Volume of vessel occupied by molecules

[Amith2006]

Homework Statement

Suppose a closed vessel of volume V contains a mixture of atomic and molecular Oxygen. Will the volume of the vessel occupied by each species be equal to V? I have this doubt because in my book in order to determine the pressure exerted by each species they have taken the volume as V in each case.

Homework Equations

The Attempt at a Solution

 

[f(x)]

by dalton's law of partial pressures, in a mixture of gases, pressure by each gas is equivalent to the the pressure it would exert if it fills up the whole volume itself.
So, same volume is considered (in this case, V)

 

[Amith2006]

by dalton's law of partial pressures, in a mixture of gases, pressure by each gas is equivalent to the the pressure it would exert if it fills up the whole volume itself.
So, same volume is considered (in this case, V)

Thanks buddy.