In a bird water dispenser like the one shown below, a column of water inside the...
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In a bird water dispenser like the one shown below, a column of water inside the cylindrical container is maintained by the force balance between the atmospheric pressure, the weight of the water inside the column, and the pressure of the air above the water column inside the container. Mr. Heisenberg has one of these water dispensers in his workshop. It is 0.3 m tall from the free surface of the water in the bottom basin. Upon refilling it, Mr. Heisenberg leaves 2 cm of the cylinder empty (2 cm filled with air initially at atmospheric pressure and the rest filled with water). He then inverts the cylinder and immerses its open end into the water in the basin. No air bubbles enter the cylinder during inverting. Find the equilibrium height of the water column in the cylinder after the inversion. The air trapped inside the cylinder can be considered as ideal gas, and the water vapor pressure in the air can be neglected. Also, the change of the water level in the basin is negligible. The workshop is located in Albuquerque, where the atmospheric pressure is 1.01 bar, g = 9.81 m/s², and water density is 998 kg/m³. 0.3 m WATER FEEDER h In a bird water dispenser like the one shown below, a column of water inside the cylindrical container is maintained by the force balance between the atmospheric pressure, the weight of the water inside the column, and the pressure of the air above the water column inside the container. Mr. Heisenberg has one of these water dispensers in his workshop. It is 0.3 m tall from the free surface of the water in the bottom basin. Upon refilling it, Mr. Heisenberg leaves 2 cm of the cylinder empty (2 cm filled with air initially at atmospheric pressure and the rest filled with water). He then inverts the cylinder and immerses its open end into the water in the basin. No air bubbles enter the cylinder during inverting. Find the equilibrium height of the water column in the cylinder after the inversion. The air trapped inside the cylinder can be considered as ideal gas, and the water vapor pressure in the air can be neglected. Also, the change of the water level in the basin is negligible. The workshop is located in Albuquerque, where the atmospheric pressure is 1.01 bar, g = 9.81 m/s², and water density is 998 kg/m³. 0.3 m WATER FEEDER h
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