Final answer:
To administer a 500 mg dose of ampicillin, 2.5 mL of the prepared solution should be given, calculated by diluting the 1 g per 5 mL concentration provided on the vial's label.
Step-by-step explanation:
The question pertains to the administration of the antibiotic ampicillin. To determine how many milliliters of the drug to administer when the physician orders 500 mg of ampicillin, use the information provided on the vial's label, which indicates adding 4.5 mL of sterile water to yield 1 G (1000 mg) for 5 mL of solution. Since 1000 mg is equivalent to 1 g, a 500 mg dose is equal to 0.5 g, and therefore we need half of the total 5 mL, resulting in 2.5 mL of the prepared ampicillin solution to be administered.
Mathematically, the formula for this dilution is (concentration1)(volume1) = (concentration2)(volume2). In this case, (1000 mg)(V1) = (500 mg)(5 mL), solving for V1 gives us 2.5 mL. This example demonstrates the conversion of units from grams to milliliters using a dilution formula to calculate the required dose of medication.