A salt solution at 25 C is poured into a well-mixed tank at a flow rate of 80 kg/h. is fed. Saturated steam (100 oC) 5.0 kg/h flow from the serpentine type heat exchanger at the bottom of the tank It enters at high speed and exits as a saturated liquid and gives its latent heat to the system. heated solution leaves the tank at a flow rate of 80 kg/hr. 400 kg of salt initially at 15 C in the tank solution is available. The latent heat of saturated steam is 540 kcal/kg and the heat capacity of the solution is 1 Since it is kcal/kg C; a) Derive an expression that gives the variation of temperature in the system with time. b) If the system was operating in a steady state, what would the temperature of the solution in the tank be?

Mathematical modelling question please quickly answer thank you