Final answer:
To find the mass of O₂ produced when Na₂O₂ reacts with H₂O calculate the moles of Na₂O₂, then use the balanced equation to find the moles of O₂, and finally convert moles of O₂to grams using the molar mass of O₂. In this case, 29.1 grams of O₂are produced when 50.0 grams of Na₂O₂ reacts with H₂O.
Step-by-step explanation:
To determine the mass of O₂ produced when 50.0 g of Na₂O₂ reacts with H₂O, we need to calculate the number of moles of Na₂O₂ and use the balanced equation to find the moles of O₂. Then, we can convert the moles of O₂ to grams using the molar mass of O₂.
Step 1: Calculate the moles of Na₂O₂
moles = mass / molar mass
moles = 50.0 g / (22.99 g/mol + 2 * 16.00 g/mol)
moles = 50.0 g / 54.99 g/mol = 0.909 mol
Step 2: Use the balanced equation to find the moles of O₂
From the balanced equation Na₂O₂ + H₂O → 2 NaOH + O₂, we can see that 1 mole of Na₂O₂ reacts to form 1 mole of O₂.
moles of O₂ = 0.909 mol
Step 3: Convert moles of O₂ to grams using the molar mass of O₂
mass = moles * molar mass
mass = 0.909 mol * 32.00 g/mol = 29.1 g
Therefore, 29.1 grams of O2 are produced when 50.0 g of Na₂O₂ reacts with H₂O.