Answer:
The relative humidity of the air outside is lower because the hotter air is able to accommodate more moisture than cool air. The vapor pressure of the moisture outside is also higher than of the inside of the building to the higher temperatures.
When the hot humid air comes in contact with the window of the air-conditioned building, it transfers some of its heat to the window by diffusion because the window is cooler (remember the law of entropy of thermodynamics). This cools the outside air immediate to the window. The relative humidity of the air increases to saturation point because the ratio of the partial pressure of water vapor to the equilibrium vapor pressure of water at this low temperature is higher now, The water moisture then condenses into water droplets that settle on the outside of the window. This temperature is called dew point
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