
John K. answered 08/08/19
Personal Tutor for Organic Chemistry and General Chemistry
The balanced equation for the combustion of Octane is:
2 C8H18 + 25 O2 → 16 CO2 + 18 H2O.
From this equation you can see that the ratio of moles of O2 to H2O is 25:18. If you know how many moles of oxygen is consumed, multiplying it by 18/25 will give you the number of moles of water is produced. Since we know that 5.4 grams of O2 is consumed, we can calculated the amount of water produced. 5.4g O2 represents 5.4/32 moles of O2, which is equal to 0.16875 moles of O2.
Therefore, 18/25 • 0.16875 = moles of water produced = 0.1215 moles H2O. Since the question asks the mass of water produced, we multiply by the molecular weight of water : 18 • 0.1213 = 2.187 grams of water.