In `Cu(s) | Cu^(2+) (aq)|Ag^(+)|Ag(s)` Which of the following statements is correct ?

Options

A. `E_("cell") =E_("left") -E_("right")`
B. Cell reaction is `Cu^(2+)+(aq)+2Ag(s) rarr Cu(s) +2Ag^+(aq)`
C. Silver electrode acts as anode and copper electrode acts as cathode
D. Silver electrode acts as cathode and copper electrode acts as anode

Answer

To solve the question regarding the electrochemical cell represented as `Cu(s) | Cu^(2+) (aq) | Ag^(+) | Ag(s)`, we need to analyze the components and reactions occurring in the cell.

### Step-by-Step Solution:

1. **Identify the Components of the Cell:**
- The cell notation indicates that we have a copper (Cu) electrode and a silver (Ag) electrode.
- The left side (`Cu(s) | Cu^(2+) (aq)`) represents the anode, where oxidation occurs.
- The right side (`Ag^(+) | Ag(s)`) represents the cathode, where reduction occurs.

**Hint:** Remember that in electrochemical cells, oxidation occurs at the anode and reduction occurs at the cathode.

2. **Determine the Reactions at Each Electrode:**
- At the anode (Cu electrode), copper is oxidized:
\[ \text{Cu(s)} \rightarrow \text{Cu}^{2+}(aq) + 2e^- \]
- At the cathode (Ag electrode), silver ions are reduced:
\[ \text{Ag}^+(aq) + e^- \rightarrow \text{Ag(s)} \]

**Hint:** Oxidation involves the loss of electrons, while reduction involves the gain of electrons.

3. **Balance the Overall Reaction:**
- To balance the number of electrons transferred, we multiply the reduction reaction by 2:
\[ 2\text{Ag}^+(aq) + 2e^- \rightarrow 2\text{Ag(s)} \]
- The overall cell reaction becomes:
\[ \text{Cu(s)} + 2\text{Ag}^+(aq) \rightarrow \text{Cu}^{2+}(aq) + 2\text{Ag(s)} \]

**Hint:** Always ensure that the number of electrons lost in oxidation equals the number of electrons gained in reduction.

4. **Identify the Anode and Cathode:**
- From the reactions, we see that copper (Cu) is oxidized and acts as the anode.
- Silver (Ag) is reduced and acts as the cathode.

**Hint:** The anode is where oxidation occurs, and the cathode is where reduction occurs.

5. **Determine the Correct Statement:**
- Given the analysis, the correct statement is that "Copper electrode acts as anode and silver electrode acts as cathode."

**Hint:** Check the definitions of anode and cathode to confirm which electrode is which based on the reactions.

### Conclusion:
The correct statement regarding the electrochemical cell `Cu(s) | Cu^(2+) (aq) | Ag^(+) | Ag(s)` is that copper acts as the anode and silver acts as the cathode.