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Ch.20 - Electrochemistry
Chapter 20, Problem 79b

Heart pacemakers are often powered by lithium–silver chromate 'button' batteries. The overall cell reaction is 2 Li(s) + Ag2CrO4(s) → Li2CrO4(s) + 2 Ag(s) (b) Choose the two half-reactions from Appendix E that most closely approximate the reactions that occur in the battery. What standard emf would be generated by a voltaic cell based on these half-reactions?

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1
Step 1: Identify the oxidation and reduction half-reactions.
Step 2: Look up the standard reduction potentials for each half-reaction from Appendix E.
Step 3: Write the oxidation half-reaction and its corresponding standard potential.
Step 4: Write the reduction half-reaction and its corresponding standard potential.
Step 5: Calculate the standard emf (E°cell) by subtracting the standard potential of the oxidation half-reaction from the standard potential of the reduction half-reaction.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Half-Reactions

Half-reactions represent the individual oxidation and reduction processes occurring in an electrochemical cell. In a voltaic cell, one half-reaction involves the loss of electrons (oxidation), while the other involves the gain of electrons (reduction). Understanding these half-reactions is crucial for determining the overall cell reaction and calculating the standard electromotive force (emf).
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Standard Electrode Potential

The standard electrode potential (E°) is a measure of the tendency of a chemical species to be reduced, measured under standard conditions. Each half-reaction has a specific E° value, which can be found in electrochemical series tables. The standard emf of a voltaic cell can be calculated by subtracting the E° of the oxidation half-reaction from that of the reduction half-reaction.
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Voltaic Cell

A voltaic cell, also known as a galvanic cell, converts chemical energy into electrical energy through spontaneous redox reactions. It consists of two electrodes (anode and cathode) immersed in electrolyte solutions. The flow of electrons from the anode to the cathode generates an electric current, and the cell's emf indicates its voltage output, which is essential for applications like powering pacemakers.
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Related Practice
Textbook Question

During a period of discharge of a lead–acid battery, 402 g of Pb from the anode is converted into PbSO4(s). (b) How many coulombs of electrical charge are transferred from Pb to PbO2?

Textbook Question

During the discharge of an alkaline battery, 4.50 g of Zn is consumed at the anode of the battery. (b) How many coulombs of electrical charge are transferred from Zn to MnO2?

Textbook Question

Heart pacemakers are often powered by lithium–silver chromate 'button' batteries. The overall cell reaction is 2 Li(s) + Ag2CrO4(s) → Li2CrO4(s) + 2 Ag(s) (a) Lithium metal is the reactant at one of the electrodes of the battery. Is it the anode or the cathode?

Textbook Question

In some applications nickel–cadmium batteries have been replaced by nickel–zinc batteries. The overall cell reaction for this relatively new battery is: 2 H2O(l) + 2 NiO(OH)(s) + Zn(s) → 2 Ni(OH)2(s) + Zn(OH)2(s) (b) What is the anode half-reaction?

Textbook Question

In some applications nickel–cadmium batteries have been replaced by nickel–zinc batteries. The overall cell reaction for this relatively new battery is: 2 H2O(l) + 2 NiO(OH)(s) + Zn(s) → 2 Ni(OH)2(s) + Zn(OH)2(s) (c) A single nickel–cadmium cell has a voltage of 1.30 V. Based on the difference in the standard reduction potentials of Cd2+ and Zn2+, what voltage would you estimate a nickel–zinc battery will produce? (d) Would you expect the specific energy density of a nickel–zinc battery to be higher or lower than that of a nickel–cadmium battery?

Textbook Question

Li-ion batteries used in automobiles typically use a LiMn2O4 cathode in place of the LiCoO2 cathode found in most Li-ion batteries. (a) Calculate the mass percent lithium in each electrode material.