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Lesson 3 of 4Electrochemistry
Unit 5 · Lesson 3 of 4

Galvanic Cells and Cell Potential

How separating the two half-reactions of a spontaneous redox reaction produces electric current, the parts of a galvanic cell, cell notation, the standard hydrogen electrode, calculating standard cell potential from reduction potentials, and using it to predict spontaneity.

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Key things to remember

  1. 1Anode: oxidation (negative electrode in a galvanic cell). Cathode: reduction (positive electrode).
  2. 2Electrons flow through the wire from anode to cathode; in the salt bridge, anions move toward the anode and cations toward the cathode.
  3. 3 using reduction potentials for both.
  4. 4: spontaneous as written. : not spontaneous (the reverse is).
  5. 5Standard hydrogen electrode: , by definition.
  6. 6Cell notation: anode anode solution cathode solution cathode.

When zinc sits in copper(II) sulfate solution, electrons jump straight from zinc atoms to copper ions touching the metal surface. The energy released just warms the solution slightly. Now imagine putting the zinc in one beaker and the copper ions in another, and connecting them with a wire. The electrons still want to move from zinc to copper(II), but now the only path is through the wire, and a flow of electrons through a wire is an electric current. That is the idea behind every battery: a galvanic cell (also called a voltaic cell) turns the energy of a spontaneous redox reaction into electrical energy by keeping the oxidation and reduction apart.

Zn/Cu galvanic cellZn²⁺(aq)Cu²⁺(aq)ZnCu1.10 Vvoltmetere⁻e⁻Salt bridge (KNO₃)NO₃⁻K⁺Anode (−): oxidationZn → Zn²⁺ + 2e⁻Cathode (+): reductionCu²⁺ + 2e⁻ → Cu
Fig 1A zinc-copper galvanic cell. Zinc is oxidized at the anode, copper(II) ions are reduced at the cathode, electrons flow through the wire from anode to cathode, and ions move through the salt bridge.

Parts of a Galvanic Cell

PartWhat it does in the Zn-Cu cell
AnodeThe electrode where oxidation happens. . It is the negative electrode of a galvanic cell and loses mass as zinc dissolves.
CathodeThe electrode where reduction happens. . It is the positive electrode and gains mass as copper plates onto it.
External circuitThe wire (and any device, such as a voltmeter or bulb). Electrons always travel through it from anode to cathode, and never through the solutions.
Salt bridge or porous barrierContains a non-reacting electrolyte such as . Anions move toward the anode and cations move toward the cathode. Without it, the zinc beaker would build up extra and the copper beaker extra negative ions, and that charge imbalance would stop the current almost instantly.
ElectrolytesThe solutions containing the ions of each half-cell, e.g. \text{Zn{(NO}_3)}_2 and \text{Cu{(NO}_3)}_2. Ions carry the charge through the solutions.
Remember: AN OX (anode, oxidation) and RED CAT (reduction, cathode).

Cell notation describes a whole cell in one line. The anode goes on the left and the cathode on the right. A single vertical line marks a phase boundary (such as solid metal touching solution), and a double line marks the salt bridge. If a half-reaction has no solid metal to use as an electrode, as with or , an unreactive electrode such as platinum or graphite is used and written at the outer end.

Anode half-cell on the left, cathode half-cell on the right.

Standard Reduction Potentials and the Hydrogen Electrode

A voltmeter can only measure the difference in electrical potential between two half-cells, never one half-cell by itself. So chemists pick one half-cell as a reference and give it a value of exactly zero: the standard hydrogen electrode (SHE). It is a platinum electrode dipped in a solution with , with hydrogen gas bubbling over it at about 100 kPa, usually at 25 °C. Every other half-cell is connected to the SHE, and the measured voltage becomes that half-cell's standard reduction potential, . All values are written for the reduction direction.

