Why glass outside gets wet with water while inside water quantity remains the same?

The process to reduce the condensable vapor content from the mixture of condensable and non-condensable gas mixture is called dehumidification.

Condensation is the change of vapor in a non-condensable gas to liquid.

The Dehumidification of air can be effected by bringing it into contact with a cold surface, like the contact of moist air with the surface of a glass containing cold water. If the temperature of the surface is lower than the dew point of the gas, condensation takes place and the temperature of the gas falls. The temperature of the surface tends to rise because of the transfer of latent and sensible heat from the air.

It would be expected that the air would cool at constant humidity until the dew point was reached, and that subsequent cooling would be accompanied by condensation. It is found, in practice, that this occurs only when the air is well mixed.

To illustrate the case, let us assume that a glass is containing water at 25 oC. The surfaces of glass are in thermal equilibrium with that of water. The glass is surrounded with air at 40 oC and relative humidity of 70 %. What is dew point of the mixture? Will the condensation occur?

Pg = Psat40  = 7.375 kPa => Pv = φ Pg = 0.7×7.375 = 5.1625 kPa

Tdew is T when Pv = Pg = 5.1625 kPa

From the tables;

Tdew = 33.5 oC

Yes, condensation will occur because Twater/glass < Tdew.

Normally the temperature and humidity are reduced simultaneously throughout the whole of the process. The air in contact with the glass surface is cooled below its dew point, and condensation of vapor therefore occurs before the more distant air has time to cool.

Where the air stream, above the surface of cold water, is cooled by cold water of the glass, then an interfacial film is always produced above the surface of cold water that is due to decrease of temperature of the moist air. This temperature decrease shifts the moist air mixture status from under saturation state towards saturation state and this new status of moist air appears as the interfacial film of condensable/non-condensable/partially cooled/partially condensed mixture. The thin layer of humid air in direct contact with the cold water is saturated air, the next layer is partially saturated.

The distant humid air has to cross this interfacial film to reach the surface of cold water and thus the condensation of water vapor in humid air by the surface of the cold water is highly resisted.

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