D40.5 Voltaic Cell Potential

When a voltaic cell is connected to a load, such as a light bulb, an electric current flows because there is a difference in electrical potential between the two electrodes. That electrical potential difference can be measured using a potentiometer (a voltmeter).

The voltaic cell shown below involves the spontaneous reaction:

Cu(s) + 2 Ag+(aq) ⟶ Cu2+(aq) + 2 Ag(s)
This figure contains a diagram of an voltaic cell. Two beakers are shown. Each is just over half full. The beaker on the left contains a blue solution and is labeled below as “1 M solution of copper (II) nitrate ( C u ( N O subscript 3 ) subscript 2 ).” The beaker on the right contains a colorless solution and is labeled below as “1 M solution of silver nitrate ( A g N O subscript 3 ).” A glass tube in the shape of an inverted U connects the two beakers at the center of the diagram. The tube contents are colorless. The ends of the tubes are beneath the surface of the solutions in the beakers and a small grey plug is present at each end of the tube. At the center of the diagram, the tube is labeled “Salt bridge ( N a N O subscript 3 ). Each beaker shows a metal strip partially submerged in the liquid. The beaker on the left has an orange brown strip that is labeled “C u anode ” at the top. The beaker on the right has a silver strip that is labeled “A g cathode” at the top. A wire extends from the top of each of these strips to a rectangular digital readout indicating a reading of positive 0.46 V that is labeled “Voltmeter.” The left side of the voltmeter has a minus sign indicating a negative terminal. The wire from the copper strip connects to this terminal. The right side of the voltmeter has a plus sign indicating a positive terminal. The wire from the silver strip connects to this terminal.
Figure: Potential difference between electrodes. In this voltaic cell, an electrical potential difference between the electrodes is being measured with a voltmeter. When the concentrations of both solutions are 1 M, the potential difference for this cell is 0.46 V.

According to the reaction equation, copper loses electrons and is oxidized to copper(II) ions, so the half-cell with the copper electrode is the anode. According to the reaction equation, silver ions gain electrons and are reduced to silver, so the half-cell with the silver electrode is the cathode. The copper electrode has a more negative potential than the silver electrode.

When the more negative copper electrode is connected to the negative terminal of the voltmeter and the more positive silver electrode is connected to the positive terminal of the voltmeter, the meter reads +0.46 V. This reading is called the cell potential, Ecell. It is a measure of the energy per unit charge available from a redox reaction (V = J/C). A positive cell potential indicates how much electrical work a spontaneous reaction in a voltaic cell can do per unit electric charge moving though the circuit.

Under standard-state conditions (1 bar or 1 M), the cell potential is the standard cell potential, E°cell (pronounced “E-standard-cell”). Thus, based on the voltmeter reading in the figure above, E°cell = 0.46 V.

A voltmeter measures the difference in electrical potential between its positive terminal and its negative terminal. Because the positive meter terminal is on the right in the figure above, the cell potential is the difference in electrical potential between the right-hand half-cell and the left-hand half-cell, and we can write:

Ecell = Eright half-cell – Eleft half-cell

In the above figure, all concentrations are 1 M (standard-state conditions), so we can also write,

E°cell = E°right half-cell – E°left half-cell

If the wire connections are reversed, a typical voltmeter would read −0.46 V. This provides an experimental way to determine which half-cell is the cathode and which is the anode: a positive voltmeter reading indicates that the meter’s negative terminal is connected to the anode and the positive terminal is connected to the cathode; a negative voltmeter reading indicates the negative terminal is connected to the cathode and the positive terminal is connected to the anode.

The cell potential of a voltaic cell depends on the substances in each half-cell and the concentrations of solutions and partial pressures of gases involved in the half-cell. A salt bridge must be present to complete an electric circuit. In the salt bridge when the cell generates electric current, anions move toward the anode and cations move toward the cathode.

Exercise: Voltaic Cell Terminology

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