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The solubility of pure nitrogen gas at 2...

The solubility of pure nitrogen gas at `25^@C` and 1 atm is `6.8 xx 10^(-4) "mol L"^(-1).` What is the concentration of nitrogen dissolved in water under atmospheric conditions? The partial pressure of nitrogen gas in the atmosphere is 0.78 atm.

Text Solution

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According to Henry.s law, `m=K_(H)p`
where m is the mass of gas dissolved in the given volume of the liquid at pressure p.
At constant temperature `K_H` is constant
At two different pressures,
`m_(2)/m_(1)=p_(2)/p_(1)`
where `m_1` is the solubility of a gas at pressure `p_1 and m_2` and its solubility at pressure `p_2`
`rArr m_(2)=p_(2)/p_(1) xx m_(1)`
`=("0.78 atm")/("1 atm") xx 6.8 xx 10^(-4)" mol L"^(-1)`
`=5.304 xx 10^(-4)" mol L"^(-1)`
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