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Ch.19 - Electrochemistry
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145당신이 사용하는 게 아니라요?교과서 변경
19장, 문제 160

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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Identify the relationship between the standard cell potential (E°), the change in Gibbs free energy (∆G°), and the equilibrium constant (K). The relevant equations are: ∆G° = -nFE° and ∆G° = -RTlnK.
Determine the number of moles of electrons (n) transferred in the balanced overall cell reaction. This requires writing and balancing the half-reactions for the nickel–iron battery.
Use the equation ∆G° = -nFE° to calculate ∆G°, where F is the Faraday constant (approximately 96485 C/mol). Substitute the known values of n, F, and E° (1.37 V) into the equation.
Use the calculated ∆G° value in the equation ∆G° = -RTlnK to solve for the equilibrium constant K. Here, R is the universal gas constant (8.314 J/mol·K) and T is the temperature in Kelvin (25 °C = 298 K).
Rearrange the equation to solve for K: K = e^(-∆G°/RT). Substitute the values of ∆G°, R, and T to find the equilibrium constant K.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Gibbs Free Energy (∆G°)

Gibbs Free Energy (∆G°) is a thermodynamic potential that measures the maximum reversible work obtainable from a thermodynamic system at constant temperature and pressure. It is calculated using the equation ∆G° = -nFE°, where n is the number of moles of electrons transferred, F is the Faraday constant, and E° is the standard cell potential. A negative ∆G° indicates a spontaneous reaction.
추천 영상:
가이드 코스
01:51
Gibbs Free Energy of Reactions

Standard Cell Potential (E°)

The standard cell potential (E°) is the measure of the voltage produced by an electrochemical cell under standard conditions (1 M concentration, 1 atm pressure, and 25 °C). It is determined by the difference in reduction potentials of the cathode and anode. A higher E° value indicates a greater tendency for the cell reaction to occur spontaneously.
추천 영상:
가이드 코스
01:27
Standard Cell Potential

Equilibrium Constant (K)

The equilibrium constant (K) is a dimensionless value that expresses the ratio of the concentrations of products to reactants at equilibrium for a given reaction. It can be related to Gibbs Free Energy by the equation ∆G° = -RT ln(K), where R is the universal gas constant and T is the temperature in Kelvin. A larger K value indicates a reaction that favors product formation at equilibrium.
추천 영상:
가이드 코스
01:14
Equilibrium Constant K
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