Answer : The partial pressure of [tex]H_2[/tex] is, 726.2 mmHg
Solution :
According to the Dalton's law, the total pressure of the gas is equal to the sum of the partial pressure of the mixture of gasses.
[tex]P_T=p_{H_2}+p_{H_2O}[/tex]
where,
[tex]P_T[/tex] = total partial pressure = barometric pressure = 746 mmHg
[tex]P_{H_2}[/tex] = partial pressure of hydrogen gas = ?
[tex]P_{H_2O}[/tex] = partial pressure of water vapor = 19.8 mmHg (assume)
Now put all the given values is expression, we get the partial pressure of the hydrogen gas.
[tex]746mmHg=p_{H_2}+19.8mmHg[/tex]
[tex]p_{H_2}=726.2mmHg[/tex]
Therefore, the partial pressure of [tex]H_2[/tex] is, 726.2 mmHg
