Electrochemistry: Fundamentals and Applications
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Questions and Answers

What causes the development of a potential difference across the barrier in a solution?

  • The equal mobility of H^+^ and Cl^−^ ions
  • The greater mobility of H^+^ ions compared to Cl^−^ ions (correct)
  • The concentration of Cl^−^ ions being higher than H^+^ ions
  • The negative charge of the H^+^ ions in the solution

What is the term for the steady state potential difference that exists when both H^+^ and Cl^−^ ions cross over at the same rate?

  • Osmotic potential
  • Standard Electrode Potential
  • Electrochemical potential
  • Liquid Junction Potential (correct)

What is the purpose of using a salt bridge filled with ions of similar mobilities in an electrochemical cell?

  • To improve the efficiency of the cell (correct)
  • To decrease the temperature of the system
  • To promote the oxidation of metals
  • To increase the concentration of H^+^ ions

Under what conditions does the Nernst Equation allow for calculations of electrochemical cell potential?

<p>At varying concentrations and gas pressures (C)</p> Signup and view all the answers

In the context of electrochemical cells, what happens to the electrical energy when overcoming the liquid junction potential?

<p>Some of it is wasted (B)</p> Signup and view all the answers

What occurs at the cathode in an electrochemical cell?

<p>Reduction of metal cations (A)</p> Signup and view all the answers

Which statement accurately describes the oxidation process in this electrochemical system?

<p>Zn is converted into Zn^2+. (B)</p> Signup and view all the answers

What is the role of the salt bridge in an electrochemical cell?

<p>To allow ions to flow and prevent charge build-up (D)</p> Signup and view all the answers

Which metal is undergoing reduction in the reaction involving Cu and Zn?

<p>Cu (C)</p> Signup and view all the answers

What happens to the equilibrium when an electron is added to the Cu half-cell?

<p>It shifts to the left (A)</p> Signup and view all the answers

What is the result when all Zn metal is oxidized in the electrochemical cell?

<p>The reaction will halt. (D)</p> Signup and view all the answers

How can the potential for non-standard half-cells be determined?

<p>Using the Nernst equation (C)</p> Signup and view all the answers

In an electrochemical cell, the amount of oxidation at the anode is equal to what?

<p>The amount of reduction at the cathode (D)</p> Signup and view all the answers

What describes the state of equilibrium at the metal-electrolyte interface?

<p>The rate of cations dissolving matches the rate of cations depositing. (A)</p> Signup and view all the answers

Which equation relates the potentials of an electrochemical cell to temperature and concentration?

<p>Nernst equation (B)</p> Signup and view all the answers

What does the charge on the metal side of the interface depend on?

<p>The tendency of the metal to form cations (D)</p> Signup and view all the answers

Which of the following describes the nature of metals at the metal-electrolyte interface?

<p>Metals consist of fixed cations and free-moving electrons. (B)</p> Signup and view all the answers

What occurs when two species in different phases are in equilibrium?

<p>The Gibbs energy of the species is equal in both phases (A)</p> Signup and view all the answers

What does the exchange current density indicate in electrochemical kinetics?

<p>The rate of electron transfer in an electrochemical reaction. (B)</p> Signup and view all the answers

What is the term for the Gibbs energy per mole of an uncharged species?

<p>Chemical Potential (D)</p> Signup and view all the answers

Which type of voltammetry involves the potential being changed linearly with time?

<p>Linear sweep voltammetry (C)</p> Signup and view all the answers

What additional factor contributes to the change in energy when a charged species moves across an interface?

<p>Electrochemical potential difference (C)</p> Signup and view all the answers

What leads to a build-up of positive charges on the metal during equilibrium?

<p>Cations escaping from the solution and depositing onto the metal (A)</p> Signup and view all the answers

What is one main function of Pourbaix diagrams in corrosion studies?

<p>To provide a visual representation of corrosion potentials. (C)</p> Signup and view all the answers

What characteristic of batteries reflects their ability to store energy over time?

<p>Capacity (C)</p> Signup and view all the answers

What is represented by the symbol μ in the context of chemical potential?

<p>Chemical potential in J mol^-1 (B)</p> Signup and view all the answers

Which statement about fuel cells is correct?

<p>Fuel cells require a source of hydrogen fuel for their reactions. (D)</p> Signup and view all the answers

Which of the following species would likely prefer to be in a metallic state?

<p>More noble metals like Au and Ag (B)</p> Signup and view all the answers

The equation ∆G = μsolution − μsolid describes which type of change?

<p>Chemical reaction energy change (C)</p> Signup and view all the answers

What happens to the Fermi Level when a more positive potential is applied to the electrode?

