Final answer:
To find the amount of oxygen reacted in the combustion of hydrogen gas, we need to use the balanced equation and the given information. By converting the mass of hydrogen to moles of hydrogen and using the mole ratio, we can calculate the moles of oxygen reacted. Finally, we can convert the moles of oxygen to grams using the molar mass of oxygen.
Step-by-step explanation:
To determine how much oxygen reacted in the combustion of hydrogen gas, we need to use the balanced equation and the given information. The balanced equation is 2H₂ + O₂ → 2H₂O. From the equation, we can see that 2 moles of hydrogen react with 1 mole of oxygen to produce 2 moles of water. To find the amount of oxygen reacted, we need to convert the given mass of hydrogen to moles of hydrogen and then use the mole ratio to calculate the moles of oxygen reacted. Finally, we can convert the moles of oxygen to grams using the molar mass of oxygen (32 g/mol).
Given: Mass of hydrogen = 54.6 g, Mass of water produced = 488 g
Step 1: Convert mass of hydrogen to moles of hydrogen
Moles of hydrogen = Mass of hydrogen / molar mass of hydrogen = 54.6 g / (2.02 g/mol) = 27.0 mol
Step 2: Use the mole ratio from the balanced equation to calculate moles of oxygen reacted
Moles of oxygen = (Moles of hydrogen / Ratio of hydrogen) x Ratio of oxygen
= (27.0 mol / 2) x 1 = 13.5 mol
Step 3: Convert moles of oxygen to grams
Mass of oxygen = Moles of oxygen x molar mass of oxygen = 13.5 mol x (32 g/mol) = 432 g