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    SKA6014

    ADVANCED ANALYTICAL CHEMISTRY

    TOPIC 1Introduction to Analytical Chemistry

    Azlan Kamari, PhD

    Department of ChemistryFaculty of Science and Mathematics

    Universiti Pendidikan Sultan Idris

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    What is Analytical Chemistry?

    Qualitative: provides information about the identity ofan atomic, molecular or biomolecular species

    Quantitative: provides numerical information as to the

    relative amounts of species

    Analytical chemistry seeks ever improved means ofmeasuring the chemical composition of natural and

    artificial materials

    The techniques of this science are used to identify

    the substances which may be present in a materialand determine the exact amounts of the identified

    substances

    Definitions from www.acs.org

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    The Role of Analytical Chemistry

    -Friedrich Wilhelm OstwaldAnalytical Chemistry, or the art of

    recognizing different substances and

    determining their constituents, takes a

    prominent position among the

    applications of science, since the

    questions which it enables us to answer

    arise wherever chemical processes are

    employed for scientific or chemical

    purposes.

    http://www.pace.edu/dyson/academics/chemistryplv/

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    Analytical chemists work to improve the reliability of existing techniques to

    meet the demands of for better chemical measurements which arise

    constantly in our society

    They adapt proven methodologies to new kinds of materials or to answer

    new questions about their composition.

    They carry out research to discover completely new principles ofmeasurements and are at the forefront of the utilization of major

    discoveries such as lasers and microchip devices for practical purposes.

    Medicine

    IndustryEnvironmental

    Food and Agriculture

    Forensics

    Archaeology

    Space science

    The Role of Analytical Chemistry

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    History of Analytical Methods

    Classical methods:early years (separation of analytes) via

    precipitation, extraction or distillation

    Qualitative:recognized by colour, boiling point, solubility, taste

    Quantitative:gravimetric or titrimetric measurements

    Instrumental Methods:newer, faster, more efficient

    Physical properties of analytes:conductivity, electrode

    potential, light emission absorption, mass to charge ratio andfluorescence, many more

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    Classification of Modern Analytical Methods

    Gravimetric Methodsdetermine the mass of the analyte or somecompound chemically related to it

    Volumetric Methodsmeasure the volume of a solution containingsufficient reagent to react completely with the analyte

    Electroanalytical Methodsinvolve the measurement of such

    electrical properties as voltage, current, resistance, and quantity ofelectrical charge

    Spectroscopic Methodsare based on the measurement of theinteraction between electromagnetic radiation and analyte atoms or

    molecules, or the production of such radiation by analytes

    Miscellaneous Methodsinclude the measurement of suchquantities as mass-to-charge ratio, rate of radioactive decay, heat

    of reaction, rate of reaction, sample thermal conductivity, optical

    activity, and refractive index

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    Analytical Methodology

    1. Understanding and defining the problem

    2. History of the sample and background of the problem

    3. Plan of action and execution

    4. Analysis and reporting of results

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    1. Understanding and Defining

    the Problem

    What accuracy is required?

    Is there a time (or money) limit?

    How much sample is available?

    How many samples are to be analyzed? What is the concentration range of the analyte?

    What components of the system will cause an

    interference?

    What are the physical and chemical properties

    of the sample matrix? (complexity)

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    2. History of sample and background

    of the problem

    Background info can originate from many sources:

    The client, competitors products

    Literature searches on related systems

    Sample histories:

    synthetic route

    how sample was collected, transported, stored the sampling process

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    Performance Characteristics: Figures of Merit

    Which analytical method should I choose? How good is the

    measurement, information content

    How reproducible is it? Precision

    How close to the true value is it?Accuracy/Bias

    How small of a difference can be measured? SensitivityWhat concentration/mass/amount/range? Dynamic Range

    How much interference? Selectivity (univariate vs. multivariate)

    3. Plan of Action

    2

    1

    1

    N

    xx

    s

    N

    i

    i

    x

    sRSD %100

    x

    sCV

    N

    sSm

    s2

    m

    SSc

    blm

    m

    bias = - xt

    S = mc+ Sbl

    Sm = Sbl+ ksbl

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    4. Analyzing and Reporting Results

    No work is complete until the customer is happy!

