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    Chapter 11 : The States of Matter

    Physics SF 017 Part III : Properties of Matter

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    Chapter Outline :

    11.1 Molecular Bonding

    11.2 Solids, Liquids and Gases

    11.3 Crystalline solid

    11.4 Amorphous Solids and Polymers

    11.5 Intermolecular Forces

    11.6 Potential Energy between Molecules

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    At the end of this topic, student should be able to :

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    1. Explain molecular ionic, covalent, Van der Waals and

    hydrogen bonds.

    2. Distinguish between Solids, Liquids and Gases basedon arrangements of atoms and simple model of Kinetic

    Theory.

    3. Describe the properties ofCrystalline Solid by

    referring to ionic crystals, covalent crystals andmetallic crystals

    4. Describe the properties ofAmorphous and Polymers

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    11.1 Molecular Bonding-- Matter is normally classified as being in one of 3 states :

    Solid

    Liquid

    Gaseous

    -- All matter consists of some distribution of atoms or molecul

    -- The atoms in a solid are held by forces that are mainly

    electrical, at specific positions with respect to one

    another and vibrate about these equilibrium positions.

    -- there are some simplified models / bonding mechanisms in

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    -- 4 simplified bonding mechanisms in molecules :

    Ionic Bonding

    Covalent Bonding

    Van der Waals Bonding

    Hydrogen Bonding

    (a) IonicBonding

    -- occurs b

    etween charged particles. ( between metal

    atoms and non-metal atoms.)-- Metals usually have 1,2, @ 3 electrons in their

    outermost shell.

    -- Non-metals have 5,6 @ 7 electrons in their outer

    shell. Atoms with outer shells that are only partlyfilled are unstable.

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    -- To become stable:

    the metal atom get rid of the electrons in its outer shelllost e- --forms a positively-charged ion.

    the non-metal atom receive electrons from the metal

    atom -- forms negatively-charged ion.

    -- attractive between +ve & -ve charges( opposite

    charges ) keeps the ions together.

    Example 1:

    Na Cl Cl-Na+

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    (b) Covalent Bonding

    -- occurs between two ( or more ) non-metal atoms.

    -- Non-metals have 4 or more electrons in their outer

    shells ( except Boron ).

    -- energy to remove all the e- >> energy can gained by

    making new bonds.

    -- to overcome : the atoms involved donate 1 electron

    each to share pair of electron. ---- allow each atomto have a full outer shell for part of the time.

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    Example 2:

    C H+ 4 CH H

    H

    H

    -- the bonds/ forces between molecules are usually weak.

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    (c) Van der Waals Bonding

    -- relatively weak bonding between neighboringmolecules eitherdue to momentary dipoles or due

    to electrostatic interactions among polar molecules.

    -- 3 types of van der Waals forces :

    (a) Dipole-dipole force(b) Dipole-induced force

    (c) Dispersion force.

    -- For 2 molecules that are some distance apart or

    for atoms that do not form ionic @ covalent bonds,

    they are attracted to each other by van der Waals

    forces.

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    (d) Hydrogen Bonding

    -- occurs between hydrogen atoms covalently bonded

    to nitrogen, oxygen or fluorine atoms is attracted to

    an unshared electron pair of a similar highly

    electronegative atoms in the same or adjacentmolecules.

    -- relatively weak compared with other chemical

    bonds, hydrogen bonding is the mechanism

    responsible for the linking of biological moleculesand ol mers.

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    11.2 Solids, Liquids and Gases

    Solids

    -- molecules are held rigidly in position with virtually

    no freedom of motion.

    -- have a definite volume and shape

    -- virtually incompressible -- because of this tight pack

    of particles.

    -- vibrate about fixed positions

    -- the density of the solid form is higher

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    Liquids

    -- molecules are close together but are not held so

    rigidly in position can slide past one another freely .

    -- has a definite volume ( molecules in a liquid do

    not break away from the attractive forces ) but

    assumes the shape of its container.-- can flow & can be poured.

    -- more denser that gases under normal conditions.

    -- only slightly compressible.

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    -- The particles in gases are not neatly

    arranged, -- don`t even touch each

    other most of the time.lots of space in

    between particles.

    Gases

    -- very free motion randomly.

