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=5030=1500g


Absolute humidity of saturated water vapor at 20= 16 g m–3


So, amount of water vapor in 50m3 of air at 20=5016=800g


Amount water vapor condensed from 30 to 20 = 1500-800


= 700g


The mass of the water condensed is 700g.


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