What is the approximate dew point temperature of a parcel of air that contains 0

Question

What is the approximate dew point temperature of a parcel of air that contains 0 20g of water vapor at 30 degree C? Example: Air cannot contain more than 100% relative humidity. Air at 100% relative humidity is saturated; at that temperature, it cannot contain any more water vapor than it already has. A cooling parcel of air with 10g of water vapor per kg of air will reach dew point temperature at about 10 degree C. If the air cools to 0 degree C, the maximum amount of water vapor the air can contain at 0 degree is only 5g/kg. The excess water vapor will condense out as liquid water. 10g/kg - 5g/kg = 5 g of liquid water When saturated air at 20 degree C cools to 5 degree C, approximately how many grams of water vapor will condense into liquid water? At 20 degree C= 14.85 g/kg At 5 degree C = 5.4 g/kg so 14385 g/kg - 5.4 g/kg = 9.45 g/kg

Explanation / Answer

Simple formula is

Relative humidity = 100 - 5( T- Tdp)

So now putting the values

20 = 100 - 5 ( T- Tdp)

80 = 5 ( T- Tdp)

16 = T - Tdp

Tdp = 30-16

Tdp = 14 degrees Celcius

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