Chemical equilibrium: law of mass action, determination of equilibrium constant,
heterogeneous equilibrium and homogenous equilibrium, le chateliar principle and vant
hoff equation
Introduction
Ohm’s law.
Conductometric measurements.
Factor affecting conductivity.
Application of conductometry.
2.Conductometric titration-:
Introduction.
Types of conductometric tiration.
Advantages of conductometric tiration.
3.Recent devlopement
Conductometry:
is the simplest of the electroanalytical techniques; by Kolthoff in 1929.
Conductors are:
either metallic (flow of electrons) or electrolytic (movemenmt of ions).
Conductance of electricity:
migration of positively charged ions towards the cathode and negatively charged ones towards the anode
(i.e.) current is carried by all ions present in solution.
Conductance depends on the number of ions in solun.
Factors affecting conductance:
1- Temperature:
(1C increase in temperature causes 2 % increase in conductance).
2- Nature of ions
Size, molecular weight and number of charges.
3- Concentration of ions:
As the number of ions increases, the conductance increases.
4- Size of electrodes
Conductance is directly proportional to the cross sectional area (A).
Solubility of drugs: Solubility expressions, mechanisms of solute solvent interactions, ideal solubility parameters, solvation & association, quantitative approach to the factors
influencing solubility of drugs, diffusion principles in biological systems. Solubility
of gas in liquids, solubility of liquids in liquids, (Binary solutions, ideal solutions)
Raoult’s law, real solutions. Partially miscible liquids, Critical solution temperature . Distribution law, its limitations and applications
Introduction
Ohm’s law.
Conductometric measurements.
Factor affecting conductivity.
Application of conductometry.
2.Conductometric titration-:
Introduction.
Types of conductometric tiration.
Advantages of conductometric tiration.
3.Recent devlopement
Conductometry:
is the simplest of the electroanalytical techniques; by Kolthoff in 1929.
Conductors are:
either metallic (flow of electrons) or electrolytic (movemenmt of ions).
Conductance of electricity:
migration of positively charged ions towards the cathode and negatively charged ones towards the anode
(i.e.) current is carried by all ions present in solution.
Conductance depends on the number of ions in solun.
Factors affecting conductance:
1- Temperature:
(1C increase in temperature causes 2 % increase in conductance).
2- Nature of ions
Size, molecular weight and number of charges.
3- Concentration of ions:
As the number of ions increases, the conductance increases.
4- Size of electrodes
Conductance is directly proportional to the cross sectional area (A).
Solubility of drugs: Solubility expressions, mechanisms of solute solvent interactions, ideal solubility parameters, solvation & association, quantitative approach to the factors
influencing solubility of drugs, diffusion principles in biological systems. Solubility
of gas in liquids, solubility of liquids in liquids, (Binary solutions, ideal solutions)
Raoult’s law, real solutions. Partially miscible liquids, Critical solution temperature . Distribution law, its limitations and applications
This presentation gives us idea about Gravimetric Analysis which is widely used in chemistry. Hope This Helps !
For More Information - 19103083@student.hindustanuniv.ac.in
The fundamentals of chemical equilibrium including Le Chatier's Principle and solved problems for heterogeneous and homogeneous equilibrium.
**More good stuff available at:
www.wsautter.com
and
http://www.youtube.com/results?search_query=wnsautter&aq=f
pH is a measure of the acidity or basicity of a solution. It is defined as the cologarithm of the activity of dissolved hydrogen ions (H+). Hydrogen ion activity coefficients cannot be measured experimentally, so they are based on theoretical calculations. The pH scale is not an absolute scale; it is relative to a set of standard solutions whose pH is established by international agreement.
This slide completely describes you about the stuff include in it and also everything about chemical engineering. Fluid Mechanics. Thermodynamics. Mass Transfer Chemical Engineering. Energy Engineering, Mass Transfer 2, Heat Transfer,
This unit includes: rate of a chemical reaction, graphs,, unit of rate, average rate& instantaneous rate,. factors influuncing rate of a reaction, Rate expression & rate constant, Order & molecularity of a reaction,, initiall rate method & integrated rate law equations, numerical problems,, Half life period, Pseudo first order reaction, Temperature of rate of reaction, Activation energy, collision frequency & effective collision, Collision theory, Arrhenius equation,, effect of catalyst on rate of reaction, numerical problems
Introduction
error, accuracy, precision
Source of Errors
Types of Errors
Methods of minimizing errors
Test for rejection of data
Significant Level
Rounding of Figures
References
States of matter and properties of matterJILSHA123
States of matter and properties of matter, latent heat, vapour pressure, aerosols - inhalers, sublimation critical point, eutectic mixtures, gas laws, Gibbs phase rule, crystalline structures, 3rd b.pharmacy, sanjo college of pharmaceutical studies, palakkad, kerala
Henry Law, Its Limitation and Active MassVinod Dahiya
https://youtu.be/rxmovBZQF6g
In this video you will study about Henry Law, Its limitations, What is Active Maas, how it is calculated with the help of example
This presentation gives us idea about Gravimetric Analysis which is widely used in chemistry. Hope This Helps !
For More Information - 19103083@student.hindustanuniv.ac.in
The fundamentals of chemical equilibrium including Le Chatier's Principle and solved problems for heterogeneous and homogeneous equilibrium.
**More good stuff available at:
www.wsautter.com
and
http://www.youtube.com/results?search_query=wnsautter&aq=f
pH is a measure of the acidity or basicity of a solution. It is defined as the cologarithm of the activity of dissolved hydrogen ions (H+). Hydrogen ion activity coefficients cannot be measured experimentally, so they are based on theoretical calculations. The pH scale is not an absolute scale; it is relative to a set of standard solutions whose pH is established by international agreement.
