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Consider an electrochemical cell at room temperature, with two compart- ments of ionic solutions each containing KCl and NaCl with concentrations given in the table below. The two compartments are separated by a membrane that is permeable to Na+, Cl¯, and/or K+, but no other ion types. Two identical Ag/AgCl electrodes are inserted, one in each compartment. The GHK equation at room temperature is: ´PNa[Na+]。 + Pk[K+]。 + Pc[Cl¯]i` Vm = 60 mV × log10 PNa[Na+]; + Pk[K*]i + Pc[CI¯]。,

Consider an electrochemical cell at room temperature, with two compart- ments of ionic solutions each containing KCl and NaCl with concentrations given in the table below. The two compartments are separated by a membrane that is permeable to Na+, Cl¯, and/or K+, but no other ion types. Two identical Ag/AgCl electrodes are inserted, one in each compartment. The GHK equation at room temperature is: ´PNa[Na+]。 + Pk[K+]。 + Pc[Cl¯]i` Vm = 60 mV × log10 PNa[Na+]; + Pk[K*]i + Pc[CI¯]。,

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter17: Electrochemistry
Section: Chapter Questions
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Consider an electrochemical cell at room temperature, with two compart- ments of ionic solutions each containing KCl and NaCl with concentrations given in the table below. The two compartments are separated by a membrane that is permeable to Na+, Cl¯, and/or K+, but no other ion types. Two identical Ag/AgCl electrodes are inserted, one in each compartment. The GHK equation at room temperature is: Vm= 60 mV x log10 V₁ SOL. 1 V₂ SOL. 2 'PNa[Na+]。 + Pk[K+]。 + Pci[Cl¯]i` PNa[Na+]i + Pk[K+]i + Pc₁[Cl¯]o, KC1 NaCl SOL. 1 10 mmol/L 1 mmol/L SOL. 2 1 mmol/L 10 mmol/L Find the voltage V₂ - V₁ between the electrodes measured by an ideal voltmeter when the membrane is (i) only permeable to Cl-, (ii) equally and only permeable to Na+ and K+, and (iii) equally permeable to Na+, K+, and Cl-. Now consider that the Ag/AgCl electrodes each contain 1 mol of Ag uniformly coated with 1 mmol of AgCl. The cell contains 1 L each of the two solutions, and the membrane is permeable to Cl-. What is the maxi- mum amount of charge that can be passed through the cell from one electrode to the other? Explain. The value of the Faraday constant is approximately F = 96,500 C/mol.
Transcribed Image Text:Consider an electrochemical cell at room temperature, with two compart- ments of ionic solutions each containing KCl and NaCl with concentrations given in the table below. The two compartments are separated by a membrane that is permeable to Na+, Cl¯, and/or K+, but no other ion types. Two identical Ag/AgCl electrodes are inserted, one in each compartment. The GHK equation at room temperature is: Vm= 60 mV x log10 V₁ SOL. 1 V₂ SOL. 2 'PNa[Na+]。 + Pk[K+]。 + Pci[Cl¯]i` PNa[Na+]i + Pk[K+]i + Pc₁[Cl¯]o, KC1 NaCl SOL. 1 10 mmol/L 1 mmol/L SOL. 2 1 mmol/L 10 mmol/L Find the voltage V₂ - V₁ between the electrodes measured by an ideal voltmeter when the membrane is (i) only permeable to Cl-, (ii) equally and only permeable to Na+ and K+, and (iii) equally permeable to Na+, K+, and Cl-. Now consider that the Ag/AgCl electrodes each contain 1 mol of Ag uniformly coated with 1 mmol of AgCl. The cell contains 1 L each of the two solutions, and the membrane is permeable to Cl-. What is the maxi- mum amount of charge that can be passed through the cell from one electrode to the other? Explain. The value of the Faraday constant is approximately F = 96,500 C/mol.
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