Showing posts with label Class XII. Show all posts
Showing posts with label Class XII. Show all posts

Sunday, January 5, 2020

10. Co-ordination Compounds and Organometallics - JEE Main - 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.

See for a set of questions on this topic the post

http://iit-jee-chemistry-ps.blogspot.com/2007/10/iit-jee-chemistry-questions.html
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JEE Syllabus

Nomenclature of mononuclear coordination compounds, XII 10.1,2,3
Cis-trans and ionisation isomerisms, 10.4
Hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).10.7

The topics are covered in detail Jauhar's XII book. The section numbers are given beside the topic.
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Core Revision Points in Sections in the chapter Jauhar Book

10.1 Coordination compounds

Coordination compounds are a special class of compounds in which the centgral metal atom is surrounded by ions or molecules beyond their valency.

There are also referred to as coordination complexes or complexes.

Haemoglobin, Chlrophyll, and vitamin B-12 are coordinatio compounds of iron, magnesium and cobalt respectively.

The interesting thing of coordination compound is that these are formed from apparently saturated molecules capable of independent existence.

for example, when acqueous ammonia is addedt o green solution of nickel chloride, NiCl2, the colour changes to purple. The ni^2+ ions almost diappear from the solution. The solution on evaporation yields purple crystals corresponding to the formula [Ni(NH-3)-6]Cl-2. such a compound is called coordinatin compound. When this compound is now dissolved in water, there is hardly any evidence of Ni^2+ ions or NH-3 molecules. It ionizes to give a new species [Ni(NH-3)-6]^2+. the species in the square brackets does not ionise further. It remains as a single entity as an ion.

This is the unique feature of coordination compounds.

10.2 Important terms in Coordination compounds

A coordination entity is composed of a central atom or atoms to which are attached
other atoms or groups of atoms, which are termed ligands. A central atom occupies a
central position within the coordination entity. The ligands attached to a central
atom define a coordination polyhedron. Each ligand is assumed to be at the vertex of
an appropriate polyhedron.

The usual polyhedra are shown in Table 3.3 and they are also listed in Table 4.4. Note that these are adequate to describe most simple coordination compounds, but that real molecules do not always fall into these simple categories. In the presentation of a coordination polyhedron graphically, the lines
defining the polyhedron edges are not indicative of bonds.

However, many ligands do not behave as donors of a single electron pair. Some
ligands donate two or more electron pairs to the same central atom from different
donor atoms. Such ligands are said to be chelating ligands, and they form chelate
rings, closed by the central atom. The phenomenon is termed chelation.

The number of electron pairs donated by a single ligand to a specific central atom
is termed the denticity. Ligands that donate one pair are monodentate, those that
donate two are didentate, those that donate three are tridentate, and so on.

Sometimes ligands with two or more potential donor sites bond to two (or more)
different central atoms rather than to one, forming a bridge between central atoms. It
may not be necessary for the ligand in such a system to be like ethane-l ,2-diamine,
with two distinct potential donor atoms. A donor atom with two or more pairs of
non-bonding electrons in its valence shell can also donate them to different centralatoms. Such ligands, of whatever type, are called bridging ligands. They bond to two
or more central atoms simultaneously. The number of central atoms in a single
coordination entity is denoted by the nuclearity: mononuclear, dinuclear, trinuclear,
etc. Atoms that can bridge include 5, 0 and Cl.

The original concepts of metal—ligand bonding were essentially related to the
dative covalent bond; the development of organometallic chemistry has revealed a
further way in which ligands can supply more than one electron pair to a central
atom. This is exemplified by the classical cases of bis(benzene)chromium and
bis(cyclopentadienyl)iron, trivial name ferrocene. These molecules are characterised
by the bonding of a formally unsaturated system (in the organic chemistry sense, but
expanded to include aromatic systems) to a central atom, usually a metal atom.

10.3 IUPAC formulation and nomenclature of Coordination compounds

10.4 Isomerism in Coordination compounds

Ionisation isomers:
Molecular structural formula is same. But different isomers give different ions in solution.

one isomer [PtBr(NH3)3]NO2 -> gives NO2- anions in solution
another isomer [Pt(NH3)3(NO2)]Br -> gives Br- anions in solution

Notice that both anions are necessary to balance the charge of the complex, and that they differ in that one ion is directly attached to the central metal but the other is not.

Geometric Isomers or Cis-Trans isomers

Geometric isomers are two or more coordination compounds which contain the same number and types of atoms, and bonds (i.e., the connectivity between atoms is the same), but which have different spatial arrangements of the atoms.

Not all coordination compounds have geometric isomers.

For example, in the square planar molecule, Pt(NH3)2Cl2, the two ammonia ligands (or the two chloride ligands) can be adjacent to one another or opposite one another.

Note that these two structures contain the same number and kinds of atoms and bonds but are non-superimposable. The isomer in which like ligands are adjacent to one another is called the cis isomer. The isomer in which like ligands are opposite one another is called the trans isomer.

For the common structures which contain two or more different ligands, geometric isomers are possible only with square planar and octahedral structures (i.e., geometric isomers cannot exist for linear and tetrahedral structures).

cis-[Co(NH3)4Cl2]+
Note that the two chloride ligands are adjacent to one another in this octahedral complex ion. In aqueous solution, this complex ion has a violet color.

trans-[Co(NH3)4Cl2]+
Note that the two chloride ligands are opposite one another in this complex ion. In aqueous solution, this complex ion has a green color.




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Material about all isomers - In syllabus only ionic and cis-trans are specially mentioned

http://www.chem.purdue.edu/gchelp/cchem/whatis2.html

Coordination Isomers
Coordination isomers are two or more coordination compounds in which the composition within the coordination sphere (i.e., the metal atom plus the ligands that are bonded to it) is different (i.e., the connectivity between atoms is different).

Not all coordination compounds have coordination isomers.

Coordination isomers have different physical and chemical properties.

Example

[Cr(NH3)5(OSO3)]Br
Note that the sulfate group is bonded to the Cr atom (via an O atom) and is within the coordination sphere. Note also the octahedral structure. The bromide counterion is needed to maintain charge neutrality with the complex ion (i.e., [Cr(NH3)5(OSO3)]+) and is not shown in the structure.

[Cr(NH3)5Br]SO4
Note that the bromine atom is bonded to the Cr atom and is within the coordination sphere. Note also the octahedral structure. The sulfate counterion is not shown in the structure.


Linkage Isomers
Linkage isomers are two or more coordination compounds in which the donor atom of at least one of the ligands is different (i.e., the connectivity between atoms is different).

This type of isomerism can only exist when the compound contains a ligand that can bond to the metal atom in two (or more) different ways. Some ligands that can form linkage isomers are shown below.

Not all coordination compounds have linkage isomers.

Linkage isomers have different physical and chemical properties.

[Co(NH3)4(NO2)Cl]+
Note that the N atom of the nitrite group is bonded to the Co atom. The nitrite group is written as "NO2" in the molecular formula (rather than "ONO") with the N atom nearest to the Co symbol to indicate that the N atom (rather than an O atom) is the donor atom. Note also the octahedral structure.

