Martin P. answered 07/15/21
graduate chemistry work, Doctorate degree, Former College Professor
You need to use Dalton’s Law of Partial Pressure where Pt = Pa + Pa ...
The total pressure of a gas within a container equals the partial pressure of each individual gas that is found within that container added together.
When you collect a gas produced over water, as the gas moves through the water it combines with the water vapor to give you a mixture of gas that was produced (collected) plus the water vapor giving you the total pressure of both gases combined per Dalton’s Law of Partial Pressure.
In this problem you are given the Total Pressure of the gas that is being collected added to the H2O vapor, Pt = 738.5 Torr (unknown gas + H2O) and the vapor pressure of the water alone, Pa H2O = 23.8 Torr
Then using the above equation:
Pt = Pa (unknown gas) + Pa H20
738.5 Torr = Pa (unknown gas) + 23.8 Torr
Pa(dry unknown gas) = 738.5 - 23.8
Pa( dry unknown gas) = 714.7 Torr