The discussion centers on the application of Dalton's Law of Partial Pressures in a closed vessel containing a mixture of atomic and molecular oxygen. It is established that each gas in the mixture occupies the entire volume V of the vessel when calculating pressure. This principle confirms that the pressure exerted by each species is equivalent to the pressure it would exert if it occupied the whole volume independently. Therefore, the volume occupied by each species is indeed V.
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f(x) said: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)