[Co(NH3)4(ONO)Cl]+
Note that one of the O atoms of the nitrite group is bonded to the Co atom. The nitrite group is written as "ONO" in the molecular formula (rather than "NO2") with the O atom nearest to the Co symbol to indicate that the O atom is the donor atom. Note also the octahedral structure.

Geometric Isomers
Geometric isomers are two or more coordination compounds which contain the same number and types of atoms, and bonds (i.e., the connectivity between atoms is the same), but which have different spatial arrangements of the atoms.

Not all coordination compounds have geometric isomers.

For example, in the square planar molecule, Pt(NH3)2Cl2, the two ammonia ligands (or the two chloride ligands) can be adjacent to one another or opposite one another.

Note that these two structures contain the same number and kinds of atoms and bonds but are non-superimposable. The isomer in which like ligands are adjacent to one another is called the cis isomer. The isomer in which like ligands are opposite one another is called the trans isomer.

For the common structures which contain two or more different ligands, geometric isomers are possible only with square planar and octahedral structures (i.e., geometric isomers cannot exist for linear and tetrahedral structures).

cis-[Co(NH3)4Cl2]+
Note that the two chloride ligands are adjacent to one another in this octahedral complex ion. In aqueous solution, this complex ion has a violet color.

trans-[Co(NH3)4Cl2]+
Note that the two chloride ligands are opposite one another in this complex ion. In aqueous solution, this complex ion has a green color.

Optical Isomers
Optical isomers are two compounds which contain the same number and kinds of atoms, and bonds (i.e., the connectivity between atoms is the same), and different spatial arrangements of the atoms, but which have non-superimposable mirror images. Each non-superimposable mirror image structure is called an enantiomer. Molecules or ions that exist as optical isomers are called chiral.

Not all coordination compounds have optical isomers.

The Two Enantiomers of CHBrClF
Note that the molecule on the right is the reflection of the molecule on the left (through the mirror plane indicated by the black vertical line). These two structures are non-superimposable and are, therefore, different compounds.

Pure samples of enantiomers have identical physical properties (e.g., boiling point, density, freezing point). Chiral molecules and ions have different chemical properties only when they are in chiral environments.

Optical isomers get their name because the plane of plane-polarized light that is passed through a sample of a pure enantiomer is rotated. The plane is rotated in the opposite direction but with the same magnitude when plane-polarized light is passed through a pure sample containing the other enantiomer of a pair.



10.5 Bonding in Coordination compounds

10.6 Werner’s coordination theory
Werner theory explained the bonding in coordination complexes by postulating primary valency (oxidation state) and secondary valency (coordination number).

The number of ligands attached to the central metal atom or ion is called coordination number.

10.7 Valency bond theory for bonding in Coordination compounds
10.8 Crystal theory
10.9 Stability of Coordination compounds in solution
10.10 General methods of preparation of Coordination compounds
10.11 Applications of Coordination compounds

1. Estimation of hardness of water
2. In qualitative analysis
3. In electroplating
4. In water treatment
5. In dyeing
6. Biological importance
7. In metallurgical processes
8. In medicines
9. In catalysis

10.12 Organometallic compounds

10.13 Bonding in organometallic compounds
10.14 Synthesis of organometallic compounds




Sections in the chapter Jauhar Book

10.1 Coordination compounds
10.2 Important terms in Coordination compounds
Practice Problems: 10.1 to 10.5
10.3 IUPAC formulation and nomenclature of Coordination compounds
P.P. 10.6
10.4 Isomerism in Coordination compounds
P.P. 107 to 10.10
10.5 Bonding in Coordination compounds
10.6 Werner’s coordination theory
10.7 Valency bond theory for bonding in Coordination compounds
10.8 Crystal theory
10.9 Stability of Coordination compounds in solution
10.10 General methods of preparation of Coordination compounds
10.11 Applications of Coordination compounds
10.12 Organometallic compounds
10.13 Bonding in organometallic compounds
10.14 Synthesis of organometallic compounds

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01/22 M Learning
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Updated 6 January 2020,  31 Jan 2016, 23 May 2015

Friday, December 27, 2019

16. Polymers - JEE Main - 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 - Jauhar


16.1 Polymers
16.2 Classification of Polymers
16.3 General methods of Polymerisation
16.4 Mechanism of addition Polymerisation
16.5 Copolymers
16.6 Natural rubber
16.7 Condensation of Polymers
16.8 Molecular masses of Polymers
16.9 Biopolymers
16.10 Biodegradable Polymers
16.11 Some Commercially important Polymers



Sections in the chapter - Jauhar


16.1 Polymers
Difference Between a Metal and Polymer
16.2 Classification of Polymers

Polymers and Their Monomers
16.3 General methods of Polymerisation
16.4 Mechanism of addition Polymerisation
16.5 Copolymers
16.6 Natural rubber
16.7 Condensation of Polymers
16.8 Molecular masses of Polymers
16.9 Biopolymers
16.10 Biodegradable Polymers
16.11 Some Commercially important Polymers

Reversible Polymerization Reaction

14. Organic Compounds with functional Groups Containing Oxygen – II (Aldehydes, Ketones, Carboxylic Acids and their Derivatives) - JEE Main - 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.


Aldehydes contain carbonyl group C=O as functional group and the carbonyl carbon atom carries at least one H atom.

Ketones

In ketones, also carbonyl group C=O is the functional group. But the carbonyl carbon atom does not contain any H atoms, but it is attached to two alkyl or aryl groups.

Sections in the chapter

Part A: Aldehydes and Ketons

14A.1 Nomenclature of aldehydes and ketones
14.2 Isomerism in aldehydes and ketones
14.3 General methods of preparation of aldehydes and ketones
14.4 Physical properties of aldehydes and ketones
14.5 Chemical properties of aldehydes and ketones
P.P. 14A.13 to 14A.20
14.6 Commercially important carbonyl compounds
14.7 Distinction between properties of aldehydes and ketones
14.8 Distinction between some pairs (Chemical tests)



Carboxylic acids and their derivatives

14 B.1 Carboxylic acids and
14 B. 2 Nomenclature of Carboxylic acids
14 B. 3 Preparation of Carboxylic acids
P.P. 14 B.5 to 14B.8
14 B.4 Physical properties of Carboxylic acids
14 B.5 Chemical properties of Carboxylic acids
14 B.6 Some Commercially important Carboxylic acids
14 B.7 Distinction between alcohols, phenols and Carboxylic acids
14 B.8 Distinction between some pairs (Chemical tests)
P.P. 14B.9 to 14B.15

Functional derivatives of Carboxylic acids

14 B.9 Functional derivatives of Carboxylic acids
14 B. 10 Acyl halides
14 B. 11 Acid anhydrides
14 B. 12 Esters
14 B. 13 Acid Amides
14 B. 14 Some Commercially important compounds