    Analytical data analysis takes many forms: statistics,

    chemometrics, simulations, etc

    Analytical work can result in: peer-reviewed papers, etc

    how sample was collected, transported, stored

    technical reports, lab notebook records, etc...

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    Components of an Analytical Method

    Perform measurement

    (instrumentation)

    Compare results

    with standards

    Pretreat and prepare sample

    Obtain and store sample

    Apply required

    statistical techniques

    Verify results

    Present information

    Extract data

    f rom sample

    Covert datainto informat ion

    Transform

    inform at ion into

    knowledge

    After reviewing results

    mig ht be necessary

    to mo dify and repeat

    procedure

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    Techniques

    Separation Techniques

    Gas chromatography

    High performance liquid chromatographyIon chromatography

    Super critical fluid chromatography

    Capillary electrophoresis

    Planar chromatography

    Spectroscopic techniques

    Infrared spectrometry (dispersive and fourier transform)

    Raman spectrometryNuclear magnetic resonance

    X-ray spectrometry

    Atomic absorption spectrometry

    Inductively coupled plasma atomic emission spectrometry

    Inductively coupled plasma MS

    Atomic fluorescence spectrometryUltraviolet/visible spectrometry (CD)

    Molecular Fluorescence spectrometry

    Chemiluminescence spectrometry

    X-Ray Fluorescence spectrometry

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    More Techniques

    Mass Spectrometry

    Electron ionization MSChemical ionization MS

    High resolution MS

    Gas chromatography MS

    Fast atom bombardment MS

    HPLC MS

    Laser MS

    Electrochemical techniques

    Amperometric technique

    Voltammetric techniques

    Potentiometric techniques

    Conductiometric techniques

    Microscopic and surface techniques

    Atomic force microscopyScanning tunneling microscopy

    Auger electron spectrometry

    X-Ray photon electron spectrometry

    Secondary ion MS

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    Technique Selection

    Location of sample

    bulk or surfacePhysical state of sample

    gas, liquid, solid, dissolved solid, dissolved gas

    Amount of Sample

    macro, micro, nano,

    Estimated purity of sample

    pure, simple mixture, complex mixture

    Fate of sampledestructive, non destructive

    Elemental information

    total analysis, speciation, isotopic and mass analysis

    Molecular information

    compounds present, polyatomic ionic species,functional group,

    structural, molecular weight, physical propertyAnalysis type

    Quantitative, Qualitative

    Analyte concentration

    major or minor component, trace or ultra trace

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    An Example: HPLC vs. NMR

    HPLC NMR

    Location of sample

    bulk or surface B B

    Physical state of sample

    gas, liquid, solid, dissolved solid, dissolved gas L,Ds L,S,Ds

    Amount of Sample

    macro, micro Ma, Mi Ma, Mi

    Estimated purity of samplepure, simple mixture, complex mixture Sm,M P,Sm

    Fate of sample

    destructive, non destructive N,D N

    Elemental information

    total analysis, speciation, isotopic and mass analysis

    Molecular informationCompounds present, Polyatomic ionic species, Cp,Io,St Cp,Fn,St

    Functional group, Structural, MW, Physical prop

    Analysis type

    Quantitative, Qualitative Ql,Qt Ql,Qt

    T,S (ion) limited

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    Review of Background Material

    Chemical equilibrium Activity coefficients

    Ionic strength

    Acids and bases Titrations

    Other simple chemical tests (spot tests)

    Some important figures of merit

    Review of a few other helpful concepts

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    Chemical Equilibrium

    aA + bB cC + dD

    K = [C]c [D]d / [A]a [B]b

    There is never actually a complete conversion of

    reactants to product in a chemical reaction, there is onlya chemical equilibrium.

    A chemical equilibrium state occurs when the ratio of

    concentration of reactants and products is constant. An

    equilibrium-constant expression is an algebraic equationthat describes the concentration relationships that exist

    among reactants and products at equilibrium

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    Chemical Equilibrium

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    Dissociation of water

    2H2O H3O+ + OH- Kw = [H3O+ ][OH-]

    Acid base

    NH3 + H2O NH4+ + OH- Kb = [NH4+][OH-] / [NH3]

    Solubility

    PbI2(s) Pb2+ + 2I- Ksp = [Pb2+ ][I-]2

    Oxidation-Reduction

    IO3-

    + 5I-

    + 6H+

    3I2(aq) + 3H20 Keq = [I2]3

    / [IO3-

    ][I-

    ]5

    [H+

    ]6

    Cl2(g) + 2AgI(s) 2AgCl(s) + I2 (g) Keq = pI2/ pCl2

    Typical Equilibrium Constant Expressions

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    Activity Coefficients

    Ions in solution have electrostatic interactions withother ions. Neutral solutes do not have suchinteractions.

