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    Introductory Chemistry B CH4751

    Lecture Notes 11-20

    Dr. Erzeng Xue

    CH4751 Lecture Notes 11-20 (Erzeng Xue)

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    Chemical Reaction - Observation

    Reaction (1) CH4+ 2O2 CO2+ 2H2O

    Reaction (2) CH4+ CO2 2CO + 2H2

    When carrying out these reactions we found that

    at 400K (123C), the reaction (1) will proceed and reaction (2) will not

    at 1000K(723C), reactions (1) & (2) both proceed; but

    rxn (1) can go complete (until CH4orCO2consumed completely)

    rxn (2) wont complete (with a feed CH4=CO2=1 & CO=H2=0, max. conv.=63% at 1000K)

    The reaction (1) will give out heat, but the reaction (2) will require heat.

    Why?

    Chemical React ions

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    Chemical Reaction Thermodynamics

    Each molecule contains certain types and quantity of chemical energy

    There is always energy change In a chemical reaction because of

    breaking / reformation of chemical bonds

    out-giving or in-taking heat

    There are different energies associated with a substances & a reaction

    (A systematic study of various forms of energy & their changes is called

    Thermodynamics)

    We will learn some of these energies

    The meanings

    How to get values / do simple calculate

    How to use them as a tool to study chemical reactions

    Chemical React ions

    CH4751 Lecture Notes 11 (Erzeng Xue)

    C 1 11 ( )

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    Chemical Reaction Thermodynamics

    The heat of form ation, H, (also called Enthalpy of Formationor Enthalpy)

    His an energy associated with heat

    His specific for each substance and is dependent of temperature & pressure

    e.g. at 1000K: HCH4=-89, HO2=0, HCO2=-394, HH2O=-241, HCO=-111, HH2=0 (kJ/mol)

    (Hvalues for various substances can be found in physical chemistry/Chem Eng handbooks)

    In a reaction we are interested in the enthalpy change, DH,which is calculated using

    For Rxn(1) CH4+ 2O2 CO2+ 2H2O DH1000=-801 kJ/mol

    Rxn (2) CH4+ CO2 2CO + 2H2 DH1000=+260k J/mol

    The meaning

    When DH0, a reaction requires heat reaction is endothermic, as in rxn (2)

    Chemical React ions

    refers to standard pressure (1 atm.)

    Temperature

    reacT,iiprodT,iiT )Hv()Hv(H000 D

    CH4751 Lecture Notes 11 (Erzeng Xue)

    CH4751 L t N t 11 (E X )

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    5

    Chemical Reaction Thermodynamics

    The Gibb s Free Energy , G, (also called Free Energy)

    Gis a thermodynamic function related to a reaction. It is a function of H, T& S(entropy)

    Gis specific for each substance & is a function of H, T& S(entropy)

    e.g. at 1000K: GCH4=-+30, GO2=0, GCO2=-395, GH2O=-192, GCO=-200, GH2=0 (kJ/mol)

    (Gvalues for various substances can be found in physical chemistry/Chem Eng handbooks)

    The Gibbs Free energy change, DG,in a reaction can be calculated using

    For Rxn(1) CH4+ 2O2 CO2+ 2H2O DG400DG1000=-801 kJ/mol

    Rxn (2) CH4+ CO2 2CO + 2H2 DG400=+145, DG1000=-24 kJ/mol

    Use of DG- Rxn(1) DG

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    Chemical Reaction Thermodynamics

    Example of DHTcalculation

    CH4(g)+ 2O2(g) CO2(g)+ 2H2O(g) CH4+ CO2 2CO + 2H2

    Coeff. 1 2 1 2 1 1 2 2

    H400( -77 0 -393 -242 -77 -393 -110 0 kJ/mol

    H1000 -89 0 -394 -248 -89 -394 -111 0 kJ/mol

    Equation to use

    D

    H400 =[1x(-393)+2x(-242)]-[1x(-77)+2x(0)]= -800kJ/mol

    D

    H1000=[1x(-394)+2x(-248)]-[1x(-89)+2x(0)]=-801kJ/mol

    Reaction (1) DH400 =[2x(-110)+2x(0)]-[1x(-77)+1x(-393)]=+250kJ/mol

    Reaction (2) DH1000=[2x(-111)+2x(0)]-[1x(-89)+1x(-393)]= +260kJ/mol

    Note: The heat of formation of single element gases (O2, H2, N2etc) is defined as zero.

    Chemical React ions

    reacT,iiprodT,iiT )Hv()Hv(H000 D

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    Chemical Reaction Thermodynamics

    Example of DHTcalculation

    CH4(g)+ 2O2(g) CO2(g)+ 2H2O(g) CH4+ CO2 2CO + 2H2

    Coeff. 1 2 1 2 1 1 2 2

    G400( -42 0 -394 -224 -42 -394 -146 0 kJ/mol

    G1000 +19 0 -396 -193 +19 -396 -200 0 kJ/mol

    Equation to use

    DG400 =[1x(-394)+2x(-224)]-[1x(-42)+2x(0)]= -800 kJ/mol

    D

    G1000=[1x(-396)+2x(-193)]-[1x(+19)+2x(0)]= -801 kJ/mol

    Reaction (1) D

    G400 =[2x(-146)+2x(0)]-[1x(-42)+1x(-394)]=+144 kJ/mol

    Reaction (2) DG1000=[2x(-200)+2x(0)]-[1x(19)+1x(-396)]= -23 kJ/mol

    Note: The Gibbs Free Energy of single element gas (O2, H2, N2etc) is defined as zero.

    Chemical React ions

    reacT,iiprodT,iiT )Gv()Gv(G000 D

    CH4751 Lecture Notes 11 (Erzeng Xue)

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    Chemical Reaction Thermodynamics

    The values of DGTand DH T

    Equations

    In both cases G and H values for the reactants and products have to be those at the

    reaction temperature, indicated by the subscript.

    For common substances, G and H values are given as a function of Tin handbooks - okay

    For some less common substances, you may only find values at 298K, G298and H298

    How do you convert values of G298and H298to those of GTand HT?

    Here is the equations you can use to calculate the values of GTand HTfrom G298and H298

    in which, STis the entropy and Cpis the heat capacity at constant pressure

    Chemical React ions

    reacT,iiprodT,iiT )Gv()Gv(G000 DreacT,iiprodT,iiT )Hv()Hv(H 000 D

    298

    0

    298

    0

    DD i,changephase

    T

    i,p,iT,i HdTCHH

    j

    phaseT

    i,pT,iT,iT,iT,iT

    Q

    T

    dTCSSSTHG D 298

    0

    298

    0000where-

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    Chemical Reaction Thermodynamics

    Summary

    Will a reaction proceed in the direction specified?

    Check DGTvalue of the reaction. The DGTvalue of a reaction can be calculated by

    The G values of reactants / products can be found in literature. Remember

    Is a reaction exothermic or endothermic?

    Check DHTvalue of the reaction. The DHTvalue of a reaction can be calculated by

    The H values of reactants / products can be found in literature

    Chemical React ions

    reacT,iiprodT,iiT )Gv()Gv(G000 D

    reacT,iiprodT,iiT )Hv()Hv(H000 D

    reaction can proceed (but we dont know how fast it will be!)

    reaction at equilibrium(no further change possible-dead state)

    reaction will NOT proceed (or can proceed backward!)

    0

    0

    0

    T

    T

    T

    G

    G

    G

    for a reaction at

    constant T, P,

    C 475 ectu e Notes ( eng ue)

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    Chemical Reaction Equilibrium

    Until now we assume reaction A + B C + D goes to complete

    Meaning a reaction only stops when either A or B is consumed completely

    Experimental observations

    Some reactions will cease without complete consumption of limiting reactant

    Without altering reaction conditions (T, P, [ ]etc.) the ratio of conc. remains constant

    After a change (T, P, [ ] etc.), the ratio of concs changes to another constant value

    Example 1: NH3(aq)+ H2O(l) NH4+(l) + OH-(aq)

    Follow concentrations of each component with time at constant Tand P,

    at t

    After changing T, a new constant ratio is established

    If [NH3] is reduced the amount [NH4] decrease accordingly

    while the ratio above remains constant

    We say the reaction has reached equilibriumstate

    Chemical React ions

    constantO]][H[NH

    ]][OH[NH

    23

    4

    t

    [NH4]1

    [NH3]1

    [NH3]2

    [NH4]2

    ( g )

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    Chemical Reaction Equilibrium

    Experimental observations

    Example 2: 2NO(g)+ O2(g) 2NO2(g)

    Again at constant Tand P, when t

    Reaction equilibrium is achieved when t

    We say the reaction has reached equilibriumstate

    The ratio of product concentration to reactants, with the stoichiometry coefficient as the

    power index, is called react ion quot ient

    When reaction quotient= constant value reaction reaches equilibrium

    The value of reaction quotient at equilibrium, is called equi l ibr ium constant , Keq

    At equilibrium, reactants may or may not be consumed completely

    e.g. A feed gas mixture: NO=500ppm, O2=10%, N2=89.95%, achieves equilibria at the following Ts

    Temperature / C 50 325 500

    NO remaining at equil / ppm 0 96.5 390

    NO conversion at equil / % 100 80.3 22

    Chemical React ions

    t

    NO2

    NO

    O2

    constant

    2

    2

    2

    2

    ONO

    NO

    PP

    P

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    Chemical Reaction Equilibrium

    Important concepts of reaction equilibrium 2NO(g) + O2(g) D

    2NO2(g)

    Is the reaction between reactants still going on?