Revision Points for Sections in the chapter

Aldehydes,  Ketons, Carboxylic acids and their derivatives

Part A: Aldehydes and Ketons

IIT JEE Revision -  Aldehydes and Ketones - Core Points

14A.1 Nomenclature of aldehydes and ketones
Aldehydes - Ketones - Introduction and Nomenclature

14.2 Isomerism in aldehydes and ketones
14.3 General methods of preparation of aldehydes and ketones
14.4 Physical properties of aldehydes and ketones
14.5 Chemical properties of aldehydes and ketones
14.6 Commercially important carbonyl compounds
14.7 Distinction between properties of aldehydes and ketones
14.8 Distinction between some pairs (Chemical tests)



Carboxylic acids and their derivatives

14 B.1 Carboxylic acids and
14 B. 2 Nomenclature of Carboxylic acids
14 B. 3 Preparation of Carboxylic acids
14 B.4 Physical properties of Carboxylic acids
14 B.5 Chemical properties of Carboxylic acids
14 B.6 Some Commercially important Carboxylic acids
14 B.7 Distinction between alcohols, phenols and Carboxylic acids
14 B.8 Distinction between some pairs (Chemical tests)


Functional derivatives of Carboxylic acids

14 B.9 Functional derivatives of Carboxylic acids
14 B. 10 Acyl halides
14 B. 11 Acid anhydrides
14 B. 12 Esters
14 B. 13 Acid Amides
14 B. 14 Some Commercially important compounds



NIOs Course material
http://www.nios.ac.in/media/documents/313courseE/L29.pdf


Updated on 30 December 2019
2 January 2016

13. Organic Compounds with functional Groups Containing Oxygen - I (Alcohols, Phenols and Ethers) - JEE Main - 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.

The hydroxy derivatives of aliphatic hydrocarbons are termed alcohols. They contain one or more hydroxyl (OH) groups.

Example:
Methyl Alcohol CH-3OH
Ehtyl alcohol C-2H-5OH also written as CH-3CH-2OH
Propyl alcohol C-3H-7OH also written as CH-3CH-2CH-2OH

Phenols are aromatic hydroxy compounds. In phenols, one or more hydroxyl group is directly attached to the aromatic (benzene) nucleus.

If OH group is not directly attached to be carbon atom in the benzene ring, but present in the molecule as a part of the alkyl side chain group, then the compound is not termed as phenol.It is called aromatic alcohol because it resembles aliphatic alcohols in its characteristics.

Sections in Chapters 13A and 13B

Part A: Alcohols and phenols
13A.1 Alcohols
13.2 Nomenclature of Alcohols
13.3 Isomerism in Alcohols
13.4 General methods of preparation of Alcohols
13.5 Industrial preparation of Alcohols
13.6 Physical properties of Alcohols
13.7 Chemical properties of Alcohols
13.8 Distinction between primary, secondary, and tertiary alcohols
13.9 Interconversions of alcohols


Phenols

13.10 Phenols
13.11 Nomenclature of Phenols
13.12 General methods of preparation of Phenols
13.13 Physical properties of Phenols
13.14 Chemical properties of Phenols
13.15 Distinction between alcohols and phenols
13.16 Some commercially important alcohols
13.17
13.18
13.19




Part B Ethers

13B.1 Nomenclature of Ethers
13.2 Isomerism in Ethers
13.3 General methods of preparation of Ethers
13.4 Physical properties of Ethers
13.5 Chemical properties of Ethers
13.6 Some commercially important compounds




Links to Core Revision Points in Sections in Chapters 13A and 13B


Part A: Alcohols and phenols

13A.1 Alcohols
13.2 Nomenclature of Alcohols
Alcohols - Introduction, Nomenclature
13.3 Isomerism in Alcohols

IIT JEE Revision - Ch. 25. Alcohols - Core Points

Practice problems 13A. 1 to 13A.5

13.4 General methods of preparation of Alcohols
13.5 Industrial preparation of Alcohols
Methods of Preparation of Alcohols

13.6 Physical properties of Alcohols
Alcohols - physical Properties

13.7 Chemical properties of Alcohols
Alcohols - Chemical Reactions
Alcohols oxidation
Alcohols Dehydration
Alcohols - Reaction with phosphorus halides
Alcohols -Reaction with active metals - acidic character
Alcohols - Reaction with Sodium
Alcohols Esterification

Alcohols - Reaction with ZnCl2/conc.-HCl - Lucas Test

13.8 Distinction between primary, secondary, and tertiary alcohols
13.9 Interconversions of alcohols
Conversion of alcohols into aldehydes and ketones




Phenols

IIT JEE Revision -  Phenols - Core Points

13.10 Phenols
13.11 Nomenclature of Phenols
Phenols - Introduction, Nomenclature

13.12 General methods of preparation of Phenols
Phenols - Preparation

13.13 Physical properties of Phenols
Phenols - Physical properties

13.14 Chemical properties of Phenols
Phenols - Chemical Properties
Nitration of Phenol
Sulphonation of Phenol
Acidity of Phenols
Kolbe reaction Phenols

13.15 Distinction between alcohols and phenols
13.16 Some commercially important alcohols
13.17
13.18
13.19




Part B Ethers

13B.1 Nomenclature of Ethers
P.P. 13B.1 to 13B.3
13.2 Isomerism in Ethers
13.3 General methods of preparation of Ethers
P.P. 13B.4 to 13B.6
13.4 Physical properties of Ethers
13.5 Chemical properties of Ethers
13.6 Some commercially important compounds



NCERT Materials
http://www.ncert.nic.in/ncerts/l/lech202.pdf


NIOS Material
http://www.nios.ac.in/media/documents/313courseE/L28.pdf

12. Stereochemistry - JEE Main - 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.

Core Revision Points in Sections in the Chapter

12.1 Types of isomerism

Isomers are two types: constitutional (structural) and stereoisomers.

12.2 Geometrical isomerism
13.3 Confirmational isomerism
12.4 Optical activity



12.5 Chirality of objects and molecules
A chiral molecule is a molecule that is non superimposable on its mirror image.

12.6 Enantiomers
12.7 Configurations and Fisher Projections

12.8 Chiral or asymmetric carbon
The carbon atom which is bonded to four different groups or atoms is called chiral or asymmetric carbon.



12.9 Symmetry elements and chirality
12.10 Dissymetry – Condition for enantiomerism
12.11 Nomenclatures for stereo- isomers
12.12 Compounds containing two chiral centres

12.13 Meso compounds
Meso compound is a compound whose molecules are superimposable on their mirror images inspite of the presence of an assymmetric carbon atom. This is due to internal compensation.

