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Atkins' Physical Chemistry | 11th Edition | ISBN: 9780198769866 | Authors: Atkins, Peter; De Paula, Julio; Keeler, James ISBN: 9780198769866 2042

Solution for problem P19D.3 Chapter 19D

Atkins' Physical Chemistry | 11th Edition

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Atkins' Physical Chemistry | 11th Edition | ISBN: 9780198769866 | Authors: Atkins, Peter; De Paula, Julio; Keeler, James

Atkins' Physical Chemistry | 11th Edition

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Problem P19D.3

The rate of deposition of iron, v, on the surface of an iron electrode from an aqueous solution of \(\mathrm{Fe}^{2+}\) has been studied as a function of potential, \(E^{\prime}\) , relative to the standard hydrogen electrode, by J. Kanya (J. Electroanal. Chem. 84, 83 (1977)). The values in the table below are based on the data obtained with an electrode of surface area \(9.1 \mathrm{\ cm}^{2}\) in contact with a solution of concentration \(1.70 \mu \mathrm{\ mol} \mathrm{\ dm}^{-3}\) in \(\mathrm{Fe}^{2+}\) . (a) Assume that activities can be approximated by molar concentrations, and calculate the zero-current potential of the \(\mathrm{Fe}^{2+} / \mathrm{Fe}\) cathode and hence the overpotential at each value of the potential given in the table. (b) Calculate the cathodic current density, \(j_{c}\), from the rate of deposition of \(\mathrm{Fe}^{2+}\) for each value of \(E^{\prime}\) . (c) Analyse the data using a Tafel plot and hence determine the exchange-current density.

\(\begin{array}{lrrrr}v /\left(\mathrm{pmol} \mathrm{s}{ }^{-1}\right) & 1.47 & 2.18 & 3.11 & 7.26 \\-E^{\prime} / \mathrm{mV} & 702 & 727 & 752 & 812\end{array}\)

Text Transcription:

Fe^2+

E^prime

9.1 cm^2

1.70 mu mol dm^-3

Fe^2+ / Fe

Fe^2+

j_c

v/(pmol s^-1) & 1.47 & 2.18 & 3.11 & 7.2 over -E^prime/mV & 702 & 727 & 752 & 812

Step-by-Step Solution:
Step 1 of 3

First Week’s Notes (This should be mostly review from earlier chemistry class. I would advise looking at the textbook’s pictures and graphs with these.) 1. Orbitals: regions of space around the nucleus of an atom where an electron is likely to be a. Allow atoms to make covalent bonds b. Format: 1s , 2s , 2p , 3s , 3p , 4s , 3d , 4p , 5s , 4d , 5p 6 c. Superscripts indicate maximum number of electrons in that section, as well as the 10 number of orbitals it contains when divided by 2 (ex: 3d has 10 electrons and 5 orbitals) 2. Ionization energy: energy needed to remove one electron from an atom in gaseous state a. Groups 15, 16, 17 on the periodic table have high ionization energies, so instead of breaking them off to become stable, they gain electrons. b. Groups 1, 2, 3 have low ionization energies, so they lose their electrons to become stable c. Cation: positively charged ion d. Anion: negatively charged ion 3. Ionic compounds: metal + nonmetal (­ide) 4. When ions can form 2+ types of ions, it has variable charges a. Roman numerals i. Transition metals (except Ag, Zn, Cd) b. Ex: copper (II) chloride 5. Covalent Bonds: a. Shared electrons b. Atoms overlap c. Overlap density­size of element is important d. More energy when a

Step 2 of 3

Chapter 19D, Problem P19D.3 is Solved
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Textbook: Atkins' Physical Chemistry
Edition: 11
Author: Atkins, Peter; De Paula, Julio; Keeler, James
ISBN: 9780198769866

This textbook survival guide was created for the textbook: Atkins' Physical Chemistry, edition: 11. The answer to “?The rate of deposition of iron, v, on the surface of an iron electrode from an aqueous solution of \(\mathrm{Fe}^{2+}\) has been studied as a function of potential, \(E^{\prime}\) , relative to the standard hydrogen electrode, by J. Kanya (J. Electroanal. Chem. 84, 83 (1977)). The values in the table below are based on the data obtained with an electrode of surface area \(9.1 \mathrm{\ cm}^{2}\) in contact with a solution of concentration \(1.70 \mu \mathrm{\ mol} \mathrm{\ dm}^{-3}\) in \(\mathrm{Fe}^{2+}\) . (a) Assume that activities can be approximated by molar concentrations, and calculate the zero-current potential of the \(\mathrm{Fe}^{2+} / \mathrm{Fe}\) cathode and hence the overpotential at each value of the potential given in the table. (b) Calculate the cathodic current density, \(j_{c}\), from the rate of deposition of \(\mathrm{Fe}^{2+}\) for each value of \(E^{\prime}\) . (c) Analyse the data using a Tafel plot and hence determine the exchange-current density.\(\begin{array}{lrrrr}v /\left(\mathrm{pmol} \mathrm{s}{ }^{-1}\right) & 1.47 & 2.18 & 3.11 & 7.26 \\-E^{\prime} / \mathrm{mV} & 702 & 727 & 752 & 812\end{array}\)Text Transcription:Fe^2+E^prime9.1 cm^21.70 mu mol dm^-3Fe^2+ / FeFe^2+j_cv/(pmol s^-1) & 1.47 & 2.18 & 3.11 & 7.2 over -E^prime/mV & 702 & 727 & 752 & 812” is broken down into a number of easy to follow steps, and 199 words. Atkins' Physical Chemistry was written by Aimee Notetaker and is associated to the ISBN: 9780198769866. Since the solution to P19D.3 from 19D chapter was answered, more than 211 students have viewed the full step-by-step answer. The full step-by-step solution to problem: P19D.3 from chapter: 19D was answered by Aimee Notetaker, our top Chemistry solution expert on 04/25/22, 03:45PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 327 chapters, and 1120 solutions.

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