    YES. Reaction goes forward as well as reverses.

    At equilibrium: Rforward= Rreverse

    though there is no NETchange of all conc.s

    The equilibrium constant, Keq, has a meaning of

    Keq=Rfo rward/ Rreverse

    Changing Tcauses both Rfo rward& Rreverseto change, leading to a new Keq.

    If Keq>>1, which means Rfo rward >> Rreverse, thereaction tends to go forward

    If Keq>1).

    Chemical React ions

    2

    2

    2

    2

    ONO

    NO

    pPP

    PK

    t

    NO2

    NO

    O2

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    Chemical Reaction Equilibrium

    Equilibrium constant and Gibbs Free Energy

    For reaction vAA + vBBDvCC + vDD

    Remember: The value of DGdetermines the direction of reaction

    No more change possible reaction in equilibrium DG= 0

    Is the DGvalue related to the equilibrium constant?

    YES. DG and Keqare related by the equation below (calculate one from the other)

    DGT= - RTln(Keq)

    Chemical React ions

    reaction is spontaneous

    reaction at equi l ibr ium(no further change possible)

    reverse reaction is spontaneous

    0

    0

    0

    T

    T

    T

    G

    G

    G

    for a reaction at

    constant T, P,

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    Chemical Reaction Equilibrium

    Equilibrium constant - for different type of rxns

    General form: vAA + vBB DvCC + vDD

    gas phase 2NO(g) + O2(g) D2NO2(g)

    gas-solid phase CaCO3(s) DCaO(s)+CO2(g)

    liquid phase NH3(aq)+H2O(l) DNH4+(l)+OH-(aq)

    liquid-solid Cu(OH)2(s) DCu2+(aq)+2OH-(aq)

    gas-liquid NH3(g)+H2O(l) DNH4OH(aq)

    Chemical React ions

    )(][[A]

    [D][C]Tf

    PP

    PP

    BK

    BA

    DC

    BA

    DC

    v

    B

    v

    A

    v

    D

    v

    C

    vv

    vv

    eq

    for liquid phase rxn

    for gas phase rxn

    2

    2

    2

    2

    ONO

    NO

    pPP

    PK

    O]][H[NH

    ]][OH[NH

    23

    4

    cK

    2COp PK

    22 ]][OH[Cu cK

    31 NHp P/K

    For reactions that have gas components, we normally use pressure to represent the concs

    For reactions involves gas+liquid or gas+solid, only gas terms appear in the Keqexpression

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    Le Chateliers Principle

    When a system in equilibrium is subjected to an external stress, the system willestablish a new equilibrium, when possible, so as to minimise the external stress

    Stresses: Changes in [ ], temperature or pressure

    Example: N2(g) + 3H2(g) 2NH3(g) + heat (exothermic)

    a) Effect of ([ ]). Increasing [ ] of substance shifts equil. in the direction of the long arrow

    N2 + 3H2 2NH3 + heat

    N2 + 3H2 2NH3 + heat

    N2 + 3H2 2NH3 + heat

    b) Effect of heat. Addition or removal of heat at constant temperature

    Addition of heat: N2 + 3H2 2NH3 + heat

    c) Effect of Pressure. (only affects reactions that have volume change before & after).

    Increase in pressure: N2 + 3H2 2NH3 + heat

    4 volumes 2 volumes

    Factors Affecting Reaction EquilibriumChemical React ions

    &

    orconst

    223

    322

    22

    3

    HNNH

    NHHN

    3

    HN

    2

    NH

    PPP

    PPP

    PP

    PKp

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    Chemical Reaction Equilibrium

    Write the equilibrium expression for the following reactions and

    determine the units for Keq:1)2O3(g)D3O2(g)

    2)Ag+(aq)+ 2NH3(aq)DAg(NH3)2+(aq)

    3)2NaN3(s)D3Na(s)+ 3N2(g)

    4)2Na(s)+ Cl2(g)D2NaCl(s)

    5)2NaCl(s)D2Na(s)+ Cl2(g)

    6)N2(g)+ 3H2(g)D2NH3(g)

    Note 1. The Keqexpression depends on how the rxn equation is written (compare rxns 4&5).

    2). The unit of Keqdepends on the way how the rxn eqn is written & the unit used of each.

    Chemical React ions

    ][atm][[atm]

    [atm]

    2

    3

    2

    3

    3

    2 ,P

    PK

    O

    O

    p

    ]][atm[33

    2 ,PK Np

    ][1/atm][1

    2

    ,P

    KCl

    p

    ][atm][2

    ,PK Clp

    ]][1/atm[][atm][atm

    ][atm][ 23

    2

    3

    HN

    2

    NH

    22

    3 ,PP

    PKp

    ]/l[mol][]/ll[mol/l][mo

    [mol/l]][

    ]][NH[Ag

    ])[Ag(NH 22222

    3

    23

    ,Kc

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    Chemical Reaction Equilibrium

    1. Analysis shows that a mixture of N2(2.46 atm), H2(7.38 atm) and NH3(0.116 atm) at

    472C in reaction (N2(g) + 3H

    2(g) D2NH

    3(g)) is in equilibrium state.

    Calculate: 1) Keq; 2) DG; 3). The total pressure. 4) Will the rxn be push to the product by

    decreasing the reaction pressure? Give reason why? 5) Will the removal of NH3from

    reaction mixture promote the product formation? Explain why.

    1)

    2)D

    GT= - RTln(Keq)=-8.314x(472+273)ln(2.79x10-5)=65 kJ/mol

    3) Ptotal= PN2+PH2+ PNH3=2.46+7.38+0.116=9.956 atm

    4) A decrease reaction Pfavours the reverse rxn because Vo lreactant> Vo lproduct.

    5) Yes. As Keq=P2NH3/(PN2xP

    3H2)=constant, the removal of NH3 will reduce PNH3, to

    compensate the change, more N2and H2will be converted to NH3 in order to keep

    the same Keq(reaction quotient).

    Chemical React ions

    25

    3

    2

    3

    HN

    2

    NH /atm10792

    .38)7.46)(2(

    )1660(

    22

    3 ..

    PP

    PKp

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    Chemical Reaction

    What we know about a chemical reaction so far

    Reaction equation - quantitative representation of a chemical reaction

    Reaction stoichiometry coefficients and balancing reaction equations

    We can judge if a give chemical reaction would proceed in the direction specified

    A reaction has a tendency if DGof a reaction is smaller than zero

    We can decide if a given reaction gives out or takes up heat

    If DH< 0, reaction is exothermic; if DH> 0, reaction is endothermic

    For reactions that are feasible, to what extent they will complete

    Chemical reaction equilibrium, equilibrium constant

    Now we know a rxn would proceed in the direction specified, questions are:

    - how fast that reaction is going to proceed under give conditions?- how to quantitatively describe the rate of a reaction and make comparison?

    - how can we explain that some reactions occur faster than others?

    e.g. 2NO(g) + O2(g) = 2NO2(g) (slow); 2NaN3 = 2Na+ 3N2(very fast)

    Chemical React ions

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    Chemical Reaction Kinetics

    Chemical reaction kinetics study the rate of chemical reactions

    Definition of chemical reaction rate The number of moles of a reactant converted (consumed) in a reaction per unit time

    for a reaction A + B C + D (mol/s)

    When we say rate we always refer to ONE of the components in the reaction

    The minus sign refers to that the concentration of reactant decreases in reaction Reaction rate equation (or kinetic equation)

    Many forms exist

    The most common one

    where k reaction rate constant

    A0 pre-exponential factorEa reaction activation energy

    a,b,l,d reaction orders with respect to A, B, C, D, respectively

    R gas constant

    T reaction temperature in Kelvin scale

    Chemical React ions

    [A]or

    [A][A]

    12

    12 dt

    dr

    ttr AA

    RT

    EAkk

    dt

    dr aA

    -expin which[D][C][B][A]

    [A]0

    dlba

    Ar rhenius equation

    Kineticparameters

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    Chemical Reaction Kinetics

    Meanings of kinetic parameters, k, A 0, Ea, a b l d

    Reaction rate constant, k It tells how fast a reaction can occur

    It is a constant dependent on temperature but independent of concentrations

    Pre-exponential factor,A0 It refers to the frequency of collision between molecules, the higher frequency, the faster rxn

    Reaction activation energy, Ea

    It can be understood as the energy

    barrier for a reaction to overcome

    The higher Eavalue is, the more

    difficult for a reaction to occur

    Reaction orders w.r.t. each component, a, b, l, d

    The magnitude of these values reflects the effectiveness of each component in the reaction

    The values of a, b, l, dcan be positive or negative or zero

    The values of a, b, l, dcan be integrals or fraction

    All these kinetic parameters have to be determined experimental ly

    Chemical React ions

    RTEAk a-exp0

    reaction process

    Ea reactant

    productenergy

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    Chemical Reaction Kinetics

    Factors affecting the rate of a chemical reaction

    Reaction temperature, T

    An increase Twill lead to increasing k, thus reaction rate.

