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Equilibrium Constant from Nernst Equation

The emf of th...

Question

The emf of the following cells are:
$A g | A g^{+} (1 M) | | C u^{2 +} (1 M) | C u E_{c e l l} = - 0.46 V a n d$
$Z n | Z n^{2 +} (1 M) | | C u^{2 +} (1 M) | C u E_{c e l l} = + 1.10 V .$
Then the emf of the cell $Z n | Z n^{2 +} (1 M) | | A g^{+} (1 M) | A g$ is:

0.64V

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1.1V

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1.56V

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– 0 .64V

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Solution

The correct option is C 1.56V
$A g | A g^{+} (1 M) | | C u^{2 +} (1 M) C u E_{c e l l} = - 0.46 V$
$E_{C u^{2 +} / C u}^{0} - E_{A g^{+} / A g}^{0} = - 0.46 V$
$Z n | Z n^{2 +} (1 M) | | C u^{2 +} (1 M) | C u E_{c e l l} = + 1.10 V$
$E_{C u^{2 +} / C u}^{0} - E_{Z n^{2 +} / Z n}^{0} = 1.10 V$
$Z n | Z n^{2 +} (1 M) | | A g^{+} (1 M) | A g$
$E_{A g^{+} / A g}^{0} - E_{Z n^{2 +} / Z n}^{0} = (E_{C u^{2 +} / C u}^{0} - E_{Z n^{2 +} / Z n}^{0}) - (E_{C u^{2 +} / C u}^{0} - E_{A g^{+} / A g}^{0}) = 1.1 - (- 0.46) = 1.56 V$

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