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NERNST EQUATION Chapter 20
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What causes the electrical potential of an electrochemical cell?
The electrical potential of a voltaic cell is a measure of the cell’s ability to produce an electric current. Electrical potential is usually measured in volts (V). Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
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Electrical Potential The standard cell potential (E0cell) is the measured cell potential when the ion concentrations in the half-cells are 1M, any gases are at a pressure of 101 kPa, and the temperature is 25°C. E0cell = E0red – E0oxid Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
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E0cell = E0red – E0oxid 2.00 V = 0.34 V – (-1.66 V)
Sample Problem 21.1 Cu2+(aq) + 2e– →Cu(s) E0Cu2+ = 0.34 V Al3+(aq) + 3e– → Al(s) E0Al3+ = V E0cell = E0red – E0oxid 2.00 V = 0.34 V – (-1.66 V) Copyright © Pearson Education, Inc., or its affiliates. All Rights Reserved.
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What determines the measured
If Al and Cu are separated work is done by the electrons. Voltmeter is used to measure the energy. What determines the measured value?
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AP SHEET
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NERNST EQUATION E at Nonstandard Conditions
E = potential under nonstandard conditions n = no. of electrons exchanged ln = “natural log” If [P] and [R] = 1 mol/L, then E = E˚
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NERNST EQUATION E at Nonstandard Conditions
If [R](bottom) > [P], Q <1, ln is neg then E is ______________ than E˚ greater If [R](bottom) < [P], Q >1, ln is pos then E is ______________ than E˚ less
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X X Q = [ Zn2+] [Ag+]2 X
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Hw
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AP Question
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Is E˚ related to ∆G? YES!
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Eo and ∆Go Eo is related to ∆Go, the free energy change for the reaction. ∆Go = - n F Eo where F = Faraday constant = x 104 J/V•mol and n is the number of moles of electrons transferred Michael Faraday
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∆Go = - n F Eo For a product-favored reaction
Reactants ----> Products ∆Go < 0 and so Eo > 0 Eo is positive For a reactant-favored reaction Reactants <---- Products ∆Go > 0 and so Eo < 0 Eo is negative
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Eo = v ∆Go = - n F Eo
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HW
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Is E˚ related to K? YES!
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AP SHEET
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R= J/(mol K)
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