<p>It decreases, causing a shift towards oxidation. (D)</p> Signup and view all the answers

What does the exchange current density represent in an electrochemical system?

<p>The equal rates of oxidation and reduction at equilibrium. (A)</p> Signup and view all the answers

When the electrode potential is decreased from +0.77 V to +0.5 V, which reaction is favored?

<p>Reduction, leading to a decrease in Fe^3+ concentration. (A)</p> Signup and view all the answers

At equilibrium, what is the condition of net current density?

<p>It equals zero. (D)</p> Signup and view all the answers

What is the effect of making the electrode potential more negative?

<p>It adds energy to the electrons at the electrode. (B)</p> Signup and view all the answers

In the context of electron transfer, what is the significance of the Nernst Equation?

<p>It determines the equilibrium potential for given concentrations. (A)</p> Signup and view all the answers

What are the oxidation and reduction processes characterized by when considering electron movement?

<p>Electrons enter the surface for oxidation and leave for reduction. (C)</p> Signup and view all the answers

What is the effect of reaching equilibrium between the Fermi Level and the energy levels of ions in solution?

<p>No net change occurs in the system. (D)</p> Signup and view all the answers

What does it indicate when both E_cell is positive and ΔG is negative?

<p>The reaction is spontaneous as written. (C)</p> Signup and view all the answers

In the Nernst equation, what is the significance of concentrations being in mol dm^-3?

<p>It allows for the proper calculation of cell potential under non-standard conditions. (B)</p> Signup and view all the answers

When using the Nernst equation, which of the following assumptions is made about solids?

<p>They have an effective concentration of 1. (C)</p> Signup and view all the answers

What is the relationship between ΔS and E_cell when temperature changes?

<p>The sign of ΔS can sometimes be predicted from E_cell changes. (D)</p> Signup and view all the answers

In a cell composed of Cu|Cu^2+ and Ag^+|Ag, what happens to the copper ions during the reaction?

<p>They are reduced to copper metal. (B)</p> Signup and view all the answers

Which condition does not affect the effective concentration used in the Nernst equation?

<p>Solids such as metals. (D)</p> Signup and view all the answers

Which parameter can be estimated by measuring how E_cell changes over a short temperature range?

<p>ΔH and ΔS. (C)</p> Signup and view all the answers

What determines the spontaneity of a reaction based on E_cell and ΔG?

<p>Spontaneity is indicated by a positive E_cell and a negative ΔG. (A)</p> Signup and view all the answers

Flashcards

Electrochemical Half-Cell

A system consisting of a metal in contact with a solution containing its ions, where a dynamic equilibrium is reached between metal dissolution and deposition.

Electrochemical Equilibrium

The state where the rate of metal cations moving into solution equals the rate of cations depositing back onto the metal. This results in a constant concentration of metal ions in the solution and a stable potential.

Electrochemical Potential

The difference in electrical potential between a metal electrode and its solution, reflecting the tendency of the metal to donate or accept electrons. It's a measure of the potential energy associated with an electrochemical reaction.

Metal-Electrolyte Interface

The boundary between a metal electrode and the electrolyte solution, where electrical charge transfer occurs.

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What happens when a metal is placed in a solution containing its ions?

Two processes occur: 1. The metal can initially dissolve into the solution as ions. 2. Ions from the solution can deposit onto the metal surface. These processes reach a dynamic equilibrium.

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What is the significance of electrochemical equilibrium?

Electrochemical equilibrium ensures a stable system where the rate of metal dissolution equals the rate of deposition, resulting in a constant concentration of metal ions and a stable potential.

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Interfacial Potential Difference

The difference in electrical potential between the metal surface and the solution it is in contact with. It arises from the charge separation at the interface, where the metal may have a net positive or negative charge.

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Chemical Potential

The Gibbs energy per mole of an uncharged species. It represents the tendency of a substance to move from one phase to another.

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Equilibrium Conditions

A state where the electrochemical potential of a species is the same in both the metal and solution phases. No net movement of charge occurs at equilibrium.

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Noble Metals

Metals that have a lower chemical potential as cations in solution than as metals. They are less reactive and tend to remain as metals.

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Charge Build-up

When cations in solution move to the metal surface, a net positive charge accumulates on the metal. This occurs when the chemical potential of cations is higher in solution.

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Gibbs Energy and Equilibrium

Spontaneous processes occur when they lead to a reduction in the Gibbs energy of the system. Equilibrium is reached when the Gibbs energy of the metal species is the same in both phases.

