1.( 30 pts) In order to diagnose flow problems on the shell side of a large, plant scale shell and tube heat exchanger, you are asked to determine the pressure drop in a lab-scale glass shell model. The plant scale exchanger is 4m long and has a bank of 2.54cm (17) diameter tubes while your scale model is 0.5m long with 3.175mm OD tubes (1/8). If the two systems are dynamically similar, what is the flow rate of shell-side coolant in the model if the plant system flow rate is 0.00315m3/s(50gpm)