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  4. The standard reduction potential of Cu2+ / Cu and Ag+/Ag electrodes are 0.337 and 0.799 V respectively. Construct a galvanic cell using these electrodes so that its standard emf is positive. For what concentration of Ag+ will the emf of the cell, at 25° C, be zero if the concentration of Cu2+ is 0.01 M?

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Q. The standard reduction potential of $Cu^{2+} / Cu$ and $ Ag^+/Ag $ electrodes are $0.337$ and $0.799 \,V$ respectively. Construct a galvanic cell using these electrodes so that its standard emf is positive. For what concentration of $Ag^+$ will the emf of the cell, at $25^\circ C$, be zero if the concentration of $ Cu^{2+}$ is $0.01\, M$?

IIT JEEIIT JEE 1990Electrochemistry

Solution:

The galvanic cell is : $Cu| Cu^{2+}|| Ag^+ | Ag$
Cell reaction : $ Cu + 2Ag^+ \rightleftharpoons Cu^{2+}\, + 2Ag; E^\circ = 0.462\, V $
$ E = 0 + 0.462 - \frac{0.0592}{2}\log \frac{(0.01)}{[Ag^+]^2}$
$\Rightarrow [Ag^+] = 1.57 \times 10^{-9}\, M$