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GUJCET · Chemistry · Electrochemistry

Which of the following is correct as a Nearest equation for the given electrochemical cell ?
\[Mg_{(s)}\left|Mg_{(aq)}^{2+}(0.1 M)\left\|Cl_{(aq)}^{-}(0.1 M)\right\| Cl_{2(g)(1 bar)}\right| Pt_{(s)}\]

  1. A \(E _{\text {cell }}= E _{\text {cell }}^0-\frac{0.059}{2} \log \frac{\left[ Cl ^{-}\right]^2}{\left[ Mg ^{2+}\right]}\)
  2. B \(E _{\text {cell }}= E _{\text {cell }}^0-\frac{0.059}{2} \log \frac{\left[ Mg ^{2+}\right]}{\left[ Cl ^{-}\right]^2}\)
  3. C \(E _{\text {cell }}= E _{\text {cell }}^0-\frac{0.059}{2} \log \frac{1}{\left[ Mg ^{2+}\right]\left[ Cl ^{-}\right]^2}\)
  4. D \(E _{\text {cell }}= E _{\text {cell }}^0-\frac{0.059}{2} \log \left[ Mg ^{2+}\right]\left[ Cl ^{-}\right]^2\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(E _{\text {cell }}= E _{\text {cell }}^0-\frac{0.059}{2} \log \left[ Mg ^{2+}\right]\left[ Cl ^{-}\right]^2\)

Step-by-step Solution

Detailed explanation

\(Mg_{(s)} + Cl_{2(g)} \rightarrow Mg^{2+}_{(aq)} + 2Cl^{-}_{(aq)}\) \(n = 2\)