Question

Describe in shorthand notation a galvanic cell for which the cell reaction is Cu(s)+2Fe3+(aq)→Cu2+(aq)+2Fe2+(aq)

Answer 1

Final answer: The shorthand notation for a given galvanic cell is: $Cu(s)|Cu^{2+}(aq)||Fe^{3+}(aq)|Fe^{2+}(aq)$

Given that: We are given, $Cu(s)+2Fe^{3+}(aq)$ ⟶ $Cu^{2+}(aq)+2Fe^{2+}(aq)$

To find: We have to find the shorthand notation for a given galvanic cell.

Explanation:

• Given cell reaction: $Cu(s)+2Fe^{3+}(aq)$ ⟶ $Cu^{2+}(aq)+2Fe^{2+}(aq)$

• In the above cell reaction, each metal rod in contact with a specific concentration of its ions in an aqueous solution constitutes a single electrode (half-cell).

• We may represent them as:

$Cu|Cu^{2+} (aq)$ also written as $Cu;Cu^{2+} (aq)$

$Fe^{2+}|Fe^{3+} (aq)$ also written as $Fe^{2+};Fe^{3+} (aq)$

• The electrode (or half-cell) reactions and the net cell reaction are given below.

Half-cell reaction:

$Fe^{3+}+e^{-}$⟶ $Fe^{2+}$        $E^{0}_{Fe^{3+}|Fe^{2+}}$ $= 0.77$ $V$

$Cu^{2+}+2e^{-}$⟶ $Cu$        $E^{0}_{Cu^{2+}|Cu}$ $= 0.34$ $V$

Net cell reaction: $Cu(s)+2Fe^{3+}(aq)$ ⟶ $Cu^{2+}(aq)+2Fe^{2+}(aq)$

• To balance the cell reaction and calculate the cell potential, we must reverse the second reaction.

$Cu$ ⟶ $Cu^{2+} +2e^{-}$   $-E^{0}_{Cu^{2+}|Cu}$$= -0.34$ $V$

Here, copper (Cu) atoms produce two electrons but each $Fe^{3+}$ ion accepts only one electron, therefore first half-cell reaction must be multiplied by 2.

$2Fe^{3+} +2e^{-}$ ⟶ $2Fe^{2+}$  $E^{0}_{Fe^{3+}|Fe^{2+}}$ $= 0.77$ $V$

• In a symbolic representation of a galvanic cell, the anode is written on the left-hand side and the cathode on the right-hand side; in the cathode representation, the electrolyte is shown first and then the metal. This is referred to as a cell diagram.

• A double vertical line, when shown in between the two electrode representations, indicates the presence of a salt bridge connecting the two electrolyte solutions.

• Thus the given cell may be represented as:

$Cu(s)|Cu^{2+}(aq)||Fe^{3+}(aq)|Fe^{2+}(aq)$

Hence, the shorthand notation for a given galvanic cell is: $Cu(s)|Cu^{2+}(aq)||Fe^{3+}(aq)|Fe^{2+}(aq)$

To know more about the concept please go through the links

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