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When butane \( \left(\mathrm{C}_{4} \mathrm{H}_{10}\right) \) is burnt in air, the resulting reaction liberates carbon dioxide and water. Which of the following describes this reaction? Choose 1 answer: (A) \( 2 \mathrm{C}_{4} \mathrm{H}_{10}+4 \mathrm{O}_{2} \rightarrow 2 \mathrm{CO}_{2}+4 \mathrm{H}_{2} \mathrm{O} \) (B) \( \mathrm{C}_{4} \mathrm{H}_{10}+5 \mathrm{O}_{2} \rightarrow 6 \mathrm{CO}_{2}+2 \mathrm{H}_{2} \mathrm{O} \) (C) \( 2 \mathrm{C}_{4} \mathrm{H}_{10}+13 \mathrm{O}_{2} \rightarrow 8 \mathrm{CO}_{2}+10 \mathrm{H}_{2} \mathrm{O} \) (D) \( \mathrm{C}_{4} \mathrm{H}_{10}+5 \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2}+5 \mathrm{H}_{2} \mathrm{O} \)

Ask by Gibbs Hodges. in the United States
Feb 25,2025

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The correct balanced equation for the combustion of butane is: 2 C₄H₁₀ + 13 O₂ → 8 CO₂ + 10 H₂O So, the answer is (C).

Solución

To determine which reaction is correctly balanced for the combustion of butane (C₄H₁₀), we start with the unbalanced equation:   C₄H₁₀ + O₂ → CO₂ + H₂O Step 1. Balance the carbon atoms. Butane has 4 carbon atoms, so you need 4 CO₂ molecules:   C₄H₁₀ + O₂ → 4 CO₂ + H₂O Step 2. Balance the hydrogen atoms. Butane has 10 hydrogen atoms, so you need 5 H₂O molecules:   C₄H₁₀ + O₂ → 4 CO₂ + 5 H₂O Step 3. Balance the oxygen atoms. On the right:   - CO₂ provides 4 × 2 = 8 oxygen atoms.   - H₂O provides 5 × 1 = 5 oxygen atoms.   Total oxygen atoms needed = 8 + 5 = 13. Since each O₂ molecule has 2 oxygen atoms, you need 13/2 O₂ molecules:   C₄H₁₀ + (13/2) O₂ → 4 CO₂ + 5 H₂O To avoid fractions, multiply the entire equation by 2:   2 C₄H₁₀ + 13 O₂ → 8 CO₂ + 10 H₂O This balanced equation corresponds to option (C).

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When butane is burned in air, it reacts with oxygen to yield carbon dioxide and water through combustion. This reaction is characterized by the balancing of carbon, hydrogen, and oxygen atoms. Understanding the balanced chemical equation gives insight into how many molecules of each substance are involved in the process, providing a clear representation of the transformation of butane into energy-rich products. In practical applications, combustion reactions like that of butane are widespread, especially in household heating, cooking, and vehicles. By combusting butane in a controlled manner, we harness its energy while producing the necessary heat and light, demonstrating how chemistry underpins everyday life. However, it's vital to understand proper ventilation and safety measures since combustion produces carbon dioxide and potentially harmful pollutants.

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