This slide completely describes you about the stuff include in it and also everything about chemical engineering. Fluid Mechanics. Thermodynamics. Mass Transfer Chemical Engineering. Energy Engineering, Mass Transfer 2, Heat Transfer,
This unit includes: rate of a chemical reaction, graphs,, unit of rate, average rate& instantaneous rate,. factors influuncing rate of a reaction, Rate expression & rate constant, Order & molecularity of a reaction,, initiall rate method & integrated rate law equations, numerical problems,, Half life period, Pseudo first order reaction, Temperature of rate of reaction, Activation energy, collision frequency & effective collision, Collision theory, Arrhenius equation,, effect of catalyst on rate of reaction, numerical problems
Introduction
error, accuracy, precision
Source of Errors
Types of Errors
Methods of minimizing errors
Test for rejection of data
Significant Level
Rounding of Figures
References
States of matter and properties of matterJILSHA123
States of matter and properties of matter, latent heat, vapour pressure, aerosols - inhalers, sublimation critical point, eutectic mixtures, gas laws, Gibbs phase rule, crystalline structures, 3rd b.pharmacy, sanjo college of pharmaceutical studies, palakkad, kerala
Henry Law, Its Limitation and Active MassVinod Dahiya
https://youtu.be/rxmovBZQF6g
In this video you will study about Henry Law, Its limitations, What is Active Maas, how it is calculated with the help of example
Law of mass action, criteria of chemical equilibrium, application of law of mass action to homogenous and heterogeneous equilibrium, factors affecting equilibrium, Gibb’s free energy change for chemical equilibria, Le-Chatelier principle and its industrial application.
2. Chemical equilibrium: law of mass action, determination of equilibrium constant, heterogeneous equilibrium and homogenous equilibrium, le chateliar principle and vant hoff equation
English chapter we are going to discuss about the reduction in the oxidation their heat evolution changes occurrence and about their reducing agent and oxidization
My notes for A2 Chemistry Unit 4, typed by me and compiled from various sources. I cannot trace back where everything came from but again shall any intellectual property rights be violated, please comment /contact me and I will try my best to rectify them as soon as possible.
Equilibrium and types of equilibrium,Physical Equilibrium ,Chemical Equilibrium ,Law of Mass Action,The Equilibrium Constant (K),Relationship between Kc and Kp
Define and explain chemical equilibrium Include the defenition o.pdfalokkesh
Define and explain chemical equilibrium? Include the defenition of reactants and products
Define and explain chemical equilibrium? Include the defenition of reactants and products
Solution
In a chemical reaction, chemical equilibrium is the state in which both reactants and products are
available at concentrations which have no further inclination to change with time. Usually, this
state comes about when the forward reaction continues at an indistinguishable rate from the
reverse reaction. The reaction rates of the forward and backward reactions are, for the most part,
not zero, but rather equal. In this way, there are no net changes in the concentrations of the
reactant(s) and product(s).
Reactant:
The substances that outcome from the recombination of molecules is known as the products of
the reaction. At the point when chemical reactions are written down, the reactants are written on
the left side, in a similar way to a math equation; one reactant in addition to another.
Product:
Products are the species formed from chemical reactions. Amid a chemical reaction, reactants are
transformed into products in the wake of going through a high vitality transition state.
Simply the substances that are formed after the reactions of reactant, due to making of new
bonds in between the atoms/ions/molecules/compounds..
A complete introduction to all things chemical kinetics designed specifically for non-chemists to understand. Fair warning: The presentation is very rigorous in its mathematical treatment, which is makes it a useful reference for looking up equations, but this can unfortunately make it less polished and flowing then a typical presentation. I tried my best to spell everything out clearly, but despite my best efforts it's still pretty dense.
Standardization of Acids and bases.
2. Determination of pKa and pKb values
3. Preparation of solutions of different pH & buffer capacities.
4. Determination of phase diagram of binary systems.
Determination of distribution coefficients.
6. Determination of molecular weight by Victor Meyer’s Method.
7. Determination of heats of solutions by measuring solubility as a function of temperature
(Van’t Hoff equation.)
A. Qualitative analysis of metal ions and acid radicals:
Na+, K+, Ca+2, Ag+, Mn+4, Fe+2, Fe+3, Co+2, Mg+2, Al+3, Cu+2 and acid radicals CO3,
halides, Citrate
SO4-2, NO3-, SO3-2, etc.
B. Identification of inorganic drugs in their formulation:
1. Ca+2, from supplied preparations
2. Fe+2 from supplied preparations
3. Al+3 from supplied preparations
4. Mg+2 from supplied preparations
5. K+ from supplied reparations
6. Na+ from supplied preparations
C. Conversion of different water insoluble or sparingly soluble drugs into water soluble
forms:
1. Na/ K – salicylate from salicylic acid
2. Na/ K – benzoate from benzoic acid
3. Na/ K – citrate from citric acid
Plants in complimentary and traditional systems of medicine MANIKanikImran Nur Manik
Plants in complimentary and traditional systems of medicine: Introduction-different types of
alternative systems of treatments (e.g. Ayurvedic, Unani and Homeopathic medicine). Contribution
of traditional drugs to modern medicines. Details of some common indigenous traditional drugs:
Punarnava, Vashaka, Anantamul, Arjuna, Chirata, Picrorhiga, Kalomegh, Amla, Asoka, Bahera,
Haritaki, Tulsi, Neem, Betel nut, Joan, Karela, Shajna, Carrot, Bael, Garlic, Jam and Madar.
