This document discusses chemical kinetics and rate of reactions. It defines chemical kinetics as the study of reaction rates and their mechanisms. It then discusses factors that influence reaction rates such as concentration, temperature, pressure, catalysts and more. It defines rate of reaction and discusses how to determine rates. It introduces reaction orders such as zero order, first order and second order reactions. Examples of each type of reaction order are provided along with the appropriate rate equations. Pseudo-first order reactions are also discussed.
a detailed description of the chapter chemical kinetics (physical chemistry) including different problems by Dr. Satyabrata Si from KIIT school of biotechnology
This is a lecture is a series on combustion chemical kinetics for engineers. The course topics are selections from thermodynamics and kinetics especially geared to the interests of engineers involved in combusition
a detailed description of the chapter chemical kinetics (physical chemistry) including different problems by Dr. Satyabrata Si from KIIT school of biotechnology
This is a lecture is a series on combustion chemical kinetics for engineers. The course topics are selections from thermodynamics and kinetics especially geared to the interests of engineers involved in combusition
Basic Terminology,Heat, energy and work, Internal Energy (E or U),First Law of Thermodynamics, Enthalpy,Molar heat capacity, Heat capacity,Specific heat capacity,Enthalpies of Reactions,Hess’s Law of constant heat summation,Born–Haber Cycle,Lattice energy,Second law of thermodynamics, Gibbs free energy(ΔG),Bond Energies,Efficiency of a heat engine
Introduction
Basis
Importance
Classification
Homogeneous catalysis
Mechanism
Example
Heterogeneous catalysis
Mechanism
Examples
Promoters
Catalytic Poisoning
Autocatalysis
Enzyme catalysis
Enzymes
References
Catalyst: -
The substances that alter the rate of a reaction but itself remains chemically unchanged at the end of the reaction is called a Catalyst.
The process is called Catalysis.
prop-
A catalyst cannot start the reaction by itself.
Catalytic activity increases as surface area of catalyst increases.
Catalysts are thermolabile, this effect is very well pronounced in enzymes.
Catalytic activity is maximum at a catalyst’s optimum temperature.
A catalyst does not alter the position of the equilibrium, instead it helps in achieving the equilibrium faster.
Chemical kinetics, also known as reaction kinetics, is the branch of physical chemistry that is concerned with understanding the rates of chemical reactions. It is to be contrasted with thermodynamics, which deals with the direction in which a process occurs but in itself tells nothing about its rate
lecture slide on:
Gibbs free energy and Nernst Equation, Faradaic Processes and Factors Affecting Rates of Electrode Reactions, Potentials and Thermodynamics of Cells, Kinetics of Electrode Reactions, Kinetic controlled reactions,Essentials of Electrode Reactions,BUTLER-VOLMER MODEL FOR THE ONE-STEP, ONE-ELECTRON PROCESS,Current-overpotential curves for the system, Mass Transfer by Migration And Diffusion,MASS-TRANSFER-CONTROLLED REACTIONS,
Discusses the chemical of slightly soluble compounds. Ksp and factors affecting solubility are included as well as solved problems.
**More good stuff available at:
www.wsautter.com
and
http://www.youtube.com/results?search_query=wnsautter&aq=f
Basic Terminology,Heat, energy and work, Internal Energy (E or U),First Law of Thermodynamics, Enthalpy,Molar heat capacity, Heat capacity,Specific heat capacity,Enthalpies of Reactions,Hess’s Law of constant heat summation,Born–Haber Cycle,Lattice energy,Second law of thermodynamics, Gibbs free energy(ΔG),Bond Energies,Efficiency of a heat engine
Introduction
Basis
Importance
Classification
Homogeneous catalysis
Mechanism
Example
Heterogeneous catalysis
Mechanism
Examples
Promoters
Catalytic Poisoning
Autocatalysis
Enzyme catalysis
Enzymes
References
Catalyst: -
The substances that alter the rate of a reaction but itself remains chemically unchanged at the end of the reaction is called a Catalyst.
The process is called Catalysis.
prop-
A catalyst cannot start the reaction by itself.
Catalytic activity increases as surface area of catalyst increases.
Catalysts are thermolabile, this effect is very well pronounced in enzymes.
Catalytic activity is maximum at a catalyst’s optimum temperature.
A catalyst does not alter the position of the equilibrium, instead it helps in achieving the equilibrium faster.
