SlideShare ist ein Scribd-Unternehmen logo
1 von 55
Intermolecular
Forces
Chapter 11
Intermolecular Forces,
Liquids, and Solids
John D. Bookstaver
St. Charles Community College
St. Peters, MO
© 2006, Prentice Hall, Inc.
Chemistry, The Central Science, 10th edition
Theodore L. Brown; H. Eugene LeMay, Jr.;
and Bruce E. Bursten
Intermolecular
Forces
States of Matter
The fundamental difference between states of
matter is the distance between particles.
Intermolecular
Forces
States of Matter
Because in the solid and liquid states
particles are closer together, we refer to them
as condensed phases.
Intermolecular
Forces
The States of Matter
• The state a substance is
in at a particular
temperature and
pressure depends on
two antagonistic entities:
The kinetic energy of the
particles
The strength of the
attractions between the
particles
Intermolecular
Forces
Intermolecular Forces
The attractions between molecules are not
nearly as strong as the intramolecular
attractions that hold compounds together.
Intermolecular
Forces
Intermolecular Forces
They are, however, strong enough to control
physical properties such as boiling and
melting points, vapor pressures, and
viscosities.
Intermolecular
Forces
Intermolecular Forces
These intermolecular forces as a group are
referred to as van der Waals forces.
Intermolecular
Forces
van der Waals Forces
• Dipole-dipole interactions
• Hydrogen bonding
• London dispersion forces
Intermolecular
Forces
Ion-Dipole Interactions
• A fourth type of force, ion-dipole interactions
are an important force in solutions of ions.
• The strength of these forces are what make it
possible for ionic substances to dissolve in
polar solvents.
Intermolecular
Forces
Dipole-Dipole Interactions
• Molecules that have
permanent dipoles are
attracted to each other.
The positive end of one is
attracted to the negative
end of the other and vice-
versa.
These forces are only
important when the
molecules are close to
each other.
Intermolecular
Forces
Dipole-Dipole Interactions
The more polar the molecule, the higher
is its boiling point.
Intermolecular
Forces
London Dispersion Forces
While the electrons in the 1s orbital of helium
would repel each other (and, therefore, tend
to stay far away from each other), it does
happen that they occasionally wind up on the
same side of the atom.
Intermolecular
Forces
London Dispersion Forces
At that instant, then, the helium atom is polar,
with an excess of electrons on the left side
and a shortage on the right side.
Intermolecular
Forces
London Dispersion Forces
Another helium nearby, then, would have a
dipole induced in it, as the electrons on the
left side of helium atom 2 repel the electrons
in the cloud on helium atom 1.
Intermolecular
Forces
London Dispersion Forces
London dispersion forces, or dispersion
forces, are attractions between an
instantaneous dipole and an induced dipole.
Intermolecular
Forces
London Dispersion Forces
• These forces are present in all molecules,
whether they are polar or nonpolar.
• The tendency of an electron cloud to distort in
this way is called polarizability.
Intermolecular
Forces
Factors Affecting London Forces
• The shape of the molecule
affects the strength of dispersion
forces: long, skinny molecules
(like n-pentane tend to have
stronger dispersion forces than
short, fat ones (like neopentane).
• This is due to the increased
surface area in n-pentane.
Intermolecular
Forces
Factors Affecting London Forces
• The strength of dispersion forces tends to
increase with increased molecular weight.
• Larger atoms have larger electron clouds,
which are easier to polarize.
Intermolecular
Forces
Which Have a Greater Effect:
Dipole-Dipole Interactions or Dispersion Forces?
• If two molecules are of comparable size
and shape, dipole-dipole interactions
will likely be the dominating force.
• If one molecule is much larger than
another, dispersion forces will likely
determine its physical properties.
Intermolecular
Forces
How Do We Explain This?
• The nonpolar series
(SnH4 to CH4) follow
the expected trend.
• The polar series
follows the trend
from H2Te through
H2S, but water is
quite an anomaly.
Intermolecular
Forces
Hydrogen Bonding
• The dipole-dipole interactions
experienced when H is bonded to
N, O, or F are unusually strong.
• We call these interactions
hydrogen bonds.
Intermolecular
Forces
Hydrogen Bonding
Hydrogen bonding
arises in part from the
high electronegativity
of nitrogen, oxygen,
and fluorine.
Also, when hydrogen is bonded to one of those
very electronegative elements, the hydrogen
nucleus is exposed.
Intermolecular
Forces
Summarizing Intermolecular Forces
Intermolecular
Forces
Intermolecular Forces Affect
Many Physical Properties
The strength of the
attractions between
particles can greatly
affect the properties
of a substance or
solution.
Intermolecular
Forces
Viscosity
• Resistance of a liquid
to flow is called
viscosity.
• It is related to the ease
with which molecules
can move past each
other.
• Viscosity increases
with stronger
intermolecular forces
and decreases with
higher temperature.
Intermolecular