    The dependence of kon Tis given by differentiating kexpression,

    the higher Ea value is, the more significant of the effect of increasing T on the reaction rate

    Concentration of reactants / products

    The effect of increasing a concentration is positive if the respective order is positive

    The larger the value of order is the stronger the effect of increasing conc on the rate

    When order equals to zero, there is no effect of concentration on the rate.

    The presence of a catalyst

    A catalyst can alter reaction rate (speeding up desired rxns or slowing down undesired rxns)

    Note: we assume rate of mass transfer (to meet) is sufficient high comparing to rA.

    Chemical React ions

    [D][C][B][A]-exp0dlba

    RTEAr aA

    200

    ln

    -

    lnln

    -

    exp RT

    E

    dt

    kd

    RT

    E

    AkRT

    E

    Ak

    aaa

    Ch i l R t i

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    Chemical Reaction Kinetics

    The reaction rate and mass transfer rate

    When we discuss the reaction rate, it only makes sense if there are sufficient number

    reactant molecules can be delivered to the reaction site.

    We say a reaction is kinetic controlwhen the rate of mass transfer > the rate of rxn rA.

    This means that molecules being transported

    to the reaction site are queuing for reaction

    If the mass transfer rate is slower than the reaction rate, the overall rate we observed

    will be the rate of mass transfer, not the reaction rate - diffusion control

    This means that molecules are waiting to be delivered

    before reacting queuing for reaction

    The concept of rate determining step (r.d.s.)

    The slowest step in a reaction process determine the overall rate of a reaction

    Chemical React ions

    masstransfer reaction

    masstransfer

    reaction

    Ch i l R t i

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    Chemical Reaction Kinetics

    Catalysis and catalysts

    Catalyst is a substanc e which can alter react ion rate w ithou t i tsel f beingdestroyed or consumed(many other definitions and this is one of them)

    95% of chemical industries apply one or more catalysts in their processes

    e.g. polymerisation, air/water depolution, ammonia synthesis, cracking heavy oil to

    LPG, etc

    A catalyst can be an acid, a base; can be a liquid or a solid. Most industrial catalysts

    are metals, metal oxides or a mixture of them formulated & made in special ways

    Use of catalysts in industry

    Speeding up desired reactions thus increase the process output

    Slowing down undesired reaction thus reduce the unwanted waste products

    Altering reaction route by changing the relative speed of certain steps in a reaction network

    therefore realising certain products which would not be possible without catalysts.

    Allowing some rxns to occur under mild conditions e.g. working with heat sensitive materials

    Enzymes are catalysts that participate in bio-active processes

    etc

    Chemical React ions

    Chemical React ions

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    Chemical Reaction Kinetics

    Calculation of reaction rate

    Example: a gas phase reaction 2N2O5=4NO2+O2occurs at 300C. The concentrations of N2O5foundin the reaction mixture at different time intervals are given below:

    t h 0 1 2 3 5 7 9

    [N2O5] mol/L 1.40 1.07 0.80 0.58 0.34 0.18 0.09

    Calculate the rxn rates w.r.t. N2O5, NO2& O21) betw. 0-1h; 2) betw. 3-5h; 3) average betw 0-9h.

    N2O5consumption rate NO2formation rate O2formation rate

    Eqns to use:

    1) 0-1 h

    2) 3-5h

    3) aver.

    Chemical React ions

    12

    1221

    12

    1224

    12

    12[A][A]

    ;[A][A]

    ;[A][A]

    2252 ttr

    ttr

    ttr ONOON

    hmol/L1650

    01

    4010710.66;

    01

    4010710.33;

    01

    401071 21

    24

    2252

    .

    ..r

    ..r

    ..r ONOON

    hmol/L060

    01

    5803400.24;

    01

    5803400.12;

    35

    580340 21

    24

    2252

    .

    ..r

    ..r

    ..r ONOON

    hmol/L0730

    01

    4010900.291;

    01

    4010900.146;

    09

    401090 21

    24

    2252

    ...

    r..

    r..

    r ONOON

    Chemical React ions

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    Chemical Reaction Kinetics

    More about reaction rate 2N2O5 = 4NO2 + O2

    1) 0-1 h rN2O5=0.33 rNO2=0.66 rO2=0.165 mol/Lh

    2) 3-5h rN2O5=0.12 rNO2=0.24 rO2=0.06 mol/Lh

    3) aver. rN2O5=0.146 rNO2=0.291 rO2=0.073 mol/Lh

    For the same reaction, the reaction rate expressed by different components varies

    with their stoichiometry coefficients

    rN2O5: rNO2: rO2 = 2 : 4 : 1 or

    Given reaction rate for one of the rxn components you should be able to calc others.

    For the same reaction the reaction rate may vary with the time

    because of change of reactant concs with time & rate in general is proportional to [ ]s.

    When rxn orders w.r.t. reactant > 0 (usually they are) the rxn rate rbeginning> rlater

    As reaction rate is a function of temperature, the determination of reaction of reaction

    rate must be done at a constant temperature (you may need to determine the rate at

    a different T, or you may need to vary temperature to determine such as Ea

    Dont forget to put the correct unit to the reaction rate you determined

    Chemical React ions

    1

    4

    22252 ONOON rrr

    Chemical React ions

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    Chemical Reaction Calculations

    Question 1. How many grams of water are produced in the oxidation of 1.0g of glucose,

    C6H12O6? Reaction equation: C6H12O6+ 6O2= 6CO2+ 6H2O

    Step 1: Use molar mass of glucose to convert g to moles

    1 mole C6H12O6=6x12(C)+12x1(H)+6x16(O)=180g/mol

    number of moles C6H12O6=1.0g x (1mol/180g)=5.55x10-3mol

    Step 2: Use balanced equation to determine no. of moles of H2O produced

    1 mole C6H12O6produces 6 moles H2O

    the no. of moles of H2O produced: 5.55x10-3moles C6H12O6x6=0.033 moles H2O

    Step 3: Convert moles of H2O to grams using molar mass

    1 mole of H2O=2x1(H)+1x16(O)=18 g/mol

    Grams of H2O produced: 0.033 mol of H2Ox(18g/mol)x = 0.6g H2O (answer)

    Note: You cannot use the weight directly in the calculation. It has to be converted to moles.

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    Chemical Reaction Calculations

    Question 2. In a reactor one put 180g of glucose (C6H12O6) and 160g of O2. Can you

    produce 108g of H2O. Why? What is the maximum amount of H2O which canbe produced? Reaction equation: C6H12O6+ 6O2= 6CO2+ 6H2O

    Step 1: Convert all components from grams to moles:

    No.moles of C6H12O6=180g/190g/mol=1 mole of C6H12O6

    No.moles of O2= 160/32g/mol=5 mole of O2

    No.moles of H2O= 108/18g/mol=6 mole of O2

    Step 2: Find out how much glucose AND O2you need to produce 108g H2O.

    To produce 108g which is 6 moles of H2O, you will need 1mole glucose AND 6 moles of O2.

    Do we have enough glucose? - Yes. Do we have enough O2? - No.

    Step 3: Every 6 molecules of O2will burn 1 molecule of glucose, this will proceed UNTIL

    one of the reactant consumed completely, in this case O2.

    When all O2is consumed the reaction will stop and the max. amount of H2O which can be

    produced can be calculated from O2available: 5moles of O2gives 5moles (or 90g) of H2O

    Note: When one of reactants is consumed completely the reaction will stop.

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    Chemical Reaction Calculations

    Question 3. As in Question 2, one puts 180g of glucose (C6H12O6) and 160g of O2. When

    O2is completely consumed, what is the glucose left & what is the percentageconversion of glucose? Reaction equation: C6H12O6+ 6O2= 6CO2+ 6H2O

    Step 1: Convert all components from grams to moles:

    No.moles of C6H12O6=180g/190g/mol=1 mole of C6H12O6

    No.moles of O2= 160/32g/mol=5 mole of O2

    No.moles of H2O= 108/18g/mol=6 mole of O2

    Step 2: Find out how much glucose left after all O2has consumed.

