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Describe galvanic and electrolytic cells and calculate cell potentials from standard electrode potentials
Galvanic and electrolytic cells, electrodes and salt bridges, the standard electrode potential table, calculating cell EMF, and predicting spontaneity.
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What this dot point is asking
Electrochemistry connects redox reactions with electrical energy. There are two main cell types. A galvanic (or voltaic) cell converts the chemical energy of a spontaneous redox reaction into electrical energy. An electrolytic cell does the opposite, using an external electrical supply to force a non-spontaneous redox reaction to proceed. Both rely on separating oxidation and reduction so that electrons travel through an external circuit.
In any electrochemical cell, oxidation occurs at the anode and reduction occurs at the cathode. A useful memory aid is that both anode and oxidation begin with vowels, and cathode and reduction with consonants. The sign of each electrode differs between cell types, which is a common point of confusion. In a galvanic cell the anode is negative and the cathode is positive. In an electrolytic cell the anode is positive and the cathode is negative, because the power supply imposes the polarity.
A galvanic cell has two half-cells, each containing an electrode in an electrolyte. Electrons flow from the anode, through the external wire, to the cathode. A salt bridge connects the two half-cells and allows ions to move so that electrical neutrality is maintained. Without the salt bridge, charge would build up and the reaction would stop almost immediately. Anions in the salt bridge move toward the anode and cations move toward the cathode to balance the charge produced by electron flow.
The driving force of a cell is measured by the cell potential, or electromotive force (EMF), in volts. Each half-reaction has a standard electrode potential, , measured relative to the standard hydrogen electrode, which is defined as 0 volts. Standard conditions are 25 degrees Celsius, 1 mol/L concentrations, and 100 kPa pressure for gases. These potentials are tabulated as reduction potentials, with the strongest oxidising agents at the top.
The standard cell potential is calculated as:
where both values are taken from the reduction potential table as written. A positive indicates a spontaneous reaction, which is the case for any working galvanic cell. A negative value means the reaction as written is non-spontaneous and would require electrolysis to proceed.
To predict which reaction occurs, locate both half-reactions on the table. The half-reaction with the more positive reduction potential proceeds as a reduction at the cathode, and the other reverses to become an oxidation at the anode. This top-left to bottom-right rule helps you decide the spontaneous direction.
In electrolysis, an external voltage drives reactions at inert or active electrodes. When more than one species could react, the one easiest to reduce (highest reduction potential) is favoured at the cathode, and the one easiest to oxidise at the anode, although factors such as concentration and overpotential can change the actual product. Electrolysis is used industrially to extract reactive metals such as aluminium and to electroplate objects.
When answering, state the half-equations, identify anode and cathode with correct signs for the cell type, and use the standard potential table to justify the spontaneous direction.
Exam-style practice questions
Practice questions written in the style of TASC exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.
2022 TASC5 marksAn electrochemical cell is constructed using a half-cell with a platinum rod in 1.00 mol L-1 FeCl2(aq) and 1.00 mol L-1 FeCl3(aq), a half-cell with a copper rod in 1.00 mol L-1 CuCl2(aq), connecting wires, a voltmeter and a sodium nitrate salt bridge. Write the anode, cathode and overall equations that describe this cell, and calculate the maximum voltage expected on the voltmeter.Show worked answer β
Compare standard reduction potentials. Fe3+ + e- -> Fe2+ has E = +0.77 V; Cu2+ + 2e- -> Cu has E = +0.34 V. The half-cell with the higher (more positive) reduction potential is reduced (cathode); the lower one is oxidised (anode).
Cathode (reduction, the Fe3+/Fe2+ half-cell): Fe3+(aq) + e- -> Fe2+(aq). (3 marks for the three equations)
Anode (oxidation, the copper half-cell): Cu(s) -> Cu2+(aq) + 2e-.
Overall: balance electrons by multiplying the iron half-equation by 2, giving 2Fe3+(aq) + Cu(s) -> 2Fe2+(aq) + Cu2+(aq).
Maximum voltage (2 marks): EMF = E(cathode) - E(anode) = 0.77 - 0.34 = +0.43 V. The platinum electrode is inert and simply carries electrons; it is the Fe3+/Fe2+ couple that sets the potential.
2023 TASC4 marksA student constructed an electrochemical cell using a copper electrode in a solution of Cu2+ ions and a chromium electrode in a solution of Cr3+ ions. With reference to the relevant half-equations, describe what would be observed at the anode and cathode as the cell operates.Show worked answer β
Chromium is the stronger reducer (Cr3+ + 3e- -> Cr has E about -0.74 V, well below Cu2+ + 2e- -> Cu at +0.34 V), so chromium is oxidised at the anode and copper(II) is reduced at the cathode.
Anode (chromium electrode, negative terminal): Cr(s) -> Cr3+(aq) + 3e-. Observation: the chromium electrode loses mass and gradually dissolves, and the Cr3+ concentration in solution increases. (2 marks)
Cathode (copper electrode, positive terminal): Cu2+(aq) + 2e- -> Cu(s). Observation: copper metal is deposited so the electrode gains mass, and the blue colour of the Cu2+ solution fades as Cu2+ ions are removed. (2 marks)
Electrons flow through the external wire from the chromium anode to the copper cathode.