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Ch.19 - Electrochemistry
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145당신이 사용하는 게 아니라요?교과서 변경
19장, 문제 161b

Experimental solid-oxide fuel cells that use butane (C4H10) as the fuel have been reported recently. These cells contain composite metal/metal oxide electrodes and a solid metal oxide electrolyte. The cell half-reactions are (b) Use the thermodynamic data in Appendix B to calculate the values of E° and the equilibrium constant K for the cell reaction at 25 °C. Will E° and K increase, decrease, or remain the same on raising the temperature?

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1
Identify the half-reactions for the solid-oxide fuel cell using butane as the fuel. Typically, the oxidation of butane and the reduction of oxygen are involved.
Use the standard reduction potentials from Appendix B to calculate the standard cell potential, E°, by combining the half-reactions. Remember that E° = E°(cathode) - E°(anode).
Calculate the standard Gibbs free energy change, ΔG°, for the cell reaction using the formula ΔG° = -nFE°, where n is the number of moles of electrons transferred and F is the Faraday constant.
Determine the equilibrium constant, K, for the cell reaction using the relationship ΔG° = -RTlnK, where R is the universal gas constant and T is the temperature in Kelvin.
Discuss the effect of temperature on E° and K. According to the Nernst equation and the van 't Hoff equation, consider how changes in temperature might affect the cell potential and equilibrium constant.

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Electrochemical Cell Reactions

Electrochemical cells consist of two half-reactions: oxidation and reduction. In a solid-oxide fuel cell, the fuel (butane) undergoes oxidation at the anode, while a reduction reaction occurs at the cathode. Understanding these half-reactions is crucial for calculating the overall cell reaction and its thermodynamic properties.
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02:46
Electrochemical Cells

Standard Electrode Potential (E°)

The standard electrode potential (E°) is a measure of the tendency of a chemical species to be reduced, expressed in volts. It is determined under standard conditions (1 M concentration, 1 atm pressure, and 25 °C). E° values are essential for predicting the direction of electron flow in electrochemical cells and calculating the cell's overall potential.
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Standard Cell Potential

Equilibrium Constant (K) and Temperature Dependence

The equilibrium constant (K) quantifies the ratio of products to reactants at equilibrium for a given reaction. According to the van 't Hoff equation, K is temperature-dependent; as temperature increases, K can either increase or decrease depending on whether the reaction is exothermic or endothermic. This relationship is vital for understanding how changes in temperature affect the cell's performance.
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Equilibrium Constant K
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교과서 질문

The half-reactions that occur in ordinary alkaline batteries can be written as In 1999, researchers in Israel reported a new type of alkaline battery, called a 'super-iron' battery. This battery uses the same anode reaction as an ordinary alkaline battery but involves the reduction of FeO42- ion (from K2FeO4) to solid Fe(OH)3 at the cathode. (a) Use the following standard reduction potential and any data from Appendixes C and D to calculate the standard cell potential expected for an ordinary alkaline battery:

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교과서 질문

The half-reactions that occur in ordinary alkaline batteries can be written as In 1999, researchers in Israel reported a new type of alkaline battery, called a 'super-iron' battery. This battery uses the same anode reaction as an ordinary alkaline battery but involves the reduction of FeO42- ion (from K2FeO4) to solid Fe(OH)3 at the cathode. (b) Write a balanced equation for the cathode half-reaction in a super-iron battery. The half-reaction occurs in a basic environment.

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교과서 질문

Consider the redox titration (Section 4.13) of 120.0 mL of 0.100 M FeSO4 with 0.120 M K2Cr2O7 at 25 °C, assuming that the pH of the solution is maintained at 2.00 with a suitable buffer. The solution is in contact with a platinum electrode and constitutes one half-cell of an electrochemical cell. The other half-cell is a standard hydrogen electrode. The two half-cells are connected with a wire and a salt bridge, and the progress of the titration is monitored by measuring the cell potential with a voltmeter. (a) Write a balanced net ionic equation for the titration reaction, assuming that the products are Fe3+ and Cr3+.

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교과서 질문
The nickel–iron battery has an iron anode, an NiO(OH) cathode, and a KOH electrolyte. This battery uses the follow-ing half-reactions and has an E° value of 1.37 V at 25 °C. (b) Calculate ∆G° (in kilojoules) and the equilibrium con-stant K for the cell reaction at 25 °C.
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교과서 질문
Consider a galvanic cell that utilizes the following half-reactions:

(b) What are the values of E° and the equilibrium constant K for the cell reaction at 25 °C?
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교과서 질문

Experimental solid-oxide fuel cells that use butane (C4H10) as the fuel have been reported recently. These cells contain composite metal/metal oxide electrodes and a solid metal oxide electrolyte. The cell half-reactions are (c) How many grams of butane are required to produce a constant current of 10.5 A for 8.00 h? How many liters of gaseous butane at 20 °C and 815 mm Hg pressure are required?

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