Final answer:
To calculate the number of moles of O₂ produced from 19.2 moles of water using the balanced equation 2H₂O → 2H₂ + O₂, we use the 2:1 stoichiometric ratio of H₂O to O₂ to determine that 9.6 moles of O₂ will be produced.
Step-by-step explanation:
To determine the number of moles of O₂ produced from 19.2 moles of water (H₂O), we must use the balanced chemical equation 2H₂O → 2H₂ + O₂. This equation indicates that two moles of water produce one mole of oxygen gas when decomposed. Setting up a stoichiometric conversion based on this equation allows us to find the number of moles of oxygen gas produced from a given number of moles of water.
Based on the balanced equation, the stoichiometric ratio of moles of water to moles of oxygen is 2:1. Therefore, for every 2 moles of water decomposed, 1 mole of oxygen is produced. To find the moles of oxygen produced from 19.2 moles of water, we divide the moles of water by the stoichiometric ratio (19.2 moles H₂O ÷ 2 moles H₂O/mol O₂), resulting in 9.6 moles of O₂.