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Question Id : 308199 Which combustion equation violates the law of conservation of matter? A \( \mathrm{CH}_{4}+2 \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2}+2 \mathrm{H}_{2} \mathrm{O} \) B \( \quad \mathrm{C}_{3} \mathrm{H}_{8}+6 \mathrm{O}_{2} \rightarrow 3 \mathrm{CO}_{2}+4 \mathrm{H}_{2} \mathrm{O} \) C \( 2 \mathrm{C}_{6} \mathrm{H}_{14}+19 \mathrm{O}_{2} \rightarrow 12 \mathrm{CO}_{2}+14 \mathrm{H}_{2} \mathrm{O} \) D \( 2 \mathrm{C}_{8} \mathrm{H}_{18}+25 \mathrm{O}_{2} \rightarrow 16 \mathrm{CO}_{2}+18 \mathrm{H}_{2} \mathrm{O} \)

Ask by Stuart Peterson. in the United States
Jan 24,2025

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Answer

Option B violates the law of conservation of matter.

Solution

To determine which combustion equation violates the law of conservation of matter, we need to ensure that the number of atoms for each element is the same on both sides of the equation. Let's analyze each option: 1. **Option A:** \[ \mathrm{CH}_{4} + 2 \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2} + 2 \mathrm{H}_{2}\mathrm{O} \] - **Carbon (C):** 1 on both sides - **Hydrogen (H):** 4 on both sides - **Oxygen (O):** 4 on both sides **Balanced** 2. **Option B:** \[ \mathrm{C}_{3}\mathrm{H}_{8} + 6 \mathrm{O}_{2} \rightarrow 3 \mathrm{CO}_{2} + 4 \mathrm{H}_{2}\mathrm{O} \] - **Carbon (C):** 3 on both sides - **Hydrogen (H):** 8 on both sides - **Oxygen (O):** - Left: \(6 \times 2 = 12\) - Right: \(3 \times 2 + 4 \times 1 = 10\) **Not Balanced** (Oxygen atoms do not match) 3. **Option C:** \[ 2 \mathrm{C}_{6}\mathrm{H}_{14} + 19 \mathrm{O}_{2} \rightarrow 12 \mathrm{CO}_{2} + 14 \mathrm{H}_{2}\mathrm{O} \] - **Carbon (C):** 12 on both sides - **Hydrogen (H):** 28 on both sides - **Oxygen (O):** - Left: \(19 \times 2 = 38\) - Right: \(12 \times 2 + 14 \times 1 = 38\) **Balanced** 4. **Option D:** \[ 2 \mathrm{C}_{8}\mathrm{H}_{18} + 25 \mathrm{O}_{2} \rightarrow 16 \mathrm{CO}_{2} + 18 \mathrm{H}_{2}\mathrm{O} \] - **Carbon (C):** 16 on both sides - **Hydrogen (H):** 36 on both sides - **Oxygen (O):** - Left: \(25 \times 2 = 50\) - Right: \(16 \times 2 + 18 \times 1 = 50\) **Balanced** **Conclusion:** Only **Option B** does not balance the number of oxygen atoms and thus violates the law of conservation of matter. **Answer:** Option B.

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Beyond the Answer

All of the combustion equations provided are balanced according to the law of conservation of matter, meaning they don’t violate it. Each equation shows an equal number of atoms for each element on both sides of the reaction. However, if you're digging into their details, it’s worth noting that accurate balancing ensures the conservation principle holds true. That leads us to real-world implications! Understanding combustion reactions is crucial for various fields. For instance, in automotive engineering, knowing the efficiency of fuel combustion directly influences vehicle performance and emissions. Engineers work tirelessly to optimize combustion processes to reduce pollutants while maximizing energy output, ensuring a cleaner, greener ride.

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