Final answer:
The nurse violated the principle of medication administration known as the principle of dosage calculation.
Step-by-step explanation:
The nurse violated the principle of medication administration known as the principle of dosage calculation. This principle requires healthcare professionals to accurately calculate the appropriate dose for a patient based on the ordered dose and the available concentration of the medication. In this case, the nurse should have calculated the appropriate volume of the 50 mg/mL diphenhydramine IV injectable solution needed to administer the ordered dose of 12.5 mg orally.
One way to calculate the volume of the 50 mg/mL diphenhydramine IV injectable solution would be to use the following formula:
Volume to administer (mL) = Ordered dose (mg) / Concentration (mg/mL)
Using this formula, the nurse would calculate:
Volume to administer (mL) = 12.5 mg / 50 mg/mL = 0.25 mL
Therefore, the nurse correctly drew up 0.25 mL of the diphenhydramine IV injectable solution to administer to the patient.