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Nernst Equation

The standard ...

Question

The standard emf for the cell reaction $Z n + {C u}^{2 +} ⟶ {Z n}^{2 +} C u$ $1.10$ volt at $25$ C. The emf for the cell reaction when 0.1 $M {C u}^{2 +}$ and 0.1 $M {Z n}^{2 +}$ solutions are used at $25$ C is:

1.10

volt

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0.110

volt

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1.70

volt

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0.225

volt

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Solution

The correct option is A $1.10$ volt
$E_{c e l l} = E_{o} - \frac{R T}{2 F} \times l n (\frac{Z n^{2 +}}{C u^{2 +}})$
$E_{o} = 1.10$ , $[C u^{2 +}] = 0.1, Z n^{2 +} = 0.1$
Hence, $E_{c e l l} = 1.10 - \frac{R T}{2 F} \times l n (\frac{0.1}{0.1})$
$= 1.10 - 0$
$= 1.10 v o l t$
Hence, option A is correct.

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