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Faraday Constant

A fundamental constant in electrochemistry, representing the charge carried by one mole of electrons. It is approximately 96,485 Coulombs per mole.

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Electrochemical Cell

A system composed of two half-cells connected to allow for the transfer of electrons and ions, resulting in a chemical reaction that produces electrical energy.

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Reduction Reaction

A chemical reaction where a substance gains electrons, decreasing its oxidation state.

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Oxidation Reaction

A chemical reaction where a substance loses electrons, increasing its oxidation state.

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Cathode

The electrode in an electrochemical cell where reduction occurs, receiving electrons from the external circuit.

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Anode

The electrode in an electrochemical cell where oxidation occurs, releasing electrons into the external circuit.

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Half-Cell

A component of an electrochemical cell consisting of an electrode and its surrounding electrolyte, where either oxidation or reduction occurs.

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Salt Bridge

A component of an electrochemical cell connecting the two half-cells, allowing ions to flow between solutions and maintain electrical neutrality.

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Nernst Equation

A mathematical equation used to calculate the cell potential under non-standard conditions (e.g., different concentrations of reactants).

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Liquid Junction Potential

A potential difference that arises when two solutions of different concentrations or compositions come into contact, due to unequal rates of ion migration across the interface.

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How does a Salt Bridge minimize Liquid Junction Potential?

Salt bridges often use solutions with ions of similar size and mobility, such as KCl. Because these ions move at roughly the same rate, they minimize the charge imbalance and reduce the liquid junction potential.

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Why is it more intuitive to apply the Nernst Equation to individual half-cells?

Applying the Nernst equation to each individual half-cell allows for a better understanding of how the potential changes for each reaction separately. This approach simplifies calculations and reduces errors.

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Standard Conditions

Refers to the specific set of conditions used to define a standard cell potential (E°cell). These conditions include 298 K (25°C), 1 atm pressure, and 1 M concentration for all solutions.

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Spontaneous Reaction

A reaction that occurs naturally and releases free energy (ΔG < 0). In electrochemistry, this corresponds to a positive cell potential (Ecell > 0).

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Non-spontaneous Reaction

A reaction that requires an input of energy to occur, meaning it absorbs free energy (ΔG > 0) and has a negative cell potential (Ecell < 0).

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Cell Potential (Ecell)

The potential difference between two half-cells in an electrochemical cell. It represents the driving force of the reaction.

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Gibbs Free Energy (ΔG)

A thermodynamic parameter that indicates the spontaneity of a reaction. A negative ΔG indicates a spontaneous reaction, while a positive ΔG indicates a non-spontaneous reaction.

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Standard Cell Potential (E°cell)

The cell potential measured under standard conditions (298 K, 1 atm, 1 M concentrations). It's a useful reference point for comparing different electrochemical reactions.

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Equilibrium Potential

The potential at which the rates of oxidation and reduction are equal, resulting in no net current flow.

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Exchange Current Density (io)

The magnitude of the current density for either oxidation or reduction at equilibrium. These are equal but opposite in sign.

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Overpotential (η)

The difference between the applied potential and the equilibrium potential.

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Effect of a More Positive Potential

Applying a more positive potential favors the oxidation reaction, as electrons move from the solution onto the electrode surface, increasing the concentration of the oxidized species.

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Effect of a More Negative Potential

Applying a more negative potential favors the reduction reaction, as electrons are pushed onto the electrode surface from the metal, decreasing the concentration of the oxidized species.

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Fermi Level

The highest energy level occupied by electrons in a metal at a given temperature.

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Electron Transfer Processes

Chemical reactions that involve the transfer of electrons between a metal electrode and species in solution.

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Study Notes

Electrochemistry: Fundamentals and Applications

  • The metal-electrolyte interface. Electrochemical equilibrium and electrochemical potential.
  • Electrochemical half-cells and cells. Types of electrodes, electrode and cell potentials. Nernst Equation. Liquid junction potential. Thermodynamic aspects of electrochemistry.
  • Electrode kinetics and overpotential, the Butler-Volmer equation.
  • Tafel equation. Exchange current density and mass transfer.
  • Linear sweep and cyclic voltammetry.
  • Corrosion and Pourbaix diagrams. Applications of Pourbaix diagrams. Evaluation of the Gibbs energy change in the corrosion reaction. Corrosion prevention and control.
  • Batteries: battery characteristics; voltage, current, capacity. Storage density and cycle life. Examples: lead-acid, Ni-Cd, Ni-MH, and Li-ion batteries.
  • Introduction to Fuel Cells: reactions and cell design. Source of H₂ fuel. Applications and future prospects.
  • Assessment details: Online class test worth 10% of the module mark. One question in the December exam worth 15% of the module mark.