Chemical kinetics, also known as reaction kinetics, is the branch of physical chemistry that is concerned with understanding the rates of chemical reactions. It is to be contrasted with thermodynamics, which deals with the direction in which a process occurs but in itself tells nothing about its rate
lecture slide on:
Gibbs free energy and Nernst Equation, Faradaic Processes and Factors Affecting Rates of Electrode Reactions, Potentials and Thermodynamics of Cells, Kinetics of Electrode Reactions, Kinetic controlled reactions,Essentials of Electrode Reactions,BUTLER-VOLMER MODEL FOR THE ONE-STEP, ONE-ELECTRON PROCESS,Current-overpotential curves for the system, Mass Transfer by Migration And Diffusion,MASS-TRANSFER-CONTROLLED REACTIONS,
Discusses the chemical of slightly soluble compounds. Ksp and factors affecting solubility are included as well as solved problems.
**More good stuff available at:
www.wsautter.com
and
http://www.youtube.com/results?search_query=wnsautter&aq=f
The branch of chemistry, which deals with the study of reaction rates and their mechanisms, called chemical kinetics.
Thermodynamics tells only about the feasibility of a reaction whereas chemical kinetics tells about the rate of a reaction.
For example, thermodynamic data indicate that diamond shall convert to graphite but in reality the conversion rate is so slow that the change is not perceptible at all.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
This is a presentation by Dada Robert in a Your Skill Boost masterclass organised by the Excellence Foundation for South Sudan (EFSS) on Saturday, the 25th and Sunday, the 26th of May 2024.
He discussed the concept of quality improvement, emphasizing its applicability to various aspects of life, including personal, project, and program improvements. He defined quality as doing the right thing at the right time in the right way to achieve the best possible results and discussed the concept of the "gap" between what we know and what we do, and how this gap represents the areas we need to improve. He explained the scientific approach to quality improvement, which involves systematic performance analysis, testing and learning, and implementing change ideas. He also highlighted the importance of client focus and a team approach to quality improvement.
How to Create Map Views in the Odoo 17 ERPCeline George
The map views are useful for providing a geographical representation of data. They allow users to visualize and analyze the data in a more intuitive manner.
How to Split Bills in the Odoo 17 POS ModuleCeline George
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
2. • Rate of reaction
Factors influencing the rate of reaction:
Concentration
Temperature
Pressure
Solvent
Light
Catalyst
• Kinetics of various reactions
Zero order reactions
1st order reactions
• Theories of reaction rates (DELETED BY
CBSE FOR SESSION 2020-21)
Collision
Absolute reaction rate theory
4. Chemical Kinetics
Studies the rate of a chemical reactions & rate laws
a) Shows time needed for a given amount of the product
b) Shows amount of product in a given amount of time
c) Shows how to control the reaction
d) Guide towards the mechanism of a reaction
Factors affecting the rate of a reaction
(Temperature, pressure, concentration and catalyst)
Chemical kinetics is defined as the branch of chemistry which deals with the
study of the rate of chemical reactions and their mechanism.
5. Rate of Reaction
A B
“The rate of reactions is defined as the change in concentration of
any of reactant or products per unit time”
6. Rate of Reaction
Time taken
Time taken
Rateof reaction(r)
Amount of B produced
Rateof reaction(r)
Amount of Aconsumed
dt
Rateof reaction(r)
dx
7. = =
= =
- d[ A]
dt
d [ B ]
Rate of Reaction
A B
Rate of Reaction (r) = Rate of disappearance of A
Unit of Rate
Concentration/Time (Mole/litre)/sec mol l-1 s-1
d t
[ B ]
dt d t
= Rate of appearance of B
-[ A]
8. Rate of Reaction
A + B C + D
Rate of Reaction (r) = Rate of disappearance of A=
= Rate of disappearance of B =
= Rate of appearance of C =
= Rate of appearance of D =
d t
- d [ A ]
d [ C ]
d t
d t
- d [ B ]
d t
d [ D ]
12. nA + mB pC + qD
Rate of Reaction & Stoichiometry
= Rate of disappearance of B =
= Rate of appearance of C =
n d t
d [ A ]
Rate of Reaction (r) = Rate of disappearance of A =
1
1 d [ C ]
p d t
1 d [ B ]
m d t
= Rate of appearance of C =
1 d [ D ]
q d t
14. Factors influencing the rate of reaction
• Concentration
The rate of chemical reaction is proportional to
the concentration of the reacting species taking
part in reaction. Usually increase as reactant
increases.
