Final answer:
The diagnosis for the patient is bowel obstruction. Bowel obstruction occurs when there is a blockage in the intestines, resulting in symptoms such as abdominal pain, nausea, and vomiting.
Step-by-step explanation:
The diagnosis for the 50-year-old woman in the emergency room with symptoms of nausea, vomiting, loss of appetite, and abdominal pain is bowel obstruction. This is indicated by the tenderness to palpation of her abdomen and the presence of dilated loops of small bowel on the abdominal radiograph. Bowel obstruction occurs when there is a blockage in the intestines, which can be caused by various factors such as adhesions, hernias, or tumors.