An 8 cm internal diameter, 30 cm-high pitcher half filled with water is left in a dry room at 15oC and 87 kPa with its top open, as shown in the figure below. If the water is maintained at 15oC at all times also, determine how long (in days) it will take for the water to evaporate completely. State two assumptions you have made during the calculations. The molar mass of water vapour is M = 18 kg/kmol. Using an extract from table showing properties of saturated water: The saturation pressure of water at 15oC is 1.705 kPa. The density of water in the pitcher can be taken to be 1000 kg/m3 . The diffusion coefficient of water vapour in air at 15oC (= 288 K) and 87 kPa (0.86 atm) can be determined using the equation: ?????? = 1.87??10?10 ?? 2.072 ?? where T and P should be in Kelvins and atmospheres to get DAB in m2 /s. Source: Table A-9: Properties of Water in Heat Transfer – A Practical Approach by Yunus A. Cengel page 878
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