A closed metal container with a liquid inside is heated by steam condensing at a temperature of Ts across the heat transfer area A m2. There is m kg of liquid with a temperature of T0 initially in the container. The specific heat of the liquid is given as Cp J/kg C. The heat transfer coefficient on the steam side controls the heating event in the system, and the resistances that may occur on the steam side and along the metal wall are neglected. According to this; a) Write down the equations that describe the system dynamics. b) Write the boundary conditions and derive the expression for the variation of the liquid temperature in the tank with time.