Showing posts with label Electrochemistry. Show all posts
Showing posts with label Electrochemistry. Show all posts

Wednesday, February 3, 2016

5. Electrochemistry - JEE Main - CBSE Class XII - Core Revision Points

Importance of  Core Revision Points: Core Revision Points are important because if you remember them strongly, many more points related to them will come out of your memory and help you to answer question and problems. Read them many times and make sure you remember them very strongly.


Sections in the Chapter


5.1 Electrochemical changes: electrolytic and galvanic cells
5.2 Electrolysis and laws of electrolysis
5.3 Metallic and electrolytic conductance
5.4 Electrolytic conduction
5.5 Factors for the variation of molar conductance
5.6 Kohlrausch’s law
5.7 Electrochemical cell or galvanic cell
5.8 Representation of an electrochemical cell
5.9 Electrode potential and E.M.F. of a galvanic cell
5.10 Standard Electrode Potential
5.11 Electrochemical series
5.12 Differences between Galvanic cell and electrolytic cell
5.13 Dependence of electrode and cell potentials on concentration: Nernst Equations
5.14 Equilibrium constant form Nernst Equation
5.15 Electrochemical cell and free energy
5.16 Some commercial cells
5.17 Electrode potential electrolysis and criteria for product formation
5.18 Corrosion
5.19 Commercial production of chemicals
5.20 Manufacture of some important metals an chemical compounds



Sections in the Chapter


5.1 Electrochemical changes: electrolytic and galvanic cells

5.2 Electrolysis and laws of electrolysis


Faraday's laws of electrolysis:
---------------------------------------
Quantitative Relationships in Electrolytic Cells

Determining the amount of electrical energy necessary for accumulating a given amount material from the electrolytic cell.


First law: It states that the amount of any substance that is liberated at an electrode during electrolysis is directly proportional to the quantity of electricity passed through the electrolyte.

W α Q (w = weight of substance deposited and Q is charge = ampere * time)

Second law: It states tht when the same quantity of electricity is passed through different electrolytes amount of different substances liberated or deposited at the different electrodes are directly proportional to the chemical equivalents9i.e., equivalent weight) of substances.

One faraday (F) is the amount of electrical energy required for flow of 1 mole of electrons.

To three significant digits, 1 faraday equals 96,500 coulombs(coul).

Current flow is measured in amperes (A)which is coulombs/seconds or coul/s,

5.3 Metallic and electrolytic conductance

Electrolytic conductance, specific, equivalent and molar conductance,



Electrolytic conductance


The flow of electric current through an electrolytic solution is known as electrolytic conduction.

Electrolytic conduction also follows Ohm's law.

V = I/R

R = ρ* l/a

ρ is called specific resistance.
The reciprocal of specific resistance is termed specific conductance. It may be defined as the conductance of a solution of 1 cm length and having 1 sq.cm as the area of cross section.

Specific conductance is the conductance of one centimetre cube of a solution of an electrolyte. It is denoted by k (kappa)

κ = 1/ρ

The equivalent conductivity of an electrolyte may be defined as the conductance of a volume of solution containing one equivalent mass of a dissolved substance when placed between two parallel electrodes which are at a unit distance apart, and large enough to contain between them the whole solution.

The molar conductivity of a solution gives the conducting power of ions produced by one molar mass of an electrolyte at any particular concentration.

It is denoted by Λm (Lambda).

Λm = κ/M

where M is the molar concentration





5.4 Electrolytic conduction
5.5 Factors for the variation of molar conductance

5.6 Kohlrausch’s law


Kohlrausch's Law on the independence of migrating ions: The molar conductivity of an electrolyte equals the sum of the molar conductivities of the cations and the anions; n = number of anions or cations.

Λ = v+Λ+ + vˉΛˉ

According to this law, the molar conductance of infinite dilution for a given salt can be expressed as the sum of the contributions from each ion of the electrolyte. If molar conductivity of the cation is denoted by Λˉ and anion by Λ+,and vˉ and v+ are number of cations and anions respectively, total molar conductance will be given by Λ.

Revision

1. Calculation of molar conductance at infinite dilution for weak electrolytes
2. Calculation of degree of dissociation of weak electrolytes

5.7 Electrochemical cell or galvanic cell




5.8 Representation of an electrochemical cell

5.9 Electrode potential and E.M.F. of a galvanic cell


The difference between the electrode potentials of the two electrodes constituting an electrochemical cell is known as electromotive force or cell potential of a cell.


5.10 Standard Electrode Potential

5.11 Electrochemical series


The electrochemical series is built up by arranging various redox equilibria in order of their standard electrode potentials (redox potentials). The most negative E° values are placed at the top of the electrochemical series, and the most positive at the bottom.



