Electrode Polarization Concepts
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Questions and Answers

What happens to the potential when anodic currents are present?

  • The potential remains constant.
  • The potential shifts in a positive direction. (correct)
  • The potential fluctuates unpredictably.
  • The potential shifts in a negative direction.

What value does ∆E have in the case of cathodic currents?

  • Negative value (correct)
  • Positive value
  • Indeterminate
  • Zero

Which statement correctly describes the relationship between anodic currents and potential shift?

  • Anodic currents decrease the potential.
  • Anodic currents cause oscillations in potential.
  • Anodic currents have no impact on potential.
  • Anodic currents result in an increase of potential. (correct)

How does ∆E behave when anodic currents are applied?

<p>It takes on positive values. (B)</p> Signup and view all the answers

Which statement is false regarding anodic and cathodic currents?

<p>Cathodic currents produce positive values of ∆E. (A)</p> Signup and view all the answers

What is the relationship between the surface concentrations $c_{s,red}$ and $c_{s,ox}$ at the specified point in comparison to their limiting values?

<p>They are half the limiting values. (A)</p> Signup and view all the answers

Which equations help determine the surface concentrations $c_{s,red}$ and $c_{s,ox}$ given in the content?

<p>Equations 7.6 and 7.7 (B)</p> Signup and view all the answers

If the limiting values for the surface concentrations $c_{s,red}$ and $c_{s,ox}$ are both 10, what would the values be at the specified point?

<p>5 for both $c_{s,red}$ and $c_{s,ox}$ (D)</p> Signup and view all the answers

Which of the following statements is NOT accurate regarding the values of $c_{s,red}$ and $c_{s,ox}$?

<p>They are always equal to their limiting values. (C)</p> Signup and view all the answers

What is implied about the surface concentrations when the limiting values are mentioned?

<p>The surface concentrations have a fixed arithmetic relationship to the limiting values. (D)</p> Signup and view all the answers

What is the current called when the electrode operates under diffusion mode?

<p>Diffusion current (B)</p> Signup and view all the answers

Which mode occurs when both diffusion current and kinetic current are active?

<p>Mixed mode (B)</p> Signup and view all the answers

What happens to the current when the electrode operates solely under kinetic mode?

<p>It is referred to as reaction or kinetic current (D)</p> Signup and view all the answers

In which mode is diffusion current primarily active?

<p>Diffusion mode (A)</p> Signup and view all the answers

What is the relationship between diffusion current and kinetic current when both are present?

<p>Both currents combine to create mixed current (A)</p> Signup and view all the answers

What mathematical operation is used to determine the value of $i$ in the formula $i= \frac{il.red - il.ox}{2}$?

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

What term is given to the specific point characterized by the equation $i= \frac{il.red - il.ox}{2}$?

<p>Half-wave point (B)</p> Signup and view all the answers

In the equation, what does the variable $il.red$ represent?

<p>Load current (D)</p> Signup and view all the answers

If $il.ox$ is decreased, what is the likely effect on the value of $i$?

<p>Increase in $i$ (B)</p> Signup and view all the answers

Which of the following describes the relationship between $il.red$ and $il.ox$ in the equation?

<p>The result of their difference is halved (D)</p> Signup and view all the answers

What value of R is used in the equation for ΔEd?

<p>8.314 J·K⁻¹·mol⁻¹ (C)</p> Signup and view all the answers

In the equation for ΔEd, what does the variable 'n' represent?

<p>Number of electrons exchanged (C)</p> Signup and view all the answers

How is the natural logarithm of the ratio of current densities specified in the equation?

<p>ln(ired/il) (C)</p> Signup and view all the answers

What is the final calculated value of ΔEd based on the provided calculation?

<p>30 V (D)</p> Signup and view all the answers

What is the value corresponding to the temperature used in the equation?

<p>303.15 K (B)</p> Signup and view all the answers

What does the equation ∆𝐸𝑑 = (𝑅𝑇/n𝐹) ln(1 + 𝑖/𝑖𝑙,𝑜𝑥) describe in the context of a reducing agent?

<p>The relationship between polarization and current density (B)</p> Signup and view all the answers

In high anodic current density regions, what role does the oxidizing agent play according to the given content?

