Let's examine the balanced chemical equation provided:
C2H6 + O2 → CO2 + H2O
The coefficients in the balanced equation indicate the mole ratios between the reactants and products. According to the equation, 1 mole of C2H6 reacts with x moles of O2, where x is the unknown.
Using stoichiometry, we can determine the mole ratio by comparing the coefficients. From the equation, we can see that the coefficient of C2H6 is 1 and the coefficient of O2 is also 1.
Therefore, the mole ratio of C2H6 to O2 is 1:1. This means that for every mole of C2H6, we need 1 mole of O2 to react completely.
Given that we have 3.2 moles of C2H6, we will require an equal number of moles of O2. Thus, the answer is 3.2 moles of O2.
Therefore, the correct answer is: 3.2 moles of O2.