of a drug solution to administer based on the prescribed medication dose and the concentration of the medication available. The physician ordered 180 mg of Dilantin oral solution every 8 hours. The label on the drug indicates a concentration of 250 mg per 5 mL. To find out how many milliliters will be administered per dose, we use the following proportion:
250 mg / 5 mL = 180 mg / X mL
To find the X, which represents the volume in milliliters, we cross-multiply and solve for X:
(250 mg) × (X mL) = (5 mL) × (180 mg)
X = (5 mL × 180 mg) / 250 mg
X = 900 mL / 250
X = 3.6 mL
The volume of Dilantin oral solution to be administered every 8 hours is 3.6 mL.