The electrochemical series

equilibrium E° (volts)
Li-3.03
K -2.92
Ca -2.87
Na -2.71
Mg -2.37
Al -1.66
Zn -0.76
Fe-0.44
Pb -0.13
H 0
Cu +0.34
Ag+0.80
Au +1.50

Remember that in terms of electrons:

OIL RIG

Oxidation is loss Reduction is gain


Reducing agents and oxidising agents

reducing agent reduces something else. That must mean that it gives electrons to it.

Magnesium is good at giving away electrons to form its ions. Magnesium must be a good reducing agent.

An oxidising agent oxidises something else. That must mean that it takes electrons from it.

Copper doesn't form its ions very readily, and its ions easily pick up electrons from somewhere to revert to metallic copper. Copper(II) ions must be good oxidising agents.

5.12 Differences between Galvanic cell and electrolytic cell


5.13 Dependence of electrode and cell potentials on concentration: Nernst Equations



Nernst Equation: The cell potential of a half cell (as well as that of a complete cell) depends upon the concentrations of involved ions, pressure of the gaseous species (if involved) and the temperature. The relation connecting them is given by the Nernst equation.

It is expressed as

E = E° - (RT/nF)ln Q°

Q° = Product of concentration (or pressure) of products each raised to the corresponding stochiometric number/Product of concentration (or pressure) of reactants each raised to the corresponding stochiometric number

n = number of electrons involved in the hall cell reaction

5.14 Equilibrium constant form Nernst Equation
5.15 Electrochemical cell and free energy
5.16 Some commercial cells
5.17 Electrode potential electrolysis and criteria for product formation
5.18 Corrosion
5.19 Commercial production of chemicals
5.20 Manufacture of some important metals an chemical compounds


ElectroChemistry - 35 Video Playlist

_____________________

_____________________
ExamFearVideos

Updated 3 Feb 2016,  22 May 2015



CBSE Class XII - JEE - Study Guide - 5. Electrochemistry

Sections in the Chapter


5.1 Electrochemical changes: electrolytic and galvanic cells
5.2 Electrolysis and laws of electrolysis
Practice Problems 5.1 to 5.6
5.3 Metallic and electrolytic conductance
5.4 Electrolytic conduction
P.P. 5.7 to 5.14
5.5 Factors for the variation of molar conductance
5.6 Kohlrausch’s law
P.P. 5.15 to 5.21
5.7 Electrochemical cell or galvanic cell
5.8 Representation of an electrochemical cell
5.9 Electrode potential and E.M.F. of a galvanic cell
5.10 Standard Electrode Potential
5.11 Electrochemical series
P.P. 5.22 to 5.29
5.12 Differences between Galvanic cell and electrolytic cell
5.13 Dependence of electrode and cell potentials on concentration: Nernst Equations
P.P. 5.30 to 5.35
5.14 Equilibrium constant form Nernst Equation
5.15 Electrochemical cell and free energy
P.P. 5.40 to 5.43
5.16 Some commercial cells
5.17 Electrode potential electrolysis and criteria for product formation
5.18 Corrosion
5.19 Commercial production of chemicals
5.20 Manufacture of some important metals an chemical compounds


Additional Numerical Problems for Practice 16

Conceptual Questions with Answers: 20
Revision Exercises
Very Short Answer questions 35
Short Answer Questions 65
Long Answer Questions 23

Competition File
Numerical Problems 25
Objective Questions:
Multiple choice:35
Fill in the blanks: 10
True or False: 10

Study Plan

Day 1

5.1 Electrochemical changes: electrolytic and galvanic cells
5.2 Electrolysis and laws of electrolysis

Day 2
Practice Problems 5.1 to 5.6
5.3 Metallic and electrolytic conductance
5.4 Electrolytic conduction

Day 3
P.P. 5.7 to 5.14
5.5 Factors for the variation of molar conductance
5.6 Kohlrausch’s law

Day 4
P.P. 5.15 to 5.21
5.7 Electrochemical cell or galvanic cell
5.8 Representation of an electrochemical cell
5.9 Electrode potential and E.M.F. of a galvanic cell

Day 5

5.10 Standard Electrode Potential
5.11 Electrochemical series
P.P. 5.22 to 5.29

Day 6

5.12 Differences between Galvanic cell and electrolytic cell
5.13 Dependence of electrode and cell potentials on concentration: Nernst Equations

Day 7

P.P. 5.30 to 5.35
5.14 Equilibrium constant form Nernst Equation
5.15 Electrochemical cell and free energy
P.P. 5.40 to 5.43

