P4: Water flows through a thick-walled tube with an inner diameter of 12 mm and a length of 8 m. The tube is immersed in a well-stirred, hot reaction tank maintained at 85°C, and the conduction resistance of the tube wall (based on the inner surface area) is Roond 0.002 (m² K)/W. The inlet temperature of the process fluid is Tmi -20°C, and the flow rate is 33 kg/h. Estimate a) What is the outlet temperature of the water for this condition? Hints: Calculate the hydrodynamic and thermal entry lengths first to determine which correlation to use. b) What would be the error you would have made if you assumed fully developed conditions to determine that outlet temperature?