A shell and tube heat exchanger must be designed to heat 2.14 kg/s of water from 16.6C to 85.3C. The water may be assumed to have a constant specific heat capacity of 4181 J kg K- and a convective heat transfer coefficient of 3,032.7W m2 K-1. The water flows through 8 tubes in the exchanger and these tubes make 9 passes through the exchanger. The heating is accomplished by hot engine oil which flows through the shell side of the exchanger. The oil may be assumed to have a constant specific heat capacity of 2.258.1J kg K and has an average convective heat transfer coefficient of 320.2 W m2 K-1. The oil enters at 159.6C and exits at 90.8C. Each tube is thin-walled (e. D. D) with Do 27.7mm. Assuming the FT factor in the heat exchanger is 0.87, calculate the length of each tube per pass in metres. In your calculations, assume that there is no fouling on the inside or outside of the tubes and also assume that since the tubes are thin- walled, they pose negligible thermal resistance