Forces
Surface Tension
Surface tension
results from the net
inward force
experienced by the
molecules on the
surface of a liquid.
Intermolecular
Forces
Phase Changes
Intermolecular
Forces
Energy Changes Associated
with Changes of State
• Heat of Fusion: Energy required to change a
solid at its melting point to a liquid.
Intermolecular
Forces
Energy Changes Associated
with Changes of State
• Heat of Vaporization: Energy required to
change a liquid at its boiling point to a gas.
Intermolecular
Forces
Energy Changes Associated
with Changes of State
• The heat added to the
system at the melting and
boiling points goes into
pulling the molecules
farther apart from each
other.
• The temperature of the
substance does not rise
during the phase change.
Intermolecular
Forces
Vapor Pressure
• At any temperature, some molecules in a
liquid have enough energy to escape.
• As the temperature rises, the fraction of
molecules that have enough energy to
escape increases.
Intermolecular
Forces
Vapor Pressure
As more molecules
escape the liquid,
the pressure they
exert increases.
Intermolecular
Forces
Vapor Pressure
The liquid and vapor
reach a state of
dynamic equilibrium:
liquid molecules
evaporate and vapor
molecules condense
at the same rate.
Intermolecular
Forces
Vapor Pressure
• The boiling point of a
liquid is the
temperature at which
its vapor pressure
equals atmospheric
pressure.
• The normal boiling
point is the
temperature at which
its vapor pressure is
760 torr.
Intermolecular
Forces
Phase Diagrams
Phase diagrams display the state of a
substance at various pressures and
temperatures and the places where equilibria
exist between phases.
Intermolecular
Forces
Phase Diagrams
• The AB line is the liquid-vapor interface.
• It starts at the triple point (A), the point at
which all three states are in equilibrium.
Intermolecular
Forces
Phase Diagrams
It ends at the critical point (B); above this
critical temperature and critical pressure the
liquid and vapor are indistinguishable from
each other.
Intermolecular
Forces
Phase Diagrams
Each point along this line is the boiling point
of the substance at that pressure.
Intermolecular
Forces
Phase Diagrams
• The AD line is the interface between liquid
and solid.
• The melting point at each pressure can be
found along this line.
Intermolecular
Forces
Phase Diagrams
• Below A the substance cannot exist in the
liquid state.
• Along the AC line the solid and gas phases
are in equilibrium; the sublimation point at
each pressure is along this line.
Intermolecular
Forces
Phase Diagram of Water
• Note the high critical
temperature and critical
pressure:
These are due to the
strong van der Waals
forces between water
molecules.
Intermolecular
Forces
Phase Diagram of Water
• The slope of the solid–
liquid line is negative.
This means that as the
pressure is increased at a
temperature just below the
melting point, water goes
from a solid to a liquid.
Intermolecular
Forces
Phase Diagram of Carbon Dioxide
Carbon dioxide
cannot exist in the
liquid state at
pressures below
5.11 atm; CO2
sublimes at normal
pressures.
Intermolecular
Forces
Phase Diagram of Carbon Dioxide
The low critical
temperature and
critical pressure for
CO2 make
supercritical CO2 a
good solvent for
extracting nonpolar
substances (such as
caffeine).
Intermolecular
Forces
Solids
• We can think of
solids as falling into
two groups:
Crystalline—particles
are in highly ordered
arrangement.
Intermolecular
Forces
Solids
Amorphous—no
particular order in the
arrangement of
particles.
Intermolecular
Forces
Attractions in Ionic Crystals
In ionic crystals, ions
pack themselves so as
to maximize the
attractions and
minimize repulsions
between the ions.
Intermolecular
Forces
Crystalline Solids
Because of the
order in a crystal,
we can focus on the
repeating pattern of
arrangement called
the unit cell.
Intermolecular
Forces
Crystalline Solids
There are several types of basic
arrangements in crystals, such as the ones
shown above.
Intermolecular
Forces
Crystalline Solids
We can determine
the empirical
formula of an ionic
solid by determining
how many ions of
each element fall
within the unit cell.
Intermolecular
Forces
Ionic Solids
What are the empirical formulas for these
compounds?
(a) Green: chlorine; Gray: cesium
(b) Yellow: sulfur; Gray: zinc
(c) Green: calcium; Gray: fluorine
CsCl ZnS CaF2
(a) (b) (c)
Intermolecular
Forces
Types of Bonding in
Crystalline Solids
Intermolecular
Forces
Covalent-Network and
Molecular Solids
• Diamonds are an example of a covalent-
network solid in which atoms are covalently
bonded to each other.
They tend to be hard and have high melting
points.
Intermolecular
Forces
Covalent-Network and
Molecular Solids
• Graphite is an example of a molecular solid in
which atoms are held together with van der
Waals forces.
They tend to be softer and have lower melting
points.
Intermolecular
Forces
Metallic Solids
• Metals are not
covalently bonded, but
the attractions between
atoms are too strong to
be van der Waals
forces.
• In metals, valence
electrons are
delocalized throughout
the solid.

