You are invited to develop a theory of bottle washing. assume that you have a large volume c of clean water and a bottle of volume b, which contains a small volume d of dirt (c> > b> > d). when water is put into the bottle the dirt dissolves immediately, and when the bottle is emptied a small residue r of solution remains. how do you get the bottle as clean as possible using all the water?

Water is siphoned from a large tank and discharges into the atmosphere through a 50-mm diameter tube. the end of the tube is b = 2.1 m below the tank bottom which is a = 7.4 m deep, and viscous effects are negligible. determine the maximum height h over which the water can be siphoned without cavitation occurring. atmospheric pressure is 101.4 kpa, and the water vapor pressure is 1.79 kpa (absolute)