What is the preferred mode of narcotic administration for a patient with deep partial thickness burn?

The preferred mode of narcotic administration for a patient with a deep partial thickness burn is intravenous (IV). This is because IV administration provides the most rapid and reliable pain relief, which is crucial for burn patients who are experiencing severe pain. IV narcotics can be titrated to the patient's individual needs, and the effects of the medication can be monitored closely. Additionally, IV administration avoids the potential for aspiration, which is a risk with oral or inhaled medications.