Your team is working on water heating system design. The heating system must heat 0.2 kg/s of water from 15 C to 35 C. The team decided to use hot gases flowing over a thin-walled copper tube to heat up the water while water flows through the tube. Your assignment is to develop a series of design plots that can be used to demonstrate acceptable combinations of tube dimensions (diameter (D) and length (L)) and hot gas conditions (temperature (T.) and velocity (V)) that satisfy water heating requirement. Using these plots your team will select appropriate combination of tube D and L and gas stream parameters (T and V) to achieve the required water heating. From the previous project, you are given with the range of parameters as follows. Diameter of tube (D) can be either 20, 30 or 40 mm. Tube length (L) should be between 3 and 6 m. Hot gas temperature can be either 250, 375, or 500 C. Velocity of hot gas ranges 20 V40 m/s. Some assumptions can be taken as follows. Heat transfer from gas to water processes at steady-state. Water is incompressible liquid with negligible viscous dissipation. Properties of hot gas are same as those of atmospheric air. The copper tube is very thin and has high thermal conductivity, so that the tube wall thermal resistance is negligible. (a) Draw a schematic of this problem. Indicate all known parameters in the schematic. (b) Estimate the tube length required at 250 C of gas temperature and 20 m/s of gas velocity over 20-mm-diamter tube. Does this length satisfy the design limit?