Weitere ähnliche Inhalte

Was ist angesagt?

Laws of Chemical Combination + Stoichiometry
Laws of Chemical Combination + StoichiometryLaws of Chemical Combination + Stoichiometry
Laws of Chemical Combination + Stoichiometry
Kris Ann Ferrer
 
Intermolecular forces
Intermolecular forcesIntermolecular forces
Intermolecular forces
Syed Shah
 
chemistry-enthalpy power point
chemistry-enthalpy power pointchemistry-enthalpy power point
chemistry-enthalpy power point
Shmiley3000
 
Energy Changes and Chemical Reactions
Energy Changes and Chemical ReactionsEnergy Changes and Chemical Reactions
Energy Changes and Chemical Reactions
Melinda MacDonald
 

Was ist angesagt? (20)

Forces and motion
Forces and motionForces and motion
Forces and motion
 
Tang 09 intermolecular forces and solubility
Tang 09   intermolecular forces and solubilityTang 09   intermolecular forces and solubility
Tang 09 intermolecular forces and solubility
 
Laws of Chemical Combination + Stoichiometry
Laws of Chemical Combination + StoichiometryLaws of Chemical Combination + Stoichiometry
Laws of Chemical Combination + Stoichiometry
 
Solution chemistry notes
Solution chemistry notesSolution chemistry notes
Solution chemistry notes
 
Solution chemistry
Solution chemistrySolution chemistry
Solution chemistry
 
Chemical equilibrium
Chemical equilibriumChemical equilibrium
Chemical equilibrium
 
Intermolecular forces
Intermolecular forcesIntermolecular forces
Intermolecular forces
 
Chemical equilibrium
Chemical equilibriumChemical equilibrium
Chemical equilibrium
 
Chem 2 - Intermolecular Forces & Phases of Matter II
Chem 2 - Intermolecular Forces & Phases of Matter II Chem 2 - Intermolecular Forces & Phases of Matter II
Chem 2 - Intermolecular Forces & Phases of Matter II
 
Electrostatics
ElectrostaticsElectrostatics
Electrostatics
 
Chapter 11 Lecture- Intermolecular Forces, Liquids, & Solids
Chapter 11 Lecture- Intermolecular Forces, Liquids, & SolidsChapter 11 Lecture- Intermolecular Forces, Liquids, & Solids
Chapter 11 Lecture- Intermolecular Forces, Liquids, & Solids
 
Chemical bond
Chemical bondChemical bond
Chemical bond
 
chemistry-enthalpy power point
chemistry-enthalpy power pointchemistry-enthalpy power point
chemistry-enthalpy power point
 
Chemical Kinetics
Chemical KineticsChemical Kinetics
Chemical Kinetics
 
Molecular polarity
Molecular polarityMolecular polarity
Molecular polarity
 
Energy Changes and Chemical Reactions
Energy Changes and Chemical ReactionsEnergy Changes and Chemical Reactions
Energy Changes and Chemical Reactions
 
Intermolecular forces
Intermolecular forcesIntermolecular forces
Intermolecular forces
 
Covalent bonds and Lewis Structure
Covalent bonds and Lewis StructureCovalent bonds and Lewis Structure
Covalent bonds and Lewis Structure
 
Intermolecular forces
Intermolecular forcesIntermolecular forces
Intermolecular forces
 
Lecture 19.1b- Bronsted-Lowry Acids & Bases
Lecture 19.1b- Bronsted-Lowry Acids & BasesLecture 19.1b- Bronsted-Lowry Acids & Bases
Lecture 19.1b- Bronsted-Lowry Acids & Bases
 

