There is a perfectly mixed tank that contains initially 100 m of sugar solution with a sugar concentration of 0.8 kg/m. This tank is heated from the bottom with the help of an electric heater and the steam is generated with a volumetric flow rate of 1 m/h.

a) Derive the expression for the variation of the change in the volume of the tank with time

b) Derive the expression for the variation of the change in the sugar concentration in the tank with time.

c) Calculate the concentration of the mixture in the tank after 12 hours

Data: p sugar solution 1200 kg/m 1000 kg/m