    -- lack of strong forces between molecules

    allows a gas to expand to fill the volume of

    its container.

    -- have a very low densities under normal conditions (

    large amount of empty space )

    -- very compressible.

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    11.3 Crystalline solid

    Solids can be divided into 2 categories :

    Crystalline

    Amorphous

    Crystalline solid (ex: ice) , possesses rigid and long-range order; its atoms, molecules, or ions occupy

    specific positions.

    Net attractive intermolecular forces are at theirmax.

    The forces responsible for the stability of a crystal can

    be ionic forces, covalent bonds, van der Waals forces,

    hydrogen bonds or a combination of these forces.

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    Unit cell the basic repeating structural unit of a crystalline

    solid.

    Any of the unit cells, when repeated in space in all 3

    dimensions, forms the lattice structure characteristic of a

    crystalline solid.

    Every crystalline solid can be described in terms of1 of the

    7 types of unit cells shown in Figure below.

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    (a) Ionic Crystals

    We can classify any crystal as one of 4 types : ionic,

    covalent, molecular or metallic.

    Lattic

    e :Bond : Electric

    attraction

    example : Sodium chloride,

    NaCl

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    Propertie

    s :

    1. Hard & stable

    2. High melting points indication of the strong

    cohesive forces holding the ions together.

    3. Do not conduct electricity because the ions are

    fixed in position.

    4. In molten state or dissolved in water, the ions are

    free to move liquid is electrically conducting.

    5. May be soluble in polar liquids such as water (

    H2O ).

    6. Brittle

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    (b) Covalent Crystals

    Lattic

    e :

    Bond : Shared

    electrons

    example : Diamond, C ; Graphite ;

    Quartz ( SiO2 )

    Properties :

    1. Very Hard

    2. High melting point3. Insoluble in nearly all liquids

    4. Semiconductors ( except diamond which is an

    insulator )

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    (c) Metallic Crystals

    example : All metallic elements ; such as

    Na, Mg, Fe, CuLattic

    e :

    Bond : electron

    gas

    Properties :

    1. Ductile

    2. Metallic luster

    3. High electrical and thermal conductivity.4. Semiconductors ( except diamond which is an

    insulator )

    5. Usually very dense

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    (d) Molecular Crystals

    example : Methane, CH4 ; sulfur

    dioxide, SO2

    Lattic

    e :

    Bond : Van der Waals

    forces and/ or

    Hydrogen bonding

    Properties :

    1. soft

    2. Low melting and boiling points

    3. Soluble in covalent liquids4. Electrical insulators

    5. More easily broken apart than ionic & covalent

    crystals.

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    11.4 Amorphous Solids and Polymers

    Amorphous

    -- Lack a well-defined arrangement and long range

    molecular order.

    -- atom are arranged randomly.

    -- example : glass, plastic, wax, sootProperties :

    1. Hard but brittle ( easily broken )2. Electricity & Heat insulator

    3. Do not have specific melting point

    4. Do not have long-range repetitive internal

    structures

    5. Soften gradually when they are heated.

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    Polymers

    -- large molecules consisting ofrepeated chemical units (

    `mers ` ) joined together usually in a line like beads on

    a string.

    -- ExAmpLe : Polypropylene

    --CH2CHCH3|

    CH2CHCH3|

    CH2CHCH3|

    CH2CHCH3|

    CH2CH-- ..etcCH3|

    Propylene is the monomer for polypropylene

    CH2==CHCH3|

    Propylene

    -CH2CH-CH3|

    Repeating unit in polypropylene

    -(-CH2CH -)-nCH3|

    Polypropylene

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    2 types of polymers :

    (a)Natural organic PolymersProtein, Natural

    rubber ( latex ), wool

    (b)Synthetic Organic polymersNylon, artificial

    rubber.

    Properties :

    1. Good Insulator2. Rubbery, stiff, can be quite brittle

    3. Do not have specific melting point because do not

    have specific structural.

    4. Soft but unyielding.

    5. Only dissolved in organic liquids.

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    Repulsive Force

    Repulsive Force

    r < r0

    Attractive ForceAttractive Force

    r > r0

    r0 ( equilibrium separation )

    11.5 Intermolecular Forces

    The existence of 3 states or phases of matter is

    due to a struggle between inter atomic (

    intermolecular ) forces and the motion which

    atoms ( molecules ) have because of their internal

    energy.

