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For the cell: Zn(s)|ZnSO(4)(aq)||CuSO(4)...

For the cell: `Zn(s)|ZnSO_(4)(aq)||CuSO_(4)(aq)Cu(s)`, calculate standard cell potential if standard state reduction electrode potentials for `Cu^(2+)//Cu and Zn^(2+)//Zn` are +0.34V and -0.76V respectively.

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To calculate the standard cell potential for the given electrochemical cell \( \text{Zn(s)} | \text{ZnSO}_4(aq) || \text{CuSO}_4(aq) | \text{Cu(s)} \), we will follow these steps: ### Step 1: Identify the half-reactions In this electrochemical cell: - The oxidation half-reaction occurs at the anode (zinc side): \[ \text{Zn} \rightarrow \text{Zn}^{2+} + 2e^- \] - The reduction half-reaction occurs at the cathode (copper side): \[ \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \] ### Step 2: Write the standard reduction potentials From the problem, we have the standard reduction potentials: - For copper: \[ E^\circ_{\text{Cu}^{2+}/\text{Cu}} = +0.34 \, \text{V} \] - For zinc: \[ E^\circ_{\text{Zn}^{2+}/\text{Zn}} = -0.76 \, \text{V} \] ### Step 3: Determine the standard cell potential The standard cell potential \( E^\circ_{\text{cell}} \) can be calculated using the formula: \[ E^\circ_{\text{cell}} = E^\circ_{\text{cathode}} - E^\circ_{\text{anode}} \] Here, the cathode is where reduction occurs (copper), and the anode is where oxidation occurs (zinc). Substituting the values: \[ E^\circ_{\text{cell}} = E^\circ_{\text{Cu}^{2+}/\text{Cu}} - E^\circ_{\text{Zn}^{2+}/\text{Zn}} \] \[ E^\circ_{\text{cell}} = 0.34 \, \text{V} - (-0.76 \, \text{V}) \] \[ E^\circ_{\text{cell}} = 0.34 \, \text{V} + 0.76 \, \text{V} \] \[ E^\circ_{\text{cell}} = 1.10 \, \text{V} \] ### Conclusion The standard cell potential for the given electrochemical cell is: \[ E^\circ_{\text{cell}} = 1.10 \, \text{V} \]
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