Final answer:
The best method of oxygen delivery for a client with pulmonary edema, a PaCO2 of 72 mm Hg, and an oxygen saturation of 84% is Intubation and mechanical ventilation to improve alveolar gas exchange.
Step-by-step explanation:
A client with pulmonary edema, a PaCO2 of 72 mm Hg, and an oxygen saturation of 84% requires an efficient method of oxygen delivery to improve their respiratory status. Given the severity of the hypercapnia (high PaCO2) and low oxygen saturation, option A, Intubation and mechanical ventilation, would be the best method. This approach allows for controlled oxygen delivery and the removal of carbon dioxide from the body, improving the alveolar oxygen and carbon dioxide exchange. Mechanical ventilation is crucial for patients who are unable to maintain adequate ventilation on their own due to various conditions such as pulmonary edema. Intubation provides a secured airway and mechanical ventilation supports the breathing process until the underlying condition can be addressed and the patient's lung function improves.