50 m3 of saturated vapor is cooled down from 30°C to 20°C. Find the mass of the water condensed. The absolute humidity of saturated water vapor is 30 g m–3 at 30°C and 16 g m–3 at 20°C.
Given
Initial temperature =30
Final temperature =20
Absolute humidity of saturated water vapor at 30= 30 g m–3
This means 1m3 of air contains 30g of water vapor at 30.
So, amount of water vapor in 50m3 of air at 30=50
30=1500g
Absolute humidity of saturated water vapor at 20= 16 g m–3
So, amount of water vapor in 50m3 of air at 20=50
16=800g
Amount water vapor condensed from 30 to 20 = 1500-800
= 700g
The mass of the water condensed is 700g.