<p>It is the product of the anodic reaction (D)</p> Signup and view all the answers

What is a characteristic of the polarization curve in regions where $i ext{ } ext{≫} ext{ } i_{l,ox}$?

<p>It has an unusual shape (A)</p> Signup and view all the answers

Given the solid component with constant concentration in the reaction involving zinc, what implications does this have for 𝑐𝑠,𝑟𝑒𝑑?

<p>It is considered constant in the reaction (D)</p> Signup and view all the answers

How is the relationship between polarization and current density described in high anodic reaction regions?

<p>It is linear with respect to the logarithm of current density (B)</p> Signup and view all the answers

Flashcards

Anodic Current

An electric current flowing towards the anode (positive electrode) of an electrochemical cell.

Cathodic Current

An electric current flowing towards the cathode (negative electrode) of an electrochemical cell.

Potential Shift (Anodic)

When anodic current flows, the potential of the electrode shifts in a positive direction.

Potential Shift (Cathodic)

When cathodic current flows, the potential of the electrode shifts in a negative direction.

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∆E (Electrochemical Potential)

The difference in electrical potential between the two electrodes of an electrochemical cell; it can be positive for anodic currents and negative for cathodic currents.

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Diffusion Mode

The electrode operates under diffusion mode when the current is limited by the rate at which molecules diffuse to the electrode surface.

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Diffusion Current (𝑖𝑑)

The current flowing through an electrode operating under diffusion mode.

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Kinetic Mode

The electrode operates under kinetic mode when the current is limited by the rate of the chemical reaction occurring at the electrode surface.

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Kinetic Current (𝑖𝑘)

The current flowing through an electrode operating under kinetic mode.

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Mixed Mode

The electrode operates under mixed mode when both diffusion and kinetic polarization contribute to the overall current. This occurs when the limitations of both diffusion and reaction rates influence the current.

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Half-wave point

A specific point on a graph where the value of a variable is half of its maximum (peak) value.

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il,red

The current (i) flowing through the circuit when the diode is forward biased (red).

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il,ox

The current (i) flowing through the circuit when the diode is reverse biased (off), and therefore oxidized.

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Equation for Half-wave Point

The formula used to calculate the half-wave point, where il,red represents the current when the diode is forward biased and il,ok represents the current when the diode is reverse biased.

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7.14

The approximate numerical value representing the half-wave point in this specific example.

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Surface Concentration

The concentration of a substance at the surface of a material.

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𝑐𝑠,𝑟𝑒𝑑

The surface concentration of the reduced form of a chemical species.

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𝑐𝑠,𝑜𝑥

The surface concentration of the oxidized form of a chemical species.

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Limiting Value

The maximum possible concentration of a substance in a given system.

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Half the Limiting Value

The surface concentrations 𝑐𝑠,𝑟𝑒𝑑 and 𝑐𝑠,𝑜𝑥 in this specific case are equal to half the maximum possible concentration.

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Nernst Equation

A formula that calculates the cell potential of an electrochemical reaction under non-standard conditions.

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Cell Potential (∆E)

The difference in electrical potential between two half-cell compartments in an electrochemical cell. It represents the driving force for the electron flow and thus the reaction.

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Standard Cell Potential (E°)

The cell potential when all reactants and products are at standard conditions (1 atm pressure, 298 K, 1 M concentrations).

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Faraday Constant (F)

The amount of charge carried by one mole of electrons. It's a fundamental constant in electrochemistry.

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Non-Standard Conditions

Conditions deviating from standard conditions (1 atm, 298 K, 1 M) impacting the cell potential.

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Limiting Current (𝑖𝑙,𝑜𝑥)

The maximum current that can be achieved in an electrochemical reaction when the concentration of the oxidizing agent at the electrode surface becomes zero.

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Polarization Curve

A graph that plots the potential difference (E) between an electrode and a reference electrode against the current density (i) passing through the electrode.

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Overpotential (∆𝐸𝑑)

The difference between the thermodynamic potential (equilibrium potential) and the actual measured potential at a given current density during an electrochemical reaction.

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Nernst Equation (for Overpotential)

An equation used to calculate the overpotential (∆𝐸𝑑) at a given current density (i) in terms of limiting current (𝑖𝑙,𝑜𝑥) and other parameters.

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Linear Relation between Polarization and Logarithm of Current Density

Under specific conditions, the relationship between overpotential (∆𝐸𝑑) and the logarithm of the current density (ln(i)) becomes linear.