Crude drugs: A general view of their origin, distributions, cultivation, collection, drying and
storage, commerce and quality control.
a) Classification of drugs.
b) Preparation of drugs for commercial market
c) Evaluation of crude drugs.
d) Drug adulteration.
Carbohydrate and related compounds: Sugars and sugar containing drugs. Sucrose,
dextrose, glucose, fructose etc. Polysaccharides and polysaccharide containing drugs,
Starches, dextrins etc. Gums and mucilages, tragacanth, acacia, sterculia, sodium
alginate, agar and cellulose.
Volatile oils and related terpenoids-Methods of obtaining volatile oils,
chemistry, their medicinal and commercial uses, biosynthesis of some important
volatile oils used as drugs.
Title: Sense of Smell
Presenter: Dr. Faiza, Assistant Professor of Physiology
Qualifications:
MBBS (Best Graduate, AIMC Lahore)
FCPS Physiology
ICMT, CHPE, DHPE (STMU)
MPH (GC University, Faisalabad)
MBA (Virtual University of Pakistan)
Learning Objectives:
Describe the primary categories of smells and the concept of odor blindness.
Explain the structure and location of the olfactory membrane and mucosa, including the types and roles of cells involved in olfaction.
Describe the pathway and mechanisms of olfactory signal transmission from the olfactory receptors to the brain.
Illustrate the biochemical cascade triggered by odorant binding to olfactory receptors, including the role of G-proteins and second messengers in generating an action potential.
Identify different types of olfactory disorders such as anosmia, hyposmia, hyperosmia, and dysosmia, including their potential causes.
Key Topics:
Olfactory Genes:
3% of the human genome accounts for olfactory genes.
400 genes for odorant receptors.
Olfactory Membrane:
Located in the superior part of the nasal cavity.
Medially: Folds downward along the superior septum.
Laterally: Folds over the superior turbinate and upper surface of the middle turbinate.
Total surface area: 5-10 square centimeters.
Olfactory Mucosa:
Olfactory Cells: Bipolar nerve cells derived from the CNS (100 million), with 4-25 olfactory cilia per cell.
Sustentacular Cells: Produce mucus and maintain ionic and molecular environment.
Basal Cells: Replace worn-out olfactory cells with an average lifespan of 1-2 months.
Bowman’s Gland: Secretes mucus.
Stimulation of Olfactory Cells:
Odorant dissolves in mucus and attaches to receptors on olfactory cilia.
Involves a cascade effect through G-proteins and second messengers, leading to depolarization and action potential generation in the olfactory nerve.
Quality of a Good Odorant:
Small (3-20 Carbon atoms), volatile, water-soluble, and lipid-soluble.
Facilitated by odorant-binding proteins in mucus.
Membrane Potential and Action Potential:
Resting membrane potential: -55mV.
Action potential frequency in the olfactory nerve increases with odorant strength.
Adaptation Towards the Sense of Smell:
Rapid adaptation within the first second, with further slow adaptation.
Psychological adaptation greater than receptor adaptation, involving feedback inhibition from the central nervous system.
Primary Sensations of Smell:
Camphoraceous, Musky, Floral, Pepperminty, Ethereal, Pungent, Putrid.
Odor Detection Threshold:
Examples: Hydrogen sulfide (0.0005 ppm), Methyl-mercaptan (0.002 ppm).
Some toxic substances are odorless at lethal concentrations.
Characteristics of Smell:
Odor blindness for single substances due to lack of appropriate receptor protein.
Behavioral and emotional influences of smell.
Transmission of Olfactory Signals:
From olfactory cells to glomeruli in the olfactory bulb, involving lateral inhibition.
Primitive, less old, and new olfactory systems with different path
The prostate is an exocrine gland of the male mammalian reproductive system
It is a walnut-sized gland that forms part of the male reproductive system and is located in front of the rectum and just below the urinary bladder
Function is to store and secrete a clear, slightly alkaline fluid that constitutes 10-30% of the volume of the seminal fluid that along with the spermatozoa, constitutes semen
A healthy human prostate measures (4cm-vertical, by 3cm-horizontal, 2cm ant-post ).
It surrounds the urethra just below the urinary bladder. It has anterior, median, posterior and two lateral lobes
It’s work is regulated by androgens which are responsible for male sex characteristics
Generalised disease of the prostate due to hormonal derangement which leads to non malignant enlargement of the gland (increase in the number of epithelial cells and stromal tissue)to cause compression of the urethra leading to symptoms (LUTS
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These lecture slides, by Dr Sidra Arshad, offer a quick overview of physiological basis of a normal electrocardiogram.
Learning objectives:
1. Define an electrocardiogram (ECG) and electrocardiography
2. Describe how dipoles generated by the heart produce the waveforms of the ECG
3. Describe the components of a normal electrocardiogram of a typical bipolar leads (limb II)
4. Differentiate between intervals and segments
5. Enlist some common indications for obtaining an ECG
Study Resources:
1. Chapter 11, Guyton and Hall Textbook of Medical Physiology, 14th edition
2. Chapter 9, Human Physiology - From Cells to Systems, Lauralee Sherwood, 9th edition
3. Chapter 29, Ganong’s Review of Medical Physiology, 26th edition
4. Electrocardiogram, StatPearls - https://www.ncbi.nlm.nih.gov/books/NBK549803/
5. ECG in Medical Practice by ABM Abdullah, 4th edition
6. ECG Basics, http://www.nataliescasebook.com/tag/e-c-g-basics
Prix Galien International 2024 Forum ProgramLevi Shapiro
June 20, 2024, Prix Galien International and Jerusalem Ethics Forum in ROME. Detailed agenda including panels:
- ADVANCES IN CARDIOLOGY: A NEW PARADIGM IS COMING
- WOMEN’S HEALTH: FERTILITY PRESERVATION
- WHAT’S NEW IN THE TREATMENT OF INFECTIOUS,
ONCOLOGICAL AND INFLAMMATORY SKIN DISEASES?