12.14 Racemic mixtures and racemisation

12.15 Resolution
12.16 Importance of Stereo Chemistry





Sections in the Chapter

12.1 Types of isomerism
12.2 Geometrical isomerism
13.3 Confirmational isomerism
12.4 Optical activity
12.5 Chirality of objects and molecules
12.6 Enantiomers
12.7 Configurations and Fisher Projections
12.8 Chiral or asymmetric carbon
12.9 Symmetry elements and chirality
12.10 Dissymetry – Condition for enantiomerism
12.11 Nomenclatures for stereo- isomers
12.12 Compounds containing two chiral centres
12.13 Meso compounds
12.14 Racemic mixtures and racemisation
12.15 Resolution
12.16 Importance of Stereo Chemistry



Notes
https://www.utdallas.edu/~scortes/ochem/OChem1_Lecture/Class_Materials/09_stereo_notes.pdf

Updated on 2 January 2020
31 January 2016

Monday, December 23, 2019

8 - p-Block Elements - JEE Main - Core Points for Revision

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 – Jauhar Text Book 12th Class



Study Plan

Group 13 elements


Boron, Aluminum, Gallium, Indium, Thallium, Nohonium

8.1 Occurrence and their uses
8.2 General characteristics of Group 13 elements
8.3 Trends in chemical reactivity

8.4 Aluminium: Extraction and properties


Group 14 Elements

Carbon, Silicon, Germanium, Tin, Lead, Flerovium

8.5 Occurrence and uses
8.6 General characteristics of group 14 elements
8.7 Trends in chemical reactivity

Silica - Detailed


8.8 Forms of silica
8.9 Silicates
8.10 Silicones

8.11 Tin and lead

Group 15 elements

Nitrogen, Phosphorous, Arsenic, Antimony, Bismuth, Moscovium

8.12 Occurrence and uses
8.13 General characteristics of group 15 elements
8.14 Trends in chemical reactivity

Phosphorous - Detailed


8.15 Production of phosphorus
8.16 Allotropic forms of phosphorus
8.17 Phosphine
8.18 Structure of some compounds of phosphorus

Group 16 elements

Oxygen, Sulphur, Selenium, Tellurium, Polonium

8.19 Occurrence and uses
8.20 General characteristics of group 16 elements
8.21 Trends in chemical reactivity
8.22 Important compounds of group 16 elements

Sulphur - Detailed


8.23 Production of sulphur
8.24 allotropes of sulphur
8.25 Sulphuric acid

Group 17 elements - Halogens

Flourine, Bromine, Chlorin, Iodine, Astatine

8.26 Occurrence and uses
8.27 General characteristics of group 17 elements
8.28 Trends in chemical reactivity


8.29 Bleaching powder
8.30 Interhalogen compounds

Group 18 elements - Noble Gases

Helium, Neon, Argon, Krypton, Xenon, Radon


8.31 Occurrence of noble gases
8.32 Isolation of noble gases and uses
8.32 General characteristics of group 18 elements

8.33 Compounds of noble gases







Updated  2 January 2020  31 Jan 2016, 22 May 2015

Thursday, July 25, 2019

2. Solid State - JEE Main - 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.


JEE Syllabus (2015)  on Solid State Topic


Solid State: Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea); Unit cell and lattices, packing in solids (fcc, bcc and hcp lattices), voids,   Bragg’s Law and its applications; calculations involving unit cell parameters, imperfection in solids; Electrical, magnetic and dielectric properties.


Jauhar, CBSE XII class

Sections in the Chapter


2.1 Space Lattices and Unit Cell
2.2 Close Packing in Crystalline Solids
2.3 Interstitial Sites or Interstitial Voids
2.4 Types of Cubic Crystals and Number of Atoms per Unit Cell
2.5 Experimental Methods of Determining Crystal Structure: X Rays Diffraction
2.6 Coordination Number and Radius Ratio
2.7 Ionic Radii
2.8 Calculation of Density of a Crystal from its Structure
2.9 Structures of Ionic Compounds
2.10 Imperfections in solids
2.11 Properties of solids
2.12 Amorphous solids


Solid State - Revision Points



The main content covered in the chapter is about the formation of crystals in solids. Last section 2.12 is about amorphous solids which are not crystalline solids.


Solids can be broadly classified into two categories: crystalline and amorphous.


Crystalline solids


The outstanding features are its flat faces and share edges which in a well developed form are usually arranged symmetrically.  Therefore, there is a high degree of internal order throughout the crystal. There is a definite pattern constantly repeating in space that forms the crystal. This order in the crystal is known as long-range order.

Amorphous solids


Amorphous solids are not crystals and they do not have long range order but have short-range order. An ordered arrangement exists around some atoms, molecules or ions only up to short distances. The same order will not be found around other atoms or molecules in the solid at another place. In many was amorphous solids are more closely related to liquids and are therefore regarded as supercooled liquids with high viscosity.  Some crystalline materials can be converted into amorphous or glassy form by rapidly cooling the melt. Freezing the vapours also gives rise to amorphous solids.

Bonds Present in  Solids



Molecular bonds:  In these solids, the constituent particles are molecules. The molecules are held together by weak Van der Waals forces. Examples are iodine, ice and solid carbon dioxide.

Ionic bonds:  Ionic solids have positively and negatively charged ions which are arranged in crystal form and held together by strong electrostatic forces. Examples are salts like NaCl, NaNO3, LiF and Na2SO4 etc.

Covalent bonds:  In these solids, the constituent particles are atoms and they are held together by covalent bonds. Examples are diamond, silicon carbide, and silica.


Metallic bonds: In solids with metallic bonds, positive kernels are immersed in a sea of mobile electrons. The forces between the constituents, positive kernels and electrons form the metallic bonds. These bonds are present in metals like copper, nickel etc.

2.1 Space Lattice and Unit Cell


The crystalline solids have their constituent particles - molecules, ions or atoms at specific locations in a three dimensional space, the basic shape of which repeats many times to form the crystalline solid.  The arrangement of this infinite set of points at which the constituent particles of the solid exist is called space lattice.

Space Lattice


A space lattice is a regular arrangement of the  constituent particles of a crystalline solid in three dimensional space. These points are called lattice points.

Unit Cell


A unit cell is the smallest repeating unit in space lattice.



Parameters to describe a unit cell


Six parameters are required.  The unit cell is assumed to be formed of straightline in three axes.

These the three basic vectors along three crystallographic axes are termed (a,b, and c). Three angles are there between the crystallographic axes (α,β,γ). The angle α is between the edges b and c, The angle β is between edges c and a. The angle γ is between the edges b and a.


Seven Crystal Systems


Crystals can be classified into seven categories


Triclinic -  a is not equal to b  is not equal to - (α,β,γ) are different and not equal to 90 degrees

Monoclinic

Orthoclinic

Trigonal or Rhombohedral

Cubic

Tetragonal

Hexagonal


2.2   Close Packing in Crystalline Solids

In the formation of crystals, closed packing of the constituent particles takes place.



Square Pattern

To understand arrangement of the particles in a solid one can visualise four particles arranged as a square. In this one particle assumed as a sphere is above another particles and four such sphere form a square and the pattern is repeated. But this pattern is not the usual pattern because only 52.4% of the available space becomes occupied in this square pattern of packing.

