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Question
As part of an experiment, a student burns propane (C3H8) to produce carbon dioxide (CO2) and water (H2O). She remembers that she must follow the Law of Conservation of Matter when writing a balance chemical equation. Which of these equations adheres to the Law of Conservation of Matter?
Responses
A C3H8 + O2 -> CO2 + H2OC 3 H 8 + O 2 -> CO 2 + H 2 O
B C3H8 + O2 -> 3CO2 + H2OC 3 H 8 + O 2 -> 3CO 2 + H 2 O
C C3H8 + 3O2 -> CO2 + 4H2OC 3 H 8 + 3O 2 -> CO 2 + 4H 2 O
D C3H8 + 5O2 -> 3CO2 + 4H2O

Answer 1

To determine which equation adheres to the Law of Conservation of Matter, we need to ensure that the number of each type of atom on the reactant side of the equation is equal to the number on the product side.

Let's examine each option:

### A:
\[ \text{C}_3\text{H}_8 + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O} \]

- Reactants:
- Carbon (C): 3
- Hydrogen (H): 8
- Oxygen (O): 2

- Products:
- Carbon (C): 1 (from CO2)
- Hydrogen (H): 2 (from H2O)
- Oxygen (O): 3 (2 from CO2 and 1 from H2O)

**Not balanced:** Reactants have 3 C and 8 H; products have only 1 C and 2 H.

### B:
\[ \text{C}_3\text{H}_8 + \text{O}_2 \rightarrow 3\text{CO}_2 + \text{H}_2\text{O} \]

- Reactants:
- Carbon (C): 3
- Hydrogen (H): 8
- Oxygen (O): 2

- Products:
- Carbon (C): 3 (from 3 CO2)
- Hydrogen (H): 2 (from H2O)
- Oxygen (O): 7 (6 from 3 CO2 and 1 from H2O)

**Not balanced:** Reactants have 3 C and 8 H; products have only 2 H.

### C:
\[ \text{C}_3\text{H}_8 + 3\text{O}_2 \rightarrow \text{CO}_2 + 4\text{H}_2\text{O} \]

- Reactants:
- Carbon (C): 3
- Hydrogen (H): 8
- Oxygen (O): 6

- Products:
- Carbon (C): 1 (from CO2)
- Hydrogen (H): 8 (from 4 H2O)
- Oxygen (O): 5 (2 from CO2 and 4 from H2O)

**Not balanced:** Reactants have 3 C; products have only 1 C.

### D:
\[ \text{C}_3\text{H}_8 + 5\text{O}_2 \rightarrow 3\text{CO}_2 + 4\text{H}_2\text{O} \]

- Reactants:
- Carbon (C): 3
- Hydrogen (H): 8
- Oxygen (O): 10 (5 from O2)

- Products:
- Carbon (C): 3 (from 3 CO2)
- Hydrogen (H): 8 (from 4 H2O)
- Oxygen (O): 10 (6 from 3 CO2 and 4 from H2O)

**Balanced:** Reactants and products both have 3 C, 8 H, and 10 O.

### Conclusion:
The equation that adheres to the Law of Conservation of Matter is:

**D: \( \text{C}_3\text{H}_8 + 5\text{O}_2 \rightarrow 3\text{CO}_2 + 4\text{H}_2\text{O} \)**