- ARTIFICIAL INTELLIGENCE AND ETHICS
- GENE THERAPY
- BEYOND BORDERS: GLOBAL INITIATIVES FOR DEMOCRATIZING LIFE SCIENCE TECHNOLOGIES AND PROMOTING ACCESS TO HEALTHCARE
- ETHICAL CHALLENGES IN LIFE SCIENCES
- Prix Galien International Awards Ceremony
Knee anatomy and clinical tests 2024.pdfvimalpl1234
This includes all relevant anatomy and clinical tests compiled from standard textbooks, Campbell,netter etc..It is comprehensive and best suited for orthopaedicians and orthopaedic residents.
Report Back from SGO 2024: What’s the Latest in Cervical Cancer?bkling
Are you curious about what’s new in cervical cancer research or unsure what the findings mean? Join Dr. Emily Ko, a gynecologic oncologist at Penn Medicine, to learn about the latest updates from the Society of Gynecologic Oncology (SGO) 2024 Annual Meeting on Women’s Cancer. Dr. Ko will discuss what the research presented at the conference means for you and answer your questions about the new developments.
Acute scrotum is a general term referring to an emergency condition affecting the contents or the wall of the scrotum.
There are a number of conditions that present acutely, predominantly with pain and/or swelling
A careful and detailed history and examination, and in some cases, investigations allow differentiation between these diagnoses. A prompt diagnosis is essential as the patient may require urgent surgical intervention
Testicular torsion refers to twisting of the spermatic cord, causing ischaemia of the testicle.
Testicular torsion results from inadequate fixation of the testis to the tunica vaginalis producing ischemia from reduced arterial inflow and venous outflow obstruction.
The prevalence of testicular torsion in adult patients hospitalized with acute scrotal pain is approximately 25 to 50 percent
2. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 1
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
Reversible Reactions
Not all chemical reactions proceed to completion. In most reactions, two or more substances react to
form products which themselves react to give back the original substances. Thus, A and B may react to
form C and D which react together to reform A and B.
A + B C + D (Forward reaction)
A + B C + D (Reverse reaction)
Definition: A reaction which can go in the forward and backward direction simultaneously is called a
reversible reaction. Such a reaction is represented by writing a pair of arrows between the reactants and
products.
A + B ⇌C + D
The arrow pointing right indicates the forward reaction, while that pointing left shows the reverse
reaction.
A few common examples of reversible reactions are listed below:
2NO2 (g) ⇌ N2O4 (g)
H2 (g) + I2 (g) ⇌2HI (g)
PCl5 (s) ⇌ PCl3 (s) + Cl2 (g)
CaCO3 (s) ⇌ CaO (s) + CO2 (g)
Chemical Equilibrium
Let us consider the reaction,
A + B ⇌ C + D
If we start with reactants A and B in a closed vessel, the forward reaction will proceed to form products
C and D. The concentrations of A and B decrease and those of C and D increase continuously. As a
result, the rate of forward reaction also decreases and the rate of the reverse reaction increases.
Eventually, the rate of the two opposing reactions equals and the system attains a state of equilibrium.
Thus, chemical equilibrium may be defined as: the state of a reversible reaction when the two opposing
reactions occur at the same rate and the concentrations of reactants and products do not change with
time.
Figure: At equilibrium the forward reaction rate equals the reverse reaction rate.
Md.
Imran
Nur
Manik
3. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 2
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
Types of Chemical Equilibrium
Depending on the phases of reaction species, chemical equilibrium can be divided into two types. They
are-
1. Homogeneous Equilibria: The equilibrium reaction in which all the reactants and products
remain in the same phase is called a homogeneous equilibrium. For example,
i. H2 (g) + I2 (g) ⇌ 2HI (g), ii. N2O4(g) ⇌ 2NO2(g)
iii. CH3COOH(l) + C2H5OH(l) ⇌CH3COOC2H5(l) + H2O(l)
2. Heterogeneous Equilibria: The equilibrium reaction in which all the reactants and products are
not in the same phase is called a heterogeneous equilibrium. For example,
i. CaCO3 (s) ⇌ CaO (s) + CO2 (g) ii. NH4Cl(s) ⇌NH3(g) + HCl(g)
iii. 3Fe(s) + 4H2O(g) ⇌Fe3O4(s) + 4H2(g)
A more formal look at dynamic equilibria
Thinking about reaction rates
This is the equation for a general reaction which has
reached dynamic equilibrium:
A + B ⇌ C + D
How did it get to that state? Let's assume that we started
with A and B. At the beginning of the reaction, the
concentrations of A and B were at their maximum. That
means that the rate of the reaction was at its fastest.
As A and B react, their concentrations fall. That means that
they are less likely to collide and react, and so the rate of
the forward reaction falls as time goes on.
In the beginning, there isn't any C and D, so there
can't be any reaction between them. As time goes
on, though, their concentrations in the mixture
increase and they are more likely to collide and
react.
With time, the rate of the reaction between C and D
increases:
Eventually, the rates of the two reactions will
become equal. A and B will be converting into C
and D at exactly the same rate as C and D convert
back into A and B again.
At this point there won't be any further change in the
amounts of A, B, C and D in the mixture. As fast as
something is being removed, it is being replaced
again by the reverse reaction. We have reached a
position of dynamic equilibrium.
