Calculate the solubility of hydrogen in water at an atmospheric pressure of 0.380 atm (a typical value at high altitude).

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Calculate the solubility of hydrogen in water at an atmospheric pressure of 0.380 atm (a typical value at high altitude).

Atmospheric Gas         Mole Fraction      kH mol/(L*atm)

           Ar                                  

The solubility of hydrogen gas in water at given atmospheric pressure is

Explanation:

To calculate the partial pressure of hydrogen gas, we use the equation given by Raoult's law, which is:

where,

= partial pressure of hydrogen gas = ?

= total pressure = 0.380 atm

= mole fraction of hydrogen gas =

Putting values in above equation, we get:

To calculate the molar solubility, we use the equation given by Henry's law, which is:

where,

= Henry's constant =

= partial pressure of hydrogen gas =

Putting values in above equation, we get:

Hence, the solubility of hydrogen gas in water at given atmospheric pressure is