Question

# On a humid day in New Orleans, the temperature is $22.0 ^ { \circ } \mathrm { C } ,$ 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 an inside air temperature of $22.0 ^ { \circ } \mathrm { C }$ also, but a partial pressure of water vapor of 10.0 torr. The volume of air in the dome is $2.4 \times 106 \mathrm { m } 3$ and the total pressure inside and outside the dome are both 1.0 atm. (a) 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? (b) Find the heat released when this mass of water condenses.

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