Furthermore, the true equilibrium of a reaction can
be attained from both sides. Thus, the equilibrium
concentrations of the reactants and products are the
same whether we start with A and B or, C and D.
Md.
Imran
Nur
Manik
4. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 3
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
Chemical Equilibrium is Dynamic Equilibrium
We know that when a reaction say A + B ⇌ C + D attains equilibrium, the concentrations of A and B
as also of C and D remain constant with time. Apparently it appears that the equilibrium is dead. But it
is not so. The equilibrium is dynamic. Actually, the forward and the reverse reactions are taking place at
equilibrium but the concentrations remain unchanged.
Figure: Molecules of A and B colliding to give C and D, and those of C and D colliding to give A and B.
The dynamic nature of chemical equilibrium can be easily understood on the basis of the kinetic
molecular model. The molecules of A and B in the equilibrium mixture collide with each other to form
C and D. Likewise, C and D collide to give back A and B. The collision of molecules in a closed system
is a ceaseless phenomenon. Therefore, collisions of A and B giving C and D (Forward reaction) and
collisions of C and D giving back A and B (reverse reaction) continue to occur even at equilibrium while
concentrations remain unchanged.
Characteristics of Chemical Equilibrium
(1) Constancy of concentrations
When a chemical equilibrium is established in a closed vessel at constant temperature, concentrations of
the various species in the reaction mixture become constant.
The reaction mixture at equilibrium is called equilibrium mixture.
The concentrations at equilibrium are called equilibrium concentrations. The equilibrium concentrations
are represented by square brackets [ ]. Thus, [A] denotes the equilibrium concentration of substance A
in moles per liter.
(2) Equilibrium can be initiated from either side
The state of equilibrium of a reversible reaction can be approached whether we start with reactants or
products. For example, the equilibrium is established if we start the reaction with H2 and I2 or, 2HI.
H2(g) + I2(g) ⇌ 2HI(g)
Figure: The left graph
depicts the attainment
of equilibrium for start
with 2HI. The right
graph shows how
equilibrium is attained
for start with H and I.
Equilibrium
concentrations in both
cases are the same.
Md.
Imran
Nur
Manik
5. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 4
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
(3) Equilibrium cannot be attained in an open vessel
The equilibrium can be established only if the reaction vessel is closed and no part of the reactants or
products is allowed to escape out. In an open vessel, the gaseous reactants and/or products may
escape into the atmosphere leaving behind no possibility of attaining equilibrium.
However, the equilibrium can be attained when all the reactants and products are in the same phase.
e.g. ethanol and ethanoic acid.
(4) A catalyst cannot change the equilibrium point
When a catalyst is added to a system in equilibrium, it speeds up the rate of both the forward and the
reverse reaction to an equal extent. Therefore, a catalyst cannot change the equilibrium point except
that it is achieved earlier. This enhances the rate of the reaction.
(5) Value of equilibrium constant does not depend upon the initial concentration of reactants
It has been found that equilibrium constant must be the same when the concentrations of reacting
species are varied over a wide range.
(The equilibrium constant of a chemical reaction is the value of the reaction quotient when the
reaction has reached equilibrium. The equilibrium constant always has the same value if the
temp.is constant, irrespective of the amounts of reactants)
Law of Mass Action
Two Norwegian chemists, Guldberg and Waage, studied experimentally a large number of equilibrium
reactions. In 1864, they postulated a generalisation called the Law of Mass action.
It states that: the rate of a chemical reaction is proportional to the active masses of the reactants.
Here the term „active mass‟ means the molar concentration i.e., number of moles per litre.
It is expressed by enclosing the formula of the substance in square brackets.
Mathematical Expression of Law of Mass Action
Let us consider a general reaction
A + B ⇌ C + D
And let [A], [B], [C] and [D] represent the molar concentrations of A, B, C and D at the equilibrium
point.
According to the Law of Mass action,
Rate of forward reaction [A][B] = k1[A] [B]
Rate of reverse reaction [C][D] = k2[C][D]
Where, k1 and k2 are rate constants for the forward and reverse reactions.
At equilibrium, rate of forward reaction = rate of reverse reaction.
Therefore, k1[A][B] = k2[C][D]
)1...(................................
[A][B]
[C][D]
,
2
1
k
k
or
At any specific temperature k1/k2 is constant since both k1 and k2 are constants. The ratio k1/k2 is
called equilibrium constant and is represented by the symbol Kc or simply k. The subscript „c‟ indicates
that the value is in terms of concentrations of reactants and products.
Md.
Imran
Nur
Manik
6. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 5
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
The equation (1) may be written as; ionsConcentratReactant
ionsConcentratProduct
[A][B]
[C][D]
,consantmEquilibriu
Ck
Consider the following reaction,
Coefficient of A 2A ⇌C+D
Here, the forward reaction is dependent on the collisions of each of two A molecules.
Therefore, for writing the equilibrium constant expression, each molecule is regarded as a separate
entity i.e.,
A + A ⇌ C + D
Then the equilibrium constant expression is
AtCoefficientoEqualP
ionsConcentratProduct
[A]
[C][D]
[A][A]
[C][D]
2
ower
kC
As a general rule, if there are two or more molecules of the same substance in the chemical equation,
its concentration is raised to the power equal to the numerical coefficient of the substance in the
equation.
Equilibrium Constant Expression for a Reaction in General Terms
The general reaction may be written as
aA + bB ⇌ cC + dD
Where, a, b, c and d are numerical coefficients of the substance, A, B, C and D respectively.