• Temperature
The increase in temperature increases the
reaction rate. Actually, the energy of the
reactant increases with increase of T and so
will be the no. Of collisions.
It is observed , about 10oC rise in T makes
reaction rate double.
16. • Presence of Light: Some reactions known as photochemical reaction take
place in presence of light. So if intensity of light increases rate of reaction
increases.
• Surface Area: Increase in surface area provides more opportunity for the
reactants to come in contact or collide resulting in increased rate .
17. • Catalyst
Catalysts are the chemical substances which
increases rate of reaction without undergoing any
physical or chemical change. Presence of positive
catalyst also increases rate of reaction. Speed
chemical reactions
Catalyst and activation energy..
Toincrease the rate of a reaction you need to
increase the number of successful collisions.
One possible way of doing this is to provide
an alternative way for the reaction to happen
which has a lower activation energy.
Adding a catalyst has exactly this effect of
shifting the activation energy. A catalyst
provides an alternative route for the reaction.
That alternative route has a lower activation
energy.
18. Law Mass Action & Rate of Reaction
Law of mass action, first proposed by Guldberg & Waage
in 1867 and states that the rate at which a substance
reacts is proportional to its active mass, i.e., molar
concentration and the rate of a chemical reaction is
directly proportional to the product of the active masses or
molar concentrations of the reactants.
Rate = k [A]n [B]m
nA + mB Product
Rate [A]n [B]m
K is the rate constant
(Velocity constant, Velocity co-efficient or Specific reaction rate)
19. Rate Laws/Rate Equation
It is an expression showing the relationship between the
reaction rate and the concentrations of reactants
Rate = k [A]n [B]m
nA + mB Product
Rate [A]n [B]m
K is the rate constant
(Velocity constant, Velocity co-efficient or Specific reaction rate)
20. Rate Constant
Rate = k [A] [B]
A + B Product
Rate [A] [B]
If [A] = [B] = 1, then
Rate = k 1 1 = k
Thus, rate constant of a reaction may be defind as the rate of
reaction when the concentration of each of the reactants is
unity at a given temperature
Characteristics of k
• Different value for different reactions.
• A measure of rate of reaction.
• Independent of reactant concentration.
• Varies with change in temperature.
22. Order of a Reaction
The sum of the powers of concentrations in the rate law
Rate = k [A]m [B]n
nA + mB Product
Rate [A]m [B]n
Order of the reaction = m + n
m + n = 0, a zero order reaction
m + n = 1, a first order reaction
m + n = 2, a second order reaction
m + n = 3, a third order reaction
23. Molecularity of a Reaction
The number of reactant molecules involved in a reaction
A ProductUnimolecular reactions
Bimolecular reactions A + B Product
Termolecular reactions A + B + C Product
The decomposition of N2O5
N2O5
N2O5 + NO3
2N2O5
NO2 + NO3
3NO2 + O2
4NO2 + O2
(Slow)
(Fast)
24. Order of a reaction Molecularity of a reaction
Sum of the power of the
concentration terms in the rate
low.
Number of reacting species
involved in a simple reaction.
Experimentally determined. A theoretical concept
Can have fractional value. Always a whole number
Can have zero value. Do not have zero value
Can be changed with reaction
conditions.
Can not be changed with
reaction conditions.
For a complex reaction, the
slowest step gives the order of
the reaction
For a complex reaction, each
step has its own molecularity.
25. Zero Order Reaction
The rate is independent of reactant concentrations.
A Product
Initial conc. a 0
Final conc. a-x x
dt
- d[ A]
k[ A]0
R a t e
dt
k
d x
- d ( a x)
k ( a x)0
dt
dx kdt
t
x = kt or k
x
Unit of k = concentration per unit time
26. Examples of Zero Order Reaction
22 2
2
N O Pt
N
1
O
Photochemical reactions:
H2 (g) Cl2 (g) 2HCl(g)Sunlight
Heterogeneous reactions:
2HI Au
H I
2 2
2NH3 N2 3H2Pt
27. First Order Reaction
Rate is determined by the change of only one concentration term
A Product
Initial conc. a 0
Final conc. a-x x
dt
- d[ A]
k[ A]R a t e
d x
- d ( a x)
k ( a x)
dt dt
k d t
a x
d x
28. -ln (a-x) = kt + I, the constant of integration
a x
dx
kdt
If t = 0 and x = 0
I = -ln a
a
kt
a x
ln
First Order Reaction
k
1
ln
a
t a x
k
2.303
log
a
t a x
Unit of k = (time)-1
29. Examples of First Order Reaction
tV
10
Vt
Decomposition of N2O5 in CCl4 solution:
N2O5 2NO2 1
2 O2
k
2.303
log
V
Problem:
From the following data for the decomposition of N2O5 in CCl4
solution at 48 C, show that it is a first order reaction.