The standard hydrogen electrode, the zero point of the reduction potential scale.
Standard reduction potentials, E° (V)Oxidizing agentReducing agentE° (V)F₂F⁻+2.87Ag⁺Ag+0.80Cu²⁺Cu+0.342H⁺H₂0.00Pb²⁺Pb−0.13Ni²⁺Ni−0.26Fe²⁺Fe−0.45Zn²⁺Zn−0.76Al³⁺Al−1.66Li⁺Li−3.04stronger oxidizing agentstronger reducing agentEach row: oxidizing agent + ne⁻ → reducing agentTypical table values; tables may differ slightly.
Fig 2Standard reduction potentials (approximate typical table values). The strongest oxidizing agents are at the top of the scale and the strongest reducing agents are at the bottom.
  • A more positive means the species is more easily reduced, so it is a stronger oxidizing agent (e.g. , about +2.87 V).
  • A more negative means the reduction is less favourable, so the reverse reaction (oxidation of the metal) is favoured. The metal is a stronger reducing agent (e.g. Li, about −3.04 V).
  • In a galvanic cell, the half-cell with the higher is the cathode; the one with the lower is the anode.
  • Typical values used in this topic: +0.80 V, +0.34 V, −0.13 V, −0.26 V, −0.76 V, −1.66 V, −2.37 V. Values may differ slightly from the table you use.

Calculating Cell Potential and Predicting Spontaneity

Both values are standard reduction potentials taken straight from the table.

For the zinc-copper cell, A positive cell potential means the reaction as written is spontaneous and the cell can do electrical work. A negative value means the reaction is not spontaneous as written; the reverse reaction is the spontaneous one. Standard potentials are for standard conditions (1 mol/L solutions, gases at about 100 kPa, 25 °C); a real cell's voltage drifts as concentrations change.

Do not multiply E values by coefficients
Doubling a half-reaction to balance electrons doubles the amount of reaction, not the voltage. is a measure of energy per unit of charge, so it stays the same no matter how many moles react. Balance the equation with coefficients, but take values straight from the table. Also note that the table lists every half-reaction as a reduction: to find the anode's value, use its listed reduction potential in the formula rather than reversing its sign first.
Loading interactive…
Choose two metal half-cells and see which becomes the anode, the direction of electron and ion flow, the cell notation and the cell potential.

Worked examples

Reveal one step at a time and try to beat it to the next line.

Example 1
A galvanic cell is built from a copper electrode in \text{Cu{(NO}_3)}_2 and a silver electrode in . Use and . Identify the anode and cathode, write the overall equation and cell notation, and find .
Example 2
An aluminum-nickel cell uses and . Write the balanced overall equation and find .
Example 3
Predict whether copper metal reacts with 1 mol/L hydrochloric acid, and compare with zinc.

Where marks get lost

  • Flipping the sign of the anode's AND subtracting it, which counts the reversal twice. Use reduction potentials from the table in , or flip one sign and add, but never both.
  • Multiplying by the coefficient used to balance electrons, e.g. using for silver.
  • Drawing electrons moving through the salt bridge or solution. Electrons travel only through the wire; ions carry the charge in solution.
  • Getting salt-bridge ion flow backward. Anions head toward the anode, which is producing positive ions; cations head toward the cathode, which is using positive ions up.
  • Writing cell notation with the cathode on the left.

Flashcards 8

Galvanic (voltaic) cell
Anode
Cathode
Function of the salt bridge
+ 4 more

Practice

1
Using and , calculate for the spontaneous magnesium-silver cell. Give your answer to 2 decimal places.
V
2
Using and , calculate for the spontaneous zinc-lead cell. Give your answer to 2 decimal places.
V
3
In the cell which way do the nitrate ions in a salt bridge move?
4
Using approximate values and , is spontaneous?
5
Why is the standard hydrogen electrode needed?
6
At which electrode of a galvanic cell does reduction occur? (one word)
7
Write the chemical symbol of the metal that is the anode in a spontaneous cell made from nickel () and silver () half-cells.
8
Using typical reduction potentials, order these metal ions from strongest to weakest oxidizing agent: Ag+, Cu2+, Pb2+, Zn2+, Mg2+.
  1. 1Mg2+ (−2.37 V)
  2. 2Zn2+ (−0.76 V)
  3. 3Pb2+ (−0.13 V)
  4. 4Ag+ (+0.80 V)
  5. 5Cu2+ (+0.34 V)
9
Match each part of the zinc-copper galvanic cell to its role.
Zinc electrode
Copper electrode
Wire
Salt bridge

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