(10 pts) A 1-2 shell-and-tube heat exchanger has been recommended for cooling distilled water from 33.9 to 29.4C. The proposed unit contains 160 copper tubes (kcopper=383mKW), each with a 0.0191m outside diameter, 18BWG, and 4.876m in length. The tubes are laid out on a 0.0238m triangular pitch within a 0.387m inside diameter shell. Twenty-five percent cut segmental baffles, spaced 0.3m apart, are located within the shell. Cooling water at a temperature of 24C and a flow rate of 2.0sm will be used in the tubes to provide the cooling. Under these conditions, the fouling coefficients for the distilled water and the cooling water can be assumed to be 11,360 and 5680m2KW, respectively. The distilled water will be the tube-side fluid. Explain your reasoning. Determine the heat exchange area required for cooling the distilled water with a flow rate of 22skg. Use the relation developed by Colburn, to estimate the average outside film heat transfer coefficient: ho=DokFsao(fDoGs)0.6(kCp)f1/3 where the subscript f denotes conditions at the average film temperature, ao=0.33 when tubes in a tube bank are staggered, Fs is a correction factor to account for bypassing effects usually between 1.1 and 1.7, and the remaining notation is similar to what was presented in lecture. In this case, assume Fs=1.3. Will this heat exchanger work for the intended purpose? Note that you will need to look up the properties of water at the appropriate temperatures