t (mins)
VCO2
10 15 20 25
6.30 8.95 11.40 13.5 34.75
30. Examples of First Order Reaction
0 5 15 25 45
37 29.8 19.6 12.3 5.0
Decomposition of H2O2 in aqueoussolution:
H O Pt
H O O
2 2 2
k
2.303
log
a
t 10
a x
Problem:
The catalysed decomposition of H2O2 in aqueous solution is
followed by titrating equal volume of sample solutions with
KMnO4 solution at different time interval give the following
results. Show that the reaction is a first order reaction.
t (mins)
VKMnO4
31. Acid Hydrolysis of a Ester:
t 10
V -Vt
3
V -V0
2 5 2 3 2 5
k
2.303
log
CH COOC H H O A
cid
CH COOH C H OH
Examples of First Order Reaction
Problem:
The following data was obtained on hydrolysis of methyl
acetate at 25 C in 0.2N HCl. Show that it is a first order
reaction.
t (mins)
Valkali
0 75 119 180
19.24 24.20 26.60 29.32 42.03
32. Inversion of Cane sugar:
C H O
tt 10
r r
6 12 6
C H O H O A
cid
C H O
12 22 11 2 6 12 6
k
2.303
log
r0 r
Examples of First Order Reaction
Problem:
The optical rotation of sucrose in 0.9N HCl at different time
interval is given in the following table. Show that it is first order
reaction.
t (mins) 0 7.18 18 27.05
Rotation +24.09 +21.4 +17.7 +15 -10.74
33. Pseudo-Order Reaction
The experimental order which is not the actual one observed.
A + B (excess) Product
R a t e k '
[ A ]
R a t e k [ A ] [ B ]
Where,k'
k[B]
Acid Hydrolysis of a Ester:
Acid
CH 3COOC 2H5 H2O CH3COOH C2H5OH
Inversion of Cane sugar:
6 12 6 C H OC H O H O A
cid
C H O
12 22 11 2 6 12 6
34. Second Order Reaction
Rate is determined by the change of two concentration term
2A Product
Initial conc. a 0
Final conc. a-x x
dt
- d[ A]
k[ A]2
R a t e
d t
d x
=
dt
- d[a x] = k(a-x)2
= kdt
d x
( a x ) 2
35. = kt + I
a x
1
(a x)2 = kdt
dx
If t = 0 and x = 0
I = 1/a = kt +
a x
1 1
a
x
t a(a x)
k
1
Unit of k = (conc.)-1 (time)-1
Second Order Reaction
36. Second Order Reaction
A + B Product
Initial conc. a b 0
Final conc. a-x b-x x
dx
dt
kdt
(a x)(b x)
dx
k(a x)(b x)
d[A]
d[B]
dx
k[A][B]
dt dt dt
Integrating,
ab x)
2.303
log
b(a x)
t(a b)
k
37. A + B Product
Initial conc. a a 0
Final conc. a-x a-x x
dx
dt
kdt
(a x)2
dx
k(a x)(a x) k(a x)2
d[A]
d[B]
dx
k[A][B]
dt dt dt
aa x
k
2.303
log
x
t
Integrating,
Second Order Reaction
38. Examples of Second Order Reaction
Alkali Hydrolysis of Ester:
x
t a(a x)
k
1
CH3COONa C2H5OHCH3COOC2 H5 NaOH
Problem:
A gram mole of ethyl acetate was hydrolysed with a gram
mole of NaOH and was studied by titrating 25ml of the
reaction mixture at different time interval against a standard
acid. Show that the reaction is of the second order.
t (mins)
Vacid
0 4 6 10 15 20
8.04 5.3 4.58 3.5 2.74 2.22
39. Examples of Second Order Reaction
Thermal decompostion of Acetaldehyde:
t P0(2P0 Pt)
Pt P0
k
1
2CH CHO 5
20
C
2CH 2CO
3 4
CH CHO 5
20
C
CH CO
3 4
Problem:
The thermal decompostion of acetaldehyde was studied at
518 C. Starting with the initial pressure of 363 mm of Hg, the
following results were obtained at different time interval. Show
that the reaction is of second order.