Equilibrium Electrochemistry

  • Metals consist of fixed cations in a lattice with free electrons that can move through the lattice.
  • Solutions contain ions that move through the solution, carrying positive and negative charges. Cations (positive ions) move to the cathode during electrolysis; anions (negative ions) move to the anode.
  • When a metal and a solution of its ions are in contact, two processes can occur:
  • The metal can initially dissolve, releasing cations into solution
  • Initial deposition of metal ions onto the metal occurs, depositing cations onto the metal surface, forming a net positive charge on the metal, and a net negative charge on the solution side of the interface.
  • Equilibrium will be quickly reached when the rate of metal cations moving into solution is the same as the rate of cations depositing back onto the metal.
  • The charge on the metal side of the interface depends on the metal.
  • At equilibrium, a stable interfacial potential difference (ΔΦ) will exist across the metal/solution interface.

Chemical Potential

  • The Gibbs energy per mole of an uncharged species is called its chemical potential.
  • If two species in different phases, such as a metal and ions in solution, are in equilibrium with each other, if a species moves from the solid to the solution, there will be a change in Gibbs energy. This ΔG describes the electrochemical process, accounting for charge transfer.

Electrochemical Potential

  • If a charged species moves across an interface where there is an electrical potential difference, this will additionally contribute to the change in energy.
  • The electrochemical potential is defined to include all these effects
  • chemical potential of the species, μ
  • Galvani potential of species, φ
  • charge of the species, n
  • Faraday constant, F

Cell Notation

  • The vertical line represents a phase boundary. Solid/liquid/liquid/gas.
  • Reduction reaction is always written on the right.
  • ' || ' denotes the salt bridge. Eliminates liquid junction potential.
  • Metal electrodes are always the outermost components in the notation.
  • Examples: Pt| Fe²⁺/Fe³⁺, AgCl/Ag, etc.
  • Electrodes can share the same electrolyte. Example: H₂ → 2H⁺ + 2e⁻ and AgCl(s) + e⁻ → Ag + Cl⁻.

Liquid Junction Potential

  • If two solutions of different concentrations are separated by a porous barrier, H⁺ ions will cross from higher concentration to lower, at a faster rate than Cl⁻ ions, leading to a potential difference across the barrier, also called Liquid Junction Potential.
  • The steady state potential difference is eliminated by using a salt bridge.
  • A salt bridge containing ions of similar mobility (e.g., KCl, KNO3) is used to balance charges.

Entropy and Enthalpy

  • The thermodynamic parameters of an electrochemical cell can be calculated.
  • The electrical work done is -nFEcell , and Gibbs free energy, ΔG = H − TS.

Energy Level View of Electron Transfer

  • Electrons in solution have discrete atomic/molecular orbitals, in metals where many atoms bond, these orbitals overlap to produce an energy band.
  • When a metal and an ion in solution interact, electrons transfer between the two. Electrons in the metal originate from the top of the conduction band.
  • Equilibrium is reached when electron energy levels on both the metal and ion side match.

Fundamentals of Electron Transfer Reactions

  • Galvanic cells develop potential spontaneously. A half-cell is a terminal. Chemical potential drives electron flow. Electrochemical reaction rate is given as the current (I, A) or current density (i, A m⁻²).
  • Electrode area (A) in determining current density.
  • Non-spontaneous reactions are possible by applying a potential difference to an electrode, driving the reaction artificially. Examples are Faradaic Cells.

Tafel Equations

  • The Butler-Volmer equation describes the relationship between current density and overpotential. For large overpotentials, the exponential relationship is simpler & useful
  • For oxidation: positive overpotential, oxidation reaction dominates, anodic Tafel Equation.
  • For reduction: negative overpotential, reduction reaction dominates, cathodic Tafel Equation.

Overpotential

  • E is the equilibrium potential for the electron transfer process
  • Eapp is the applied potential
  • Overpotential is a measure of the difference between the applied potential and the equilibrium potential.

Mass Transfer

  • Eventually, the rate of the electrochemical reaction becomes limited by the rate of diffusion of reactants to the surface from the bulk solution.
  • The maximum or 'mass transport limiting' current can be estimated.

Example Calculations

  • Example problems involving calculation of current density, using given data and the Tafel equation will be presented for various conditions.

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Test your knowledge on electrochemistry with this comprehensive quiz covering essential topics like electrochemical cells, Nernst Equation, and corrosion. Explore the principles of battery technology and fuel cells, including their applications and future prospects. Perfect for students looking to deepen their understanding of electrochemical processes.

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