Question Detail
Question
Consider the equation 2C₄H₁₀ → 2SO₂(g) + 18H₂O(l). The number of moles of CO₂ produced when 2.0 × 10¹⁰ mol of C₄H₁₀ is burnt are?
Correct Answer
Option B is the correct answer.
Detailed Explanation
The provided equation is incorrect for the combustion of butane. Assuming the complete combustion of butane is intended: 2C₄H₁₀ + 13O₂ → 8CO₂ + 10H₂O. From this balanced equation, 2 moles of C₄H₁₀ produce 8 moles of CO₂, so the mole ratio is 1:4. Therefore, 2.0 × 10¹⁰ mol of C₄H₁₀ would produce 4 × (2.0 × 10¹⁰) = 8.0 × 10¹⁰ mol of CO₂. However, none of the options match this. Given the options, the calculation from the incorrect equation provided (2C₄H₁₀ → 2SO₂ + 18H₂O) cannot yield CO₂. The most plausible intended answer, based on common stoichiometric errors, is 1.6 × 10¹¹, which would come from a ratio of 8 moles CO₂ per 1 mole C₄H₁₀ (8 × 2.0 × 10¹⁰ = 1.6 × 10¹¹).
Hint
First, write the correct balanced equation for the complete combustion of butane.