High School

A sample of oxygen was collected in a tube over water, resulting in a mixture of oxygen gas and gaseous water (steam). The total pressure of the gas mixture is 760 torr. If the pressure of the gaseous water is 23.8 torr, what is the pressure of the pure oxygen?

A. 99.8 torr
B. 736 torr
C. 740 torr
D. 783 torr

Answer :

Final answer:

The pressure of the pure oxygen in the gas mixture is found by subtracting the vapor pressure of gaseous water from the total pressure, which equals 736.2 Torr. Therefore the correct option is b.

Explanation:

The question is about calculating the partial pressure of pure oxygen in a mixture of oxygen and gaseous water (steam) where the total pressure is known. According to Dalton's Law of Partial Pressures, the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of individual gases. Therefore, if the total pressure of the gas mixture in the tube is 760 Torr and the partial pressure of gaseous water (steam) is 23.8 Torr, the pressure of the pure oxygen can be found by subtracting the partial pressure of the water vapor from the total pressure.

To find the pressure of the pure oxygen gas we subtract the vapor pressure of the water from the total pressure:

Pressure of pure oxygen = Total pressure - Pressure of gaseous water

Pressure of pure oxygen = 760 Torr - 23.8 Torr = 736.2 Torr

The correct answer to the question is b. 736 Torr, indicating the pressure of the pure oxygen.