CUET · CHEMISTRY · PYQ PAPER 2025
What is the correct Nernst equation for the following cell?
\(Zn(s)|Zn^{2+}||Ag^{+}|Ag(s)\)
- A \(E_{\text {cell }}=E_{\text {cell }}^{\circ}-\frac{R T}{F} \log \frac{\left[ Ag ^{+}\right]}{\left[ Zn ^{2+}\right]}\)
- B \(E_{\text {cell }}=E_{\text {cell }}^{\circ}-\frac{2.303 R T}{n F} \log \frac{\left[ Zn ^{2+}\right]}{\left[ Ag ^{+}\right]^2}\)
- C \(E_{\text {cell }}=E_{\text {cell }}^{\circ}-\frac{2.303 R T}{F} \log \frac{\left[ Ag ^{+}\right]}{\left[ Zn ^{2+}\right]}\)
- D \(E_{\text {cell }}=E_{\text {cell }}^{\circ}-\frac{2.303 R T}{n F} \log \frac{\left[ Zn ^{2+}\right]}{\left[ Ag ^{+}\right]}\)
Answer & Solution
Correct Answer
(B) \(E_{\text {cell }}=E_{\text {cell }}^{\circ}-\frac{2.303 R T}{n F} \log \frac{\left[ Zn ^{2+}\right]}{\left[ Ag ^{+}\right]^2}\)
Step-by-step Solution
Detailed explanation
Overall reaction: \(Zn(s) + 2Ag^{+}(aq) \\to Zn^{2+}(aq) + 2Ag(s)\) \(n = 2\) \(Q = \\frac{[Zn^{2+}]}{[Ag^{+}]^2}\) \(E_{\\text{cell}} = E_{\\text{cell}}^{\\circ} - \\frac{2.303 RT}{nF} \\log Q\)…
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