t (sec) 42 73 105 190
p (mm) 34 54 74 114
x
t a(a x)
k
1
40. Half-Life of a Reaction (t1/2 ort0.5)
Half-life is another expression for reaction rate and is defined
as the time required for the concentration of a reactant to
decrease to half its initial value
41. Half-Life of a Zero-Order Reaction
As, [A] at t1/2 is one-half of the original [A],
[A]t = 0.5 [A]0.
k
k k
t
k
2k
0.5
0
0.5
[A]0
t
[ A]0 0.5[A]0
t
[ A]t
t
x
[A]0
x
42. Half-Life of a First-Order Reaction
NOTE: For a first-order process, the half-life does not depend on [A]0 and
is inversely proportional to k.
k
t1/2
1/2
0.5[A]0t1/2
k k
0.693
t
2.303
log 2
2.303
0.3010
k
2.303
log2
t1/ 2
As, [A] at t1/2 is one-half of the original [A],
[A]t = 0.5 [A]0.
k
2.303
log
a
t a x
k
2.303
log
[A]0
t [A]
k
2.303
log
[A]0
43. Half-Life of a Second-Order Reaction
0
1/2
00 00
1/2
1
11 21
1
k[A]
[A] [A] [A]0.5[A]
[A] [A]0[A]0[A]
x
t
kt
x
[A]0 [A]
1
a(a x)
kt
t a(a x)
k
1
As, [A] at t1/2 is one-half of the original [A],
[A]t = 0.5 [A]0.
NOTE: For a second-order process, the half-life is inversely
proportional to both k and[A]0.
44. nA Product
rate k[A]n
Order Rate Law Integrated Rate Law Half-Life Straight line Plot
0 r = k[A]0
[A] kt[A]0
(a x) kt a
t
[A]0
0.5
2k
t
a
0.5
2k
[ A] vs t
(a x) vs t
1 r = k[A]1
ln [A] kt ln[A]0
ln(a x) kt ln a
t
0.693
0.5
k
ln [ A] vst
ln(a x) vs t
2 r = k[A]2
1
kt
1
[A] [A]0
1
kt
1
(a x)
a
t
1
0.5
k[A]
0
t
1
0.5
ka
1
vs t
[A]
1
vs t
(a x)
Summarising the all……….
At Time = 0, Concentration of reactant = [A]0 or a
At Time = t, Concentration of reactant = [A] or (a-x)
45. Determination of the Order of a Reaction
Using integrated rate expression
• A hit-and-trial method
• Calculating the constant k
Using half-life period
1
2
log
log
A2
Graphical method
Linear Fitting of rate expression:
• Zero-order, [A] vs t
• 1st-order, ln[A] vs t
• 2nd-order, 1/[A] vs t
A
t
n 1 t1 t , nth order
1
[A]n1
46. 0th Order n=0
Rate = k[A]0
[A] = - kt + [A]o
1st Order n=1
Rate = k[A]1
ln[A] = - kt + ln[A]o
2th Order n=2
Rate = k[A]2
1/[A] = kt + 1/[A]o
[A]
Time, t
slope = k
nA Product
rate k[A]n
ln[A]
Time, t
slope = k
1/[A]
Time, t
slope = k
47. Determination of the Order of a Reaction
Van’t Hoff’s Differential Method
1 2
21
1 2
21
2
2
1
1
2
dCdC
dCdC
dCdC
dtdt
log C log C
dt
log
dt
log
n
nlog C log C
dt
log
dt
log
log k nlogC
dt
log log k nlogC
dt
log
kC n dC2
dt
dC1
kC1
n
dC
kCn
Ost wald’s Isolation Method
A B C Pr oduct
n nA nB nC
48. Problems
P (mm Hg)
t0.5
707
84
79
84
3.5
84
Q4. For the reaction between gaseous chlorine and nitric oxide, it is found that
doubling the concentration of both reactants increases the rate eight times, but
doubling the chlorine concentrationalone doubles the rate. What is the order of
reaction with respect to nitric oxide and chlorine?
2NO + Cl2 = 2NOCl
Q1. In the reduction of nitric oxide, 50% of reaction was completed in 108 sec
when initial pressure was 336 mm Hg and in 147 sec initial pressure was 288 mm
Hg. Find the order of the reaction.