Day 8

5.16 Some commercial cells
5.17 Electrode potential electrolysis and criteria for product formation

Day 9

5.18 Corrosion
5.19 Commercial production of chemicals
5.20 Manufacture of some important metals an chemical compounds


Day 10

Additional Numerical Problems for Practice 16

Day 11

Conceptual Questions with Answers: 20

Day 12

Revision Exercises: Very Short Answer questions 1 to 35

Day 13
Revision Exercises: Short Answer Questions 1 to 30


Day 14

Revision Exercises: Short Answer Questions 31 to 65

Day 15
Competition File: Numerical Problems 1to 15


Day 16
Competition File: Numerical Problems 16 to 25

Day 17

Competition File: Multiple choice: 1 to 20

Day 18

Competition File: Multiple choice: 21 to 35

Day 19
Fill in the blanks: 10
True or False: 10

Day 20 Concept revision

Day 21
Formula revision

Days 22 to 30

Test paper problem solving


ElectroChemistry - 35 Video Playlist

__________________

__________________
ExamFearVideos



Updated 3 Feb 2016, 11 March 2009

Wednesday, February 18, 2015

Voltaic Pile



Voltaic Pile

The Voltaic Pile may have been the first successful multi-cell battery. This video presents the history of this important device and explains how they are constructed. If you attempt to construct your own voltaic pile make sure you have adult supervision, someone with knowledge of electrical systems and safety procedures. Search the Internet for "voltaic pile" for more information about these devices.


________________

________________
Science Online


http://electronics.howstuffworks.com/everyday-tech/battery4.htm

Sunday, December 28, 2008

Electrochemistry- Study Guide - IIT JEE

Electrochemical cells and cell reactions; Electrode potentials; Nernst equation and its relation to DG; Electrochemical series, emf of galvanic cells; Faraday's laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductance, Kohlrausch's law; Concentration cells.

Sunday, February 3, 2008

IIT JEE Revision - Ch.8 ELECTROCHEMISTRY - Core Points

IIT JEE Ch.8 ELECTROCHEMISTRY - Core Point for Revision

JEE Syllabus

Electrochemistry:

Electrochemical cells and cell reactions;
Electrode potentials;
Nernst equation and its relation to ΔG;
Electrochemical series,
emf of galvanic cells;

Electrolysis

Faraday's laws of electrolysis;
Electrolytic conductance, specific, equivalent and molar conductance,
Kohlrausch's law;
Concentration cells.
---------------

electrochemical cell

or Voltaic or Galvanic Cells

In this cell, a chemical reaction produces electrical energy.

In this cell, the electrons being transferred from the reducing agent to the oxidizing agent travel through a wire and thus provide an elctric current.

a electrochemical cell is represented as

Ө Zn|ZnSO-4║CuSO-4|Cu In this symbol additionally On zinc side as it is a cathode a - sign is placed in O (as shown) and on Cu side as it is anode a + sign is placed in O.

cell reactions;

Reaction at the electrodes are called half cell reactions as both the elctrodes are kept seperate from physical contact and ion movement only is permitted through salt bridge.

At zinc electrode Zn → Zn^2+ +2e¯ (oxidation)

At Cu electrode: Cu^2+ +2e¯ → Cu (reduction)

Electrode potentials

When an electrode in put in solution of ions, a charge is developed between the solution and the electrode. This charge is termed a electrode potential. The electrode potential cannot be measured individually and it is measured in reference to a standard hydrogen electrode.

Standard Hydrogen Electrode

An electrode in which pure dry hydrogen gas is bubbled at 1 atm and 298K about a platinized platinum plate through a solution containing H^+ ions ( for example - HCl solution)

The emf produced is taken as zero volts. All other potential are expressed with SHE potential as zero.


Nernst Equation: The cell potential of a half cell (as well as that of a complete cell) depends upon the concentrations of involved ions, pressure of the gaseous species (if involved) and the temperature. The relation connecting them is given by the Nernst equation.

It is expressed as

E = E° - (RT/nF)ln Q°

Q° = Product of concentration (or pressure) of products each raised to the corresponding stochiometric number/Product of concentration (or pressure) of reactants each raised to the corresponding stochiometric number

n = number of electrons involved in the hall cell reaction


Electrochemical series is the series in which various elements are arranged in the order of their reduction or oxidation potentials.

Emf of galvanic cells

E(Cell) = E(R) - E(L)

Electrolysis

In electrolytic cell, electric energy is used to cause a chemical reaction to take place.


