For the Galvanic cell:Ag_{(s)} , | , Ag_2C_2O | vedclass

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(C) The cell reactions are:Anode: $2Ag_{(s)} + C_2O_4^{2-} \rightarrow Ag_2C_2O_{4(s)} + 2e^-$Cathode: $2Ag^+ + 2e^- \rightarrow 2Ag_{(s)}$Overall rea

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$8 	imes 10^{-12}$

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(C) The cell reactions are:Anode: $2Ag_{(s)} + C_2O_4^{2-} ightarrow Ag_2C_2O_{4(s)} + 2e^-$Cathode: $2Ag^+ + 2e^- ightarrow 2Ag_{(s)}$Overall reaction: $2Ag^+ + C_2O_4^{2-} ightarrow Ag_2C_2O_{4(s)}$$E_{cell} = E^0_{cell} - \frac{0.06}{2} \log \frac{1}{[Ag^+]^2 [C_2O_4^{2-}]}$$E^0_{cell} = E^0_{Ag^+/Ag} - E^0_{Ag^+/Ag} = 0 \ V$$0.264 = 0 - 0.03 \log \frac{1}{(0.5)^2 (0.02)}$$0.264 = -0.03 \log \frac{1}{0.25 	imes 0.02} = -0.03 \log \frac{1}{0.005} = -0.03 \log(200)$$0.264 = -0.03 (\log 2 + 2) = -0.03 (0.3 + 2) = -0.03 (2.3) = -0.069 \ V$Wait,the $E^0_{cell}$ is related to $K_{sp}$ as $E^0_{cell} = \frac{0.06}{2} \log K_{sp}$.$0.264 = \frac{0.06}{2} \log \frac{1}{[Ag^+]^2 [C_2O_4^{2-}]} = 0.03 \log \frac{1}{K_{sp}}$$0.264 = 0.03 \log \frac{1}{[Ag^+]^2 [C_2O_4^{2-}]}$$8.8 = \log \frac{1}{[Ag^+]^2 [C_2O_4^{2-}]}$Using $K_{sp} = [Ag^+]^2 [C_2O_4^{2-}]$,we have $E_{cell} = \frac{0.06}{2} \log \frac{1}{K_{sp}}$$0.264 = 0.03 \log \frac{1}{K_{sp}} \Rightarrow 8.8 = \log \frac{1}{K_{sp}}$$K_{sp} = 10^{-8.8} = 10^{0.2} 	imes 10^{-9} \approx 1.58 	imes 10^{-9}$.Re-evaluating: $E_{cell} = E^0_{cell} - 0.03 \log Q$. $E^0_{cell} = 0.03 \log K_{sp}$.$0.264 = 0.03 \log K_{sp} - 0.03 \log \frac{1}{[Ag^+]^2 [C_2O_4^{2-}]}$$0.264 = 0.03 \log (K_{sp} 	imes [Ag^+]^2 [C_2O_4^{2-}])$$8.8 = \log (K_{sp} / (0.25 	imes 0.02)) = \log (K_{sp} / 0.005)$$10^{8.8} = K_{sp} / 0.005$ $\Rightarrow K_{sp} = 0.005 	imes 10^{8.8} = 5 	imes 10^{-3} 	imes 6.3 	imes 10^8 = 3.15 	imes 10^6$ (Incorrect approach).Correct approach: $E_{cell} = 0.03 \log \frac{[Ag^+]^2 [C_2O_4^{2-}]}{K_{sp}}$$0.264 = 0.03 \log \frac{(0.5)^2 (0.02)}{K_{sp}} = 0.03 \log \frac{0.005}{K_{sp}}$$8.8 = \log \frac{0.005}{K_{sp}} \Rightarrow 10^{8.8} = \frac{0.005}{K_{sp}}$$K_{sp} = 0.005 / 6.3 	imes 10^8 \approx 8 	imes 10^{-12}$.

For the Galvanic cell:
$Ag_{(s)} \, | \, Ag_2C_2O_{4(s)} \, | \, C_2O_4^{2-} (0.02 \ M) \, || \, Ag^{+}(0.5 \ M) \, | \, Ag_{(s)}$
$EMF$ of the cell is $0.264 \ V$ at $25 \ ^oC$. The $K_{sp}$ of $Ag_2C_2O_{4(s)}$ is:
$[Given: \frac{2.303RT}{F} = 0.06, \ \log 2 = 0.3]$

Similar Questions

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For the cell: $Ag | AgCl | KCl(1 \ M) || KBr(1 \ M) | AgBr | Ag$,select the correct option.

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For the Galvanic cell:$Ag_{(s)} \, | \, Ag_2C_2O_{4(s)} \, | \, C_2O_4^{2-} (0.02 \ M) \, || \, Ag^{+}(0.5 \ M) \, | \, Ag_{(s)}$$EMF$ of the cell is $0.264 \ V$ at $25 \ ^oC$. The $K_{sp}$ of $Ag_2C_2O_{4(s)}$ is:$[Given: \frac{2.303RT}{F} = 0.06, \ \log 2 = 0.3]$