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The air is a mixture of a number of gase...

The air is a mixture of a number of gases. The major components are oxygen and nitrogen with approximate proportion of `20%:79%` by volume at `298K`. The water is in equilibrium with air at a pressure of `10atm` At `298 K` if Henry's law constants for oxygen and nitrogen at `298 K` are `3.30 xx 10^(7)mm` and `6.51xx10^(7)mm`, respectively, calculate the composition of these gases in water.

Text Solution

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Air containing 20% oxygen 79% nitrogen
by volume means
partial pressure `O_(2)(P_(O_(2)))=(20)/(100)xx10=2` atm
`=2xx760mm=1520mm`
Partial pressure of `N_(2)(P_(N_(2)))=(79xx10)/(100)=7*9` atm
`=7*9xx760mm=6004mm`
According to Henry's Law,
`P_(O_(2))=K_(H)x_(O_(2))`
`x_(O_(2))=(P_(O_(2)))/(K_(H))=(1520)/(330xx10^(7))=4*61xx10^(-5)`
`P_(N_(2))=K_(H)x_(N_(2))`
`x_(N_(2))=(P_(N_(2)))/(K_(H))=(6004)/(6*51xx10^(7))=9*22xx10^(-5)`
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