A shell-and-tube heat exchanger with 1-shell pass and 14-tube passes is used to heat water in the tubes with geothermal steam condensing at 120 degrees Celsius (hf = 2203 kJ/kg) on the shell side. The tubes are thin-walled and have a diameter of 2.4 cm and a length of 3.2 m per pass. Water (cp = 4180 J/kg*K) enters the tubes at 22 degrees Celsius at a rate of 3.9 kg/s. If the temperature difference between the two fluids at the exit is 46 degrees Celsius, determine the rate of heat transfer.