Mass Transfer
For the air water system under ambient conditions, the adiabatic saturation temperature and the wet bulb temperature are nearly equal, because

Solubility of the components of air in water is very small
Lewis number is close to unity
Water has a high latent heat of evaporation
They are always equal under all circumstances

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Mass Transfer
Molecular diffusion is caused by the

Transfer of molecules from low concentration to high concentration region
Activation energy of the molecules
Thermal energy of the molecules
Potential energy of the molecules

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