Calculate the standard cell potential and the standard free-energy change (in kilojoules) for the reaction below. (See Appendix D for standard reduction potentials.) <QUESTION REFERENCES APPENDIX D>
Ch.19 - Electrochemistry
Chapter 19, Problem 40a
Porous pellets of TiO2 can be reduced to titanium metal at the cathode of an electrochemical cell containing molten CaCl2 as the electrolyte. When the TiO2 is reduced, the O2-ions dis-solve in the CaCl2 and are subsequently oxidized to O2 gas at the anode. This approach may be the basis for a less expensive process than the one currently used for producing titanium.
(a) Label the anode and cathode, and indicate the signs of the electrodes.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Electrochemical Cells
Electrochemical cells consist of two electrodes, the anode and cathode, where oxidation and reduction reactions occur. The anode is where oxidation takes place, losing electrons, while the cathode is where reduction occurs, gaining electrons. Understanding the flow of electrons and the reactions at each electrode is crucial for analyzing the cell's function.
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Oxidation and Reduction
Oxidation refers to the loss of electrons, while reduction is the gain of electrons. In the context of the electrochemical cell described, the TiO2 is reduced to titanium at the cathode, and the O2- ions are oxidized to O2 gas at the anode. Recognizing these processes is essential for identifying the roles of the electrodes in the cell.
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Oxidation and Reduction Reactions
Electrode Sign Convention
In electrochemical cells, the anode is conventionally assigned a positive sign in galvanic cells and a negative sign in electrolytic cells, while the cathode is the opposite. In this case, since the process involves electrolysis (reduction of TiO2), the cathode will be negative, and the anode will be positive. Understanding this convention helps in correctly labeling the electrodes.
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Porous pellets of TiO2 can be reduced to titanium metal at the cathode of an electrochemical cell containing molten CaCl2 as the electrolyte. When the TiO2 is reduced, the O2-ions dis-solve in the CaCl2 and are subsequently oxidized to O2 gas at the anode. This approach may be the basis for a less expensive process than the one currently used for producing titanium.
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