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    ELEMENTS, COMPOUNDS,CHEMICALEQUATIONS ANDCALCULATIONS

    CHAPTER 2

    MISS J

    CHM 138

    Basic Chemistry

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    Chapter Outline

    2.1 Definitions of atom, ion, molecule, compound 2.2 Symbol, chemical formula and naming of

    elements, molecules and compounds.

    2.3 Atomic mass, formula mass, molecular mass

    Avogadros constant, mole concept, mole

    conversions.

    2.4 Calculations on compositions, empirical and

    molecular formulas. 2.5 Balancing chemical equations.

    2.6 Stoichiometric calculations

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    Atom:

    Neutral particles & the smallest unit of anelement.

    Can take part in chemical reaction

    Are composed of smaller particles (electrons,

    protons & neutrons)Example: Mg, K, Zn, Fe, Al, Ca, Li, S

    Molecule:

    The collection of two or more atoms bound togetherchemically

    Molecules such as H2,N2,O2,Br2are called diatomicmolecules.

    Example: CO, NH4, HNO3, CO2

    ATOMS & MOLECULES

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    THE STRUCTURE OF THE ATOM

    electron

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    The particles in the nucleus of an atom called NUCLEONS

    Sub-atomic particles = protons, neutrons and electrons

    Proton number (Z)= the number of protons in the

    nucleus of an atom (atomic number)

    Nucleon number (A) = the total number of protons &

    neutrons in the nucleus (mass number)

    part ic le symbol charge

    Proton p +1

    Neutron n 0

    Electron e -1

    THE STRUCTURE OF THE ATOM

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    Atomic number(Z)

    = number of protons in nucleus

    Mass number(A)

    = number of protons + number of neutrons

    = atomic number (Z) + number of neutrons

    XAZMass Number

    Atomic NumberElement Symbol

    Atomic number, Mass number

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    Example:

    Mass number (A) = 16

    Atomic number (Z) = 8 (indicating 8 protons innucleus)

    Number of neutrons = 16-8

    = 8 Number of electrons = 8 (when the element is

    neutral)

    O16

    8Element Symbol

    Mass Number

    Atomic Number

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    The Modern Periodic Table

    Period

    Grou

    p

    AlkaliMe

    tal

    NobleGas

    Halo

    gen

    AlkaliEarthMe

    tal

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    A moleculeis an aggregate of two or more atoms in a definite

    arrangement held together by chemical forces

    H2 H2O NH3 CH4

    A diatomic moleculecontains only two atoms

    Examples: H2, N2, O2, Br2, HCl, CO

    A polyatomic moleculecontains more than two atoms

    Examples: O3, H2O, NH3, CH4

    diatomic elements

    MOLECULES AND IONS

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    Anionis an atom, or group of atoms, that has a net positive or

    negative charge.

    Cationion with a positive charge- If a neutral atom loses one or more electrons it becomes a cation.

    anionion with a negative charge

    - If a neutral atom gains one or more electrons it becomes an anion.

    Na11 protons

    11 electrons Na+11 protons

    10 electrons

    Cl17 protons

    17 electrons Cl-

    17 protons

    18 electrons

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    A monatomic ioncontains only one atom

    A polyatomic ioncontains more than one atom

    Examples: Na+, Cl-, Ca2+, O2-, Al3+, N3-

    Examples: OH-, CN-, NH4+, NO3

    -

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    Common Ions Shown on the Periodic Table

    metals tend to form cations

    nonmetals tend to form anions

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    1) How many protons and electrons are in ?Al2713

    3+

    2) How many protons and electrons are in ?Se7834

    2-

    Examples:

    No. of protons = 13

    Charge = 3+ (loss of 3 electrons)

    No. of electrons = 133 = 10

    No. of protons = 34

    Charge = 2- (accept of 2 electrons)

    No. of electrons = 34 + 2 = 36

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    A molecular formulashows the exact number of atoms of each element

    in the smallest unit of a substance

    An empir ical formulashows the simplest whole-number ratio of the

    atoms in a substance

    H2OH2O

    Molecular formula Empirical formula

    C6H12O6 CH2OO3 O

    N2H4NH2

    CHEMICAL FORMULAS

    A structural formulashows how atoms are bonded to one another in

    a molecule

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    Formulas and Models

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    ionic compoundsconsist of a combination of cations and an

    anions

    The formula is usually the same as the empirical formula

    The sum of the charges on the cation(s) and anion(s) in

    each formula unit must equal zero

    Examples: NaCI (consists of equal numbers of Na+and Cl-)

    Formula of Ionic Compounds

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    The most reactive metals (green) and the most reactive

    nonmetals (blue) combine to form ionic compounds.

