1. Balancing the Reaction
Given the unbalanced reaction: \[ \text{Pb(NO}_3\text{)}_2 (aq) + \text{Al} (s) \rightarrow \text{Al(NO}_3)_3 (aq) + \text{Pb} (s) \]
To balance the reaction:
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Identify the oxidation states:
- Pb in \(\text{Pb(NO}_3\text{)}_2\) is \(+2\).
- Al in \(\text{Al}\) is \(0\).
- Al in \(\text{Al(NO}_3)_3\) is \(+3\).
- Pb in \(\text{Pb}\) is \(0\).
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Write the half-reactions:
- Oxidation: \[\text{Al} \rightarrow \text{Al}^{3+} + 3e^{-}\]
- Reduction: \[\text{Pb}^{2+} + 2e^{-} \rightarrow \text{Pb}\]
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Balance the electrons transferred: To balance the electrons, we need to multiply the oxidation half-reaction by 2 and the reduction half-reaction by 3:
- Oxidation: \[2\text{Al} \rightarrow 2\text{Al}^{3+} + 6e^{-}\]
- Reduction: \[3\text{Pb}^{2+} + 6e^{-} \rightarrow 3\text{Pb}\]
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The balanced reaction is: \[3\text{Pb(NO}_3\text{)}_2 + 2\text{Al} \rightarrow 2\text{Al(NO}_3)_3 + 3\text{Pb}\]
a. The Ionic Reaction: \[ 3\text{Pb}^{2+} (aq) + 6\text{NO}_3^{-} (aq) + 2\text{Al} (s) \rightarrow 2\text{Al}^{3+} (aq) + 6\text{NO}_3^{-} (aq) + 3\text{Pb} (s) \]
b. Net Ionic Reaction: \[ 3\text{Pb}^{2+} (aq) + 2\text{Al} (s) \rightarrow 2\text{Al}^{3+} (aq) + 3\text{Pb} (s) \]
c. Reduced Half-Reaction: \[ 3\text{Pb}^{2+} + 6e^{-} \rightarrow 3\text{Pb} \]
d. Oxidized Half-Reaction: \[ 2\text{Al} \rightarrow 2\text{Al}^{3+} + 6e^{-} \]
e. Identify the Oxidation and Reduction Reactants:
- Oxidation Reactant: Al (is oxidized to Al\(^{3+}\))
- Reduction Reactant: Pb\(^{2+}\) (is reduced to Pb)
2. Determine if the Following Reaction is a Redox Reaction
Reaction: \[ \text{S} (s) + \text{HNO}_3 (aq) \rightarrow \text{SO}_2 (g) + \text{NO} (g) + \text{H}_2\text{O} (l) \]
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Determine oxidation states:
- S in S = \(0\)
- H in \(\text{HNO}_3\) = \(+1\), N = \(+5\), O = \(-2\)
- S in \(\text{SO}_2\) = \(+4\)
- N in \(\text{NO}\) = \(+2\)
- O in \(\text{H}_2\text{O}\) = \(-2\)
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Calculate changes:
- S: \(0 \rightarrow +4\) (oxidized)
- N: \(+5 \rightarrow +2\) (reduced)
Since there is a change in oxidation states, it confirms that the reaction is a redox reaction.
3. Disproportionation Reaction
\[ \text{ClO}^{-} (aq) \rightarrow \text{Cl}^{-} (aq) + \text{ClO}_3^{-} (aq) \]
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Determine oxidation states:
- Cl in \(\text{ClO}^{-}\): \(+1\)
- Cl in \(\text{Cl}^{-}\): \(-1\)
- Cl in \(\text{ClO}_3^{-}\): \(+5\)
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Identify changes:
- Cl is reduced from \(+1\) to \(-1\) (reduction).
- Cl is oxidized from \(+1\) to \(+5\) (oxidation).
Since the same element (Cl) is both oxidized and reduced, this confirms it is a disproportionation reaction.
4. Balancing the Reactions
Reaction 1:
\[ \text{ClO}_2 (aq) + \text{SbO}_2 (aq) \rightarrow \text{ClO}_2^{-} (aq) + \text{Sb(OH)}_6^{-} (aq) \] (Basic solution)
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Half-Reactions:
- Oxidation half-reaction: \[ \text{SbO}_2 + 2e^{-} \rightarrow \text{Sb(OH)}_6^{-} \]
- Reduction half-reaction: \[ \text{ClO}_2 + 2e^{-} \rightarrow \text{ClO}_2^{-} \]
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Balancing: You would multiply each half-reaction accordingly to balance electrons exchanged if necessary and combine the two half-reactions.
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Identify reduced and oxidized:
- Reduced Reactant: ClO\(_2\) (goes from +4 to -1)
- Oxidized Reactant: SbO\(_2\) (goes from +3 to +5)
Reaction 2:
\[ \text{Hg} (l) + \text{NO}_3^{-} (aq) + \text{Cl}^{-} (aq) \rightarrow \text{HgCl}_4^{2-} + \text{NO}_2 (g) \] (Acidic solution)
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Half-Reactions:
- Oxidation half-reaction: \[ \text{Hg} \rightarrow \text{HgCl}_4^{2-} + 2e^{-} \]
- Reduction half-reaction: \[ 2\text{NO}_3^{-} + 4e^{-} \rightarrow \text{NO}_2 + 2H+ + 2H_2O \]
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Balancing: Make sure the overall charge and number of atoms are balanced on both sides.
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Identify reduced and oxidized:
- Reduced Reactant: NO\(_3^{-}\) (is reduced)
- Oxidized Reactant: Hg (is oxidized)
This is the systematic approach to balancing the reactions and determining whether they are redox reactions, as well as identifying the oxidation states and the oxidized/reduced species. Each step is crucial for understanding the chemistry involved.