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A closed vessel contains helium gas and ozone (O3) at a total pressure of P atm. The molar ratio of He to O3 is 1:1. If helium is completely removed from the vessel at constant temperature, the new pressure of the remaining gas will be:

1. (A) 0.5 P atm
2. (B) 0.75 P atm
3. (C) 0.25 P atm
4. (D) P atm

Correct answer: (A) 0.5 P atm

Solution

Since He and O3 are in a 1:1 molar ratio, by Dalton's law each contributes P/2 to the total pressure. Removing He leaves only O3 at pressure P/2 = 0.5P atm.

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