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Revision: Class 11 >> Redox Reactions and Electrochemistry NEET (UG) Redox Reactions and Electrochemistry

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Definitions [11]

Definition: Redox Reactions

Any reaction that involves both oxidation and reduction occurring simultaneously is called an oxidation-reduction reaction or simply a redox reaction.

or

The chemical reaction in which both oxidation and reduction occur simultaneously is called a redox reaction.

Definition: Reducing Agent

The species which gets itself oxidised and reduce another species is called reducing agent.

or

A substance which involves an increase in the oxidation number of one or more of its elements. A reducing agent helps reduce the other substance by being oxidised.

\[\begin{aligned} & \mathrm{ZnO}+\mathrm{C}\longrightarrow\mathrm{Zn}+\mathrm{CO} \\ & \mathrm{Reducing} \\ & \mathrm{agent} \end{aligned}\]

Definition: Oxidising Agent

The species which gets itself reduced and oxidise another species is called oxidising agent.

or

A substance which involves a decrease in the oxidation number of one or more of its elements. An oxidising agent helps oxidise the other substance by being reduced itself.

\[\begin{aligned} & \mathrm{S}+6\mathrm{HNO}_{3}\longrightarrow\mathrm{H}_{2}\mathrm{SO}_{4}+2\mathrm{H}_{2}\mathrm{O}+6\mathrm{NO}_{2} \\ & \mathrm{Oxidising} \\ & \mathrm{agent} \end{aligned}\]

Definition: Reduction

"Reduction" is defined as the removal of oxygen/ electronegative element from a substance or the addition of hydrogen/Electron/ electropositive element to a substance.

or

A process involving decrease in oxidation number by gain of electrons.

Definition: Oxidation

"Oxidation" is defined as the addition of oxygen/electronegative element to a substance or the removal of hydrogen/ Electron/ electropositive element from a substance.

or

A process involving an increase in oxidation number by the loss of electrons.

Definition: Electrochemistry

Electrochemistry is the branch of chemistry that deals with the production of electricity from the energy released during spontaneous reactions and the use of electrical energy to drive non-spontaneous reactions.

Definition: Oxidation Number

Oxidation number (also called oxidation state) is the charge that an atom of an element appears to have when present in a combined state with other atoms. It is a hypothetical charge assigned by assuming all bonds are ionic — atoms in real molecules like H₂O do not actually carry these charges.

Define the following term:

Kohlrausch’s Law.

It states that at infinite dilution, the molar conductance of an electrolyte is the sum of molar conductances of its ions with molar conductance of each ion multiplied with the number of ions present in the formula of the electrolyte.

Define the following term:

Fuel cell

Fuel cells are the galvanic cells in which the energy of combustion of fuels like hydrogen, methanol, etc., is directly converted into electrical energy.

Define anode

The electrode at which the oxidation occur is called anode.

Define cathode

The electrode at which the reduction occur is called cathode.

Theorems and Laws [2]

Law: Kohlrausch's Law

The limiting molar conductivity of an electrolyte (i.e., molar conductivity at infinite dilution) is the sum of the limiting ionic conductivities of the cation and the anion, each multiplied by the number of ions present in one formula unit of electrolyte.

\[\Lambda_{m}\operatorname{for}A_{x}B_{y}=x\mathrm{l}_{(A)}{}^{0y+}+yl_{(B)}{}^{0x-}\]

Where l°A  and l°B are the limiting ionic conductivities of the cation and anion.

Laws: Faraday's Laws of Electrolysis

Faraday's laws of electrolysis are quantitative laws that describe the effects of electrolysis. They are:

First Law: The mass of any substance deposited or liberated at any electrode is directly proportional to the quantity of electricity passed through the electrolyte.

W ∝ Q 

W = ZQ (Z = electrochemical equivalent)

W = ZIt

\[(Z=\frac{\text{Equivalent Weight}}{96500})\]

Second Law: When the same quantity of electricity is passed through solutions of different electrolytes connected in series, the weight of substances produced at the electrodes is directly proportional to their equivalent weights.

\[\frac{\text{Weight of }M_1\mathrm{~Deposited}}{\text{Weight of }M_2\mathrm{~Deposited}}=\frac{\text{Eq. wt. of }M_1}{\text{Eq. wt. of }M_2}\cdots\cdots\]

Key Points

Key Points: Redox Reactions

Redox Reactions:

  • A substance that oxidises another substance (and is itself reduced) is called an oxidising agent.
  • A substance that reduces another substance (and is itself oxidised) is called a reducing agent.

What is Oxidation and Reduction?