An electrode in which pure dry hydrogen gas is bubbled at 1 atm and 298K about a platinized platinum plate through a solution containing H^+ ions ( for example - HCl solution)

The emf produced is taken as zero volts. All other potential are expressed with SHE potential as zero.


Nernst Equation: The cell potential of a half cell (as well as that of a complete cell) depends upon the concentrations of involved ions, pressure of the gaseous species (if involved) and the temperature. The relation connecting them is given by the Nernst equation.

It is expressed as

E = E° - (RT/nF)ln Q°

Q° = Product of concentration (or pressure) of products each raised to the corresponding stochiometric number/Product of concentration (or pressure) of reactants each raised to the corresponding stochiometric number

n = number of electrons involved in the hall cell reaction


Electrochemical series is the series in which various elements are arranged in the order of their reduction or oxidation potentials.

Emf of galvanic cells

E(Cell) = E(R) - E(L)

Electrolysis

In electrolytic cell, electric energy is used to cause a chemical reaction to take place.


An electrode in which pure dry hydrogen gas is bubbled at 1 atm and 298K about a platinized platinum plate through a solution containing H^+ ions ( for example - HCl solution)

The emf produced is taken as zero volts. All other potential are expressed with SHE potential as zero.


Nernst Equation: The cell potential of a half cell (as well as that of a complete cell) depends upon the concentrations of involved ions, pressure of the gaseous species (if involved) and the temperature. The relation connecting them is given by the Nernst equation.

It is expressed as

E = E° - (RT/nF)ln Q°

Q° = Product of concentration (or pressure) of products each raised to the corresponding stochiometric number/Product of concentration (or pressure) of reactants each raised to the corresponding stochiometric number

n = number of electrons involved in the hall cell reaction


Electrochemical series is the series in which various elements are arranged in the order of their reduction or oxidation potentials.

Emf of galvanic cells

E(Cell) = E(R) - E(L)

Electrolysis

In electrolytic cell, electric energy is used to cause a chemical reaction to take place.


Faraday's laws of electrolysis:
---------------------------------------
Quantitative Relationships in Electrolytic Cells

Determining the amount of electrical energy necessary for accumulating a given amount material from the electrolytic cell.


First law: It states that the amount of any substance that is liberated at an electrode during electrolysis is directly proportional to the quantity of electricity passed through the electrolyte.

W α Q (w = weight of substance deposited and Q is charge = ampere * time)

Second law: It states tht when the same quantity of electricity is passed through different electrolytes amount of different substances liberated or deposited at the different electrodes are directly proportional to the chemical equivalents9i.e., equivalent weight) of substances.

One faraday (F) is the amount of electrical energy required for flow of 1 mole of electrons.

To three significant digits, 1 faraday equals 96,500 coulombs(coul).

Current flow is measured in amperes (A)which is coulombs/seconds or coul/s,

Electrolytic conductance

The flow of electric current through an electrolytic solution is known as electrolytic conduction.

Electrolytic conduction also follows Ohm's law.

The equivalent conductivity of an electrolyte may be defined as the conductance of a volume of solution containing one equivalent mass of a dissolved substance when placed between two parallel electrodes which are at a unit distance apart, and large enough to contain between them the whole solution.

The molar conductivity of a solution gives the conducting power of ions produced by one molar mass of an electrolyte at any particular concentration.



Kohlrausch's Law on the independence of migrating ions: The molar conductivity of an electrolyte equals the sum of the molar conductivities of the cations and the anions; n = number of anions or cations.

Λ = v+Λ+ + vˉΛˉ

Concentration cells.

Concentration Cells are electrochemical cells that have two equivalent half-cells of the same material differing only in concentrations. One can calculate the potential developed by such cells using the Nernst Equation. A concentration cell produces a voltage in the process of reaching equilibrium, which will occur when the concentration in both cells are equal.

Concentration cell methods of chemical analysis compare a solution of known concentration with an unknown, determining the concentration of the unknown via the Nernst Equation.

Revision - Electrochemistry

Electrochemistry:

In eletrolytic conduction, ions carry electric charge. An increase in temperature increases electrolytic conductance because as the temperature is increased, the ions move faster.

In electrolytic cell, electric energy is used to cause a chemical reaction to take place.

For example, in a eletrolytic cell molten sodium chloride is the electrolyte. Two electrodes anode and cathode are placed into the molten sodium chloride and the an electri current passed through it.

The cation (Na+) moves toward the electrode called the cathode. At this electrode Na+ ions accept electrons to form sodium metal.

Na+ + e- → Na

This is reduction (gain of electrons)

At the other electrode, called the anode, the anion (Cl-) loses electrons to form chlorine gas.

