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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
% of Relative humidity `=(" Partial pressure of "H_(2)O)/(" Vapour prssure of "H_(2)O)xx 100`
`75 =(p_(H_2O))/(30)xx 100 implies p_(H_(2)O)= 22.5` torr
% or `H_(2)O" vapour in air "=((22.5))/(760)xx 100= 2.96`
Molar mass of wet air `=(29xx 97.04 +2.96xx 18)/(100)= (2814.16+53.28)/(100)= 28.67`
Density of wet air `=(PM)/(RT)= (1xx 28.67)/(0.0821 xx 300)= 1.164 g"/"L`.
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