    The molar ratio of glucose and O2in the reaction=1:6. For a consumption of 5 moles of O2,

    the amount glucose reacted will be 1x5/6=5/6 moles or 0.83 moles, or 0.83x180=150g.

    The amount glucose left over=1-0.83=0.167moles or 180-150=30g

    Step 3: The percentage conversion of glucose at complete conversion of O2

    (try the weight base)

    Note: The conversion (%) calculated based on moles is the same as that based on weight .

    Chemical React ions

    %.%.

    %conversion 3831001

    83301100

    [A]

    [A][A](%)

    in

    outin

    Chemical React ions

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    Chemical Reaction Calculations

    Question 4. The brown gas NO2can form colorless gas N2O4, 2NO2DN2O4. At 25C the

    concentrations of NO2& N2O4are 0.018 M & 0.055 M respectively when atequilibrium. 1) Calculate the equilibrium constant Keqat 25C. 2) If in another

    equilibrium system of the same gases at the same temperature, the NO2

    concentration is found to be 0.08 M, what is the concentration of N2O4?

    Step 1: Determine the equilibrium constant

    From equilibrium constant definition:

    Step 2: When at equilibrium

    Chemical React ions

    1700.018

    0550

    ][NO

    ]O[N22

    2

    42

    .Keq

    M08811700.08]O[N1700.08

    ]O[N

    ][NO

    ]O[N 2422

    42

    2

    2

    42 .Keq

    Chemical React ions

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    Chemical Reaction Calculations

    Question 5. The rate constants of a reaction are determined to be 3x10-5mol/L.h at

    200C and 4x10-4mol/L.h at 250C. Estimate the reaction activation

    energy.

    Arrhenius eqn relates the rate constant to activation energy

    Mthd.1: lnk=lnA0+(-Ea/R)(1/T), A plot of lnkagainst 1/Twill produce a

    straight line, the slope of which is -Ea/R. So that Ea=slope x R

    Ea=-12750 x 8.314=106,000 J/mol= 106 kJ/mol

    Mthd 2:

    Let A 0,1=A 0,2

    T1=273+200 K, T2=273+250 K, k1=3x10-5& k2=4x10

    -4mol/L.h, R=8.314 JK/mol

    RT/EaeAk 0

    2120

    10

    20

    10

    2

    1

    20

    10

    2

    1

    202101

    lnlnln

    &

    2

    1

    2

    1

    21

    RT

    E

    RT

    E

    A

    A

    eA

    eA

    k

    k

    eA

    eA

    k

    keAkeAk

    aa

    ,

    ,

    RT/E

    ,

    RT/E

    ,

    RT/E

    ,

    RT/E

    ,

    RT/E

    ,

    RT/E

    ,

    a

    a

    a

    a

    aa

    2

    1

    21

    21

    21

    21

    212

    1 lnorln

    k

    k

    TT

    TRTE

    TRT

    TTE

    RT

    E

    RT

    E

    k

    ka

    aaa

    kJ/mol106104

    103ln

    250273200273

    2502732002733148ln

    4

    5

    2

    1

    21

    21

    .

    k

    k

    TT

    TRTEa

    1/T

    ln kslope= -12750

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    Chemical Reaction Calculations

    Question 6. Two catalysts A & B are compared for their catalytic activity for reaction RP.When A is present it takes 10s for Rto change from 2 to 0.5 moles and when

    B is present it takes 20s for R to decrease from 5 to 2 moles at the same

    temperature and with the quantities of catalyst.

    Which catalyst is more active for the reaction concerned?

    Answer: The activity of two catalysts can be compared based on the average reaction

    rate when A & B presence separately.

    The A catalyst is more active for the reaction concerned.

    mol/s10020

    5-3][-][

    mol/s15010

    2-.50][-][

    12

    12

    .t

    RRr

    .t

    RRr

    B

    B,B,

    B,R

    A

    A,A,

    A,R

    D

    D

    Chemical React ions

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    Chemical Reaction Calculations

    Question 7. Verify that the rate constant of a reaction following second order rate law

    rA=-k[A]

    2

    can be determined from the slope of a line obtained by plotting 1/[A]tagainst reaction time t, where [A]tis the concentration of A measured at time t.

    Answer: Second order rate law: (1)

    rearrange: (2)

    Define boundary conditions: at t=0, [A]=[A]0and at t=t, [A]=[A]tintegrate eqn (2),tfrom 0-tand [A] from [A]0to [A]t

    (3)

    compare eqn (3) with linear eqn Y=aX+B, which is a straight line with slope a

    Let

    A plot of vs. twill give a straight line with slope=k.

    2[A][A]

    kdt

    drA

    kdtd

    kdt

    d

    2

    2

    [A]

    [A][A]

    [A]

    0t0t

    t

    0

    [A]

    [A] 22 [A]

    1

    [A]

    10

    [A]

    1

    [A]

    1[A]

    [A]

    1-

    [A]

    [A] t

    0

    kttkdtkdkdt

    d

    0t [A]

    1and

    [A]

    1 btX,ka,Y

    t[A]

    1

    t

    slope=k

    1/[A]

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    Chemical Reaction Calculations

    Question 8. Reaction RPfollows the second order rate law rR=-k[R]2. Verify that the time

    required for the reactant Rto fall to a half of its initial value is t1/2=1/(k[R]).Answer: Second order rate law: (1)

    After integration of eqn (1) with the boundary conditions:

    at t=0, [R]=[R]0& at t=t1/2, [R]=[R]t1/2=0.5[R]0

    2[R][R]

    kdt

    drR

    0

    21

    0000

    21

    00

    21

    0

    21

    00t

    [R]

    1

    [R]

    1

    [R]

    21

    [R]

    1

    0.5[R]

    11

    [R]

    1

    0.5[R]

    1

    [R]

    1

    0.5[R]

    1

    [R]

    1

    [R]

    1

    kt

    kktkt

    ktkt

    /

    //

    /

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    Homogeneous and Heterogeneous Reactions

    In a chemical reaction, the reactants can be in various physical states

    Homogeneous - All of reactants & products in the same phase & no phase boundary

    Heterogeneous - Involving multi-phases & phase boundary crossing

    Phase Type Example

    gas - gas Homog. 2NO + O2= 2NO2

    gas - liquid Hetrog. CO2 + H2O = H2CO3

    gas - solid Hetrog. O2 + Fe = Fe2O3

    liquid - liquid (miscible)* Homog. NaOH + HCl = NaCl + H2O

    liquid - solid Hetrog. CaO + H2O = Ca(OH)2

    solid - solid Hetrog. CaCO3= CaO + CO2

    * When two immiscible liquid, such as oil and water is regarded as heterogeneous type.

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    Phase & Phase Change

    A substance can exist in different physical states

    Gas / vapour

    Liquid

    Solid

    Note: Some other states may sometime mentioned.

    such as liquid-crystal, super-critical state, gel. etc.

    The temperatures at which phase changes occur

    vary with substances and circumstances (e.g. P)

    The energy required for phase change varies with

    substances and type of phase change.

    The energy possessed by molecules of the same

    substance at different state are different

    liqui

    d

    solid

    sublimation d

    epositio

    n

    condensatione

    vaporation

    melting

    freezingE

    nergy

    leve

    l

    gas

    Temperature

    Energy (heat) added

    ice

    liquid

    water

    water

    vapour

    melting

    evaporating

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    Reactions In Liquid Phase - Solution

    Solution = solute + solvent

    Solute is a solid or a gas - solute is dissolved in solvent(e.g. NaCl + H2O, O2+ H2O)

    Solute is another liquid - solute and solvent are miscible (e.g. C2H6O + H2O)

    solute in a solution can exist as molecules or ions, or both (such as weak acid)

    some solutes are dissolved in a solvent in any proportions (e.g. C2H6O in water); others are

    only dissolved in a solvent in certain proportion - solubility limitation (e.g. NaCl or N2in H2O)

    Concentration of a solution - the amount of solute in the solution

    Molar concentration (molarity) - number of moles solute in ONE litre solution

    Molarity is the most commonly used concentration unit in chemistry

    Weight percentage (wt.%) of solute in solution

    definition: solute wt%=100% x (wt of solute)/(wt. of solute + wt. of solvent)

    e.g. A solution contains 20g solute & 30g solvent

    solute wt%=100% x 20/(20+30)=40wt% (the wt% of solvent =100%-40%=60%)

    solute- substance that is dissolved

    solvent- dissolving medium

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    Reactions In Liquid Phase - Solution

    Some important notes on the chemical reaction in solution

    When a solute dissolve in solution, solute can either be present as molecules or ions

    as molecules. e.g. dissolving sugar in water - not electronic conductivity.

    as ions. e.g. dissolving salt (NaCl) in water - Na+& Cl-both conduct electricity.