2Clˉ → Cl-2 + 2eˉ

Therefore, oxidation (loss of electrons) takes place at the anode.

In the cell, electrons move from the anode through the external circuit to the cathode.

The reaction at anode and the reaction at cathode separately are called half-reactions.

Various types of half reactions are possible at anode (but all are oxidation only)

1. oxidation of an anion to an element
2Clˉ → Cl-2 + 2eˉ

2. Oxidation of an anion or cation in solution to an ion of higher oxidation state
Fe^2+ → Fe^3+ + e‾
3. Oxidation of a metal anode,
Cu(s) → Cu^2+ + 2e‾
4. Oxidation of H-2O to produce oxygen:
2H-2O → O-2 +4H^+ +4e‾

Similarly at Cathode various types of reactions occur (But all are reduction reactions)

1. Reduction of a cation to a metal

2. Reduction of an anion or cation in solution to an ion of lower oxidation state.

3. Reduction of a nonmetal to an anion.

4. Reduction of water to produce hydrogen.

Revision - Electrochemical Cells and Cell Reactions;

Electrochemical cells and cell reactions;

electrochemical cell

or Voltaic or Galvanic Cells

In this cell, a chemical reaction produces electrical energy.

In this cell, the electrons being transferred from the reducing agent to the oxidizing agent travel through a wire and thus provide an elctric current.

a electrochemical cell is represented as

Ө Zn|ZnSO-4║CuSO-4|Cu In this symbol additionally On zinc side as it is a cathode a - sign is placed in O (as shown) and on Cu side as it is anode a + sign is placed in O.

cell reactions;

Reaction at the electrodes are called half cell reactions as both the elctrodes are kept seperate from physical contact and ion movement only is permitted through salt bridge.

At zinc electrode Zn → Zn^2+ +2e¯ (oxidation)

At Cu electrode: Cu^2+ +2e¯ → Cu (reduction)

Remember OIL RIG Oxidation is loss of electrons, Reduction is gain of electrons.

Anode and Cathode

The electrode at which reduction takes place is called positive electrode (anode).
The electrode at which oxidation takes place is called the negative electrode (cathode)

AC ART COT - Anode redection takes place - Cathode oxidation takes place.

IIT JEE Revision - Electrode Potentials

Electrode potentials

When an electrode in put in solution of ions, a charge is developed between the solution and the electrode. This charge is termed a electrode potential. The electrode potential cannot be measured individually and it is measured in reference to a standard hydrogen electrode.

Standard Hydrogen Electrode

An electrode in which pure dry hydrogen gas is bubbled at 1 atm and 298K about a platinized platinum plate through a solution containing H^+ ions ( for example - HCl solution)

The emf produced is taken as zero volts. All other potential are expressed with SHE potential as zero.

IIT JEE Revision - Nernst equation

Nernst Equation: The cell potential of a half cell (as well as that of a complete cell) depends upon the concentrations of involved ions, pressure of the gaseous species (if involved) and the temperature. The relation connecting them is given by the Nernst equation.

It is expressed as

E = E° - (RT/nF)ln Q°

Q° = Product of concentration (or pressure) of products each raised to the corresponding stochiometric number/Product of concentration (or pressure) of reactants each raised to the corresponding stochiometric number

n = number of electrons involved in the hall cell reaction

Saturday, February 2, 2008

JEE Revision Electrochemical series,

The electrochemical series is built up by arranging various redox equilibria in order of their standard electrode potentials (redox potentials). The most negative E° values are placed at the top of the electrochemical series, and the most positive at the bottom.



The electrochemical series

equilibrium E° (volts)
Li-3.03
K -2.92
Ca -2.87
Na -2.71
Mg -2.37
Al -1.66
Zn -0.76
Fe-0.44
Pb -0.13
H 0
Cu +0.34
Ag+0.80
Au +1.50

Remember that in terms of electrons:

OIL RIG

Oxidation is loss Reduction is gain


Reducing agents and oxidising agents

A reducing agent reduces something else. That must mean that it gives electrons to it.

Magnesium is good at giving away electrons to form its ions. Magnesium must be a good reducing agent.

An oxidising agent oxidises something else. That must mean that it takes electrons from it.

Copper doesn't form its ions very readily, and its ions easily pick up electrons from somewhere to revert to metallic copper. Copper(II) ions must be good oxidising agents.

JEE Revision - Emf of Galvanic Cells

The difference between the electrode potentials of the two electrodes constituting an electrochemical cell is known as electromotive force or cell potential of a cell.

