Question

A nurse is to administer 175 mg of a medication intramuscularly. The label on the multidose vial states that the concentration is 100 mg/mL. What volume of the drug should the nurse administer? (Record your answer using two decimal places.)

Answer 1

The nurse should administer 1.75 mL of the medication to provide a dose of 175 mg, based on the vial's concentration of 100 mg/mL.

Step-by-step explanation:

To determine the volume of drug a nurse should administer for a dosage of 175 mg when the multidose vial contains a concentration of 100 mg/mL, one must divide the required dosage by the concentration. This calculation is straightforward:

Volume to administer = Required dosage / Concentration

Performing the calculation:

Volume to administer = 175 mg / 100 mg/mL = 1.75 mL

The nurse should therefore administer 1.75 mL of the medication intramuscularly to provide the patient with a 175 mg dose of the medication. This answer was obtained using basic unit conversion and dimensional analysis, skills that are vital in medical dosing and other scientific calculations.