On a humid day in New Orleans, the temperature is 22.0°C, and the partial pressure of water vapor in the air is 31.0 torr. The 9000-ton air-conditioning system in the Louisiana Superdome maintains the inside air temperature at the same 22.0°C, but produces a partial pressure of water vapor of 10.0 torr. The volume of air in the dome is 2.4 x 106 m3, and the total pressure is 1.0 atm both inside and outside the dome.
What mass of water (in metric tons) must be removed every time the inside air is completely replaced with outside air? (Hint: How many moles of gas are in the dome? How many moles of water vapor? How many moles of dry air? How many moles of outside air must be added to the air in the dome to simulate the composition of outside air?)