Final answer:
The nurse must intervene when the client's serum potassium level is 2.9 mg/dL because administering bumetanide, a loop diuretic, could exacerbate the patient's hypokalemia and lead to serious cardiac complications.
Step-by-step explanation:
The situation that requires the nurse to intervene immediately when a new graduate nurse is preparing to administer bumetanide 4 mg orally to a client with heart failure is option D: The client's most recent serum potassium level is 2.9 mg/dL.
Bumetanide is a potent loop diuretic that can lead to further potassium depletion, potentially causing life-threatening arrhythmias. The presence of hypokalemia (low serum potassium) is a significant concern, especially in the context of heart failure. Therefore, administering a diuretic to a patient who already has a low potassium level could be dangerous without addressing the hypokalemia first.