Problem 1: (25 pts) Liquid water (blue arrows) is flowing between two very thin parallel 1-m-wide and 10-m-long plates (rectangular duct) with a spacing of 12.5 mm. The water enters the parallel plates at 20 C with a mass flow rate of 0.58 kg/s. The outer surface of the parallel plates is subjected to hydrogen gas (an ideal gas at 1 atm) flow width-wise in parallel over the upper and lower surfaces of the two plates (red arrows). The free-stream hydrogen gas has a velocity of 5 m/s at a temperature of 155 C. Determine the outlet mean temperature of the water, the surface temperature of the parallel plates, and the total rate of heat transfer. Evaluate the properties for water at 30 C and the properties of H2 gas at 100 C. Is this a good assumption? Note: This problem involves external and internal flows assuming that T, is constant. 1 m 10 m <115 >