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The vapor pressure is the pressure of the vapor phase of a substance when it is

ID: 3278460 • Letter: T

Question

The vapor pressure is the pressure of the vapor phase of a substance when it is in equilibrium with the solid or liquid phase of the substance. The relative humidity is the partial pressure of water vapor in the air divided by the vapor pressure of water at that same temperature, expressed as a percentage. The air is saturated when the humidity is 100%. The vapor pressure of water at a temperature of 20.0 degree C is 2340 Pa. If the air temperature is 20.0 degree C and the relative humidity is 32.0 %, what is the partial pressure of water vapor in the atmosphere (that is, the pressure due to water vapor alone)? p = 749 Pa Under the conditions of part (a), what is the mass of water in a volume of 1.50 m^3 of air? (The molar mass of water is 18.0 g/mol. Assume that water vapor can be treated as an ideal gas.)

Explanation / Answer

b) Given

Pressure, P = 749 Pa

Temperature, T = 293 K

Volume, V = 1.50 m3

Molar mass of water, M = 18 g/ mol

Using relation, P V = m/M R T

=> m = P V M / RT = (749 x 1.50 x 18) / (8.314 x 293) = 8.30 g

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