Final answer:
The patient is most likely experiencing Nonketotic hyperosmolar coma, a serious complication of type II diabetes characterized by extremely high blood glucose levels, altered mental status, and signs of dehydration, without significant ketosis or acidosis.
Step-by-step explanation:
The most likely diagnosis for this patient, given the presentation and laboratory findings, is Nonketotic hyperosmolar coma (D). This condition is characterized by severe hyperglycemia (elevated blood glucose levels) without significant ketosis, often occurring in patients with type II diabetes. The patient's high blood glucose level of 965 mg/dL along with altered mental status (somnolent but arousable), and evidence of dehydration (poor skin turgor and dry mucous membranes) fit the typical presentation of nonketotic hyperosmolar coma. Additionally, her normal blood pH (indicated by a normal HCO3− level) and absence of urinary ketones would suggest that ketoacidosis is less likely and support the diagnosis of nonketotic hyperosmolar state.