    When the concentrations of ions in a solution aregreater than approximately 0.001 M, a shielding effectoccurs around ions. Cations tend to be surrounded bynearby anions and anions tend to be surrounded by

    nearby cations. This shielding effect becomessignificant at ion concentrations of 0.01 M and greater.Doubly or triply charged ions "charge up" a solutionmore than singly charged ions, so we need a standardway to talk about charge concentration.

    The law of mass action breaks down in

    electrolytes. Why?

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    Activity Coefficients

    Dilute solutions and concentrated solutions have slight differences and

    a more precise method of calculating and defining the equilibriumconstant is needed:

    ax= x [C]

    IDEAL

    [ ] < 10-3

    in dilute solutions-- = 1

    NON-IDEAL

    [ ] > 10-3

    < 1

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    Effect of Electrolyte Concentration

    Reason for deviation: The presence of electrolytes results in

    electrostatic interactions with other ions and the solvent

    The effect is related to the number and charge of eachion present - ionic strength ()

    = 0.5 ( [A] ZA2 + [B] ZB

    2 + [C]ZC2 + ..)

    where Z = charge (ex. +1, -2, )

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    Ionic Strength: Definitions

    Dissociation of an electrolyte:

    MxXm xMm+ + mXx-

    Ionic Strength:

    = 0.5zi2Ci

    Activity coefficient:

    ai= i [X]I

    Debye-Huckel limiting Law relates activity coefficient

    to ionic strength

    Mean ionic activity:

    a = C (mm

    xx

    )1/(m+x)

    z

    i

    i

    i

    28.31

    51.0log

    2

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    What is the ionic strength for a 1.0 M NaCl solution?

    I = 1/2(1*12 +1*12)

    I = 1

    What is the ionic strength for a solution whose concentrations

    are 1.0 M La2(SO4)3 plus 1.0 M CaCl2

    for this solution the concentrations are:

    [La 3+] = 2.0 M

    [SO42-] = 3.0 M

    [Ca 2+] = 1.0 M[Cl -] = 2.0 M

    I = 1/2 (2*32 + 3*22 + 1*22 + 2*12)

    I = 18

    Ionic Strength Calculations: Examples

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    Equilibria classified by reaction taking place

    1) acid-base2) oxidative-reductive

    Bronsted-Lowry definitions:

    acid: anything that donates a [H+

    ] (proton donor)base: anything that accepts a [H+] (proton acceptor)

    HNO2 + H2O NO2- + H3O+

    Aqueous Solution Equilibria

    HA + H2O A- + H3O+

    Ka = [A- ] [H3O

    + ] / [HA]

    ACIDNH3 + H2O NH4+ + OH-

    Kb = [NH4+][OH-] / [NH3]

    BASE

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    Source: www.aw.com/mathews/ch02/fi2p22.htm

    Strength of Acids and Bases

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    p-Functions

    The p- value is the negative base-10 logarithm of the molar

    concentration of a certain species:pX = -log [X] = log 1/[X]

    The most well known p-function is pH, the negative

    logarithm of [H3

    O+].

    pH = - log [H3O+]

    pKw = pH + pOH = 14

    We can also express equilibrium constants for the strength

    of acids and bases in a log formpKa = - log(Ka)

    pKb = - log (Kb)

    Kw = Ka * Kb

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    Source: http://cwx.prenhall.com/petrucci/medialib/media_portfolio/text_images/TB17_03.JPG

    Strength of Acids and Bases

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    Amphiprotic Compounds

    Amphiprotic solvents: a solvent that can act as either an

    acid or base depending on the solute it is interacting

    with

    methanol, ethanol, and anhydrous acetic acid are all

    examples of amphiprotic solvents.

