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Some hydrogen gas is collected over water at 20.0°C. The levels of water inside and outside the gas-collection bottle are the same. The partial pressure of hydrogen is 742.5 torr. What is the barometric pressure at the time the gas is collected?

Answer :

Answer : The barometric pressure at the time the gas collected is, 760 mmHg

Explanation :

According to the Dalton's Law of partial pressure, the total pressure of a  mixture of gases is equal to the sum of the partial pressures  of the component gases.

[tex]P_T=P_{H_2}+P_{H_2O}[/tex]

where,

[tex]P_T[/tex] = total pressure

[tex]P_{H_2}[/tex] = partial pressure of hydrogen gas = 742.5 mmHg

[tex]P_{H_2O}[/tex] = partial pressure of water vapor at [tex]20.0^oC[/tex] = 17.5 mmHg  (standard value)

Now put all the given values in the above expression, we get:

[tex]P_T=742.5mmHg+17.5mmHg[/tex]

[tex]P_T=760mmHg[/tex]

Therefore, the barometric pressure at the time the gas collected is, 760 mmHg

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