Final answer:
The nurse should closely monitor the client's serum potassium levels as they are receiving an infusion of D5W 0.45NS with KCl. Other important parameters to monitor include urine output, BUN, and serum glucose levels.
Step-by-step explanation:
Based on the information provided, the nurse should closely monitor the client's serum potassium levels. D5W 0.45NS with KCl is an intravenous solution containing both fluids and potassium chloride. The client's serum potassium level is currently within the normal range, but since they have been NPO for 3 days, there may be a risk of hypokalemia (low potassium levels). The nurse should monitor the client's urine output, BUN, and serum glucose levels as well, but the most important action would be to monitor the client's serum potassium levels.