A vessel of water containing 300 kg of water is initially at 270 K. A 100 kg piece of metal, initially at 1300 K, is placed in the water vessel to cool and the vessel is closed. The specific heat of the metal is 0.6 kJ/kg K and 4.2 kJ/kg K for water. Assume the specific heats are constant and that the vessel is well insulated.a. Find the final equilibrium temperature after cooling.b. Find the amount of entropy generated within the vessel in kJ/K.