Perspective Oxidation Reduction
In terms of oxygen Gain of one or more O atoms Loss of one or more O atoms
In terms of hydrogen Loss of hydrogen Gain of hydrogen
In terms of electropositive element Loss of electropositive element Gain of electropositive element
In terms of electronegative element Gain of electronegative element Loss of electronegative element
In terms of electrons Loss of electrons Gain of electrons
In terms of oxidation number Increase in oxidation number Decrease in oxidation number

Redox in Terms of Electron Transfer:

A reaction in which electrons are lost by one substance and gained by another is called a redox reaction.

  • Oxidising agent = electron acceptor
  • Reducing agent = electron donor

Example:

\[\mathrm{Hg}_2^{2+}+\mathrm{Sn}^{2+}\to\mathrm{Hg}+\mathrm{Sn}^{4+}\]

(Hg₂²⁺ gains electrons → reduced; Sn²⁺ loses electrons → oxidised)

Key Points: Metallic Conductors and Electrolytic Conductors
Feature Metallic Conductors Electrolytic Conductors
Charge Carriers Free electrons Ions (cations and anions)
Medium Solid metals Molten state or aqueous solution
Conduction Mechanism Movement of electrons Movement of ions
Type of Ions No ions involved Positive (cations) and negative (anions)
Effect of Temperature Conductance decreases with an increase in temperature Conductance increases with an increase in temperature
Examples Copper, Aluminium NaCl solution, molten salts
Key Points: Conductance of Electrolytic Solutions

Electrical conductance and resistance:

\[\mathrm{K}=\mathrm{G}\frac{l}{A}\]

K = Conductivity

G = Conductance

\[\mathrm{G}=\mathrm{}\frac{1}{R}\]

R = Resistance

\[\mathrm{K}=\mathrm{}\frac{l}{RA}\]

Key Points: Oxidation Number

Rules for Assigning Oxidation Numbers:

Species Rule
Free elements Oxidation number = 0 (e.g., Na, O₂, O₃, Hg, S₈, P₄)
Monoatomic ions Oxidation number = charge on the ion (e.g., Mn²⁺ = +2, Cr³⁺ = +3)
Fluorine Always −1 in all compounds
Oxygen Usually −2; Exceptions: −1 in peroxides (H₂O₂), −1/2 in superoxides (KO₂), +2 in oxygen fluoride (OF₂)
Hydrogen Usually +1; Exception: −1 in metal hydrides (e.g., CaH₂, NaH)
Halogens (Cl, Br, I) Usually −1 in binary compounds; can be positive when bonded to a more electronegative element or oxygen
Neutral compound Sum of all oxidation numbers = 0
Polyatomic ion Sum of all oxidation numbers = charge on the ion
  • Oxidation number of N can be −3 (bonded to less electronegative atoms) or +3 (bonded to more electronegative atoms)
  • Oxidation number of halogens is always −1 in metal halides
  • In interhalogen compounds, the more electronegative halogen gets the oxidation number of −1
  • Oxidation number of metals in amalgams and carbonyls is zero (e.g., Fe in [Fe(CO)₅] = 0)
  • In complex ions, the algebraic sum of oxidation numbers of all atoms = net charge on the ion
  • Oxidation number can be positive, negative, zero, a whole number, or a fraction
  • Oxidation number greater than +6 or less than −4 is unusual — double-check for errors

Stock Notation

Variable oxidation states are indicated using Roman numerals in parentheses after the element symbol:

Formula Name Stock Notation
Cu₂O Cuprous oxide Copper (I) oxide
Fe₂O₃ Ferric oxide Iron (III) oxide
HgCl₂ Mercuric chloride Mercury (II) chloride
SnCl₂ Stannous chloride Tin (II) chloride
Key Points: Types of Redox Reactions
Type Core Idea General Form Key Feature Example
Combination Reaction Two or more reactants combine to form one product A + B → AB Single product formed C + O₂ → CO₂
Decomposition Reaction One compound breaks into simpler substances AB → A + B Reverse of combination 2NaH → 2Na + H₂
Displacement Reaction More reactive element displaces less reactive element X + YZ → XZ + Y Based on reactivity series Zn + CuSO₄ → ZnSO₄ + Cu
a) Metal Displacement Metal replaces another metal in compound M₁ + M₂X → M₁X + M₂ More reactive metal displaces less reactive Zn + CuSO₄ → ZnSO₄ + Cu
b) Non-metal Displacement Non-metal replaces another non-metal X₂ + 2Y⁻ → 2X⁻ + Y₂ Less common, includes H displacement 2Na + 2H₂O → 2NaOH + H₂
Disproportionation Reaction Same element is oxidized and reduced A → A⁺ + A⁻ One element, two oxidation states 2H₂O₂ → 2H₂O + O₂
Key Points: Balancing of Redox Reactions

Two methods are used to balance redox reactions:

Method 1: Oxidation Number Method

The change in oxidation number is used to balance electron gain and loss.

