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What is the density of wet air with 75% ...

What is the density of wet air with 75% relative humidity at 1 atm and 300 K? Given : vapour pressure of `H_(2)O` is 30 torr and average molar mass of air is 29 g `mol^(_1)` .

A

1.614 g/L

B

0.96 g/L

C

1.06 g/L

D

1.164 g/L

Text Solution

Verified by Experts

The correct Answer is:
d
(d) % Relative humidity
`=("Partial pressure of "H_(2)O)/("Vapour pressure of " H_(2)O)xx100`
`75=(P_(H_(2)O))/(30)xx100`
`P_(H_(2)O)=22.5"torr,"`
% of `H_(2)O` vapour in air
`=((22.5))/(760)xx100=2.96`
molar mass of wet air
`=(29xx97.04+2.96xx18)/(100)`
`=(2814.16+53.28)/(100)=28.67`
density of wet air `=(PM)/(RT)=(1xx28.67)/(0.0821xx300)`
`=1.164g//L`
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