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    Method of Writing Chemical Formula for Ionic

    Compounds

    1) Aluminium oxide (containing Al3+and O2-)

    Al3+ O2-

    Charge 3+ 2-

    Simplest rationof ion combined 2 3

    Sum of charges is 2(+3) + 3(-2) = 0

    So, 2 cation Al3+combined with 3 anion O2-to form

    aluminium oxide

    Formula: Al2O3

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    Method of Writing Chemical Formula for Ionic

    Compounds

    2) Ammonium carbonate (containing NH4

    +and CO3

    2-)

    NH4+ CO3

    2-

    Charge 1+ 2-

    Simplest rationof ion combined 2 1

    Sum of charges is 2(+1) + 1(-2) = 0

    So, 2 cation NH4+combined with 1 anion CO3

    2-to

    form ammonium carbonate

    Formula: (NH4)2CO3

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    1) Elements:

    Refer to the periodic table

    - Examples:

    i) Na = sodium

    ii) Si = silicon

    CHEMICAL NOMENCLATURE

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    2) Ionic Compounds Often a metal (cation) + nonmetal (anion)

    Binary compounds (compounds formed from twoelements)

    - first element named is the metal cation followed bythe nonmetallic anion.

    Anion (nonmetal), add ide to element name Examples:

    i) BaCl2= barium chloride

    ii)K2O = potassium oxide

    iii) Mg(OH)2= Magnesium hydroxide

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    Transition metal ionic compounds

    - older nomenclature system:

    - ending ous cation with fewer positive charges

    - ending ic to the cation with more positive charges

    - examples: Fe2+ ferrous ion

    Fe3+ ferric ion- indicate charge on metal with Roman numerals

    i) FeCl2 2 Cl- -2 so Fe is +2 iron(II) chloride

    ii) FeCl3 3 Cl- -3 so Fe is +3 iron(III) chloride

    iii) Cr2S3 3 S-2-6 so Cr is +3 (6/2) chromium(III) sulfide

    Examples:

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    3) Molecular compounds

    - place the name of the first element in theformula first and second element is namedby adding -ide to the root of elementname

    - Nonmetals or nonmetals + metalloids

    - Common names: H2O, NH3, CH4

    - Element furthest to the left in a period and

    closest to the bottom of a group on

    periodic table is placed first in formula

    - If more than one compound can be formedfrom the same elements, use prefixes toindicate number of each kind of atom

    - Last element name ends in -ide

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    Guidelines in naming

    compounds with prefixes

    The prefix mono- maybe omitted for the first

    element.

    For oxides, the ending a in the prefix issometimes omitted.

    - for example: N2O4maybe called dinitrogen

    teroxide rather than dinitrogen teraoxide.

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    HI hydrogen iodide

    NF3 nitrogen trifluoride

    SO2 sulfur dioxide

    N2Cl4 dinitrogen tetrachloride

    NO2 nitrogen dioxide

    N2O dinitrogen monoxide

    Molecular Compounds

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    An acidcan be defined as a substance that yields hydrogen ions

    (H+) when dissolved in water.

    For example: HCl gas and HCl in water

    - Pure substance, hydrogen chloride

    - Dissolved in water (H3O+ and Cl), hydrochloric acid

    Anions whose names end in -ide form acids with a hydro-

    prefix and an -ic ending.

