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 $$ 2 \mathrm{C}_{8} \mathrm{H}_{18}+25 \mathrm{O}_{2} \rightarrow 16 \mathrm{CO}_{2}+18 \mathrm{H}_{2} \mathrm{O} $$

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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.
Option B violates the law of conservation of matter.

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