In a shell-and-tube heat exchanger, hot water is pumped through the pipe at a rate of 3,000 [kg/hr] and cooled from 55 [℃] to 40 [℃]. Meanwhile, on the outside, coolant flows at a speed of 5,000 [kg/hr] at 25 [℃]. Find the amount of heat transfer through the heat exchanger.
Put 1,800 [kg] of 110 [℃] oil (specific heat 0.45 kcal/kg℃) into the inner tube of a double pipe heat exchanger and take it out when the temperature is 45 [℃]. Add water (countercurrent) to the pipe wall at 20[℃] and take it out at 50[℃]. If the inner diameter of the pipe is 36 [mm] and the overall heat transfer coefficient based on the inner area is 500 [kcal/m^2hr℃], what is the required heat transfer area [m^2]?