In order to heat oil (cp = 1.8 kj/kg. k), a shell-and-tube heat exchanger with 1-shell pass and 6-tube passes is used. the oil enters the tube side at a rate of 10 kg/s at 22°c and exits at 48°c. heat is supplied by hot water (cp = 4.18 kj/kg. k) that enters the shell side at 80 °c at a rate of 5.1 kg/s. the overall heat transfer coefficient is estimated to be 975 w/m2 . k. determine the heat transfer surface area of the heat exchanger using lmtd method.