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What concentration of nitrogen should be...

What concentration of nitrogen should be present in a glass of water at room temperatrure ? Assume a temperature of `25^(@)C`, a total pressure of one atmosphere and mole fraction of nitrogen in air as 0.78 `(K_(H)` for nitrogen=8.42x`10^(-7) (M)/(mm Hg)`

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The correct Answer is:
`4.99 xx 10^(-4) M`

Partial pressure of `N_(2) ` in atmosphere `alpha` mole fraction of `N_(2)` in air .
`P_(N_(2)) = 0.78 atm = 0.78 xx 760 mm Hg`
` = 592.8 mm Hg`
Now , according to Henry.s law, solubility of a gas dissolved is proportional to pressure of gas .
Solubility of `N_(2) = K_(X) xx P_(N_(2))`
` = 8.42 xx 10^(-7) M//mm Hg xx 592.8 mm Hg`
` = 4.99 xx 10^(-4) M`
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