Calculate the change in entropy that occurs when a sample containing 2.00 mol of water is heated from 50.°C to 150.°C at 1 atm pressure. The molar heat capacities for H₂O(l) and H₂O(g) are 75.3 J K^–1 mol^–1 and 36.4 J K^–1 mol^–1, respectively, and the enthalpy of vaporization for water is 40.7 kJ/mol at 100°C.