It is desired to heat water flowing at a rate of 3.8 kg/s from 38°c to 55°c in the tubes of a shell-and-tube heat exchanger using water in the shell side) flowing at a rate of 1.9 kg/s and entering at 94°c. the water is to flow in the tubes (id = 1.925 cm) at a velocity of 0.366 m/s. if a shell-and-tube heat exchanger (1 shell-pass) is to be designed for this purpose and with the tube length not to exceed 2.00 m (due to space limitation), determine a. the number of tube passes; b. the number of tubes per pass; and c. the length of the tube required consistent with this restriction. the overall heat-transfer coefficient based on the inside area is 2,500 w/m².c.