The EMFs of the following cells are
$C u | C u^{2 +} (1 M) | | A g^{+} (1 M) | A g, E^{o} = 0.46 V$
$Z n | Z n^{2 +} (1 M) | | C u^{2 +} (1 M) | C u, E^{o} = 1.10 V$
The EMF of the cell
$Z n | Z n^{2 +} | | A g^{+} (1 M) | A g$ will be:

1.56 V

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- 1.56 V

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0.64 V

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2.02 V

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Solution

The correct option is A $1.56 V$
According to the question:
$C u | C u^{2 +} (1 M) | | A g^{+} (1 M) | A g, E^{o} = 0.46 V . . . . . (1)$
$Z n | Z n^{2 +} (1 M) | | C u^{2 +} (1 M) | C u, E^{o} = 1.10 V . . . . . (2)$
$Z n | Z n^{2 +} | | A g^{+} (1 M) | A g . . . . . (3)$
From cell $(1), [C u + 2 A g^{+} (1 M) \to C u^{2 +} (1 M) + 2 A g] - {E_{1}}^{o} = 0.46 V$
From cell $(2), [Z n + C u^{2 +} (1 M) \to Z n^{2 +} (1 M) + C u] - {E_{2}}^{o} = 1.10 V$
After adding $(1)$ and $(2)$ , we get $(3)$
$\begin{matrix} [C u + 2 A g^{+} (1 M) \to C u^{2 +} (1 M) + 2 A g] + [Z n + C u^{2 +} (1 M) \to Z n^{2 +} (1 M) + C u] - ------------------------------------------- - Z n + 2 A g^{+} (1 M) \to Z n^{2 +} (1 M) + 2 A g - ---------------------------------------- - \end{matrix}$
$E_{n e t} = {E_{1}}^{o} + {E_{2}}^{o} = 0.46 V + 1.10 V = 1.56 V$
The correct option is (A)

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Similar questions

C u | C u^{2 +} (1 M) | | A g^{+} (1 M) | A g, E^{0} = 0.46 V

Z n | Z n^{2 +} (1 M) | | C u^{2 +} (1 M) | C u, E^{0} = 1.10 V

Z n | Z n^{2 +} (1 M) | | A g^{+} (1 M) | A g

(E^{\circ})

A g / A g^{+} (1 M) ∥ C u^{2 +} (1 M) | C u; E^{\circ} = - 0.46 v o l t

Z n / Z n^{2 +} (1 M) ∥ C u^{2 +} (1 M) | C u; E^{\circ} = + 1.10 v o l t

Z n | Z n^{2 +} (1 M) ∥ A g^{+} (1 M) | A g

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 .

Z n | Z n^{2 +} (1 M) | | A g^{+} (1 M) | A g

E_{1}, E_{2}, E_{3}

Z n | Z n_{1 M}^{2 +} | | C u_{0.1 M}^{2 +} | C u

Z n | Z n_{1 M}^{2 +} | | C u_{1 M}^{2 +} | C u

Z n | Z n_{0.1 M}^{2 +} | | C u_{1 M}^{2 +} | C u

Below given are emf of three galvanic cells, represented by $E_{1}$ , $E_{2}$ and $E_{3}$ . Which of the following is true?

I. $Z n | Z n^{2 +} (1 M) | | C u^{2 +} (1 M) | C u$

II. $Z n | Z n^{2 +} (0.1 M) | | C u^{2 +} (1 M) | C u$

III. $Z n | Z n^{2 +} (1 M) | | C u^{2 +} (0.1 M) | C u$

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