    Strong acids or base, when dissolved in H2O, form only ions in solution

    Weak acid or base, when dissolved in H2O, form mixture of molecules and ions (partial dissociatn)

    The solubility of some gas solutes, when dissolved in a solvent, depends on thepressure of the solute gas above the solution

    ideal solution: Pi=xiPi* or xi=Pi/ Pi* in which

    Solvent molecules may form weak bond with solute molecules (e.g. Hydrogen-bond),

    which may to a certain degree change the reactivity of solute.

    The presence of solute may affect certain properties of the resultant solution

    e.g. boiling point elevation, freezing point depression, osmosis pressure, etc.

    Pi- vapour pressure of solute i

    xi- mole fraction of solute iin solution

    Pi* - equil. vapour pressure ofpuresolute i

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    Gas Phase Reactions

    Distinctive features of molecules in gas phase in relation to reaction

    Having high energy Sometime a liquid or even a solid substance is heat to gas phase to react

    e.g. steam reforming hydrocarbons, heavy oil cracking,

    Moving freely within the space of reaction

    High mass transfer rate - General magnitude of mass transfer rate in solid, liquid and gas

    solid 100 liquid 103 gas 105

    High heat transfer rate - This is very important for reactions involving heating/cooling

    In practice, many reactions in which the reactants are liquid or solid at normal temperature

    are carried out at elevated temperatures in order to convert the reactants to gas

    Compressible therefore sensitive to the reaction pressure

    This has implication on the reactions involving the change of number of moles before and

    after reaction. The main disadvantages of the gas phase reactions are

    Usually high volume (large reactor)

    not suitable for heat sensitive substances if heating to high temperature is required.

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    Solid Phase Reactions

    Solid phase reactions are usually slow due to limited mobility of molecules

    When a solid reacts with another reactant which is liquid or gas, the

    reaction starts from outer surface of the solid

    In industry if a reaction involves a solid reactant (at ordinary temperature)

    what we usually do is

    dissolving solid in solvent

    heating it to above the melting point so that it takes part in reaction as a liquid

    Many catalytic reactions use solid catalysts

    The reactant in this case can be a liquid or a gas or liquid-gas mixed phase

    Solid catalysts are very easy to separate from liquid, gas or a liquid-gas mixture

    It is easy to handle solid catalysts from practical point of view (loading, discharge etc)

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    Reactions involve multi-phases

    Many reactions involve multi-phase in one reactor

    reactants and products can be presented as any combination of two or three phases.

    When multi-phases present in a rxn following issues become important:

    Relative rate of reactant and/or product molecules diffusion within each phase as well

    as through phase boundaries must match the rate of reaction

    Solubility of solids and/or gases in liquid phase When a porous solid is involved the liquid/gas molecules transport within the pore

    Both pressures (for gas phase) and concentrations (for liquid) are interlinked in the

    reaction network therefore these have to be considered systematically.

    When reaction involves heating or cooling, as most of reactions do, this has to be

    dealt with by considering both mass transfer and heat transfer within and betweendifferent phases.

    The main advantage of multi-phase reactions is the easiness for separation

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    Example of Reactions involving multi-phases

    The long journey for reactant molecules

    j. travel within gas phasek. cross gas-liquid phase boundary

    l. travel within liquid phase

    m. cross liquid-solid phase boundary

    n. reach outer surface of solid

    o. travel with pore

    p. reach reaction site

    q. be adsorbed on the site and activated

    r. react with other reactant molecules (eitheradsorbed or approached from surface above

    Product molecules must follow the reverseprocess to return to gas phase

    Heat transfer follows similar process

    j

    r

    gas phase

    poreporoussolid

    liquid

    phase

    k

    l

    mn

    o

    pq

    gas phase

    reactant molecule

    Chemical React ions

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    Acids and Bases

    Acids & Bases are one of the most important classes of chemicals

    Acids and bases have been know to human for a long time

    Acids taste sour (in fruit), change colour of certain dye

    Bases taste bitter and feel slippery (like in soap, lime water)

    Acids and bases are widely present in nature,

    especially in plants, electrolyte balance in life system cycle etc

    Acids and bases are widely used in industry for various purpose

    Dissolving chemicals, e.g. HF, aqua regia(HCl:HNO3=3:1)

    Reagents for producing various chemicals

    Catalysing various types of reactions

    Titration in volumetric analysis

    etc

    A id d B D fi iti

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    Acids and Bases - Definition

    Classical definition

    Acids- Substances that, when dissolved in water, increase the concentration of H+ions

    e.g. HCl(g) H+(aq)+ Cl-(aq)

    Note: H+, which is a proton only (no e- ), is actually bond with water molecule forming H3O+, the rxn is

    HCl(g)+ H2O (l) H3O+(aq)+ Cl

    -(aq)

    For simplicity, we often use H+instead of H3O+.

    Bases - Substance that, when dissolved in water, increase the concentration of OH-ions

    e.g. NaOH OH-(aq)+ Na+(aq)

    NH3+ H2O NH4++ OH

    -

    Brnsted-Lowry definitionAcid isproton donorand Base isproton acceptor

    (because H+is a proton and OH-of a base reacts with H+giving water)

    H2O

    H2O

    C j t A id d B P i

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    Conjugate Acid and Base Pairs An acid & a base always work together to transfer proton (donate-accept). A substance

    can function as an acid only if another substance behaves simultaneously as a base.

    When an acid or a base is dissolved in water, ions are released - this process involvesproton transfer. To mark the process and link the ions with its original acid or base,

    conjugate acid-base pairs are defined.

    Acid and conjugate base always appear in pair; likewise base and conjugate acid appear in pair

    When an acid losses proton (H+) it becomes the conjugate base of that acid (e.g. HX to X -)

    when a base receives a proton (H+) it becomes the conjugate acid of that base (H 2O to H3O+)

    If an acid dissolves in water, H2O is a base; if a base dissolves in water, H2O becomes an acid.

    remove H+

    HX(aq) + H2O (l) X-(aq) + H3O

    +(aq)

    acid base conjugate base conjugate acidadd H+

    remove H+

    HCl(aq)+ H2O(l) Cl-(aq) + H3O

    +(aq)acid base conjugate conjugate

    base acid

    add H+

    add H+

    NH3(aq)+ H2O(l) NH4+(aq) + OH-(aq)

    base acid conjugate conjugateacid base

    remove H+

    Strengths of Acids and BasesChemical React ions

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    Strengths of Acids and Bases

    The strength of acids and bases

    The strength of an acid is the ability to donate proton,

    or increase [H+] when acid is dissolved in water. likewise, the ability to accept proton, or [OH-],

    determine the strength of a base

    Common acids and their relative strengths

    Strong acids,paired with bases with negligible basicity

    -Able to completely transfer their proton to water

    - Their conjugate bases are the weakest, with negligible

    tendency to accept proton

    Weak acids,paired with week bases

    - These acids are partially dissociated to ions

    - Their conjugate bases are also weak, with limited ability of

    accepting proton

    Acidswith negligible acidity,paired with strong bases

    - These class of acids, though carrying H, give out no [H+]

    - Their conjugate bases, however, are strong bases

    Water can act as acid as well as base

    acid base

    HCl Cl-

    H2SO4 HSO4-

    HNO3 NO3-

    H3O H2O

    HSO4 SO42-

    H3PO4 H2PO4HF F

    -

    HC2H3O2 C2H3O2-

    H2CO3 HCO3-

    H2S HS-

    H2PO4 HPO42-

    NH4 NH3HCO3 CO3

    2-

    HPO4

    PO4

    3-

    H2O OH

    -

    OH O2-

    H2 H-

    CH4 CH3-

    acid

    strength

    in

    crease

    base

    s

    trengthincrease

    negligible

    weak

    strong

    negligible

    weak

    strong

    A id d B E ilib i

    Chemical React ions

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    Acid and Base Equilibrium

    The extent of ionisation of an acid or a base in water

    Some acids (or bases) ionise in water completely, leaving no molecules behind

    Other acids (or bases) ionise partially in water, forming an equilibrium between

    molecules and ions

    e.g. HF(aq) + H2O (l) D F-(aq) + H3O

    +(aq) (1)

    NH3(g) + H2O (l) DNH4+(aq) + OH

    -(aq) (2)

    The tendency of ionisation of an acid (or a base) varies with the type of acids, we

    can use the concept of reaction equilibrium to indicate the degree of ionisation.