IIT JEE Revision Faraday's Laws of Electrolysis

Faraday's laws of electrolysis:
---------------------------------------
Quantitative Relationships in Electrolytic Cells

Determining the amount of electrical energy necessary for accumulating a given amount material from the electrolytic cell.


First law: It states that the amount of any substance that is liberated at an electrode during electrolysis is directly proportional to the quantity of electricity passed through the electrolyte.

W α Q (w = weight of substance deposited and Q is charge = ampere * time)

Second law: It states tht when the same quantity of electricity is passed through different electrolytes amount of different substances liberated or deposited at the different electrodes are directly proportional to the chemical equivalents9i.e., equivalent weight) of substances.

One faraday (F) is the amount of electrical energy required for flow of 1 mole of electrons.

To three significant digits, 1 faraday equals 96,500 coulombs(coul).

Current flow is measured in amperes (A)which is coulombs/seconds or coul/s,

IIT JEE Revision - Electrochemistry - Molar Conductance

Electrolytic conductance, specific, equivalent and molar conductance,


Electrolytic conductance

The flow of electric current through an electrolytic solution is known as electrolytic conduction.

Electrolytic conduction also follows Ohm's law.

V = I/R

R = ρ* l/a

ρ is called specific resistance.
The reciprocal of specific resistance is termed specific conductance. It may be defined as the conductance of a solution of 1 cm length and having 1 sq.cm as the area of cross section.

Specific conductance is the conductance of one centimetre cube of a solution of an electrolyte. It is denoted by k (kappa)

κ = 1/ρ

The equivalent conductivity of an electrolyte may be defined as the conductance of a volume of solution containing one equivalent mass of a dissolved substance when placed between two parallel electrodes which are at a unit distance apart, and large enough to contain between them the whole solution.

The molar conductivity of a solution gives the conducting power of ions produced by one molar mass of an electrolyte at any particular concentration.

It is denoted by Λm (Lambda).

Λm = κ/M

where M is the molar concentration

IIT JEE Revision Kohlrausch's Law

Kohlrausch's Law on the independence of migrating ions: The molar conductivity of an electrolyte equals the sum of the molar conductivities of the cations and the anions; n = number of anions or cations.

Λ = v+Λ+ + vˉΛˉ

According to this law, the molar conductance of infinite dilution for a given salt can be expressed as the sum of the contributions from each ion of the electrolyte. If molar conductivity of the cation is denoted by Λˉ and anion by Λ+,and vˉ and v+ are number of cations and anions respectively, total molar conductance will be given by Λ.

Revision

1. Calculation of molar conductance at infinite dilution for weak electrolytes
2. Calculation of degree of dissociation of weak electrolytes

IIt JEE Revision Concentration cells

Concentration cells.

Concentration Cells are electrochemical cells that have two equivalent half-cells of the same material differing only in concentrations. One can calculate the potential developed by such cells using the Nernst Equation. A concentration cell produces a voltage in the process of reaching equilibrium, which will occur when the concentration in both cells are equal.

Concentration cell methods of chemical analysis compare a solution of known concentration with an unknown, determining the concentration of the unknown via the Nernst Equation.

Saturday, January 19, 2008

IIT JEE Ch.8 ELECTROCHEMISTRY - Core Point for Revision

JEE Syllabus

Electrochemistry:

Electrochemical cells and cell reactions;
Electrode potentials;
Nernst equation and its relation to ΔG;
Electrochemical series,
emf of galvanic cells;

Electrolysis

Faraday's laws of electrolysis;
Electrolytic conductance, specific, equivalent and molar conductance,
Kohlrausch's law;
Concentration cells.
---------------

electrochemical cell

or Voltaic or Galvanic Cells

In this cell, a chemical reaction produces electrical energy.

In this cell, the electrons being transferred from the reducing agent to the oxidizing agent travel through a wire and thus provide an elctric current.

a electrochemical cell is represented as

Ө Zn|ZnSO-4║CuSO-4|Cu In this symbol additionally On zinc side as it is a cathode a - sign is placed in O (as shown) and on Cu side as it is anode a + sign is placed in O.

cell reactions;

Reaction at the electrodes are called half cell reactions as both the elctrodes are kept seperate from physical contact and ion movement only is permitted through salt bridge.

At zinc electrode Zn → Zn^2+ +2e¯ (oxidation)

At Cu electrode: Cu^2+ +2e¯ → Cu (reduction)

Electrode potentials

When an electrode in put in solution of ions, a charge is developed between the solution and the electrode. This charge is termed a electrode potential. The electrode potential cannot be measured individually and it is measured in reference to a standard hydrogen electrode.

