3. Problem 11.24 Middleman In this problem, assume the thermal conductivity of the wall is k= 16 W/(m*K). The aqueous solution has density p = 1000 kg/m and heat capacity Cp = 4.2 * 103 J/(kg *K) (a) Draw the thermal circuit from the wall to the inside of the tank. Write an expression for the heat flux going into the tank if the tank is at a given temperature T. (b)Perform a macroscopic energy balance over the tank to determine the differential equation for its temperature T. Solve the differential equation to find out how long it takes the temperature to increase from 200C to 600C. 11.24 An agitated tank, shown schematically in Fig. P11.24, contains 6200 kg of a dilute aqueous solution. The inside heat transfer coeficient due to agitation is 5861 W/m2. C. The steel walls Steam condenses Steam in Insulation 10 mm steel wall Condensate out Figure P11.24 of the tank are 10 mm thick. Steam at 110C condenses on the outside of the steel surface and gives a heat transfer coefficient of 10 kW/m2.C. The heat transfer area is 14 m. How long does it take to heat the vessel contents from 20C to 60C? na inunlues