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The Henry's Law constant for oxygen diss...

The Henry's Law constant for oxygen dissolved in water is `4.34xx10^(-4) Catm^(-1)` at `25^(@)C`. If partial pressure of exygen in are is 0.2 atm. Under ordinary atmospheric conditions, calculate the concentration (in moles/litre) of dissolved oxygen in water in equilibrium with air at `25^(@)C`.

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According to Henry.s law :
`p = K_(H)x`
`K_(H) = 4.34 xx 10^(4)` atm .
`p_(O_(2)) = 0.2` atm .
`p_(O_(2)) = K_(H) x_(O_(2))`
or `x_(O_(2)) = (p_(O_(2)))/(K_(H))`
` = (0.2)/(4.34 xx 10^(4)) = 4.6 xx 10^(-6)`
Changing mole fraction into molarity .
Moles of water `= (1000)/(18) = 55.5 ` mol .
Since `n_(O_(2))` is very small in comparison to `n_(H_(2))o`
`n_(o_(2))+ n_(H_(2)o) = n_(H_(2)o)`
`x_(O_(2)) = (n_(O_(2)))/(n_(H_(2)o))`
`x_(O_(2)) xx n_(H_(2)o) = n_(O_(2))`
`n_(O_(2)) = 2.55 xx 10^(-4) mol`
since `2.55 xx 10^(-4) ` mol are present in 1000 mL of solution ,
Molarity ` = 2.55 xx 10^(-4) M`
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