Final answer:
To find out how many liters of oxygen gas are required to react with 9.68 x 10²² H₂ gas molecules, we convert the number of H₂ molecules to moles, use the stoichiometry of the reaction to find moles of O₂, then calculate the volume assuming standard temperature and pressure conditions. The calculation results in 1.801 liters of oxygen gas needed.
Step-by-step explanation:
The question requires calculating the volume of oxygen gas (O₂) needed to react with a given number of hydrogen gas (₂₂) molecules. To find out how many liters of O₂ are required, we must first convert the number of H₂ molecules to moles using Avogadro's number, and then use the stoichiometry of the balanced chemical equation:
2H₂(g) + O₂(g) → 2H₂O(g)
From the equation, we can see that 2 moles of H₂ react with 1 mole of O₂. Let's calculate the volume of oxygen gas required for 9.68 x 10²² molecules of H₂. The steps are as follows:
Therefore, 1.801 liters of oxygen gas are required to completely react with 9.68 x 10²² H₂ gas molecules.