    NH3 + CH3OH NH4+

    + CH3O-

    CH3OH+ HNO2 CH3OH2+ + NO2-

    Zwitterions: an amphiprotic compound that is produced

    by a simple amino acids weak acid an weak base

    functional groups

    Zwitterions carry both a positive charge (amino group)

    and negative charge (carboxyl group)

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    Titrations

    Advantages Disadvantages

    great flexibility large amount of analyte requiredsuitable for a wide range of analytes lacks speciation (similar structure)

    manual, simple colorimetric -subjective

    excellent precision an accuracy sensitive to skill of analyst

    readily automated reagents unstable

    Definition: an analytical technique that measures

    concentration of an analyte by the volumetric addition ofa reagent solution (titrant)- that reacts quantitatively with

    the analyte

    For titrations to be useful, the reaction must generallybe quantitative, fast and well-behaved

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    Chemical Stoichiometry

    Stoichiometry: The mass relationships among reactingchemical species. The stoichiometry of a reaction is the

    relationship among the number of moles of reactants

    and products as shown by a balanced equation.

    Mass MolesMoles Mass

    Divide by molar mass

    Multiply by stoichiometricratioMultiply by molar mass

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    Titration Curves

    Strong acid - Strong base

    Strong base - Weak acid

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    Titration Curves

    Strong base - polyprotic acid

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    Buffer Solutions

    Buffers contain a weak acid HA and its conjugate base A-

    The buffer resists changes in pH by reacting with anyadded H+ or OH-, preventing their accumulation. How?

    Any added H+ reacts with the base A-:

    H+ (aq) + A- (aq) -> HA(aq) (since A- has a strong

    affinity for H+)

    Any added OH- reacts with the weak acid HA:

    OH- (aq) + HA (aq) -> H2O + A-(aq) (since OH- can

    steal H+ from A-)

    Example:if 1 mL of 0.1 N HCl solution to 100 mL water, the

    pH drops from 7 to 3. If the 0.1 N HCl is added to a 0.01

    M solution of 1:1 acetic acid/sodium acetate, the pH drops

    only 0.09 units.

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    Calculating the pH of Buffered Solutions

    Henderson-Hasselbach equation

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    Example 1

    30 mL of 0.10M NaOH neutralised 25.0mL of hydrochloric acid. Determine the

    concentration of the acid

    1. Write the balanced chemical equation for the reaction

    NaOH(aq) + HCl(aq) -----> NaCl(aq) + H2O(l)

    2. Extract the relevant information from the question:

    NaOH V = 30mL , M = 0.10M HCl V = 25.0mL, M = ?

    3. Check the data for consistency

    NaOH V = 30 x 10-3L , M = 0.10M HCl V = 25.0 x 10-3L, M = ?

    4. Calculate moles NaOHn(NaOH) = M x V = 0.10 x 30 x 10-3 = 3 x 10-3 moles

    5. From the balanced chemical equation find the mole ratio

    NaOH:HCl

    1:1

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    Example 1 (continued)

    6. Find moles HCl

    NaOH: HCl is 1:1

    So n(NaOH) = n(HCl) = 3 x 10-3 moles at the equivalence point

    Calculate concentration of HCl: M = n V

    n = 3 x 10-3 mol, V = 25.0 x 10-3L

    M(HCl) = 3 x 10-3 25.0 x 10-3 = 0.12M or 0.12 mol L-1

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    Example 2

    50mL of 0.2mol L-1 NaOH neutralised 20mL of sulfuric acid. Determine the

    concentration of the acid

    1. Write the balanced chemical equation for the reaction

    NaOH(aq) + H2SO4(aq) -----> Na2SO4(aq) + 2H2O(l)

    2. Extract the relevant information from the question:

    NaOH V = 50mL, M = 0.2M H2SO4 V = 20mL, M = ?

    3. Check the data for consistency

    NaOH V = 50 x 10-3L, M = 0.2M H2SO4 V = 20 x 10-3L, M = ?