2NO 2H2 N2 2H2O
Q2. In the thermal decomposition of a gaseous substance, the time taken for the
decomposition of half of the reactant was 105 min when the the initial pressure was
750 mm and 950 min when the initial pressure was 250mm. Find the order of the
reaction.
Q3. The half-life for the thermal decompostion of phosphine at three different
pressures are given below: Find the order of the reaction.
49. Problems
Q5. The half-life of a chemical reaction at a particular concentration is 50 min.
When the concentration is doubled, the half-life become 100 mins. Find out the
order of the reaction.
Q6. The half-life of a chemical reaction at a particular concentration is 50 min.
When the concentration is doubled, the half-life remains 50 mins. Find out the
order of the reaction.
Q7. The half-life of a chemical reaction at a particular concentration is 50 min.
When the concentration is doubled, the half-life become 25 mins. Find out the
order of the reaction.
Q8. Compound A decomposes to form B and C is a first order reaction . At 25 C
the rate constant for the reaction is 0.45 s-1 . What is the half-life of A at this
temperature.
Q9. The half-life of a susbstance in a first order reaction is15 minutes. Calculate
the rate constant.
Q10. For a certain first order reaction, half-life is 100 sec. How long will it take for
the reaction to be completed 75% ?
Q11. 50% of a first order reaction is completed in 23 min. Calculate the time
required to complete 90% of the reaction.
50. Temperature Effect on Reaction Rate
• A measure of the average kinetic energy of the molecules in a sample.
• At any temperature there is a wide distribution of kinetic energies.
• At higher temperatures, a larger population of molecules has higher energy.
• As the temperature increases, the fraction of molecules that can overcome the
activation energy barrier increases.
• As a result, the reaction rate increases.
51. The ratio of rate constants of a reaction at two different
temperatures differing by 10 degree is known as
temperature coefficient. The value of temperature coefficient
is generally 2 to 3.
Temperature Effect on Reaction Rate
Temperature Coefficient =
298
308
25
35
k
k
k
k
2 to 3
Increases the rate of a reaction
Initiate a reaction
Temperature Coefficient:
52. Arrhenius Equation
In 1889 Arrhenius developed a mathematical relationship
between k, T and Ea, which is known as Arrhenius equation.
where, A is an experimentally determined quantity
Ea is the activation energy
R is the gas constant
T is temperature in Kelvin
Taking the natural logarithm of both sides,
y = mx + b k is determined experimentally
at several temperatures.
53. Arrhenius Equation
Calculation of Ea:
Ea can be calculated from the slope of a plot of (ln k) vs (1/T).
RT
Ea
2.303RT
log Alog k
ln Aln k
Ea If k1 and k2 corresponds to T1 andT2,
1 2 1
T2
k 2.303R TT
log
k2
Ea T1
R 1
T
Slope
ln k
Ea
54. Theories of Reaction Rates
Collision Theory
Absolute Reaction Rate Theory
Or
(Transition State Theory)
55. Collision Theory
According to this theory, a chemical reaction takes place only by
collisions between the reacting molecules.
The molecules must collide with sufficient kinetic energy.
Energy barrier
Ea = ActivationEnergy
56. The molecules must collide with correct orientation.
Collision Theory
Thus, only molecules colloid with kinetic energy
greater than activation energy and with correct
orientation can cause reaction.
57. Collision Theory & Reaction Rates:
A + B Product
Rate f p z
Where, f = fraction molecules having sufficient kinetic energy
p = probable fraction of molecules with effective orientation
z = collision frequency
58. Limitation of the Collision Theory
• Applicable to simple gaseous reaction
• Good for simple bimolecular reaction
• Only kinetic energy is considered
• Silent for bond cleavage and bond formation
• No method to calculate Probability factor or Steric factor
59. Absolute Reaction Rate Theory
The transition state represents the point of
highest free energy for a reaction step.
Developed by Henry Erying in 1935 and postulated that during collision, the
reactant molecules form a transition state or activated complex which
decomposes to give the products.
