Balancing Chemical Equations
In the balanced equation for the reaction of aluminium with dilute sulfuric acid to produce aluminium sulfate and hydrogen gas, what is the stoichiometric coefficient of (\text{H}_2\text{SO}_4)?
Select the correct option:
Solution
3
Balancing a chemical equation requires satisfying conservation of mass (atomic balance) and charge. The unbalanced reaction is: (\text{Al} + \text{H}_2\text{SO}_4 \rightarrow \text{Al}_2(\text{SO}_4)_3 + \text{H}_2). Aluminium sulfate contains 2 Al atoms, so 2 Al atoms are needed on the left. Each (\text{H}_2\text{SO}_4) provides one (\text{SO}_4^{2-}), and three are needed for (\text{Al}_2(\text{SO}_4)_3), so 3 (\text{H}_2\text{SO}_4) molecules are required. Balanced: (2\text{Al} + 3\text{H}_2\text{SO}_4 \rightarrow \text{Al}_2(\text{SO}_4)_3 + 3\text{H}_2). Option 1 is insufficient; only one (\text{SO}_4^{2-}) unit would be supplied, but (\text{Al}_2(\text{SO}_4)_3) needs three. Option 2 provides two sulfate units, still one short of three. Option 4 is too many and would leave one (\text{SO}_4^{2-}) unit unaccounted for, violating mass balance. This is a direct NCERT exercise on balancing equations by inspection. Plausibility check: with 3 (\text{H}_2\text{SO}_4), we have 6 H on the left, giving (3\text{H}_2) on the right — the hydrogen balance is also satisfied.
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About This Question
- Subject
- chemistry
- Chapter
- some basic concepts in chemistry
- Topic
- balancing chemical equations
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
3
Balancing a chemical equation requires satisfying conservation of mass (atomic balance) and charge. The unbalanced reaction is: (\text{Al} + \text{H}_2\text{SO}_4 \rightarrow \text{Al}_2(\text{SO}_4)_3 + \text{H}_2). Aluminium sulfate contains 2 Al atoms, so 2 Al atoms are needed on the left. Each (\text{H}_2\text{SO}_4) provides one (\text{SO}_4^{2-}), and three are needed for (\text{Al}_2(\text{SO}_4)_3), so 3 (\text{H}_2\text{SO}_4) molecules are required. Balanced: (2\text{Al} + 3\text{H}_2\text{SO}_4 \rightarrow \text{Al}_2(\text{SO}_4)_3 + 3\text{H}_2). Option 1 is insufficient; only one (\text{SO}_4^{2-}) unit would be supplied, but (\text{Al}_2(\text{SO}_4)_3) needs three. Option 2 provides two sulfate units, still one short of three. Option 4 is too many and would leave one (\text{SO}_4^{2-}) unit unaccounted for, violating mass balance. This is a direct NCERT exercise on balancing equations by inspection. Plausibility check: with 3 (\text{H}_2\text{SO}_4), we have 6 H on the left, giving (3\text{H}_2) on the right — the hydrogen balance is also satisfied.
This medium difficulty chemistry question is from the chapter some basic concepts in chemistry, covering the topic of balancing chemical equations. It appeared in the 2025 exam.
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