Mass Transfer
In case of steam distillation, the steam leaving the liquid is not completely saturated with distillate vapour, because

Saturated steam is used for steam distillation
Total pressure is less
Temperature is less
Mixing of steam with the material being vaporised is not so intimate as to result in equilibrium condition

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

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

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