Ähnlich wie Chapter 11

Ch11 outline
Ch11 outlineCh11 outline
Ch11 outline
AP_Chem
 
Chem 101 week 13 ch11
Chem 101 week 13 ch11Chem 101 week 13 ch11
Chem 101 week 13 ch11
tdean1
 
GENERAL CHEMISTRY 2.pptxaaaaaaaaaaaaaaaaaaaa
GENERAL CHEMISTRY 2.pptxaaaaaaaaaaaaaaaaaaaaGENERAL CHEMISTRY 2.pptxaaaaaaaaaaaaaaaaaaaa
GENERAL CHEMISTRY 2.pptxaaaaaaaaaaaaaaaaaaaa
AliceRivera13
 
InterMolecular forces lesson ppt physical science
InterMolecular forces lesson ppt physical scienceInterMolecular forces lesson ppt physical science
InterMolecular forces lesson ppt physical science
MelanieCortez10
 

Ähnlich wie Chapter 11 (20)

Ch11 outline
Ch11 outlineCh11 outline
Ch11 outline
 
Ch11 outline
Ch11 outlineCh11 outline
Ch11 outline
 
Chem 101 week 13 ch11
Chem 101 week 13 ch11Chem 101 week 13 ch11
Chem 101 week 13 ch11
 
Intermolecular_Forces_Liquids_and_Solids-Autosaved.ppt
Intermolecular_Forces_Liquids_and_Solids-Autosaved.pptIntermolecular_Forces_Liquids_and_Solids-Autosaved.ppt
Intermolecular_Forces_Liquids_and_Solids-Autosaved.ppt
 
chemistry-first-summative-Google-Docs.pdf
chemistry-first-summative-Google-Docs.pdfchemistry-first-summative-Google-Docs.pdf
chemistry-first-summative-Google-Docs.pdf
 
kinetic mol theory.pptx
kinetic mol theory.pptxkinetic mol theory.pptx
kinetic mol theory.pptx
 
Lesson 3 Properties of Liquid.pptx
Lesson 3 Properties of Liquid.pptxLesson 3 Properties of Liquid.pptx
Lesson 3 Properties of Liquid.pptx
 
chapter_11au.ppt
chapter_11au.pptchapter_11au.ppt
chapter_11au.ppt
 
Physical Science 12 POLARITY OF A MOLECULE TO ITS PROPERTIES.pptx
Physical Science 12 POLARITY OF A MOLECULE TO ITS PROPERTIES.pptxPhysical Science 12 POLARITY OF A MOLECULE TO ITS PROPERTIES.pptx
Physical Science 12 POLARITY OF A MOLECULE TO ITS PROPERTIES.pptx
 
KINETIC-MOLECULAR-MODELS-OF-LIQUIDS-AND-SOLIDS.pptx
KINETIC-MOLECULAR-MODELS-OF-LIQUIDS-AND-SOLIDS.pptxKINETIC-MOLECULAR-MODELS-OF-LIQUIDS-AND-SOLIDS.pptx
KINETIC-MOLECULAR-MODELS-OF-LIQUIDS-AND-SOLIDS.pptx
 
grade 12 week 2.pptx
grade 12 week 2.pptxgrade 12 week 2.pptx
grade 12 week 2.pptx
 
KMT.pptx
KMT.pptxKMT.pptx
KMT.pptx
 
GENERAL CHEMISTRY AS PART OF EDUCATIONSS
GENERAL CHEMISTRY AS PART OF EDUCATIONSSGENERAL CHEMISTRY AS PART OF EDUCATIONSS
GENERAL CHEMISTRY AS PART OF EDUCATIONSS
 
1.-KMTLIQUIDS.pptx
1.-KMTLIQUIDS.pptx1.-KMTLIQUIDS.pptx
1.-KMTLIQUIDS.pptx
 
11.1, 2 & 4
11.1, 2 & 411.1, 2 & 4
11.1, 2 & 4
 
General Chemistry 2 - Chapter 1: The Kinetic Molecular Model and Intermolecul...
General Chemistry 2 - Chapter 1: The Kinetic Molecular Model and Intermolecul...General Chemistry 2 - Chapter 1: The Kinetic Molecular Model and Intermolecul...
General Chemistry 2 - Chapter 1: The Kinetic Molecular Model and Intermolecul...
 