Hexagonal Pattern

In hexagonal close packing of particles (assumed as spheres), the spheres in the second row are placed in the depressions between the spheres in the first row. (In earlier square pattern, a sphere is placed on another sphere. But now a sphere is placed in the depression between two spheres in  the row below. In this packing, 60.4% of space gets occupied. Hence this hexagonal close packing gives more close packing.

Co-ordination Number

The number of spheres which are touching a given sphere in packing arrangement is called co-ordination number. Thus in two dimensional representation coordination number is 4 in square arrangement and six in hexagonal arrangement.

Good web page for the above topics Lattice Structures in Crystalline Solids  https://opentextbc.ca/chemistry/chapter/10-6-lattice-structures-in-crystalline-solids/




2.3 Interstitial Sites or Interstitial Voids

In the packed structure of the crystalline solid, there are hollow spaces between particles. These holes are voids are called interstitial sites or interstitial voids. Two important interstitial sites are 1. Tetrahedral interstitial site.  (2) Octahedral interstitial site.


2.4 Types of Cubic Crystals and Number of Atoms per Unit Cell

There are three common types of cubic crystals.

1. Simple cubic
2. Body centred cubic
3. Face centred cubic or cubic close packing

2.5 Experimental Methods of Determining Crystal Structure: X Rays Diffraction


The structure of solid is studied by X-ray diffraction methods.

Bragg Equation:

n lamba = 2d sin theta

where d = distance between the planes of the constituent particles of the  crystal.
lamba = wave length of the x-ray used.
n =  1,2,3 etc.  standing for the serial order of the diffracted beam.


2.6 Coordination Number and Radius Ratio
2.7 Ionic Radii
2.8 Calculation of Density of a Crystal from its Structure
2.9 Structures of Ionic Compounds
2.10 Imperfections in solids
2.11 Properties of solids
2.12 Amorphous solids


close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices;

packing of crystals;
Body centred cubic(bcc),
Hexagonal closed packed (hcp) and

cubical close packed (ccp)

Point defects: Schottsky defects, Frenkel defects


Practice questions

http://makoxmcqs.com/chemistry-mcqs-for-iit-jee-s-block-elements-mcq-practice-sheet/


See an Oxford Video on Crystal Structure
09. Geometry of Solids I: Crystal Structure in Real Space
http://podcasts.ox.ac.uk/09-geometry-solids-i-crystal-structure-real-space

Good Websites for Solid State Topic

Updated on 27 July 2019
6 June 2015
Originally published  22 May 2015

Tuesday, May 3, 2016

Ch.1 Atomic Structure and Chemical Bonding - JEE Main 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

1.1 Dual Nature of Radiation
1.2 Dual Nature of Matter - de-Broglie Equation
1.3 Heisengberg's Uncertainty Principle
1.4 Wave Mechanical Model of Atom and Concept of Atomic Orbital
1.5 Quantum Numbers

1.6 Pauli's Exclusion Principles
1.7 Orbital Wave Functions and Shapes of Orbitals
1.8 Electronic Configurations of Atoms
1.9 Chemical Bonding
1.10 Review of Valency Bond Theory

1.11 Molecular Orbital Theory
1.12 Linear Combination of Atomic Orbitals (LCAO) Method
1.13 Relative Energies of Bonding and Antibonding Molecular Orbitals
1.14 Combination of 2s and 2p Atomic Orbitals to form Molecular Orbitals
1.15 Conditions for the Combination of Atomic Orbitals

1.16 Energy Level diagram for Molecular Orbitals
1.17 Rules for Filling Molecualr Orbitals
1.18 Electronic Configurations and Molecular Behavior
1.19 Bonding in Some Diatomic Molecules
1.20 Metallic Bond

1.21 Hybridisation
1.22 Intermolecular Forces
1.23 Hydrogen Bonding



Revision Points for Various Sections in the Chapter


1.1 Dual Nature of Radiation

Einstein in 1905 suggested that light has a dual character - Particle nature as well as wave.

Wave like character of light was proposed by Huygens.  In 1856, James Maxwell proposed that light and other forms of radiation propagate though space in the form of waves and these waves have electric and magnetic fields associated with it. Therefore, the light which is travelling through radiation is said  to be composed of electromagnetic waves.

Planck's Quantum Theory of Radiation



1.2 Dual Nature of Matter - de-Broglie Equation

In 1924, Louis de Broglie suggested that similar to light, all microscopic material particles in motion have dual character.

1.3 Heisengberg's Uncertainty Principle


Uncertainty principle

In 1927, Heisenberg put forward a principle known as Heisenberg’s uncertainty principle.

According it, “it is not possible to measure simultaneously both the position and momentum (or velocity) of a microscopic particle, with absolute accuracy.”

Mathematically, this principle is expressed as:

∆x * ∆p = h/4 π

Where
∆x = uncertainty in position

∆p = uncertainty in momentum

The constancy of the product of uncertainties means that, if the position of the particle is known with more accuracy, there will be large uncertainty in momentum and vice versa.

This uncertainty arises, as all observations are made by impact of light, the microscopic objects suffer a change in position or velocity as a result of impact of light. So there is a disturbance in them due to the measurement.

The principle does not affect the measurement of large objects as in these cases impact of light does not created any appreciable change in their position or velocity.

1.4 Wave Mechanical Model of Atom and Concept of Atomic Orbital


Quantum mechanics or wave mechanics is a theoretical science which deals with the study of the motion of the microscopic objects (like electron) which have both observable wave like and particle like properties.

Quantum mechanics was developed indepdendently in 1926 by Werner Heisenberg and Erwin Schrodinger. In 1927, Schrodinger wave equation was published.

1.5 Quantum Numbers


According to quantum mechanical model or wave mechanical model of atom, orbitals represent regions in space around the nucleus where the probability of finding electrons is maximum. A large number of orbitals are possible in an atom.

To describe each electron in an atom in different orbitals, four quantum numbers are used. They are designated as n,l,ml, and ms.



1. Principal quantum number (n) This quantum number determines the main energy shell or level in which the electron is present. It can have whole number values starting from 1 in an atom.

The principle quantum number indicates the average distance of the electron from the nucleus. If n = 1, it is closest to the nucleus and has lowest energy.

Eariest practice was to number shells as K,L,M,N etc.
Shell with principal quantum number n = 1 is called K.
Shell with principal quantum number n = 2 is called etc.

2. Azimuthal quantum number or angular quantum number (l): This number determines the angular momentum of the electron.

It can have positive integer values from zero to (n-1) where n is the principal quantum number. For each value of n, there are n possible values of l.

For n =3, l has three values: l = 0,1,2

The earlier practice is to designate l as subshell and refer it by letters s,p,d,f,….

l=0 = s; l=1=p; l=2=d, l=3=f etc.

The energy of subshell increases with increasing value of l.

3. Magnetic quantum number ( ml): Magnetic field acts on moving electrical charges. ( from chapters on magnetism in physics syllabus). On revolving electrons external magnetic field of the earth acts. Therefore, the electrons in a given subshell orient themselves in certain preferred regions space around the nucleus. These are called orbitals. This quantum number gives the number of orbitals for given angular quantum number l or in a given subshell.