    The equilibrium constant used to describe the degree of ionisation of an acid is

    called acid-disso ciat ion con stant, Ka, which is defined as

    for equili. (1)

    for equili. (2)

    [HF]

    ]][H[For

    [HF]

    ]O][H[F-

    3

    -

    aeqa KKK

    ][NH

    ]][OH[NH

    3

    4

    eqa KK

    ions

    molecule

    The higher the Kavalue, the higher

    ion conc., the higher acidity/basicity

    Q tif i th St th f A id d B

    Chemical React ions

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    Quantifying the Strength of Acids and Bases

    [H+] and [OH-] are the measure of the strengths of acids and bases

    We know that an acid when dissolved in water releases [H+] and a base gives [OH-] We also know that the strengths of an acid or a base depend on the [H+] and [OH-]

    It comes naturally that [H+] & [OH-] are used to indicate the strengths of acids/bases

    The range of [H+] and [OH-]

    Dilute aqueous solutions at 25C always give,

    Kw=[H+][OH-]=1.0x10-14

    For an acid [H+]>[OH-], Kw=[H+][OH-]=1.0x10-14

    For a base [OH-]>[H+], Kw=[H+][OH-]=1.0x10-14

    For pure water, which is neutral

    [H+]=[OH-]=1.0x10-7, Kw=[H+][OH-]=1.0x10-14

    pH scale

    For convenience the low value of [H+] and [OH-], we use the scale of log10[H+]

    define pH= -log10[H+] Scale: 1-14. Acid pH=0-7 [H+]>[OH-]; strong acids have low pH

    Base pH=7-14 [OH-]>[H+]; strong bases have high pH

    Note: When using [OH-] (which is less used), we have pOH= -log10[OH-] (=14-pH)

    water can act as an acid as well as a base

    at equilibrium H2ODH++ OH-

    Equili. constant at 25 C is found to be

    Further examine other aqueous solution

    the same relation holds

    14-

    2

    101.0]][OH[HO][H

    ]][OH[H

    wK

    In pure water [H2O] is constantKnown [H+], [OH-] can be calculated by this eqn.

    Calculation of pHChemical React ions

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    Calculation of pH

    Example 1: Calculate pH of 0.05M HNO3solution

    HNO3 + H2O H3O+

    + NO3-

    HNO3is a strong acid, HNO3ionizes completely in water, i.e. [H3O+]= 0.05M

    pH = - log10[0.05] = 1.3

    Example 2: Calculate pH and pOH of 0.05M NaOH solution

    NaOH + H2O Na+ + OH-

    NaOH is a strong base, NaOH ionizes completely in water, i.e. [OH-]=0.05M,

    Kw= [H3O+][OH-] = 1 x10-14M2

    [H3O+] = 1 x10-14M2/ [OH-] = 1 x10-14M2/ 0.05 M = 2 x 10-13M

    pH = - log10[2 x 10

    -13

    ] = 12.7 pOH = 14 - pH = 14 - 12.7 = 1.3

    (why is this result the same as that of example1?)

    Calculation of pHChemical React ions

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    Calculation of pH

    Example 3: What is the [OH-], in mol/L, in a solution whose pH is 9.72?

    Known: pH = - log10[H3O+

    ] = 9.72

    [H3O+

    ] = 1.9 x 10-10

    (mol/L)for any aqueous solution Kw= [H3O

    +][OH- ] = 1.0 x 10-14 (mol/L)2

    [OH- ] = Kw/ [H3O+] = 11.0 x 10-14 (mol/L)2/ 1.9 x 10-10(mol/L) = 5.3 x 10-5 (mol / L)

    Example 4: The acid-dissociation constant, Ka, of hydrofluoric acid is 6.8x10-4. What is

    the [H3O+] in a 2M HF solution? What is the pH of the solution?

    HF(aq) + H2O(l) F-(aq) + H3O+(aq)

    initial 2 0 0

    at equili. 2 - x x x

    By definition

    Solve the eqn forx( = [H3O+])

    pH = - log10[H3O+] = - log10(0.0365) = 1.44

    43

    -

    1086-2

    [HF]

    ]O][H[F

    .x

    xxKK eqa

    M03650108621086 442 .x.x.x

    A E ilib i d S A li ti

    Chemical Equil ibr ia

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    Aqueous Equilibria and Some Applications

    In chemistry many aqueous systems involve equilibria

    Human body fluids are in electrolyte equilibria in order to function properly Electrolyte: aqueous solutions that contain ions

    Plants contain weak acids, which maintain right balance for plants to grow

    Many properties of a solution that has ions are affected by its equilibrium state.

    etc. (In a broad sense, harmony=balance=equilibria)

    Many phenomena in chemistry can be studied by means of equilibria.

    We will look at:

    The behaviour of an equilibrated electrolyte solution when other ions are added

    Applications

    Buffer effect

    Acid-base titration

    Solubility of ionic substances and the factors affecting it

    The Common Ion Effect from Equilibrium

    Chemical Equil ibr ia

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    The Common-Ion Effect from Equilibrium

    Considering the following two cases

    Case 1. What is the pH of 0.3M acetic acid HC2H3O2solution, (Ka=1.8x10-5)?

    HC2H3O2(aq) DH+ (aq) + C2H3O2

    -(aq)

    initial 0.3 0 0

    at equilibrium 0.3-x x x

    By definition

    Solve eqn for x

    5

    232

    -232 1081

    -0.3

    ]OH[HC

    ]OH][C[H .x

    xxKa

    6421032-log]-log[HpH

    M1032][H

    3

    3

    ..

    .x

    Note: HC2H3O2is a weak acid (Ka

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    The Common-Ion Effect from Equilibrium (contd)

    Case 2. What is the pH of solutncontains 0.3M acetic acid HC2H3O2& 0.3M NaC2H3O2?

    HC2H3O2(aq) DH+(aq) + C2H3O2

    -(aq)

    initial 0.3 0 0

    at equilibrium 0.3-x x 0.3+x

    By definition

    Solve equ for x

    Compare cases 1 & 2:

    The extent of ionisation of HC2H3O2is reduced by the presence of NaC2H3O2(which has

    C2H3O2-ion in common with HC2H3O2)

    This is called the Common- ion Effect. It works in many equilibrated electrolyte solutions

    such as buffer solutions, solubility of ionic compounds etc.

    5

    232

    -

    232 1081

    -0.3

    30

    ]OH[HC

    ]OH][C[H

    .

    x

    x.xKa

    Note:

    NaC2H3O2ionises in water completely

    NaC2H3O2(aq) DNa+(aq) + C2H3O2

    -aq)

    7441081-log]-log[HpHM1081][H

    5

    5

    ..

    .x

    Note:The presence of NaC2H3O2&

    Na+does not change Kavalue

    Note:C2H3O2-is the conjugate base

    of HC2H3O2

    Buffered Solutions

    Chemical Equil ibr ia

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    Buffered Solutions Behaviour of a solution containing a weak conjugate acid-base pair

    equilibrium of weak acid HX(aq) DH+(aq) + X-(aq)

    acid-dissociation constant

    If a base, OH-, is added, OH-(aq) + HX(aq) DH2O(aq) + X-(aq) [HX] & [X-]

    If an acid, H+, is added, H+(aq) + X-(aq) DHX(aq) [X-] & [HX]

    When the addition of OH-or H+is small compared to [HX] & [X-], the change to [HX] & [X-] is very

    small, so does the ratio [HX] / [X-] the [H+] thus pH will remain almost constant.

    A Bu ffered Solut io n(also called Buffer) contains a weak conjugate acid-base

    pair. It can resist drastic change of pH upon the adding strong acid or base.

    Buffers solutions are widely used in biology and biochemistry because of the

    need of maintaining certain pH for some reactions/process to occur properly.

    Note: Buffer solutions can be made for all pH ranges. The amount of acid or base it can

    neutralise before pH begins to change (called buffer capacity) depends on the [HX] & [X-].

    As the HC2H3O2and

    C2H3O2-pair in case 2

    ][X

    [HX]][H

    [HX]

    ]][X[H-

    -

    aa KK

    Solubility of Ionic Compounds

    Chemical Equil ibr ia

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    Solubility of Ionic Compounds

    Equilibrium between solid of ionic compound and its ions when dissolved

    dissolv ingCaCO3(s) Ca

    2+(aq) + CO32-(aq)

    precipi tat ion

    Equilibrium constant:

    solubi l i ty -produ ct constantKsp=[Ca2+] [CO3

    2-]

    When adding another strong electrolyte Na2CO3, which dissociates completely in

    water solution and contains common ions CO32-, into the above equilibrated solution

    The above equilibrium will shift to the left, meaning that the CaCO3solubility

    Reason?- Common-ion effect(Kspis constant, [CO32-] [Ca2+]

    [CaCO3] )

    Addition of common ions alter the equilibrated solubility of an ionic compound.

    (you may like to link this with the cases such as scale formation in kettle, kidney stone, etc.)

    Note:The solid CaCO3does not

    appear in the expression

    Solubility of Ionic Compounds

    Chemical Equil ibr ia

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    Solubility of Ionic Compounds

    Equilibrium between solid and its constituent ions containing OH-

    dissolv ing

    Mg(OH)2(s) Mg2+(aq) + 2OH-(aq)

    precipitat ion

    Many metal hydroxides are partially dissolved in solutn(or precipitated when formed)

    solubi l i ty -produ ct constantKsp=[Mg2+] [OH-]2

    When adding an acid, H+, into the above equilibrated solution, a reduction of solution

    pH occur due to the following reaction: H++ OH-DH2O, OH-in the solution is

    consumed thus reduced [OH-]

    [Mg2+] [Mg(OH)2] .