GENERAL CHEMISTRY 2.pptxaaaaaaaaaaaaaaaaaaaa
GENERAL CHEMISTRY 2.pptxaaaaaaaaaaaaaaaaaaaaGENERAL CHEMISTRY 2.pptxaaaaaaaaaaaaaaaaaaaa
GENERAL CHEMISTRY 2.pptxaaaaaaaaaaaaaaaaaaaa
 
General Chemistry II] Intermolecular Forces
General Chemistry II] Intermolecular ForcesGeneral Chemistry II] Intermolecular Forces
General Chemistry II] Intermolecular Forces
 
InterMolecular forces lesson ppt physical science
InterMolecular forces lesson ppt physical scienceInterMolecular forces lesson ppt physical science
InterMolecular forces lesson ppt physical science
 
Binding forces SB
Binding forces SBBinding forces SB
Binding forces SB
 

Mehr von ewalenta (20)

Ch. 4 redox
Ch. 4 redoxCh. 4 redox
Ch. 4 redox
 
Physical science unit two measurement
Physical science unit two measurementPhysical science unit two measurement
Physical science unit two measurement
 
Physical science unit one
Physical science unit onePhysical science unit one
Physical science unit one
 
Solution chemistry enthalpy
Solution chemistry   enthalpySolution chemistry   enthalpy
Solution chemistry enthalpy
 
Types of reactions
Types of reactionsTypes of reactions
Types of reactions
 
Writing net ionic equations
Writing net ionic equationsWriting net ionic equations
Writing net ionic equations
 
hydrologic cycle
 hydrologic cycle hydrologic cycle
hydrologic cycle
 
seasons and insolation presentation
seasons and insolation presentationseasons and insolation presentation
seasons and insolation presentation
 
intro to environmental science
intro to environmental scienceintro to environmental science
intro to environmental science
 
Chapter 21
Chapter 21Chapter 21
Chapter 21
 
Chapter 20
Chapter 20Chapter 20
Chapter 20
 
Chapter 19
Chapter 19Chapter 19
Chapter 19
 
Chapter 18
Chapter 18Chapter 18
Chapter 18
 
Chapter 17
Chapter 17Chapter 17
Chapter 17
 
Chapter 16
Chapter 16Chapter 16
Chapter 16
 
Chapter 15au
Chapter 15auChapter 15au
Chapter 15au
 
Chapter 14
Chapter 14Chapter 14
Chapter 14
 
Chapter 13
Chapter 13Chapter 13
Chapter 13
 
Ch. 10 Gases
Ch. 10 GasesCh. 10 Gases
Ch. 10 Gases
 
Ch. 9 Molecular Geometry
Ch. 9 Molecular GeometryCh. 9 Molecular Geometry
Ch. 9 Molecular Geometry
 

Kürzlich hochgeladen

Pests of mustard_Identification_Management_Dr.UPR.pdf
Pests of mustard_Identification_Management_Dr.UPR.pdfPests of mustard_Identification_Management_Dr.UPR.pdf
Pests of mustard_Identification_Management_Dr.UPR.pdf
PirithiRaju
 
Conjugation, transduction and transformation
Conjugation, transduction and transformationConjugation, transduction and transformation
Conjugation, transduction and transformation
Areesha Ahmad
 
Chemical Tests; flame test, positive and negative ions test Edexcel Internati...
Chemical Tests; flame test, positive and negative ions test Edexcel Internati...Chemical Tests; flame test, positive and negative ions test Edexcel Internati...
Chemical Tests; flame test, positive and negative ions test Edexcel Internati...
ssuser79fe74
 
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune WaterworldsBiogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
Sérgio Sacani
 
Labelling Requirements and Label Claims for Dietary Supplements and Recommend...
Labelling Requirements and Label Claims for Dietary Supplements and Recommend...Labelling Requirements and Label Claims for Dietary Supplements and Recommend...
Labelling Requirements and Label Claims for Dietary Supplements and Recommend...
Lokesh Kothari
 
Pests of cotton_Sucking_Pests_Dr.UPR.pdf
Pests of cotton_Sucking_Pests_Dr.UPR.pdfPests of cotton_Sucking_Pests_Dr.UPR.pdf
Pests of cotton_Sucking_Pests_Dr.UPR.pdf
PirithiRaju
 
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
Sérgio Sacani
 

Kürzlich hochgeladen (20)

Pests of mustard_Identification_Management_Dr.UPR.pdf
Pests of mustard_Identification_Management_Dr.UPR.pdfPests of mustard_Identification_Management_Dr.UPR.pdf
Pests of mustard_Identification_Management_Dr.UPR.pdf
 
Conjugation, transduction and transformation
Conjugation, transduction and transformationConjugation, transduction and transformation
Conjugation, transduction and transformation
 
Chemical Tests; flame test, positive and negative ions test Edexcel Internati...
Chemical Tests; flame test, positive and negative ions test Edexcel Internati...Chemical Tests; flame test, positive and negative ions test Edexcel Internati...
Chemical Tests; flame test, positive and negative ions test Edexcel Internati...
 
