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The Henry's law constant for the solubil...

The Henry's law constant for the solubility of nitrogen gas in water at 298 K is `1.0 xx 10^5 a t m`. The mole fraction of `N_2` in air is `0.8`. The number of moles of `N_2` from air dissolved in 10 moles fo water at 298 K and 5 atm. Pressure is :

A

`4.0 xx 10^(-4) atm`

B

`4.0 xx 10^(-5) atm`

C

`5.0 xx 10^(-4) atm`

D

`4.0 xx 10^(-6) atm`

Text Solution

Verified by Experts

The correct Answer is:
A

`P_(N2)=5 xx 0.8 =4`
Applying Henry's law, we get
`P_(N2)=K_(H) xx chi_(N_(2))` or `4=10^(5) xx chi_(N_(2))`
chi_(N_(2))=4 xx 10^(-5)`
`n_("nitrogen")/(n_("nitrogen")+n_(H_(2)O))=4 xx 10^(-5)`
or `n_("nitrogen")/(n_("nitrogen")+10)=4 xx 10^(-5)`
or `n_("nitrogen")=4 xx 10^(-4)`.
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