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Electrochemical Cells, Galvanic Cells

Calculate the...

Question

Calculate the EMF of a Daniel cell when the concentration of $Z n {S O}_{4}$ and $C u {S O}_{4}$ are 0.001 M and 0.1 respectively. The standard potential of the cell is 1.1 V.

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Solution

$Z n + {C u}^{2 +} \to {Z n}^{2 +} + C u$
Nernst equation:
$E_{c e l l} = E^{0} - \frac{0.059}{n} l o g ⎡ ⎢ ⎢ ⎣ \frac{({Z n}^{2 +})}{({C u}^{2 +})} ⎤ ⎥ ⎥ ⎦$
$E_{c e l l} = 1.1 - \frac{0.059}{2} l o g [\frac{0.001}{0.1}]$
$E_{c e l l} = 1.1 - \frac{0.059}{2} \times (- 2) = 1.159 V$

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