The allowed values of ml are –l through 0 to +l.

There are (2l+1) values of ml for each value of l.

If l = 0, ml has only one value. ml = 0.

If l = 3, ml has 7 values.
ml = -3,-2,-1,0,1,2,3

4. Spin quantum number (ms) : It is observed that the electron in an atom is not only revolving around the nucleus but is also spinning around its own axis. This quantum number describes the spin orientation of the electron.

The electron can spin in two ways – clockwise and anticlockwise.
Values of +1/2 and -1/2 are given to this quantum number. Its value is not dependent on other quantum numbers.

The orientations of spin are also designated by up and down arrows ↑ ↓.

1.6 Pauli's Exclusion Principles


Pauli's exclusion principle: No two electrons can have all four same quantum numbers

1.7 Orbital Wave Functions and Shapes of Orbitals

1. Spherical shape for s.
2. Dumbbell shape for orbitals of p.
3. Four-lobed shape for orbitals of d.
4. Complex shape for all orbitals of higher sublevels

1.8 Electronic Configurations of Atoms

1. Aufbau principles
2. Pauli's exclusion principle: No two electrons can have all four same quantum numbers
3. Hund's rule of maximum multiplicity

1.9 Chemical Bonding

1. Valency bond theory 2. Molecular orbital theory

1.10 Review of Valency Bond Theory

Valency bond theory was proposed by Heitler and London in 1927 and it was further developed by Linus Pauling.

The basic idea of the theory are:

1. A covalent bond is formed by the overlap of half-filled atomic orbitals of the different atoms.
2. The overlapping atomic orbitals must have electrons with opposite spins.


1.11 Molecular Orbital Theory

This theory was proposed by Hund and Mulliken in 1932. The basic idea of the theory is that atomic orbitals of individual atoms combine to form molecular orbitals.

1.12 Linear Combination of Atomic Orbitals (LCAO) Method

According to LCAO method, the orbitals are formed by the linear combination (addition or subtraction) of atomic orbitals of the atoms which form the molecule.


1.13 Relative Energies of Bonding and Antibonding Molecular Orbitals
1.14 Combination of 2s and 2p Atomic Orbitals to form Molecular Orbitals

2s-orbitals combine by addition and subtraction to form bonding and antibonding molecular orbitals.

1.15 Conditions for the Combination of Atomic Orbitals

Main Conditions for the Combination of Atomic Orbitals

1. The combining atomic orbitals should  not differ much in energies.
2. The extent of overlapping between the atomic orbitals of two atoms should be large.
3. The combining atomic orbitals between the atomic orbitals of two atoms should be large.

1.16 Energy Level diagram for Molecular Orbitals

1.17 Rules for Filling Molecualr Orbitals

1. Aufbau principles
2. Pauli's exclusion principle: No two electrons can have all four same quantum numbers
3. Hund's rule of maximum multiplicity

1.18 Electronic Configurations and Molecular Behavior

The important information conveyed by Electron Configuration of a molecule is:

1. Stability of a molecule
2. Bond Order

1.19 Bonding in Some Diatomic Molecules

1. Hydrogen molecule.

1.20 Metallic Bond

More than 80 elements in the periodic table are metals.
The force which holds together atoms of metals is called metallic bond.

1.21 Hybridisation

Hybridizastion is the phenomenon of intermixing of the orbitals of slightly different energies so as to redistribute their energies and to give new set of orbitals of equivalent energy and shape.

1.22 Intermolecular Forces

In addition to normal covalent bond, ionic bond, and metallic bond, there are weak attractive intermolecular forces which occur in all kinds of molecular solids. These are present in case of non-polar molecules such as H2, O2, CO2, CH4 etc. also.

These are classified as:
i) Dipole-dipole forces
ii) Dipole induced dipole forces
iii) Instantaneous dipole-instantaneous induced dipole forces (called London forces)
iv) Hydrogen bonding

1.23 Hydrogen Bonding

When hydrogen atom is bonded to atoms of highly electronegative elements such as fluorine, oxygen, or nitrogen, the hydrogen atom forms a weak bond with the electronegative atom of the other molecule.


Updated 4 May 2016
First Posted on 23 May 2015

Wednesday, February 3, 2016

6. Chemical Kinetics - JEE Main - CBSE 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 Jauhar

6.1 Rate of a chemical reaction
6.2 Experimental measurement of reaction rate
6.3 Factors which influence rates of chemical reactions
6.4 Dependence of reaction rates on concentration
6.5 Order of a reaction
6.6 Integrated rate expansion
6.7 Experimental determination of order of a reaction
6.8 Half life period of a reaction
6.9 Collision theory: Energy and orientation barriers to reactions
6.10 Dependence of reaction rates on temperature
6.11 Concept of activation energy and activated complex theory
6.12 Arrhenius equation and calculation of activation energy
6.13 Effect of radiations on reaction rates: photochemical reactions
6.14 Mechanism of a reaction
6.15 Fast reactions

Revision of the Chapter Video - Hindi
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Revision Points


The topic "Chemical kinetics" consists of reaction rate and reaction mechanism.

The branch of chemistry which deals with the rates of chemical reactions and the mechanism by which they occur, is called chemical kinetics.

Reaction rate is the speed with which a reaction takes place. This shows the rate or speed at which the reactants are consumed and products are formed.

Reaction mechanism is the path by which a reaction takes place.


6.1 Rate of a chemical reaction


Reaction rate is the speed with which a reaction takes place. This shows the rate or speed at which the reactants are consumed and products are formed.

Reaction mechanism is the path by which a reaction takes place.


Rate of reaction

The rate of reaction is a quantity that tells how the concentration of reactants or product changes with time.

So this can be expressed as Δ concentration/Δ time. That is change in concenation divided by time taken for the change.

Molar concentration i.e., moles per liter (M), is used in these equations.

The brackets, [ ] are always used to to indicate molar concentrations.


6.2 Experimental measurement of reaction rate


6.3 Factors which influence rates of chemical reactions


Temperature

As temperature increases, the average kinetic energy increases. So there are more molecules with activation energy and hence reaction rate increases.

As a general approximation, the rate roughly doubles for each 10°C rise in temperature.


6.4 Dependence of reaction rates on concentration


Law of Mass Action

In 1867, Cato Guldberg, and Peter Waage, proposed this law. According to this law, for the rate determining step in a reaction, the rate of reaction is proportional to the product of the concentrations of the reactants, each raised to the power of its coefficient in the balanced equation.

For the reaction aA + bB → cC (when it is a rate determining step)

Rate of reaction is proportional to [A]^a[B]^b

The above proportionality can be written as an equation, by putting in a proportionality constant k.

Rate = k *[A]^a[B]^b

K is called the specific rate constant

Rate law

The rate for a reaction is a mathematical expression that relates the rate of reaction to the concentrations of the reactants.