    This is also a kind of common-ion effect but working in reverse direction.

    Due to consumption of one of ions in the equilibrated solid-ions solution, theequilibrated solubility of an ionic compound is increased.

    (you may like to link this with the cases such as kettle de-scaling, tooth decay etc.)

    Note:the stoichiometric number raised

    to power in Kspexpression

    Titration

    Chemical App l icat ions

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    Titration

    A method to determine the concentration of a particular solute in a solution

    Titration reactions

    Acid base reactions (acid / base indicators, etc)

    Oxidation-reduction reactions (colour change, etc

    Precipitation (cloud appearance, etc)

    Standard solution - a solution with known concentration which is used to titrate.

    Equivalent point - The point at which stoichiometrically equivalent quantities are

    brought together. It is a theoretical point of reaching stoichiometry

    End point - The point at which a pre-determined indication of reaching the equivalent

    point effects. It is practically the point one stops adding standard solution

    and is usually very close to the Equivalent point

    Usual means of indicating the arrival at the end point

    Colour (indicators or the colour change of the substance itself before and after equiv. point

    Conductivity if the quantities of ions is used as an indication

    Others such as precipitation formation

    Acid - Base Titration

    Chemical App l icat ions

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    Acid Base Titration

    Typical titration curves of strong

    & weak acids by Strong base

    pH change of weak acids is less

    drastically as that of strong acids

    because of equilibrium shifting

    0 10 20 30 40 50 60

    pH

    14

    12

    10

    8

    6

    4

    20

    0 20 40 60 80 100mL NaOH

    H3PO3 H2PO3-

    HPO32-

    mL NaOH

    pH

    14

    12

    10

    8

    6

    4

    20

    strong acid

    Ka=10-2

    Ka=10-4

    Ka=10-6

    Ka=10-10

    Ka=10-8

    Equivalent point

    Typical titration curve of polyprotic

    acids by Strong base

    Different equilibria of ions with

    different charges

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    Introductory to Organic Chemistry

    Organic chemistry

    A branch of chemistry devoted to the study of carbon-containing (organic) molecules All life forms on earth have organic molecules as their basic building blocks

    The most important carbon-containing molecules are hydrocarbons (HCs)

    General characteristics of hydrocarbons (HCs)

    Hydrocarbons (HCs) - molecules contains mainly carbon (C), hydrogen (H)

    Bonds and general structures The bonds of HCs are mainly covalent, formed between C and C (C-C, C=C or CC), H (C-

    H), O (C-O or C=O) and others such as N (C-N).

    The C-C bonds forms the backbone or skeleton of HCs and Hs are at surface

    Functional groups (FGs)

    Many FGs attached to C-C skeleton give HCs various unique function and properties.

    Stability

    All HCs can burn in oxygen easily giving heat.

    C-C single bonds are most stable (- > = > ), C-H & C-FGs are easy to break

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    Introductory to Organic Chemistry

    There are four types of HCs (based on the kinds of C-C bonds)

    Alkanes (C-C)

    contain only C-C bonds in this group of molecules, also called saturated HCs

    Alkenes (C=C)

    contain C=C bonds

    Alkynes (CC)

    contain CC bonds unsaturated HCs

    Aromatics

    carbon atoms are connected in a planar ring structure

    usually possess special odour

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    Introductory to Organic Chemistry

    Alkanes

    Most stable HCs Its molecular formula can generally be written as CnH2n+2, where nis the number of

    carbon atoms in molecule.

    Most common alkanes

    Name Molecular Condensed Lewis structure Boiling

    formula structure formulary point

    methane CH4 CH4 -161C

    ethane C2H6 CH3CH3 or CH3-CH3 -89C

    propane C3H8 CH3CH2CH3 -44C

    butane C4H10 CH3CH2CH2CH3 -0.5C

    pentane C5H12 CH3CH2CH2CH2CH3 36C

    H

    H

    H-C-HH

    H

    H-C-C-HH

    H H

    H

    H-C-C-C-HH

    H

    H

    HH

    H

    H-C-C-C-C-HH

    H

    H

    H

    H

    H H

    H

    H-C-C-C-C-C-HH

    H

    H

    H

    H

    H

    H

    H

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    Introductory to Organic Chemistry Some general points about HCs

    Straight-chainHCs: All carbon atoms are joined in a non-branched chain

    C-C C-C-C -C-C-C-C- C-C-C-C-C=C-C-C-C

    Branched-chainHCs C

    -C-C-C- -C-C-C C-C-C-C-C=C-C-C C-C-C-C-C=C

    C C C C C

    Structural isomers

    compounds that have the same C C

    molecules formulas but with C-C-C-C-C=C C-C-C-C-C=C

    different bonding arrangement C C C C

    There is a system way of naming HCs

    to differentiate the isomers with different structures

    We can sometimes write only carbon atoms to show the structure & bonds, as

    shown above

    All of these are isomers of C9H18

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    Introductory to Organic Chemistry

    Alkenes

    Less stable than alkanes Its molecular formula can generally be written as CnH2n, where nis the number of

    carbon atoms in a molecule.

    The double bond C=C can locate between any two C (n equal to or larger than 2).

    There can be more than one double bonds in an alkene

    Isomers exists when n equal or larger than 4.

    Common alkenes

    ethene or ethylene CH2=CH2or CH2CH2 (ethene is a plant hormone)

    propene or propylene CH3

    -CH=CH2

    or CH2

    CHCH2

    (play key role in fruit ripening)

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    y g y

    Alkynes

    Least stable - very active It molecular formula can generally be written as CnH2n-2, where nis the number of

    carbon atoms in molecule.

    The triple bond CC can locate between any two C (n equal to or larger than 2).

    There can be more than one triple bonds in an alkyne

    Isomers exists when n equal or larger than 4.

    Common alkenes

    acetylene CH

    CH or CHCH very active. Burn in oxygen - oxiacetylene torch

    with flame temperature 3200K.

    Very important intermediates in chemical industry

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    y g y Aromatic HCs

    More stable than alkenes and alkynes, though there are unsaturated bonds. Most common aromatic HC is benzene

    Examples of other aromatic compounds

    H

    H

    or

    C

    C

    C C

    C

    C

    H

    HH

    HCH3

    Tuluene

    CH3

    CH3

    H3C

    H3C

    H3C

    HH

    Cholesterol

    HO

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    y g y

    Some common functional groups

    Alcohols (name suffix -ol)Soluble in H2O; use in food, medicine, cholesterol is an alcohol

    Ethers (name suffix ether)

    Mostly used as solvent

    Aldehydes (name suffix -al)

    Flavour (vanilla, cinnamon etc)

    Ketones (name suffix -one)Such as acetone used extensively as solvent

    Carboxylic acids (name suffix -oic acid)

    Sour veg, fruits; application in polymers, fibres, paints

    Esters (name suffix -oate)

    very pleasant odour (fruits)

    Amines and Amides (name suffix -amide)

    Are key functional group in protein structure

    R-OH

    R-O-R

    O

    R-C-H

    O

    R-C-R

    O

    R-C-OH

    O

    R-C-O-R

    O

    R-C-N-R

    Introductory to Biochemistry

    Chemistry for Life

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    y y

    Some general remarks on Biochemistry

    Biochemistry - Biological chemistry which studies living species in chemical means Looking at the compositions and structure of biochemical molecules, and try to understand

    their functions at molecular level.

    Looking at the properties these molecules especially from biological point of view

    The change processes of these molecules in relation to its role in life cycle

    Making use of our knowledge for human benefits

    General observations on biochemical molecules

    The molecules are generally very large, molecular wt in the range of 1,000s -1,000,000s

    They are generally very complicated in structure, yet they contains mainly C, O, H as their

    main building blocks and some other atoms such N, P, S in their functional groups

    The specific ways of these molecules are structured make them specific functions in

    biological processes.All life processes of mammals and other animals on the Earth require energy (processes of

    bio-molecule synthesis are endothermic in large), which, ultimately coming from the Sun,

    are obtained indirectly through plant photosynthesis.

