A double-pipe parallel-flow heat exchanger is to heat water (cp = 4180 J/kg-K) from 25°C to 60°C at a rate of 0.2 kg/s. The heating is to be accomplished by geothermal water (cp = 4310 J/kg.K) available at 140°C at a mass flow rate of 0.3 kg/s. The inner tube is thin-walled and has a diameter of 0.8 cm. If the overall heat transfer coefficient of the heat exchanger is 550 W/m²K, determine the length of the tube required to achieve the desired heating.