Steps (Acidic Medium):

  1. Write the skeleton equation; balance all atoms except O and H first
  2. Identify which atoms change oxidation number; calculate the net increase and decrease
  3. Multiply coefficients to make total increase in oxidation number = total decrease
  4. Balance O atoms by adding H₂O to the side with fewer O atoms
  5. Balance H atoms by adding H⁺ ions
  6. Check that all atoms and charges are balanced

Method 2: Ion Electron Method (Half-Reaction Method)

The reaction is split into two half-reactions (oxidation and reduction) which are balanced separately and then combined.

Steps:

  1. Write the redox reaction in ionic form
  2. Split into oxidation half-reaction and reduction half-reaction
  3. Balance atoms in each half-reaction (except O and H first)
  4. Balance O by adding H₂O; balance H by adding H⁺ (acidic) or OH⁻ (basic)
  5. Balance charge by adding electrons to the appropriate side
  6. Equalise electrons transferred — multiply one or both half-reactions by suitable factors so electrons cancel
  7. Add both half-reactions; cancel identical species on both sides
  8. Check that all atoms and charges are balanced

For Basic Medium (Ion Electron Method):
After balancing in acidic conditions:

  • Add OH⁻ ions to both sides equal to the number of H⁺ ions
  • H⁺ + OH⁻ → H₂O (combine)
  • Eliminate H₂O molecules appearing on both sides
  • Final check: all elements and charges must balance
Key Points: Balancing of Redox Reactions

Two methods are used to balance redox reactions:

Method 1: Oxidation Number Method

The change in oxidation number is used to balance electron gain and loss.

Steps (Acidic Medium):

  1. Write the skeleton equation; balance all atoms except O and H first
  2. Identify which atoms change oxidation number; calculate the net increase and decrease
  3. Multiply coefficients to make total increase in oxidation number = total decrease
  4. Balance O atoms by adding H₂O to the side with fewer O atoms
  5. Balance H atoms by adding H⁺ ions
  6. Check that all atoms and charges are balanced

Method 2: Ion Electron Method (Half-Reaction Method)

The reaction is split into two half-reactions (oxidation and reduction) which are balanced separately and then combined.

Steps:

  1. Write the redox reaction in ionic form
  2. Split into oxidation half-reaction and reduction half-reaction
  3. Balance atoms in each half-reaction (except O and H first)
  4. Balance O by adding H₂O; balance H by adding H⁺ (acidic) or OH⁻ (basic)
  5. Balance charge by adding electrons to the appropriate side
  6. Equalise electrons transferred — multiply one or both half-reactions by suitable factors so electrons cancel
  7. Add both half-reactions; cancel identical species on both sides
  8. Check that all atoms and charges are balanced

For Basic Medium (Ion Electron Method):
After balancing in acidic conditions:

  • Add OH⁻ ions to both sides equal to the number of H⁺ ions
  • H⁺ + OH⁻ → H₂O (combine)
  • Eliminate H₂O molecules appearing on both sides
  • Final check: all elements and charges must balance
Key Points: Electrochemical Cells
Type Electrolytic Cell Galvanic (Voltaic) Cell
Energy conversion Electrical → Chemical Chemical → Electrical
Nature of reaction Non-spontaneous Spontaneous
Anode Positive Negative
Cathode Negative Positive
Electron flow Cathode → Anode Anode → Cathode
Salt bridge Not required Required

Electrolysis of NaCl

1. Molten NaCl:

  • Oxidation: Cl⁻ → Cl₂ (gas)

  • Reduction: Na⁺ → Na (metal)

  • Products: Na (cathode), Cl₂ (anode)

2. Aqueous NaCl:

  • Oxidation: Cl⁻ → Cl₂

  • Reduction: H₂O → H₂ + OH⁻

  • Products: H₂ (cathode), Cl₂ (anode), NaOH formed

Key Points: Nernst Equation

The Nernst equation is used to calculate the electrode or cell potential under non-standard conditions.

\[E_{cell}=E_{cell}^\circ-\frac{RT}{nF}\ln Q\]

At 25°C, it becomes:

\[E_{cell}=E_{cell}^\circ-\frac{0.0591}{n}\log Q\]

Where E°cell is the standard cell potential, n is the number of electrons transferred, and Q is the reaction quotient.

The equation helps determine the direction and spontaneity of a reaction:

  • Ecell > 0 → spontaneous
  • Ecell = 0 → equilibrium (Q = K)

It also relates to Gibbs energy:

ΔG = −nFEcell

Thus, the Nernst equation is important for electrochemical calculations and equilibrium analysis.

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