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Study Notes

Electrode Polarization

  • Electrode polarization has three meanings:

    • The phenomenon of change in electrode potential under current flow.
    • An operation performed by an experimenter who aims at obtaining a potential change by passing a current of specific strength and direction.
    • The quantitative measure (ΔE) of the electrode potential shift (E) relative to its equilibrium value (E°) under current flow, calculated as ΔE = Ei - Eo.
    • Ei is the potential under current, Eo is the potential under zero current.
  • Equation 7.1 provides polarization values at equilibrium potential and open-circuit potential.

  • Anodic currents cause a positive shift (ΔE positive), while cathodic currents cause a negative shift (ΔE negative).

  • In high polarization cases, the absolute value of polarization (ΔE) is implied for cathodes.

  • Polarization at one electrode is independent of the other electrode and the processes occurring there.

Overall and Partial Reaction Currents

  • Net current (i), anodic current density (ia), cathodic current density (ic), and exchange current density (i0) are defined.
  • Increased anodic current density (ia) typically leads to decreased cathodic current density (ic) and a more positive potential.
  • Conversely, decreased anodic current density (ia) typically leads to increased cathodic current density (ic) and a more negative potential.
  • Net current density is the difference between partial current densities (i = ia - ic).
  • When anodic polarization is reached, cathodic partial current density becomes very low (i ≈ ic).
  • Similarly, when cathodic polarization is reached, anodic partial current density becomes very low (i ≈ ia).
  • The total potential range can be divided into three regions: low polarization (comparable reaction rates), high anodic polarization (reverse reactions negligible), and high cathodic polarization (reverse reactions negligible).

Anodic and Cathodic Polarization

  • Anodic polarization is positive, while cathodic polarization is negative.
  • Current-potential curves are often monotonous and have a positive slope, though this isn't a universal rule.
  • No necessary correlation exists between polarization and polarity.
  • During electrolysis, the anode's potential and polarization are positive when current flows, exceeding its potential without current.
  • The cathode's potential and polarization are negative (in electrolysis mode).

Various Types of Polarization (Overpotential)

  • Diffusional polarization (ΔEα): influenced by the balance between electrode reaction rates and the supply/removal of substances through diffusion processes. Polarization change in equilibrium under concentration change is called concentration polarization.
  • Activation polarization (overvoltage): occurs when concentration changes affect operation, but not when activation polarization is present. Polarization occurs when diffusion mode is present.
  • Mixed mode: occurs when both diffusional and activation polarization mechanisms operate simultaneously. Diffusion and kinetic current modes, under mixed mode.

General Kinetic and Polarization Equations

  • At high polarization, kinetic equations for partial current densities (ia, ic) overlap with the equation for the net current density.
  • Equations for net cathodic or anodic partial current densities are given.

Measuring Polarization Under Various Cases

  • Solution with Excess Foreign Electrolyte: If the system involves pure concentration polarization (absence of activation polarization), electrode potential maintains equilibrium. Surface concentration may differ from equilibrium concentration.

    • E = E° + (RT/nF)ln(Cs,j)
    • ΔEα = E - E° + (RT/nF)ln (Cs,j/Cb,j)
  • The surface concentration of components is a result of the balance between the electrode reaction rates, and the rate of supply/removal via diffusion and migration, and is given by equations Cs,j = Cb,j (1 - i/iL),.

  • iLim is related to the limiting current diffusion current density for the reactant j (i = iLj (1 - i/iL)), and the components present in the system.

More Specific Considerations

  • Half-wave potential is independent of component concentration, but the polarization value at this point is affected by concentration changes.
  • Special cases include components with zero concentration and limiting current density(i) zero. In this scenario, the kinetic equation for potential should be used, not that for polarization.
  • A linear relationship between polarization and the logarithm of current density exists when a component with a constant concentration is the oxidizing or reducing agent.

Additional Notes

  • Figures and equations presented in the text are crucial for a complete understanding of the subject.
  • The variables described here are important for understanding the concepts of electrochemistry presented in the text.

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Description

This quiz explores the concept of electrode polarization, detailing its definitions, how to measure potential changes, and the effects of anodic and cathodic currents. Understand the qualitative and quantitative aspects of polarization under current flow and their implications in electrochemical processes.

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