    In t rodu ctory to Biochem ist ry- Proteins

    Chemistry for Life

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    Proteins and Amino acids

    Proteins are big molecules present in living cells (~50% dry wt of our body)animal tissues, skin, hair, nails, muscles

    All proteins are chemically similar

    All proteins are composed of the same building blacks - a-amino acids

    a-amino acids are linked by amidegroups, which is formed by reaction between

    -C-O-and H-N- groups of 2 amino acids after dropping a H2O, into proteins

    H

    R

    +

    H3N-C-C-O

    -

    OH

    RH2N-C-C-OH

    O

    or

    H

    H

    O

    H

    R

    +H3N-C-C-O-

    O

    H

    e.g. + = + H2O

    H

    R

    +H3N-C-C-O-

    O H

    R

    +H3N-C-C-N-C-C-O-

    O OH

    R

    amide group

    In t rodu ctory to Biochem ist ry- Proteins

    Chemistry for Life

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    Structure of proteins - 4 levels

    Primary structure- amino acids sequence Secondary structure- a-helix

    Tertiary structure- folded individual peptide

    Quaternary structure- aggregation of 2 or more peptides

    In t rodu ctory to Biochem ist ry- Proteins

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    Enzymes

    Enzyme is one of the most important classes of proteins. Each enzyme is capableof catalysing very specific reactions with living organisms

    More about amino acids

    There are many different amino acids, the difference being the Rgroups

    Our body requires 20 amino acids

    Our body can synthesise 10 of these 20

    The other 10 (called essential amino acids) must be ingested.

    H

    R

    H2N-C-C-OHO

    e.g.H

    H

    H2N-C-C-OHO H

    CH3

    H2N-C-C-OHO

    Glycine Alanine

    In t roductory to B iochemist ry- Carbohydrates

    Chemistry for Life

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    Carbohydrates (hydrate of carbon)

    It has general formula of Cx(H2O)y It is a form of sugar used for store energy by plants

    Carbohydrates can be divided according to the number of units of basic sugar

    Monoaccharides - containing a single unit of sugar (that cannot be broken by a acid)

    The most important monoaccharides are glucoseand fructose

    Glucose - the most abundant carbohydrate, C6(H2O)6or C6H11OH (aldehyde sugar)

    Fructose - present in most of fruit, C6(H2O)6or C6H11OH (ketone sugar)

    Diaccharides - composed of two monoaccharides

    The most most important diaccharide is sucroseandlactose

    Sucrose (table sugar) - is a sugar composed of 1 glucose + 1 fructose.

    The invert sugar (sweeter than sucrose) is made from hydrolysis of sucrose converting part ofglucose to fructose. The sugars made from sugar beets and canes are the same.

    Lactose (milk sugar) - is a sugar composed of 1 glucose + 1 galactose

    Polyaccharides - composed more than two units of monoaccarides

    In t roductory to B iochemist ry- Carbohydrates

    Chemistry for Life

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    Some of most important polyaccharides

    Starch Many crops contains mainly starch (corn, potatoes, wheat, rice etc). It is a major way

    plants store their energy

    It consists of mainly glucose. due to different way in which glucose units are joined

    together, starch may be unbranched or branched in structure

    Hydrolysis of starch, catalysed by enzyme within our digestive system, gives glucose

    Glycogen

    These type of polyaccharides can be synthesised within our body and stored in liver and

    muscles. It services as immediate energy source of our body.

    Cellulose

    It forms major structural unit of plants (e.g. wood 50%, cotton fibres 100% cellulose).

    usually unbranched chain of glucose units with average molecular weight 500,000 amu.

    The enzymes within our body which help hydrolysis starch cannot digest cellulose.

    In t roductory to B iochemist ry- Nucleic Acids

    Chemistry for Life

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    Functions of nucleic acids

    Nucleic acids are chemical carriers of an organisms genetic information

    They are also chemical controller of cell development through controlling protein

    synthesis

    Composition of nucleic acids

    The nucleic acids are bio-polymers (molecules are linked together through

    polymerisation reaction like the formation of proteins from amino acids)

    The basic building blocks of nucleic acids are called necleotides.

    nucleotides are formed from the following units:

    1.a phosphoric acid molecule, H3PO42. a five-carbon sugar

    3. a nitrogen-containing organic base

    Type of Nucleic acids DNA

    RNA

    In t roductory to B iochemist ry- DNA & RNA

    Chemistry for Life

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    DNA - Deoxyribonucleic Acids

    DNA has huge molecular weight ranging from 6~16 million amu

    DNA is found primarily in the nucleus of living cell

    DNA stores the genetic information of the cell & controls the production of protein

    RNA - Ribonucleic Acids

    RNA has smaller molecular weight ranging from 20,000~40,000 amu

    RNA is mostly found outside the nucleus in the cytoplasma(substance around cell

    membrane)

    RNA carries the information stored by DNA out of nucleus of cell into cytoplasma,

    where proteins are synthesised based on the instruction delivered by RNA

    The differences in composition of DNA and RNA

    The only difference between DNA and RNA

    is the 5-carbon sugar units in the nucleotides.DNA has deoxyribose

    NRA has ribose

    HOCH2lClH

    O

    HlClOH

    HlClOH

    H

    lClOH

    HOCH2lClH

    O

    HlClOH

    HlClH

    H

    lClOH

    ribose deoxyribose

    Introduction to SpectroscopesAnalyt ical Techniqu es

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    4f

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    Atoms & molecules can have different

    states each having a specific E level

    Ground state

    The normal state (the lowest possible E level)

    Excited state

    When absorbing electromeganetic radiation

    (e.m.r.). Atoms/molecules rise their Elevels

    Atoms/molecules at excited state are not stable& tends to return to their ground state.

    In the process of returning their ground states,

    the energy gained earlier is release in a form of

    e.m.r. (photons).

    Absorption/Emission spectra

    E.m.r. has energy determined by its frequency

    E.m.r. can be absorbed and emitted by atoms/

    molecules contain specific Information of A/M.

    These e.m.r.s can be recorded and analysed

    - the base of many spectroscopic techniques.

    n = 1

    n = 2

    n = 3,

    etc.

    D

    Energy

    n=1

    n=2

    n=3

    n=4

    1s2s

    2p

    3s

    3p

    4s

    3d4p

    4d4f

    S0

    v1

    v2v3v4

    S2

    v1

    v2v3

    v4

    T1

    v1

    v2v3v4

    Atomic level

    Molecular level

    Introduction to

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    UV-Visible Absorption Spectroscopy

    The electromnetic radiations

    X-Ray UV Visible IR Microwave

    200nm 400nm 800nm

    Wavelength (nm)

    Introduction to UV-Visible Absorption Spectroscopy

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    UV Absorption Spectrometer

    Sample

    90C

    DetectorUV Light Source

    Monochromator Monochromator

    Emit fluorescent lightas energy decreases

    Ground state

    AntibondingAntibonding

    Nonbonding

    Bonding

    BondingEnergy s

    p

    ss

    pp

    nsn

    np

    Electron's molecular energy levels

    sp

    UV Spectrometer Applications

    Protein

    Amino Acids (aromatic)

    Pantothenic Acid

    Glucose Determination

    Enzyme Activity (Hexokinase)

    Visible Spectrometer Applications

    Niacin

    Pyridoxine

    Vitamin B12

    Metal Determination (Fe)

    Fat-quality Determination (TBA)

    Enzyme Activity (glucose oxidase)

    Introduction to UV-Visible Absorption Spectroscopy

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    UV Absorption Spectra Visible Absorption Spectra

    Introduction to Mass Spectrometry

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    The working principle

    1. Sample molecules are ionised in

    the ion source section2. The ions with different masses

    and charges travel through a

    magnet field at different speeds,

    arriving to detector at different

    time scales

    3. The charges of ions are

    converted to electricity current,the intensity of which is then the

    measure of the concentration of

    the molecules

    The measurement results are

    directly linked to the atomic

    mass of molecules Very useful in detecting organic

    molecules & in isotopic tracing

    analysisSchematic diagramme of a single-focusing mass

    spectrometr with an electron-impact ion source

    lon source mass analyser detector

    heated filament

    produce electrons

    beam which

    collide and ionise

    sample molecules

    Ions with different mass & e-

    changes travel at different

    speeds under the magnetic

    field, reaching the detector

    at different time.

    The charges carried

    by the ions are

    converted to electricy

    current and detected

    Introduction to Mass Spectrometry

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    Mass spectrum of chlorine gas

    m/e ratio Corresponding ion

    35 35Cl+

    37 35Cl+

    70 35Cl+ - 35Cl+

    72 35Cl+ - 37Cl+

    74 37Cl+ - 37Cl+

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    The working principle of Chromatography

    The level of Interaction (adsorption) betw.

    packing material & sample A, B differs,resulting in different speeds of travel of A &

    B in a media (paper, column etc.)

    Usually sample to be analysed is

    injected into a carrier (gas or liquid)

    Carrier is usually inert (does not react

    with packing materials)

    The components in sample, being

    separated after chromatography, are

    analysed by TCD or mass spec.

    Types of chromatography

    LC - Liquid (carrier & A,B) Chromatography

    GC - Gas (carrier & A,B) Chromatography

    HPLC - High Pressure Liquid Chromatography

    t

    gas or

    liquid

    sample (A+B)injection A B

    effluent

    column packing, P (stationary phase)

    t

    c

    t

    c

    c

    A

    B

    A

    B

    t = to

    t = ti

    t = te

    effluent

    Assuming P likes A (A stay with P longer)

    carrier

    (C)

    effluent

    effluent

    v

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    Typical GC setup GC chromatograph