IDNLearn.com: Where your questions meet expert answers and community support. Our experts are ready to provide in-depth answers and practical solutions to any questions you may have.
Sagot :
To determine the correct shorthand notation for the given galvanic cell reaction involving [tex]\( Sn^{2+}(aq) + F_2(g) \rightarrow Sn^{3+}(aq) + 2F^-(aq) \)[/tex], we need to carefully analyze the oxidation and reduction half-reactions, and understand how to represent the galvanic cell in cell notation.
### Step-by-Step Solution:
1. Identify the Oxidation and Reduction Half-Reactions:
- The species [tex]\( Sn^{2+} \)[/tex] is oxidized to [tex]\( Sn^{3+} \)[/tex]:
[tex]\[ Sn^{2+}(aq) \rightarrow Sn^{3+}(aq) + e^- \][/tex]
- The species [tex]\( F_2 \)[/tex] is reduced to [tex]\( F^- \)[/tex]:
[tex]\[ F_2(g) + 2e^- \rightarrow 2F^-(aq) \][/tex]
2. Assign Anode and Cathode:
- Oxidation occurs at the anode, so [tex]\( Sn^{2+} \)[/tex] [tex]\( \rightarrow Sn^{3+} \)[/tex] is the anode half-reaction.
- Reduction occurs at the cathode, so [tex]\( F_2 \rightarrow 2F^- \)[/tex] is the cathode half-reaction.
3. Determine the Phases and Interfaces:
- Anode: [tex]\( Sn^{2+}(aq) \rightarrow Sn^{3+}(aq) \)[/tex]
- Cathode: [tex]\( F_2(g) \rightarrow F^-(aq) \)[/tex]
- The electrode for the anode and cathode reactions are typically inert materials such as Platinum (Pt) since neither Sn nor F are solid metals involved in the electrode directly.
4. Constructing the Cell Notation:
- Anode is placed on the left, and the cathode on the right.
- Different phases are separated by a vertical line (|) and a salt bridge represented by double vertical lines (||).
- When different oxidation states of the same element are involved in the same phase, they are separated by a comma (,).
5. Correct Cell Notation:
- Anode (Oxidation): [tex]\( Pt(s) | Sn^{2+}(aq), Sn^{3+}(aq) \)[/tex]
- Salt Bridge (Phase Boundary): [tex]\( || \)[/tex]
- Cathode (Reduction): [tex]\( F_2(g) | F^-(aq) \)[/tex]
Bringing it all together, the shorthand notation that correctly represents the galvanic cell for the reaction [tex]\( Sn^{2+}(aq) + F_2(g) \rightarrow Sn^{3+}(aq) + 2F^-(aq) \)[/tex] is:
[tex]\[ \text{Pt(s)} \mid \text{Sn}^{2+}(\text{aq}), \text{Sn}^{3+}(\text{aq}) \parallel \text{F}_2(\text{g}) \mid \text{F}^-(\text{aq}) \][/tex]
Thus, the correct shorthand notation is:
[tex]\[ \boxed{\text{Pt(s)} \mid \text{Sn}^{2+}(\text{aq}), \text{Sn}^{3+}(\text{aq}) \parallel \text{F}_2(\text{g}) \mid \text{F}^-(\text{aq})} \][/tex]
### Step-by-Step Solution:
1. Identify the Oxidation and Reduction Half-Reactions:
- The species [tex]\( Sn^{2+} \)[/tex] is oxidized to [tex]\( Sn^{3+} \)[/tex]:
[tex]\[ Sn^{2+}(aq) \rightarrow Sn^{3+}(aq) + e^- \][/tex]
- The species [tex]\( F_2 \)[/tex] is reduced to [tex]\( F^- \)[/tex]:
[tex]\[ F_2(g) + 2e^- \rightarrow 2F^-(aq) \][/tex]
2. Assign Anode and Cathode:
- Oxidation occurs at the anode, so [tex]\( Sn^{2+} \)[/tex] [tex]\( \rightarrow Sn^{3+} \)[/tex] is the anode half-reaction.
- Reduction occurs at the cathode, so [tex]\( F_2 \rightarrow 2F^- \)[/tex] is the cathode half-reaction.
3. Determine the Phases and Interfaces:
- Anode: [tex]\( Sn^{2+}(aq) \rightarrow Sn^{3+}(aq) \)[/tex]
- Cathode: [tex]\( F_2(g) \rightarrow F^-(aq) \)[/tex]
- The electrode for the anode and cathode reactions are typically inert materials such as Platinum (Pt) since neither Sn nor F are solid metals involved in the electrode directly.
4. Constructing the Cell Notation:
- Anode is placed on the left, and the cathode on the right.
- Different phases are separated by a vertical line (|) and a salt bridge represented by double vertical lines (||).
- When different oxidation states of the same element are involved in the same phase, they are separated by a comma (,).
5. Correct Cell Notation:
- Anode (Oxidation): [tex]\( Pt(s) | Sn^{2+}(aq), Sn^{3+}(aq) \)[/tex]
- Salt Bridge (Phase Boundary): [tex]\( || \)[/tex]
- Cathode (Reduction): [tex]\( F_2(g) | F^-(aq) \)[/tex]
Bringing it all together, the shorthand notation that correctly represents the galvanic cell for the reaction [tex]\( Sn^{2+}(aq) + F_2(g) \rightarrow Sn^{3+}(aq) + 2F^-(aq) \)[/tex] is:
[tex]\[ \text{Pt(s)} \mid \text{Sn}^{2+}(\text{aq}), \text{Sn}^{3+}(\text{aq}) \parallel \text{F}_2(\text{g}) \mid \text{F}^-(\text{aq}) \][/tex]
Thus, the correct shorthand notation is:
[tex]\[ \boxed{\text{Pt(s)} \mid \text{Sn}^{2+}(\text{aq}), \text{Sn}^{3+}(\text{aq}) \parallel \text{F}_2(\text{g}) \mid \text{F}^-(\text{aq})} \][/tex]
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.
