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What is the density of wet air with 40% ...

What is the density of wet air with 40% relative humidity at 1 atm and 284.5 K. [Given vapour pressure of `H_(2)O=47.5` torr, Average molar mass of dry air = 29 g `mol^(-1)`]

A

1.15 g/L

B

1.23 g/L

C

1.35 g/L

D

1.4 g/L

Text Solution

Verified by Experts

The correct Answer is:
B
`40=(P_(H_(2)O))/(47.5)xx100,P_(H_(2)O)=19" torr"`
`%" of "H_(2)O" in air"=(19)/(760)xx100=2.5`
`M_(av)=(97.5xx29xx2.5xx5xx18)/(100)=28.73`,
`d=(PM)/(RT)=(1xx28.73)/(0.0821xx284.5)=1.23g//L`
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