AB C A BC A B- C
In summary,
• Kinetic energy is converted into potential energy
• Interpenetration of electron clouds
• Rearrangement of valence electrons
• Formation of an activated complex or transition state
60. B-C
Potentialenergy
Ea
A B C ABC A
Activated Complex or
Transition state
A BC
AB C
Reactant
E
A B- C
Product
Reaction coordinate
Reaction Energy Diagram for an Exothermic Reaction
61. Potentialenergy
Ea
E
AB C
Reactant
Reaction coordinate
A B- C
Product
B-CA B C ABC A
Activated Complex or
Transition state
A BC
Reaction Energy Diagram for an Endothermic Reaction
62. Potentialenergy
AB C A BC A B-C
Activated Complex or
Transition state
A BC
AB C
Reactant
E
A B- C
Product
Reaction coordinate
Ea
Ecat
Activation Energy and Catalysis
63. Some Problems
Q1. The value of rate constant for the decomposition of N2O5 were
determined at several temperatures. A plot of ln k vs 1/T gave a
straight line of which the slope was found to be -1.2 104 K. Calculate
the activation energy of the reaction.
Q2. The value of rate constant for the decomposition of ethyl iodide is
1.6 10-5 s-1 at 327 ºC and 6.36 10-3 s-1 at 427 ºC. Calculate the
activation energy for the reaction. (R = 8.314 JK-1 mol-1)
Q3. The rate of a particular reaction quadruples when the temperature
changes from 293K to 313K. Calculate the activation energy for the
same reaction.
Q4. The activation energy of a non-catalyzed reaction at 37 ºC is 200
kcal mol-1 and the activation energy of the same reaction when
catalyzed by an enzyme is 6 kcal mol-1. Calculate the ratio of the rate
constant of the catalysed and the non-catalysed reaction. Assume
frequency factor to be same in both cases. (R = 1.987cal).
64. Consecutive Reactions
At t = 0,
At t = t,
A k1
[A]0
[A]
B k2
C
0 0
[B] [C]
dt
dt
dt
-d[A]
2
1 2
d[C]
k [B]
d[B]
k [A] - k [B]
k1[A]
[A]0 [A] [B] [C]
[A]
[B]
[C]
65. Parallel or Side Reactions
dt
dt
1 2
1 2 1 2
d[A]
k'
[A]
dt
d[A]
(k k )[A]
d[A]
r r k [A] k [A]
r1 k1[A]
r2 k2[A]
r1
k1
r2 k2
r1 k1[A]
r2 k2[A]
r1
k1[A]
k1
r2 k2[A] k2
66. Riversible or Opposing Reactions
kf
A B
kb
At t = 0,
At t = t,
[A]0
[A]
0
[B]
eq
b f
eq
f 0 b
f b
f b
x
dt
dt
dt
dt dt dt
k k
0 kf ([A]0 xeq ) kb xeq
kb xeq kf ([A]0 xeq )
([A]0 xeq )
At equliberium,
dx
0 & x x
dx
k ([A] x) k x
dx
k [A] k[B]
d[A]
d[B]
dx
k [A] k [B]
67. Chemical Kinetics & Catalysis
A catalyst is a substance which alters the rate of a chemical reaction,
itself remaining chemically unchanged at the end of the reaction.
The process is called catalysis.
69. Homogeneous Catalysis
In homogeneous catalysis, the catalyst is in the same phase
as the reactants and is evenly distributed throughout.
-
C12H22O11
- -
CH3COOC2H5 H2O [H /OH ] CH3COOH C2H5OH [H /OH ]
2H2O2 [I ] 2H2O O2
Catalysis in Gas Phase
2SO2 O2 [NO] 2SO3 [NO]
2CO O2 [NO] 2CO2 [NO]
CH3CHO [I2 ] CH4 CO [I2 ]
Catalysis in Solution Phase
H2O [H2SO4 ] C6H12O6 C6H12O6 [H2SO4 ]
70. Heterogeneous Catalyst
In heterogeneous catalysis, the catalyst is in different phase
from the reactants. Also known as Contact Catalysis.