The equilibrium constant expression is
ba
dc
[B][A]
[D][C]
CK
Where, Kc is the equilibrium constant. The general definition of the equilibrium constant may thus be
stated as: the product of the equilibrium concentrations of the products divided by the product of the
equilibrium concentrations of the reactants, with each concentration term raised to a power equal to the
coefficient of the substance in the balanced equation.
PROBLEM: Give the equilibrium constant expression for the reaction, N2(g) + H2(g) ⇌NH3(g)
PROBLEM: Write the equilibrium constant expression for the reaction, N2O5(g) ⇌ NO2(g) + O2 (g)
Equilibrium Constant Expression in Terms of Partial Pressures
When all the reactants and products are gases, we can also formulate the equilibrium constant
expression in terms of partial pressure. The relationship between the partial pressure (p) of any one gas
in the equilibrium mixture and the molar concentration follows from the general ideal gas equation
RT
V
n
por,nRTPV
The quantity n/V is the number of moles of the gas per unit volume and is simply the molar
concentration. Thus, p = (Molar concentration)RT
i.e., the partial pressure of a gas in the equilibrium mixture is directly proportional to its molar
concentration at a given temperature. Therefore, we can write the equilibrium constant expression in
terms of partial pressure instead of molar concentrations.
Md.
Imran
Nur
Manik
7. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 6
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
For a general reaction,
l L(g) + mM(g) ⇌ yY(g) + zZ(g)
m
M
l
L
z
Z
y
Y
][p][p
][p][p
PK
Here, Kp is the equilibrium constant, the subscript p referring to partial pressure. Partial pressures are
expressed in atmospheres.
Relationship between Kp And Kc
Let us consider a general reaction,
jA + kB ⇌ l C + mD
Where, j, k, l and m are numerical coefficients of the substance, A, B, C and D respectively.
And let [A], [B], [C] and [D] represent the molar concentrations of A, B, C and D at the equilibrium
point.
The equilibrium constant expression is
)1......(..............................
[B][A]
[D][C]
kj
ml
CK
Where, all reactants and products are gases. We can write the equilibrium constant expression in terms
of partial pressures as-
)2...(..............................k
B
j
A
m
D
l
C
P
][p][p
][p][p
K
Assuming that all these gases constituting the equilibrium mixture obey the ideal gas equation, the
partial pressure (p) of a gas is-
RT
V
n
p
Where, n/V is the molar concentration. Thus, the partial pressures of individual gases A, B, C and D
are: PA = [A] RT; PB = [B] RT; PC = [C] RT; PD = [D] RT
Substituting these values in equation (2), we have
kj
ml
P
RTRT
RTRT
K
)([B])([A]
)([D])([C]
kj
ml
kj
ml
P
kj
ml
P
RT
RT
Kor
RTRT
RTRT
Kor
)(
)(
[B][A]
[D][C]
,
).()(
).()(
[B][A]
[D][C]
,
kj
ml
kj
ml
)3.(..............................)(
)(,
)(, )()(
n
CP
n
CP
kjml
CP
RTKK
RTKKor
RTKKor
Where, n = (l + m) – (j + k), is the difference in the sums of the co-efficients for the gaseous products
and reactants. From the expression (3) it is clear that when n = 0, Kp = Kc.
Md.
Imran
Nur
Manik
8. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 7
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
Mathematical Problem
At 500°C, the reaction between N2 and H2 to form ammonia has Kc = 6.010–2. What is the
numerical value of Kp for the reaction?
Units of Equilibrium Constant
In the equilibrium expression for a particular reaction, the concentrations are given in units of
moles/litre or mol/L, and the partial pressure are given in atmospheres (atm).
The units of Kc and Kp, depend on the specific reaction.
(1) When the total number of moles of reactants and products are equal.
In the equilibrium expression of these reactions, the concentration or pressure terms in the numerator
and denominator exactly cancel out. Thus, Kc or Kp for such a reaction is without units.
Taking example of the reaction,
H2(g) + I2(g) ⇌2HI(g)
)(
l/L)(mol/L)(mo
(mol/L)
][I][H
[HI] 2
22
2
unitsNoKC
)(
))((
)(
))((
)( 22
22
unitsNo
atmatm
atm
pp
p
K
IH
HI
P
(2) When the total number of moles of the reactants and products are unequal.
In such reactions, KC will have units (mol/litre)n and Kp will have units (atm)n, where n is equal to the
total number of moles of products minus the total number of moles of reactants. Thus for the reaction,
N2O4(g) ⇌ 2NO2(g)
(mol/L)
(mol/L)
(mol/L)
]O[N
][NO 2
42
2
2
CK
)(
)(
)(
)(
)( 22
42
2
atm
atm
atm
p
p
K
ON
NO
P
Thus units for KC are mol/L and KP units are atm.
For the reaction
N2(g) + 3H2(g) ⇌2NH3(g)
Units for KC are and KP may be found as follows
22
3
2
3
22
2
3
l/L)(mol/L)(mo
(mol/L)
]][H[N
][NH
LmolKC
2
3
22
))((
)(
))((
)(
22
3
atm
atmatm
atm
pp
p
K
NH
NH
P
Thus, units of KC are mol–2 L2 and units of Kp are atm–2.
It may be noted, however, that the units are often omitted when equilibrium constants are listed in tables.
Md.
Imran
Nur
Manik
9. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 8
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
Homogeneous equilibria
Liquid Systems (Liquid equilibria)
The chemical equilibrium in which all the reactants and products are in the liquid phase, are referred to
as the liquid equilibria.
Like the gas-phase equilibria, the liquid equilibria are also called homogeneous equilibria.
For example, alcohols and acids react to form esters and water.
