A mixture of 0.100 mol of N2 and 0.200 mol of O2 is collected over H2O at an atmospheric pressure of 750 mm Hg and a temperature of 22 ˚C. What is the partial pressure (in mmHg) of O2 in this mixture?
Vapour pressure of H2O at 22C = 22mmHg
Since the gasses are collected at atmospheric pressure the total pressure of the gaseous phase is 750mmHg.
At this temperature H2O exerts a pressure of 22mmHg. So the rest is exerted by `O_2 ` and `N_2` .
Pressure by `O_2` and `= 750-22 = 728mmHg`
Amount of `O_2` moles in the mix `= 0.2`
Amount of `N_2 ` moles in the mix `= 0.1`
Assume that `N_2` and `O_2 ` does not react with each other at the given conditions.
Partial pressure = mole fraction*Pressure
`P_(O_2) = (0.2)/(0.1+0.2)xx728`
So the answer is 485.33mmHg.