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Question: For a cell given below :\(\text{Ag }|\text{ A}\text{g}^{+}\ ||\text{ C}\text{u}^{\text{2+}}\ |\text{...

For a cell given below :Ag ∣ Ag+ ∣∣ Cu2+ ∣ Cu\text{Ag }|\text{ A}\text{g}^{+}\ ||\text{ C}\text{u}^{\text{2+}}\ |\text{ Cu}

 - +\text{ -} \text{ +}

$$$\text{C}\text{u}^{\text{2+}}\text{ + 2}\text{e}^{-}\overset{\quad\quad}{\rightarrow}\text{Cu,} E^{0}\text{ = y}$ The value of ${E^{0}}_{\text{cell}}\ $is :
A

x + 2y

B

2x + y

C

y – x

D

y – 2x

Answer

y – x

Explanation

Solution

At LHS (oxidation) 2 × (Ag →Ag+ + e− ) E0ox = -xAt RHS (reduction) Cu2+ + 2e−→ Cu E0red = + y2Ag + Cu2+→Cu + 2Ag+, E0red = (y - x)\text{At LHS }(\text{oxidation})\text{ 2 × }(\text{Ag }\overset{\quad\quad}{\rightarrow}\text{A}\text{g}^{+}\text{ + }\text{e}^{-}\ )\text{ } {E^{0}}_{\text{ox}}\text{ = -x}\text{At RHS }(\text{reduction})\text{ C}\text{u}^{\text{2+}}\text{ + 2}\text{e}^{-}\overset{\quad\quad}{\rightarrow}\text{ Cu} \text{ }{\text{E}^{0}}_{\text{red}}\text{ = + y}\text{2Ag + C}\text{u}^{\text{2+}}\overset{\quad\quad}{\rightarrow}\text{Cu + 2A}\text{g}^{+}\text{, } {E^{0}}_{\text{red}}\text{ = }(\text{y - x})