CH3COOH(l) + C2H5OH(l) ⇌ CH3COOC2H5(l) + H2O(l)
Let us start with a mole of acetic acid and b moles of alcohol.
If x moles of acetic acid react with x moles of ethyl alcohol, x moles of ester and x moles of water are
produced when the equilibrium is established.
Now the moles present at equilibrium are:
CH3COOH = (a – x) moles
C2H5OH = (b – x) moles
CH3COOC2H5 = x moles
H2O = x moles
CH3COOH(l) + C2H5OH(l) ⇌ CH3COOC2H5(l) + H2O(l)
(a – x) (b – x) x x
If V litter be the total volume of the equilibrium mixture, the concentrations of the various species are:
V
x
V
x
V
xb
V
xa
]OH[
]HCOOCCH[
]OHHC[
]OOHCH[
2
523
52
3
The equilibrium constant expression may be written as
xbxa
x
Kor
V
xb
V
xa
V
x
V
x
K
2
,
It may be noted that the volume terms V in the numerator and denominator cancel out. In liquid
systems when there is a change in the number of moles as a result of the reaction, it is necessary to
consider the volume V while calculating the equilibrium constant K.
Heterogeneous Equilibria
Chemical equilibria in which the reactants and products are not all in the same
phase is called heterogeneous equilibria.
Example: The decomposition of calcium carbonate upon heating to form calcium
oxide and carbon dioxide.
If the reaction is carried in a closed vessel, the following equilibrium is established.
CaCO3(s) ⇌ CaO(s) + CO2(g)
Md.
Imran
Nur
Manik
10. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 9
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
Le Chatelier‟s Principle
In 1884, the French Chemist Henry Le Chatelier proposed a general principle which applies to all
systems in equilibrium. The principle states that-
“When a system is at equilibrium a change in any one of the factors upon which the equilibrium
depends will cause the equilibrium to shift in a direction such that the effect of the change is
diminished.”
There are three ways in which the change can be caused on a chemical equilibrium:
(1) Changing the concentration of a reactant or product.
(2) Changing the pressure (or volume) of the system.
(3) Changing the temperature.
Thus, when applied to a chemical reaction in equilibrium, Le Chatelier‟s principle can be
stated as: if a change in concentration, pressure or temperature is caused to a chemical reaction in
equilibrium, the equilibrium will shift to the right or the left so as to minimize the change.
Effect of a Change in Concentration
We can restate Le Chatelier‟s principle for the special case of concentration changes: when
concentration of any of the reactants or products is changed, the equilibrium shifts in a direction so as
to reduce the change in concentration that was made.
A change in the concentration of a reactant or product can be effected by the addition or removal of
that species. Let us consider a general reaction,
A + B ⇌ C
When a reactant, say, A is added at equilibrium, its concentration is increased. The forward reaction
alone occurs momentarily. According to Le Chatelier‟s principle, a new equilibrium will be established
so as to reduce the concentration of A. Thus, the addition of A causes the equilibrium to shift to right.
This increases the concentration (yield) of the product C.
Following the same line of argument, a decrease in the concentration of A by its removal from the
equilibrium mixture, will be undone by shift to the equilibrium position to the left. This reduces the
concentration (yield) of the product C.
Let us illustrate the effect of change of concentration on a system at equilibrium by taking example of
the ammonia synthesis reaction:
N2(g) + 3H2(g) ⇌ 2NH3(g)
Md.
Imran
Nur
Manik
11. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 10
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
When N2 (or H2) is added to the equilibrium already in existence (equilibrium I), the equilibrium will shift
to the right so as to reduce the concentration of N2 (Le Chatelier‟s principle). The concentration of NH3
at the equilibrium II is more than at equilibrium I. The results in a particular case after the addition of
one mole/litre are given below.
Obviously, the addition of N2 (a reactant) increases the concentration of NH3, while the concentration
of H2 decreases. Thus, to have a better yield of NH3, one of the reactants should be added in excess.
Effect of a Change in Pressure
To predict the effect of a change of pressure, Le Chatelier‟s principle may be stated as: when pressure
is increased on a gaseous equilibrium reaction, the equilibrium will shift in a direction which tends to
decrease the pressure.
The pressure of a gaseous reaction at equilibrium is determined by the total number of molecules it
contains. If the forward reaction proceeds by the reduction of molecules, it will be accompanied by a
decrease of pressure of the system and vice versa.
Let us consider a reaction,
A + B ⇌ C
The combination of A and B produces a decrease of number of molecules while the decomposition of C
into A and B results in the increase of molecules. Therefore, by the increase of pressure on the
equilibrium it will shift to right and give more C. A decrease in pressure will cause the opposite effect.
The equilibrium will shift to the left when C will decompose to form more of A and B.
The reactions in which the number of product molecules is equal to the number of reactant molecules,
are unaffected by pressure changes.
For example, H2 (g) + I2 (g)⇌ 2HI (g)
In such a case, the system is unable to undo the increase or decrease of pressure.
In light of the above discussion, we can state a general rule to predict the effect of pressure changes on
chemical equilibria.
The increase of pressure on a chemical equilibrium shifts it in that direction in which the number of
molecules decreases and vice-versa.
Md.
Imran
Nur
Manik
12. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 11
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
Effect of a Change in Temperature
Chemical reactions consist of two opposing reactions. If the forward reaction proceeds by the evolution
of heat (exothermic), the reverse reaction occurs by the absorption of heat (endothermic).