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    Repulsive Forces between 2 atoms

    F repulsive = nr

    A

    where r = inter nuclear separation distance

    A = parameter associated with the repulsive force

    n = small integer

    * F repulsive positive : in the r increasing direction

    In addition to attractive inter atomic forces there must also

    be inter atomic repulsion, otherwise matter would

    collapse.

    When the solid is compressed they repel each other ;

    they attract when they are pulled fatherapart.

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    Attrative Forces between 2 atoms

    F attractive =2

    2

    r

    eke

    where k e = 8.99 x 109 N m2 C -2

    = Madelung constant ; 1.7476

    r = inter nuclear separation distancee = electron charge

    * F attractive negative : in the r decreasing direction

    Resultant Forces between 2 atoms

    F resultant = F repulsive + F attractive

    n

    r

    A

    2

    2

    r

    eke

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    Graph Intermolecular force, F versus separation distance betwe

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    At r = r0( equilibrium separation )

    -- the attractive and repulsive forces just balance.|F repulsive | = | F attractive |-- the resultant inter atomic force = zero

    At r < r0

    -- if the atoms come closer than equilibrium, their

    electron shells try to repel them thus creating a

    very short-range & strong repulsive force.

    |F repulsive | > | F attractive |-- resultant force F resultant: positive ( > 0 )

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    At r > r0

    -- at very large separation distances, the

    dominant forces are attractive.| F repulsive | < | F attractive |-- F resultant : negative ( < 0 )

    -- F attractive :long-range force

    decrease slowly when r increase.

    at infinite distance, the force zero.

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    Relationship between Hooke`s Law and the FversusrGraph

    The atoms are pulled apart very slightly; -- displaced a tiny distance from its

    equilibrium position and the material

    lengthens.

    The intermolecular force curve is straightat and near equilibrium.

    -- means the force is proportionalto the

    displacement fromequilibrium.

    Bonds between atoms in solids are liketiny Hooke`s Law spring provided they

    are not extended too much. Whole

    structure is not stretched too much

    Hookes law is obeyed.

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    W = Force x Distance

    dW = - F dr

    F =dr

    dW

    dr

    dUF

    dU = - F dr

    U = - F dr

    -ve : The force F between the molecules due to their interaction is =

    and opposite to the force applied to move them.

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    Graph Potential Energy between molecules, U versus separatio

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    When very far apart, theirP.E. due to interaction = zero.

    When they are moved towards each other theirP.E. falls because the

    attraction between them.

    The P.E. continues to fall until they reach the position where the overall

    force changes from attraction to repulsion.

    If they move closer still, the P.E. rises because work must done on the

    system to push them together against the repulsion forces.

    Th i i f th P E

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    The minimum of the P.E. curve

    occurs where the force changes from

    attraction to repulsion where the

    overall force is zero.

    at r0 -- P.E. minimum

    The force due to the interactionbetween the 2 molecules = - gradient

    of the P.E. curve.

    dr

    dUF

    At r0

    , F=0, P.E. curve gradient = 0

    At separation r > r0 , F 0

    At separation r < r0 , F >0; P.E. curve

    gradient < 0

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    Using graph U vs r to explain : Thermal Expansion

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    -- Solids expand when heated.

    -- The atoms vibrate more & more as more & more energy is supplied.

    -- The separation between any pair of adjacent atoms varies about the

    equilibrium value as they vibrate.

    -- At absolute zero ( T =0K) , the atoms do not vibrate so theirseparation isr0

    -- At temperature T1, the atoms vibrate so that their separation varies from r1

    to r1`. Because the P.E. curve is sharper at separation less than r0, r1 is

    closer to r0 than r1`. So average separation, midway between r1 and r1` is

    greater than r0

    -- At increased temperature T2, the vibration increase so their separation

    varies from r2 to r2`. The shape of the P.E. curve is such that the average

    separation, midway between r2 and r2` is even greater.

    -- for whole network of atoms, an overall expansion takes place.

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    That `s all about Chapter 11 : The States ofMatter