For the reaction aA + bB → products

The rate law is expressed as, rate of reaction is proportional to [A]^x[B]^y.
x and y are determined experimentally. These values can be whole or fractional numbers or zero.

Rate = k[A]^x[B]^y

k = the rate constant.
[A] and [B] are molar concentrations of reactants mol/litre

Units of rate: Rate is the change in concentration with time.

If the concentrations are expressed in moles/litre and time in seconds, then the units for rate of reaction are mol litre-1 s-1 or mol L-1s-1

Units of rate constant

Units of rate constant are different for different orders of reaction.

For zero order reactions units of rate constant are mol L-1s-1

For first order reactions units of rate constant are s-1

For second order reactions units of rate constant are L mol-1s-1

Basically units of rate constant are changing to give the rate of reaction in required units mol L-1s-1 (change in concentration with time).

In case of gases, the concentrations are expressed in terms of pressure in the units of atmosphere. Therefore the rate of reaction has the units of atm per second.


Integrated Rate Expressions

For zero order reactions

k0 = {[A]0 - [A]}/t

Where k0 = rate constant in the case of zero order reactions
[A]0 = Initial concentration of reactant A

[A] = concentration of reactant A at time t.
t = time

This can be alternatively expressed.

a = Initial concentration of reactant A (in moles per litre)
x = moles reactants that changed into products in time t
a-x = concentration of reactant A after time t

k0 = x/t

Where k0 = rate constant in the case of zero order reactions
x = moles reactants that changed into products in time t

For first order reactions

k1 = (2.303/t)log{[A]0/[A]}

Where k1 = rate constant for first order equations

Alternative expression



a = Initial concentration of reactant A (in moles per litre)
x = moles reactants that changed into products in time t
a-x = concentration of reactant A after time t

k1 = (2.303/t)log{a/(a-x)}

6.5 Order of a reaction

Order of a reaction

The sum of the powers to which the concentration terms are raised in the rate law expression.

For the expression Rate = k[A]^x[B]^y, the order of the reaction is x+y. The order of the reaction is represented by n.

When n = 1, the reaction said to be first order reaction.
n = 2 second order reaction etc.

There are number of reactions where rate of reaction is independent of concentration of reactants. The order of reaction is zero.





6.6 Integrated rate expansion
6.7 Experimental determination of order of a reaction
6.8 Half life period of a reaction
6.9 Collision theory: Energy and orientation barriers to reactions
6.10 Dependence of reaction rates on temperature
6.11 Concept of activation energy and activated complex theory

6.12 Arrhenius equation and calculation of activation energy


Reaction Rate Depends on Temperature

Temperature has influence on reaction rates. In general, an increase in temperature increases the rate of almost all reactions.

A general approximate rule is that the rate of a reaction becomes almost double for every 10° rise in temperature.

Activation Energy

For many reactions some extra energy is to be supplied to the reactants to initiate the reaction. This excess energy is required to bring the energy of reactants to the energy that is required to start the reaction. The energy of the reactants at which the reaction starts is called threshold energy.

Activation energy is the extra energy supplied to initiate the reaction. Thus activation energy is equal to the difference between the threshold energy and the average kinetic energy of the reacting molecules at the the given temperature (Note as activation energy is being given the temperature of the reactants increases)

Arrhenius Equation

Arrhenius proposed a quantitative relationship between rate constant and temperature

k = Ae(–Ea/RT)

where k = rate constant
A is a constant known as frequency factor. In a JEE problem it was termed as preexponential factor
–Ea is the activation energy
Both A and –Ea0 are characteristic of the equation
T is the absolute temperature and R is the gas constant

In log form the equation becomes

log k = log A - (Ea)/2.303 RT

As the activation energy –Ea0 increases, the value of k decreases and therefore, the reaction rate decreases.

Find the value of –Ea0

If log k is plotted against 1/T (both found through experiments), the intercept of the line will be equal to - (Ea)/2.303 R. Hence from the slope found from the graph - (Ea) can be found out as -2.303 R multiplied by slope.

Second Method

Measure rate constant at two temperatures k1 and k2 at T1 and T2

log (k2/k1) = (Ea/2.303 R)[ (1/T1) - (1/T2)]

JEE 2009 problem


For a first order reaction A→P, the temperature (T) dependent rate constant(k) was found to follow the equation logk = – (2000)(1/T) + 6.0
The pre-exponential factor A and the activation energy Ea, respectively, are -

Answer:
1.0 × 1066 s-1 and 38.3 kJ mol-1



6.13 Effect of radiations on reaction rates: photochemical reactions
6.14 Mechanism of a reaction
6.15 Fast reactions

Chemical Kinetics - 28 Videos Playlist - Examfearvideos
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Updated 3 Feb 2016, 22 May 2015

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

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.

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

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Updated 3 Feb 2016,  22 May 2015



4. Chemical Thermodynamics - JEE Main - 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 (Jauhar’s Book CBSE)

4.1 Some basic terms and concepts
4.2 Internal energy, heat and work
4.3 First law of thermodynamics
4.4 Enthalpy and Enthalpy change
4.5 Limitations of first law of thermodynamics: Need of second law
4.6 Randomness and spontaneity
4.7 Entropy
4.8 Second law of thermodynamics
4.9 Entropy change during phase transition
4.10 Gibbs Free energy and free energy change
4.11 Free energy change for predicting feasibility of a reaction
4.12 Standard free energy change
4.13 Standard free energy change and equilibrium constant
4.14 Gibbs free energy change and nonmechanical work
4.15 Absolute entropies and third law of thermodynamics


Sections in the chapter (Jauhar’s Book CBSE)

4.1 Some basic terms and concepts
4.2 Internal energy, heat and work
4.3 First law of thermodynamics
4.4 Enthalpy and Enthalpy change
4.5 Limitations of first law of thermodynamics: Need of second law
4.6 Randomness and spontaneity
4.7 Entropy
4.8 Second law of thermodynamics
4.9 Entropy change during phase transition
4.10 Gibbs Free energy and free energy change
4.11 Free energy change for predicting feasibility of a reaction
4.12 Standard free energy change
4.13 Standard free energy change and equilibrium constant
4.14 Gibbs free energy change and nonmechanical work
4.15 Absolute entropies and third law of thermodynamics


Play List 11 videos
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4. Chemical Thermodynamics - JEE - CBSE Class XII - Revision Questions


Updated  3 Feb 2016,  22 May 2015


3. Solutions - 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

3.1 Types of solutions
3.2 Methods for expressing the concentration of a solution: units of solution
3.3 Solubilioty of gases and solids in liquids
3.4 Vapour pressure of solutions
3.5 Ideal and Nonideal solutions
3.6 Colligative properties
3.7 Relative lowering of vapour pressure
3.8 Elevation in boiling point
3.9 Depression in freezing point
3.10 Osmosis and osmotic pressure
3.11 Electrolytic solutions – Abnormal molar masses



Sections in the Chapter

3.1 Types of solutions



a solution is a homogeneous mixture of two or more substances whose composition can be varied within certain limits.