Surface area
Promoter action
Activation energy
Catalytic poisons
Catalysis with Gaseous Reactants
2SO2 O2 [Pt] 2SO3 [Pt]
N2 3H2 [Fe] 2NH3 [Fe]
CH2 CH2 H2 [Ni] CH3 -CH3 [Ni]
Catalysis with Liquid Reactants
2H2O2 [Pt] 2H2O O2 [Pt]
C6H6 CH3COCl [AlCl3 ] C6H5COCH3 HCl [AlCl3 ]
Catalysis with Solid Reactants
KClO3 [MnO2 ] 2KCl 3O2 [MnO2 ]
Some Features:
71. Characteristic of Catalytic Reactions
It does not affect the equilibrium position
Depends on temperature
P
tbl
ack
2H O2H2 O2
Remains unchanged in mass and chemical composition
A small quantity is generally needed
More effective when finely divided
It is very specific
Al O
C2H5OH 2
3
CH2 CH2 H2O
Cu
C2H5OH CH3CHO H2
In general, it cannot initiate a reaction
H2 O2 No reactionRT
72. Catalytic Promoter Catalytic Poison
A substance which, though itself
not a catalyst, promotes the activity
of a catalyst
A substance which, destroy the
activity of a catalyst to accelerate
a reaction
3
N 3H Fe
2NH
2 2
Promoter: Mo orAl2O3
• Change of lattice spacing
• Increase of peaks and cracks
3
Fe
N2 3H2 2NH
• Preferential adsorption
• Chemical reaction
CO 2H 2 2
3
CH OHZnO & CrO
3
Poison: H2S
SO 2 O2 2SO 3Pt
Poison: As2O3
73. Autocatalyst
One of the product itself acts as a catalyst for the same reaction
CH3COOH
-
C2H5OH [H /OH ]
Negative Catalyst/Inhibitor
A substance, which reduces the rate of a reaction
Inhibitor: 2% ethanol
2MnSO4 K2SO4 8H2O 10CO 2
-
CH3COOC 2H5 H2O [H /OH ]
2KMnO4 5H 2C2O4 H2SO4
2As 3H22AsH3
Inhibitor: Glycerol
4CHCl3 3O2 4COCl 2 2H 2O 2Cl 2
2H2O2 2H 2O O2
Combustionof fuel Inhibitor: Pb(C2H5)4
75. Theories of Catalysis
1. Intermediate Compound Formation Theory
A B C
AB
A C AC
AC B AB C
AlCl
3 6 5 3
322
3
C6H6 CH Cl C H CH HCl
2NO O2 2NO2 (Intermediate)
NO2 SO2 SO3 NO
NO
2SO2SO O
CH3Cl AlCl3 [CH3 ] [AlCl 4 ] (Intermediate)
C6H6 [CH3 ] [AlCl 4 ] C6H5CH3 AlCl 3 HCl
76. 2. Adsorption Theory
This theory explains the mechanism of a reaction catalyzed by a solid catalyst.
The catalyst function by adsorption of the reacting molecules on its surface
Step I: Adsorption of reactant molecules.
Step II: Formation of activated complex.
Step III: Decomposition of activated complex.
Step IV: Desorption of products.
Theories of Catalysis
77. Theories of Catalysis
2. Adsorption Theory
H2 CH CHNi
3 3CH 2 CH2
Step I: Adsorption of Hydrogen molecules.
Step II: Broken of H-H bond.
Step III: Formation of activated complex.
Step IV: Decompostion of the activated
complex and Desorption of
ethane molecules.
79. Adsorption Theory & Catalytic Activity
Metals in a state of fine subdivision or colloidal
form are rich in free valence bonds and hence they
are more efficient catalysts than the metal in lumps
Catalytic poisoning occurs because the so-called
poison blocks the free valence bonds on its
surface by preferential adsorption or by chemical
combination.
A promoter increases the valence bonds on the
catalyst surface by changing the crystal lattice and
thereby increasing the active centers.
80. Acid-Base Catalysis
Homogeneous catalytic reaction catalyzed by acids or bases,
or both acids and bases are known as acid-base catalysts.
Inversionof Cane sugar
6 12 6
Hydrolysis of Ester
CH3COOC2H5 H2O CH3COOH C2H5OHAcid/Base
Decomposition of Nitramide
NH2 NO2 N2O H2OBase
C H OC H O H O A
cid
C H O
12 22 11 2 6 12 6
81. Enzyme Catalysis
• Enzymes are catalysts in biological systems.
• The substrate fits into the active site of the
enzyme much like a key fits into a lock.
The catalysis brought about by enzymes is known as
enzyme catalysis
E + S ES P + E
82. Characteristics of Enzyme Catalysis
• Most efficient catalysts known
• Marked by absolute specificity
• Maximum at optimum temperature
• Maximum at optimum pH
• Greatly affected by inhibitors
• Greatly enhanced by Activator or Coenzyme
Inversion of cane sugar by Invertase present in yeast
6 12 6 6 12 6 C H OI
nve
r
tase
C H OC12 H 22O11 H2O
Conversion of glucose into ethanol by Zymase present in yeast
C H O Zym
ase
2C H OH 2CO
6 12 6 2 5 2
Hydrolysis of urea by Urease present in soya bean
H N CO NH H
Ure
ase
2NH CO
2 2 3 2