Molten sodium chloride is to be used as a constant-temperature bath for a high-temperature chemical reactor. Two hundred kilograms of solid NaCl at 300 K is charged into an insulated vessel, and a 3000 kW electrical heater is turned on, raising the salt to its melting point of 1073 K and melting it at a constant pressure of 1 atm. (a) The heat capacity (Cp) of solid NaCl is 50.41 J/(mol·K) at 300 K, and 53.94 J/(mol·K) at 500 K, and the heat of fusion of NaCl at 1073Kis 30.21 kJ/mol. Use these data to determine a linear expression for Cp(T) and to calculate ∆Ĥ (kJ/mol) for the transition of NaCl froma solid at 300 K to a liquid at 1073 K. (b) Write and solve the energy balance equation for this closed system isobaric process to determine the required heat input in kilojoules. (c) If 85% of the full power of 3000 kW goes into heating and melting the salt, how long does the process take?