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¯]。,
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae78743c-2e5d-4f29-afad-9b0649e30c33%2Ff8cb376c-bd3d-4f44-adff-74de6a9fc70a%2Fjhrnzf5_processed.png&w=3840&q=75)
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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