1. Balanced Chemical Equation
First, we need the balanced chemical equation for the reaction of oxygen with hydrogen to produce water:
2 H₂ + O₂ → 2 H₂O
2. Mole Ratio
From the balanced equation, we see that 1 mole of oxygen (O₂) reacts to produce 2 moles of water (H₂O).
3. Calculation
* We have 4.6 moles of oxygen.
* Using the mole ratio, we can calculate the moles of water produced: 4.6 moles O₂ * (2 moles H₂O / 1 mole O₂) = 9.2 moles H₂O
4. Convert Moles to Grams
* The molar mass of water (H₂O) is 18.015 g/mol.
* Multiply the moles of water by the molar mass to get the grams of water: 9.2 moles H₂O * 18.015 g/mol = 165.738 grams H₂O
Therefore, 165.738 grams of water will be produced if 4.6 moles of oxygen are consumed.