Haroon I. answered 05/17/23
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To determine the mass of water produced when 34.6 grams of butane (C4H10) reacts with excess oxygen gas (O2), we need to use stoichiometry and the balanced equation for the combustion of butane.
The balanced equation for the combustion of butane is:
2 C4H10 + 13 O2 → 8 CO2 + 10 H2O
From the balanced equation, we can see that the stoichiometric ratio between butane and water is 2:10, which simplifies to 1:5. This means that for every 1 mole of butane reacted, 5 moles of water are produced.
First, let's calculate the number of moles of butane using its molar mass:
Molar mass of C4H10 = (4 * 12.01 g/mol) + (10 * 1.01 g/mol) = 58.12 g/mol
Moles of butane = 34.6 g / 58.12 g/mol ≈ 0.595 moles
Since the stoichiometric ratio between butane and water is 1:5, the number of moles of water produced is 5 times the number of moles of butane:
Moles of water produced = 5 * 0.595 moles = 2.975 moles
Now, we can calculate the mass of water produced using the molar mass of water:
Molar mass of H2O = (2 * 1.01 g/mol) + 16.00 g/mol = 18.02 g/mol
Mass of water produced = 2.975 moles * 18.02 g/mol ≈ 53.61 grams
Therefore, approximately 53.61 grams of water are produced when 34.6 grams of butane react with excess oxygen gas.