    4. Calculate moles NaOHn(NaOH) = M x V = 0.2 x 50 x 10-3 = 0.01 mol

    5. From the balanced chemical equation find the mole ratio

    NaOH:H2SO4

    2:1

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    Example 2 (continued)

    6. Find moles H2SO4NaOH: H2SO4 is 2:1

    So n(H2SO4) = x n(NaOH) = x 0.01 = 5 x 10-3 moles H2SO4 at the

    equivalence point

    7.Calculate concentration of H2SO4: M = n V

    n = 5 x 10-3 mol, V = 20 x 10-3L

    M(H2SO4) = 5 x 10-3 20 x 10-3 = 0.25M or 0.25 mol L-1

    Notes on Solutions and Their Concentrations

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    Molar Concentration or MolarityNumber of moles of solute in one Liter ofsolution or millimoles solute per milliliter of solution.

    Analytical MolarityTotal number of moles of a solute, regardless of chemicalstate, in one liter of solution. It specifies a recipe forsolution preparation.

    Equilibrium Molarity(Species Molarity)The molar concentration of a

    particular species in a solution at equilibrium.

    Notes on Solutions and Their Concentrations

    Percent Concentrationa. percent (w/w) = weight solute X 100%

    weight solution

    b.volume percent (v/v) = volume solute X 100%volume solution

    c.weight/volume percent (w/v) = weight solute, g X 100%volume soln, mL

    S Oth I t t C t

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    Some Other Important Concepts

    Limit of detection (LOD): the

    lowest amount (concentration or

    mass) of an analyte that can bedetected at a known confidence

    level

    Linearity: the degree to which a

    response of an analyticaldetector to analyte

    concentration/mass

    approximates a linear function

    Limit of quantitation (LOQ): the range over which quantitativemeasurements can be made (usually the linear range), often

    defined by detector dynamic range

    Selectivity: the degree to which a detector is free from

    interferences (including the matrix or other analytes)

    Concentration

    Detectorresponse

    LOQ

    LOD

    Limit of linearity

    Slope relates tosensitivity

    Dynamic range

    Si l Ch i l T t

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    Simple Chemical Tests

    While most of this class is focused on instrumental methods, a

    very large number of simple chemical tests have been

    developed over the past ~300 years

    Examples:

    Barium: solutions of barium salts yield a white precipitate

    with 2 N sulfuric acid. This precipitate is insoluble in

    hydrochloric acid and in nitric acid. Barium salts impart ayellowish-green color to a nonluminous flame that appears

    blue when viewed through green glass.

    Phosphate: With silver nitrate TS, neutral solutions of

    orthophosphates yield a yellow precipitate that is soluble in 2N nitric acid and in 6 N ammonium hydroxide. With

    ammonium molybdate TS, acidified solutions of

    orthophosphates yield a yellow precipitate that is soluble in 6

    N ammonium hydroxide.

    A Colormetric Test for Merc r

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    A Colormetric Test for Mercury

    A modern example of a spot

    test: a test for Hg2+

    developed using DNA andrelying on the formation of a

    thymidine-Hg2+-thymidine

    complex

    LOD = 100 nM (20 ppb) in

    aqueous solution

    Linearity from the high

    nanomolar to low micromolar

    range

    Selective for Hg2+ and

    insensitive to Mg2+, Pb2+,

    Cd2+, Co2+, Zn2+, Ni2+, and

    other metal ions

    Angew. Chem. Int. Ed., DOI: 10.1002/anie.200700269http://pubs.acs.org/cen/news/85/i19/8519news6.html

    C /

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    ppm:

    cppm = mass of solute X 106 ppm

    mass of solution

    For dilute aqueous solutions whose densities areapproximately 1.00 g/mL, 1 ppm = 1 mg/L

    ppb:

    cppb = mass of solute X 109 ppb

    mass of solution

    Concentration in Parts per Million/Billion

    D it d S ifi G it f S l ti

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    Density and Specific Gravity of Solutions

    Density: The mass of a substance per unit volume. In SIunits, density is expressed in units of kg/L or g/mL.

    Specific Gravity: The ratio of the mass of a substance to

    the mass of an equal volume of water at 4 degrees

    Celsius. Dimensionless (not associated with units ofmeasure).

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    Prefixes for SI Units

    giga- G 109mega- M 106

    kilo- k 103

    deci- d 10-1centi- c 10-2milli- m 10-3micro- u 10-6nano- n 10-9

    pico- p 10-12

    femto- f 10-15atto- a 10-18

    Other Helpful Information