Question

Consider the following Chemical equation: a Al₂O₃ + b HCl → c AlCl₃ + d H₂O
In order to balance this chemical equation, the values of a, b, c and d must be

• A. 1, 6, 2 and 3
• B. 1, 6, 3 and 2
• C. 2, 6, 2 and 3
• D. 2, 6, 3 and 2

Answer 1

The Correct Option is A

The given equation:
\[a \, \text{Al}_2\text{O}_3 + b \, \text{HCl} \rightarrow c \, \text{AlCl}_3 + d \, \text{H}_2\text{O}\]
1.Balancing Aluminum (Al): Each \(\text{Al}_2\text{O}_3\) contains 2 Al atoms, which form 2 \(\text{AlCl}_3\). Therefore:
\[a = 1 \quad \text{and} \quad c = 2.\]
2.Balancing Chlorine (Cl): Each \(\text{AlCl}_3\) contains 3 Cl atoms. For 2 molecules, total Cl = 6. To provide 6 Cl atoms, \(b = 6\):
\[6 \, \text{HCl} \rightarrow 2 \, \text{AlCl}_3.\]
3.Balancing Oxygen (O) and Hydrogen (H): Oxygen from \(\text{Al}_2\text{O}_3\) forms 3 water molecules, so \(d = 3\):
\[\text{Al}_2\text{O}_3 + 6 \, \text{HCl} \rightarrow 2 \, \text{AlCl}_3 + 3 \, \text{H}_2\text{O}.\]
Final Balanced Equation:
\[\text{Al}_2\text{O}_3 + 6 \, \text{HCl} \rightarrow 2 \, \text{AlCl}_3 + 3 \, \text{H}_2\text{O}.\]