Standard Hydrogen Electrode

An electrode in which pure dry hydrogen gas is bubbled at 1 atm and 298K about a platinized platinum plate through a solution containing H^+ ions ( for example - HCl solution)

The emf produced is taken as zero volts. All other potential are expressed with SHE potential as zero.


Nernst Equation: The cell potential of a half cell (as well as that of a complete cell) depends upon the concentrations of involved ions, pressure of the gaseous species (if involved) and the temperature. The relation connecting them is given by the Nernst equation.

It is expressed as

E = E° - (RT/nF)ln Q°

Q° = Product of concentration (or pressure) of products each raised to the corresponding stochiometric number/Product of concentration (or pressure) of reactants each raised to the corresponding stochiometric number

n = number of electrons involved in the hall cell reaction


Electrochemical series is the series in which various elements are arranged in the order of their reduction or oxidation potentials.

Emf of galvanic cells

E(Cell) = E(R) - E(L)

Electrolysis

In electrolytic cell, electric energy is used to cause a chemical reaction to take place.


Faraday's laws of electrolysis:
---------------------------------------
Quantitative Relationships in Electrolytic Cells

Determining the amount of electrical energy necessary for accumulating a given amount material from the electrolytic cell.


First law: It states that the amount of any substance that is liberated at an electrode during electrolysis is directly proportional to the quantity of electricity passed through the electrolyte.

W α Q (w = weight of substance deposited and Q is charge = ampere * time)

Second law: It states tht when the same quantity of electricity is passed through different electrolytes amount of different substances liberated or deposited at the different electrodes are directly proportional to the chemical equivalents9i.e., equivalent weight) of substances.

One faraday (F) is the amount of electrical energy required for flow of 1 mole of electrons.

To three significant digits, 1 faraday equals 96,500 coulombs(coul).

Current flow is measured in amperes (A)which is coulombs/seconds or coul/s,

Electrolytic conductance

The flow of electric current through an electrolytic solution is known as electrolytic conduction.

Electrolytic conduction also follows Ohm's law.

The equivalent conductivity of an electrolyte may be defined as the conductance of a volume of solution containing one equivalent mass of a dissolved substance when placed between two parallel electrodes which are at a unit distance apart, and large enough to contain between them the whole solution.

The molar conductivity of a solution gives the conducting power of ions produced by one molar mass of an electrolyte at any particular concentration.



Kohlrausch's Law on the independence of migrating ions: The molar conductivity of an electrolyte equals the sum of the molar conductivities of the cations and the anions; n = number of anions or cations.

Λ = v+Λ+ + vˉΛˉ

Concentration cells.

Concentration Cells are electrochemical cells that have two equivalent half-cells of the same material differing only in concentrations. One can calculate the potential developed by such cells using the Nernst Equation. A concentration cell produces a voltage in the process of reaching equilibrium, which will occur when the concentration in both cells are equal.

Concentration cell methods of chemical analysis compare a solution of known concentration with an unknown, determining the concentration of the unknown via the Nernst Equation.

Sunday, October 21, 2007

Study Guide Ch.8 ELECTROCHEMISTRY

JEE Syllabus

Electrochemistry:
Electrochemical cells and cell reactions;
Electrode potentials;
Nernst equation and its relation to DG;
Electrochemical series,
emf of galvanic cells;
Faraday's laws of electrolysis;
Electrolytic conductance, specific, equivalent and molar conductance,
Kohlrausch's law;
Concentration cells.
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Main topic in TMH Book Chapter

Section I: ELECTROLYSIS
FARADAY'S LAWS OF ELECTROLYSIS

Section II: ELECTROLYTIC CONDUCTION

Section III: GALVANIC CELLS
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Electrochemistry:

In eletrolytic conduction, ions carry electric charge. An increase in temperature increases electrolytic conductance because as the temperature is increased, the ions move faster.

In electrolytic cell, electric energy is used to cause a chemical reaction to take place.

For example, in a eletrolytic cell molten sodium chloride is the electrolyte. Two electrodes anode and cathode are placed into the molten sodium chloride and the an electri current passed through it.

The cation (Na+) moves toward the electrode called the cathode. At this electrode Na+ ions accept electrons to form sodium metal.

Na+ + e- → Na

This is reduction (gain of electrons)

At the other electrode, called the anode, the anion (Cl-) loses electrons to form chlorine gas.

2Clˉ → Cl-2 + 2eˉ

Therefore, oxidation (loss of electrons) takes place at the anode.

In the cell, electrons move from the anode through the external circuit to the cathode.

The reaction at anode and the reaction at cathode separately are called half-reactions.

