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¯]。,

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Electrochemical Cells
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY