At a certain temperature, the solubility of N2 gas in water at 4.07 atm is 95.7 mg of N2 gas/100 g water . Calculate the solubility of N2 gas in water, at the same temperature, if the partial pressure of N2 gas over the solution is increased from 4.07 atm to 10.0 atm .

Respuesta :

Answer: Thus the solubility of [tex]N_2[/tex] gas in water, at the same temperature, if the partial pressure of gas is 10.0 atm is 235mg/100g.

Explanation:-

The Solubility of [tex]N_{2}[/tex] in water can be calculated by Henry’s Law. Henry’s law gives the relation between gas pressure and the concentration of dissolved gas.

Formula of Henry’s law,  [tex]C=k_{H}P[/tex].

[tex]k_{H}[/tex]= Henry’s law constant = ?

The partial pressure (P) of [tex]N_{2}[/tex] in water = 4.07 atm

\[tex]C= k_{H}\times P\\95.7mg=k_{H}\times 4.07[/tex]

[tex]k_{H}=23.5[/tex]

At pressure of 10.0 atm

[tex]C= k_{H}\times P\\C=23.5\times 10.0=235mg/100mg[/tex]

Thus the solubility of [tex]N_2[/tex] gas in water, at the same temperature, is 235mg/100g