Understanding the Concept
* Avogadro's Law: States that equal volumes of ideal gases at the same temperature and pressure contain the same number of molecules.
* Ideal Gas Law: Relates pressure (P), volume (V), number of moles (n), and temperature (T) of an ideal gas: PV = nRT (where R is the ideal gas constant).
Assumptions
We'll assume both O₂ and O₃ are ideal gases at the same temperature and pressure.
Calculations
1. Moles are Equal: Since we have 1 mole of each gas, the number of molecules is the same (Avogadro's Law).
2. Ideal Gas Law: Because the temperature and pressure are constant, the volume is directly proportional to the number of moles (from the ideal gas law).
3. Conclusion: Since the number of molecules (and therefore moles) is the same, the volume occupied by 1 mole of O₂ will be equal to the volume occupied by 1 mole of O₃.
Therefore, the ratio of the volume occupied by 1 mole of O₂ to the volume occupied by 1 mole of O₃ is 1:1.
Important Note: This assumes ideal gas behavior. In reality, gases deviate slightly from ideal behavior, especially at high pressures or low temperatures.