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune WaterworldsBiogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
Biogenic Sulfur Gases as Biosignatures on Temperate Sub-Neptune Waterworlds
 
Labelling Requirements and Label Claims for Dietary Supplements and Recommend...
Labelling Requirements and Label Claims for Dietary Supplements and Recommend...Labelling Requirements and Label Claims for Dietary Supplements and Recommend...
Labelling Requirements and Label Claims for Dietary Supplements and Recommend...
 
Clean In Place(CIP).pptx .
Clean In Place(CIP).pptx                 .Clean In Place(CIP).pptx                 .
Clean In Place(CIP).pptx .
 
Kochi ❤CALL GIRL 84099*07087 ❤CALL GIRLS IN Kochi ESCORT SERVICE❤CALL GIRL
Kochi ❤CALL GIRL 84099*07087 ❤CALL GIRLS IN Kochi ESCORT SERVICE❤CALL GIRLKochi ❤CALL GIRL 84099*07087 ❤CALL GIRLS IN Kochi ESCORT SERVICE❤CALL GIRL
Kochi ❤CALL GIRL 84099*07087 ❤CALL GIRLS IN Kochi ESCORT SERVICE❤CALL GIRL
 
GBSN - Microbiology (Unit 2)
GBSN - Microbiology (Unit 2)GBSN - Microbiology (Unit 2)
GBSN - Microbiology (Unit 2)
 
Pests of cotton_Sucking_Pests_Dr.UPR.pdf
Pests of cotton_Sucking_Pests_Dr.UPR.pdfPests of cotton_Sucking_Pests_Dr.UPR.pdf
Pests of cotton_Sucking_Pests_Dr.UPR.pdf
 
Botany 4th semester file By Sumit Kumar yadav.pdf
Botany 4th semester file By Sumit Kumar yadav.pdfBotany 4th semester file By Sumit Kumar yadav.pdf
Botany 4th semester file By Sumit Kumar yadav.pdf
 
Call Girls Alandi Call Me 7737669865 Budget Friendly No Advance Booking
Call Girls Alandi Call Me 7737669865 Budget Friendly No Advance BookingCall Girls Alandi Call Me 7737669865 Budget Friendly No Advance Booking
Call Girls Alandi Call Me 7737669865 Budget Friendly No Advance Booking
 
9654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 6000
9654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 60009654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 6000
9654467111 Call Girls In Raj Nagar Delhi Short 1500 Night 6000
 
GBSN - Biochemistry (Unit 1)
GBSN - Biochemistry (Unit 1)GBSN - Biochemistry (Unit 1)
GBSN - Biochemistry (Unit 1)
 
Connaught Place, Delhi Call girls :8448380779 Model Escorts | 100% verified
Connaught Place, Delhi Call girls :8448380779 Model Escorts | 100% verifiedConnaught Place, Delhi Call girls :8448380779 Model Escorts | 100% verified
Connaught Place, Delhi Call girls :8448380779 Model Escorts | 100% verified
 
❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.
❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.
❤Jammu Kashmir Call Girls 8617697112 Personal Whatsapp Number 💦✅.
 
High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑
High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑
High Profile 🔝 8250077686 📞 Call Girls Service in GTB Nagar🍑
 
FAIRSpectra - Enabling the FAIRification of Spectroscopy and Spectrometry
FAIRSpectra - Enabling the FAIRification of Spectroscopy and SpectrometryFAIRSpectra - Enabling the FAIRification of Spectroscopy and Spectrometry
FAIRSpectra - Enabling the FAIRification of Spectroscopy and Spectrometry
 
American Type Culture Collection (ATCC).pptx
American Type Culture Collection (ATCC).pptxAmerican Type Culture Collection (ATCC).pptx
American Type Culture Collection (ATCC).pptx
 
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
Discovery of an Accretion Streamer and a Slow Wide-angle Outflow around FUOri...
 
Proteomics: types, protein profiling steps etc.
Proteomics: types, protein profiling steps etc.Proteomics: types, protein profiling steps etc.
Proteomics: types, protein profiling steps etc.
 

Chapter 11