Both these reactions take place at the same time and equilibrium exists between the two. If temperature
of a reaction is raised, heat is added to the system. The equilibrium shifts in a direction in which heat is
absorbed in an attempt to lower the temperature. Thus, the effect of temperature on an equilibrium
reaction can easily be predicted by the following version of the Le Chatelier‟s principle.
When temperature of a reaction is increased, the equilibrium shifts in a direction in which heat is
absorbed.
Let us consider an exothermic reaction,
A + B ⇌ C + heat
When the temperature of the system is increased, heat is supplied to it from outside. According to Le
Chatelier‟s principle, the equilibrium will shift to the left which involves the absorption of heat. This
would result in the increase of the concentration of the reactants A and B.
In an endothermic reaction the increase of temperature will shift the equilibrium to the right as it
involves the absorption of heat.
X + Y + heat ⇌ Z
This increases the concentration of the product Z.
In general, we can say that the increase of temperature favors the reverse change in an exothermic
reaction and the forward change in an endothermic reaction.
Md.
Imran
Nur
Manik
13. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 12
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
Formation of Ammonia from N2 and H2
The synthesis of ammonia from nitrogen and hydrogen is an exothermic reaction.
N2 + 3H2 ⇌ 2NH3 + 22.2 kcal
When the temperature of the system is raised, the equilibrium will shift from right-to-left which absorbs
heat (Le Chatelier‟s principle). This results in the lower yield of ammonia. On the other hand, by
lowering the temperature of the system, the equilibrium will shift to the right which evolves heat in an
attempt to raise the temperature. This would increase the yield of ammonia. But with decreasing
temperature, the rate of reaction is slowed down considerably and the equilibrium is reached slowly.
Thus, in the commercial production of ammonia, it is not feasible to use temperature much lower than
500°C. At lower temperature, even in the presence of a catalyst, the reaction proceeds too slowly to be
practical.
Conditions for Maximum Yield in Industrial Processes
With the help of Le Chatelier‟s principle we can work out the optimum conditions for securing the
maximum yield of products in industrial processes.
Synthesis of Ammonia (Haber Process)
The manufacture of ammonia by Haber process is represented by the equation-
N2(g) + 3H2(g) ⇌ 2NH3(g) + 22.0 kcal
A look at the equation provides the following information:
(a) The reaction is exothermic
(b) The reaction proceeds with a decrease in the number of moles.
(1) Low temperature. By applying Le Chatelier‟s principle, low temperature will shift the equilibrium to
the right. This gives greater yield of ammonia. In actual practice a temperature of about 450°C is used
when the percentage of ammonia in the equilibrium mixture is 15.
(2) High pressure. High pressure on the reaction at equilibrium favors the shift of the equilibrium to the
right. This is so because the forward reaction proceeds with a decrease in the number of moles. A
pressure of about 200 atmospheres is applied in practice.
(3) Catalyst. As already stated, low temperature is necessary for higher yield of ammonia. But at
relatively low temperatures, the rate of reaction is slow and the equilibrium is attained in a long time.
To increase the rate of reaction and thus quicken the attainment of equilibrium, a catalyst is used. Finely
divided iron containing molybdenum is employed in actual practice.
Molybdenum acts as a promoter that increases the life and efficiency of the catalyst.
Pure N2 and H2 gases are used in the process. Any impurities in the gases would poison the catalyst
and decrease its efficiency.
Md.
Imran
Nur
Manik
14. Chemical Equilibrium
Prepared By: Md. Imran Nur Manik; B.Pharm ;M.Pharm Page 13
manikrupharmacy@gmail.com; Lecturer; Department of Pharmacy; Northern University Bangladesh.
Manufacture of Sulphuric Acid (Contact Process)
The chief reaction used in the process is-
2SO2(g) + O2(g) ⇌ 2SO3(g) + 42 kcal
Following information is revealed by the above equation:
(a) The reaction is exothermic.
(b) The reaction proceeds with a decrease in number of moles.
On the basis of Le Chatelier‟s principle, the conditions for the maximum yield can be worked out as
below:
(1) Low temperature. Since the forward reaction is exothermic, the equilibrium will shift on the right at
low temperature. An optimum temperature between 400-450°C is required for the maximum yield of
sulphur trioxide.
(2) High pressure. Since the number of moles is decreased in the forward reaction, increase of pressure
will shift the equilibrium to the right. Thus, for maximum yield of SO3, 2 to 3 atmosphere pressure is
used.
(3) Catalyst. At the low temperature used in the reaction, the rate of reaction is slow and the equilibrium
is attained slowly. A catalyst is, therefore, used to speed up the establishment of the equilibrium.
Vanadium pentoxide, V2O5, is commonly used and it has replaced the earlier catalyst platinum asbestos
which was easily poisoned by the impurities present in the reacting gases. All samples, SO2 and O2
used for the manufacture of sulphuric acid must be pure and dry.
Manufacture of Nitric Acid (Birkeland-Eyde Process)
Nitric acid is prepared on a large scale by making use of the reaction
N2 (g) + O2 (g) ⇌ 2NO (g) – 43.2 kcal
The equation tells us that:
(a) The reaction proceeds with no change in the number of moles.
(b) The reaction is endothermic and proceeds by absorption of heat.
The favorable conditions for the maximum yield of NO are:
(1) High temperature. Since the forward reaction is endothermic, increase of temperature will favor it
(Le Chatelier‟s principle). Thus, a high temperature of the order of 3000°C is employed to get high
yield of nitric acid.
(2) No effect of pressure. Since the forward reaction involves no change in the number of moles, a
change in pressure has no effect on the equilibrium.
(3) High concentration. The formation of nitric oxide is favored by using high concentrations of the
reactants i.e. N2 and O2.
Md.
Imran
Nur
Manik