Final answer:
To determine the volume of solution required for a 3 g dose from a 15 mg/mL medication concentration, the grams are first converted to milligrams (3 g = 3000 mg), and then divided by the concentration (3000 mg / 15 mg/mL) to find that 200 mL of the solution is needed.
Step-by-step explanation:
To calculate how much solution a patient would need, we must convert the required medication dosage in grams to the same units of concentration for the medication available.
The patient requires 3 g of medication. Given that the medication is available at a concentration of 15 mg/mL, we need to convert grams to milligrams to align with the concentration's units.
Firstly, convert grams to milligrams:
1 gram = 1000 milligrams, so
3 grams = 3 x 1000 = 3000 milligrams.
Next, we divide the total milligrams needed by the concentration of the medication to find the volume of the solution that should be administered:
3000 mg / (15 mg/mL) = 200 mL.
Therefore, the patient should be given 200 mL of the solution to receive the required 3 g dose of medication.