Various types of half reactions are possible at anode (but all are oxidation only)

1. oxidation of an anion to an element
2Clˉ → Cl-2 + 2eˉ

2. Oxidation of an anion or cation in solution to an ion of higher oxidation state
Fe^2+ → Fe^3+ + e‾
3. Oxidation of a metal anode,
Cu(s) → Cu^2+ + 2e‾
4. Oxidation of H-2O to produce oxygen:
2H-2O → O-2 +4H^+ +4e‾

Similarly at Cathode various types of reactions occur (But all are reduction reactions)

1. Reduction of a cation to a metal

2. Reduction of an anion or cation in solution to an ion of lower oxidation state.

3. Reduction of a nonmetal to an anion.

4. Reduction of water to produce hydrogen.


Faraday's laws of electrolysis:
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Quantitative Relationships in Electrolytic Cells

Determining the amount of electrical energy necessary for accumulating a given amount material from the electrolytic cell.

Faraday's laws of electrolysis:

First law: It states that the amount of any substance that is liberated at an electrode during electrolysis is directly proportional to the quantity of electricity passed through the electrolyte.

W α Q (w = weight of substance deposited and Q is charge = ampere * time)

Second law: It states tht when the same quantity of electricity is passed through different electrolytes amount of different substances liberated or deposited at the different electrodes are directly proportional to the chemical equivalents9i.e., equivalent weight) of substances.

One faraday (F) is the amount of electrical energy required for flow of 1 mole of electrons.

To three significant digits, 1 faraday equals 96,500 coulombs(coul).

Current flow is measured in amperes (A)which is coulombs/seconds or coul/s,

The equivalent weight, or gram-equivalent weight, of a substance is the amss in grams that is equivalent ot 1 mole of electrons. We can think it as gram-weight of a substance that releases one mole of electrons or reacts with one mole of electrons.

To determine equitdvalent weight of a substance it is necessary to know how many moles of electrons are transferred per mole of substance. To calculate the equivalent weight of a substance the formula weight is divided by the number of moles of electrons transferred.

Aluminium always loses three electrons to form Al^3+. Its formula weight or atomic mass is 27.

Hence it equivalent weight is 27/3 = 9.0 g.

Problem:

How long would it take a current of 100 A to deposit 10 g of Fe from a solution of FeCl-2?

Solution:

The equation for Fe in FeCl-2 is Fe^2+ + 2e‾

Formula weight is 55.8 g

Hence equivalent weight = 55.8/2 = 27.9

Electrical energy required = 10.0 g Fe* (1 equiv Fe/27.9 g Fe)* (96,500 coul/1 equiv Fe)
= 34588 coul

As 100 A or 100 coul/sec is given as current

Time taken = 34588/100 = 345.8 s.

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Voltaic or Galvanic Cells

In this cell, a chemical reaction produces electrical energy.

In this cell, the electrons being transferred from the reducing agent to the oxidizing agent travel through a wire and thus provide an elctric current.

One example of this cell type, is zinc metal in a solution containing ZnSo-4 and Cu in solution of CuSo-4. Zinc electrode acts as the cathode and Cu electrode acts as the anode.

At zinc electrode Zn → Zn^2+ +2e¯ (oxidation)

At Cu electrode: Cu^2+ +2e¯ → Cu

The above cell is represented as

Zn|ZnSO-4║CuSO-4|Cu In this symbol additionally On zinc side as it is a cathode a - sign is placed in O and on Cu side as it is anode a + sign is placed in O.



In oxidation reaction, electrons are evolved and hence this reaction can be used to produce electricity from chemical reaction.

Emf produced by the cell depends upon (a) temperature and (b) concentration of CuS0-4 and ZnSO-4.

When ZnSO-4 and CuSO-4 are i molar(1 mole per litre), emf produced is 1.1 volt.

Half cells: Every cell is made of two parts called half cell or electrodes. a metal in contact with own ions is called a half cell.

The reaction taking place at electrode is called electrode reaction or half cell reaction. All electrode reactions are remembered for oxidation.

Standard Hydrogen Electrode

An electrode in which pure dry hydrogen gas is bubbled at 1 atm and 298K about a platinized platinum plate through a solution containing H^+ ions ( for example - HCl solution)

The emf produced is taken as zero volts. All other potential are expressed with SHE potential as zero.





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Nernst equation

In electrochemistry, the Nernst equation gives the electrode potential (E), relative to the standard electrode potential, (E^0), of the electrode couple or, equivalently, of the half cells of a battery.
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web sites
Electrolysis, batteries and fuel cells
http://www.docbrown.info/page01/ExIndChem/ExtraElectrochem.htm