Al4C3 + H₂O Ⓡ — Al(OH)3 + CH4

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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### Balancing Chemical Equations: Coefficient of \( \text{H}_2\text{O} \)

**Problem Statement:**
What is the coefficient of \( \text{H}_2\text{O} \) when the following equation is properly balanced with the smallest set of whole numbers?

\[ \text{___} \, \text{Al}_4\text{C}_3 + \text{___} \, \text{H}_2\text{O} \rightarrow \text{___} \, \text{Al(OH)}_3 + \text{___} \, \text{CH}_4 \]

**Steps to Balance the Equation:**

1. **Identify the number of atoms of each element on both sides:**
    - Left side: 
        - \( \text{Al}: 4 \times 1 = 4 \)
        - \( \text{C}: 3 \times 1 = 3 \)
        - \( \text{H}: 2 \times \text{coefficient of } \text{H}_2\text{O} \)
        - \( \text{O}: 1 \times \text{coefficient of } \text{H}_2\text{O} \)
    - Right side:
        - \( \text{Al}: 1 \times \text{coefficient of } \text{Al(OH)}_3 \)
        - \( \text{C}: 1 \times \text{coefficient of } \text{CH}_4 \)
        - \( \text{H}: (3 \times \text{coefficient of } \text{Al(OH)}_3) + (4 \times \text{coefficient of } \text{CH}_4) \)
        - \( \text{O}: 3 \times \text{coefficient of } \text{Al(OH)}_3 \)

2. **Balance each element one by one:**
    - Start with Al (Aluminum):
        - There are 4 aluminum atoms on the left side in 1 molecule of \( \text{Al}_4\text{C}_3 \), so put 4 in front of \( \text{Al(OH)}_3 \) on the right.

      \[ \text{Al}_4\text{C}_3
Transcribed Image Text:### Balancing Chemical Equations: Coefficient of \( \text{H}_2\text{O} \) **Problem Statement:** What is the coefficient of \( \text{H}_2\text{O} \) when the following equation is properly balanced with the smallest set of whole numbers? \[ \text{___} \, \text{Al}_4\text{C}_3 + \text{___} \, \text{H}_2\text{O} \rightarrow \text{___} \, \text{Al(OH)}_3 + \text{___} \, \text{CH}_4 \] **Steps to Balance the Equation:** 1. **Identify the number of atoms of each element on both sides:** - Left side: - \( \text{Al}: 4 \times 1 = 4 \) - \( \text{C}: 3 \times 1 = 3 \) - \( \text{H}: 2 \times \text{coefficient of } \text{H}_2\text{O} \) - \( \text{O}: 1 \times \text{coefficient of } \text{H}_2\text{O} \) - Right side: - \( \text{Al}: 1 \times \text{coefficient of } \text{Al(OH)}_3 \) - \( \text{C}: 1 \times \text{coefficient of } \text{CH}_4 \) - \( \text{H}: (3 \times \text{coefficient of } \text{Al(OH)}_3) + (4 \times \text{coefficient of } \text{CH}_4) \) - \( \text{O}: 3 \times \text{coefficient of } \text{Al(OH)}_3 \) 2. **Balance each element one by one:** - Start with Al (Aluminum): - There are 4 aluminum atoms on the left side in 1 molecule of \( \text{Al}_4\text{C}_3 \), so put 4 in front of \( \text{Al(OH)}_3 \) on the right. \[ \text{Al}_4\text{C}_3
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