In a solution, the component which is in excess is called solvent.

The component, that has lesser quantity is called solute.

In a solution particles are of molecular size (about 1000 pm) and the different components cannot be separated by any of the physical methods such as filtration, settling etc.


The concentration of a solution may be defined as the amount of solute present in the given quantity of the solution.

volume percent
Vol% = 100*volume of solute/(volume of solute + volume of solvent)

mass percent
mass % = 100*(mass of solute)/(mass of solute + mass of solvent)

parts per million
ppm = 10^6*(mass of solute)/(mass of solute + mass of solvent)

molality
m = number of moles of solute/kilograms of solvent

molar concentration or moles per liter or Molarity
M = number of moles of solute/liters solution

Mole fraction
Xy (y is subscript) = number of moles of y in mixture/totals moles in mixture

Normality
It is the number of gram equivalents of the solute dissolved per litre of the solution. It is denoted by N.

Normality (N) =

[Number of gram equivalents of solute]/[Volume of solution in litres]
Units of normality are gm equivalent per litre.

Formality
It is the number of formula masses of the solute dissolved per litre of the solution. It is represented by F.

Formality = [Number of formula masses of solute]/[Volume of the solution in litre]

Formality is used to express the concentrations of ionic substances like NaCl, CuSO4 etc. in solutions. They do not exist in solutions as discrete molecules. In these solutions, the sum of the atomic masses of various atoms constituting the formula of the compound (ionic) is called gram formula mass instead of molar mass.




3.2 Methods for expressing the concentration of a solution: units of solution


3.3 Solubilioty of gases and solids in liquids


Solubility of Gases in Liquids

Gases dissolve in liquids to form homogeneous solutions. The solubility of different gases in the same solvent varies. Gases which react with the solvent will be most soluble. The solubility of a gas decreases with temperature and increases with with increase of pressure over the solution at a given temperature.

Henry's Law
The mass of a gas dissolved per unit volume of the solvent at a given temperature is proportional to the pressure of the gas in equilibrium with the solution.

m is proportional to p
where m = mass of the gas dissolved in a unit volume of the solvent
p = pressure of the gas in equilibrium.

If pressure is more, more mass of gas is dissolved

3.4 Vapour pressure of solutions


When a liquid is placed in a vessel and is covered with jar, from the liquid evaporation takes place and the vapour of the liquid or molecules of the liquid in gap form fill the available space. As the evaporation takes place over a period of time, the number of gaseous molecules goes up. As evaporation is taking place some molecules in the gaseous phase collide with the surface of the liquid and become liquid molecules. Thus both evaporation and condensation take place simultaneously. But initially there is more evaporation and less condensation. At the some stage, rate of evaporation equals rate of condensation and equilibrium is established between gas and liquid phases. The pressure exerted by the vapours at the equilibrium stage is called vapour pressure.

Definition
The pressure exerted by the vapours above the liquid surface (in a closed vessel) in equilibrium with the liquid at a given temperature is called vapour pressure.

Vapour pressure changes from liquid to liquid. It depends on intermolecular forces. if the forces in a liquid are weak, there is more gas formation and hence more vapour pressure.

A higher temperature there is more gas formation and hence for the same liquid vapour pressures increase with temperature.


Raolt's Law

In the case of a solution of two liquids, A and B, the total vapor pressure Ptot(P total) above the solution is equal to the sum of the vapor pressures of the two components, PA and PB and

PA = PA° * Am
PB = PB° * Bm

Where
PA° = vapour pressure created by 1 mol of liquid A
Am = mole fraction of liquid A in the solution
PB° = vapour pressure created by 1 mol of liquid A
Bm = mole fraction of liquid A in the solution

3.5 Ideal and Nonideal solutions

3.6 Colligative properties

3.7 Relative lowering of vapour pressure


Molecular weight determination from lowering of vapor pressure

Molar mass of a solute can be found from the property of lowering of vapor pressure of a solution.

Mb = (Wb*Ma)/[Wa*(Pa°-Pa)/Pa°]

Wb = weight of solute particles, Wa= weight of solvent
(Pa°-Pa)/Pa° = decrease in vapour pressure of solution
Ma = Molar mass of solvent

3.8 Elevation in boiling point

3.9 Depression in freezing point


Molecular weight determination from depression of freezing point.


The freezing point is the temperature at which the solid and liquid states the substance have the same vapour pressure.

When a non-volatile solute is added to a solvent, the freezing point of the solution is always lower than that of the pure solvent.

The depression in freezing temperature is proportional to the molal concentration of the solution (m).
ΔTf α m Or ΔTf = Kf*m

ΔTf = depression in freezing point.

Kf is the molal depression constant. also called molal cryoscopic constant. It is defined as the depression in freezing point for 1 molal solution i.e., a solution containing 1 gram mole of solute dissolved in 1000 g of solvent.
When m =1; ΔTf = Kf

Depression in freezing point is a colligatvie property as it is directly proportional to the molar concentration of the solute.


To find the molar mass of an unknown substance (nonvolatile compound), a known mass of it is dissolved in a known mass of a solvent and depression in its freezing point (ΔTf)is measured.

weight of solute be Wb g
weight of the solvent be Wa g
Molar mass of the solute be Mb

Molality of the solution, m = Wb*1000/Mb*Wa

Substitute the value of m in ΔTf = Kf*m = Kf*Wb*1000/Mb*Wa

From the above equation Mb can be calculated.

Mb = Kf*Wb*1000/Wa*ΔTf

Example:

Addition of 0.643 g of a compound to 50 ml of benzene (density 0.879 g/ml) lowers the freezing point from 5.51°C to 5.03°C. If Kf for benzene is 5.12 K kg molˉ¹, calculate the molar mass of the compound. (IIT 1992)

The formula of Mb is available above.

weight of solute be Wb g = 0.643 g

weight of the solvent be Wa g = 50*0.879 = 43.95 g
Change in freezing point = 5.51 - 5.03 = 0.48°C

Mb = (5.12 * 0.643 * 1000)/(43.95*0.48)






Mb = [Kf*Wb*1000]/[ΔTf * Wa]

3.10 Osmosis and osmotic pressure
3.11 Electrolytic solutions – Abnormal molar masses


Glossary


Solute: the substance dissolved; the substance present in a solution in the lesser amount.

Solvent: the dissolving medium; the substance in a solution in the greater amount.

Solution: a homogeneous mixture of two or more substances.

volume percent
Vol% = 100*volume of solute/(volume of solute + volume of solvent)

mass percent
mass % = 100*(mass of solute)/(mass of solute + mass of solvent)

parts per million
ppm = 10^6*(mass of solute)/(mass of solute + mass of solvent)

molality
m = number of moles of solute/kilograms of solvent

molar concentration or moles per liter or Molarity
M = number of moles of solute/liters solution

Mole fraction
Xy (y is subscript) = number of moles of y in mixture/totals moles in mixture

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3. Solutions - JEE - CBSE Class XII - Revision Questions