    4) Acids and bases

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    An oxoacidis an acid that contains hydrogen, oxygen, and

    another element.

    i) HNO3 nitric acid

    ii) H2CO3 carbonic acid

    iii) H3PO4 phosphoric acid

    iv) HCIO3 chloric acid

    v) H2SO4 sulfuric acid

    vi) HIO3 iodic acid

    vii)HBrO3 bromic acid

    Examples:

    N i O id d O i

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    Naming Oxoacids and Oxoanions

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    The rules for naming oxoanions, anions of oxoacids, areas follows:

    1. When all the H ions are removed from the -ic acid, theanions name ends with -ate.

    2. When all the H ions are removed from the -ous acid,the anions name ends with -ite.

    3. The names of anions in which one or more but not all thehydrogen ionshave been removed must indicate thenumber of H ions present.

    For example:

    H3PO4 Phosphoric acid

    H2PO4- dihydrogen phosphate HPO4

    2-hydrogen phosphate

    PO43- phosphate

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    Abasecan be defined as a substance that yields

    hydroxide ions (OH-

    ) when dissolved in water.

    Examples:

    NaOH sodium hydroxide

    KOH potassium hydroxide

    Ba(OH)2 barium hydroxide

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    Hydratesare compounds that have a specific number of

    water molecules attached to them.Examples:

    i) BaCl22H2O barium chloride dihydrate

    ii) LiClH2Oiii) MgSO47H2O

    iv) Sr(NO3)24H2O

    lithium chloride monohydrate

    magnesium sulfate heptahydrate

    strontium nitrate tetrahydrate

    CuSO45H2O CuSO4

    5) Hydrates

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    By definition:atom 2C weighs 2 amu

    On this scale:

    1H = 1.008 amu

    16O = 16.00 amu

    Atomic massis the mass of an atom in atomic mass units (amu)One atomic mass unita mass exactly equal to one-twelfth the

    mass of one carbon-12 atom.

    ATOMIC MASS

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    Average atomic mass (6.941)

    AVOGADROS NUMBER AND THE

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    The mole (mol)is the amount of a substance that contains

    as many elementary entities as there are atoms in exactly

    12.00 grams of12

    C

    1 mol = NA= 6.0221367 x 1023

    Avogadros number (NA)

    Dozen = 12

    Pair = 2

    The Mole (mol): A unit to count numbers of particles

    AVOGADRO S NUMBER AND THE

    MOLAR MASS

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    Molar massis the mass of 1 mole of in gramsatoms

    1 mole 12C atoms = 6.022 x 1023atoms = 12.00 g

    1 12C atom = 12.00 amu

    1 mole 12C atoms = 12.00 g 12C

    1 mole lithium atoms = 6.941 g of Li

    For any element

    atomic mass (amu) = molar mass (grams)

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    NA= Avogadros number = 6.022 x 1023atoms

    Mass of

    element (m)

    No. of

    moles (n)

    No. of

    atoms/molecules (N)

    molar mass (g/mol) x NA

    NAx molar mass (g/mol)

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    How many atoms are in 0.551 g of potassium (K) ?

    1 mol K = 39.10 g K

    1 mol K = 6.022 x 1023atoms K

    Example:

    No. of moles = 0.551 g

    39.10 g/mol

    = 0.014 mol

    No. of atoms = 0.014 mol x 6.022 x 1023atoms/mol

    = 8.43 x 1021atoms K

    MOLECULAR MASS

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    Molecular mass(or molecular weight) is the sum of

    the atomic masses (in amu) in a molecule.

    1S 32.07 amu

    2O + 2 x 16.00 amu

    SO2 64.07 amu

    For any molecule

    molecular mass (amu) = molar mass (grams)

    1 molecule SO2= 64.07 amu

    1 mole SO2= 64.07 g SO2

    SO2

    MOLECULAR MASS

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    How many H atoms are in 72.5 g of C3H8O ?

    1 mol C3H8O = (3 x 12) + (8 x 1) + 16 = 60 g C3H8O

    1 mol H = 6.022 x 1023atoms H

    = 5.82 x 1024atoms H

    1 mol C3H8O molecules = 8 mol H atoms

    72.5 g C3H8O1 mol C3H8O

    60 g C3H

    8O

    x8 mol H atoms

    1 mol C3H

    8O

    x6.022 x 1023H atoms

    1 mol H atomsx

    Example

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    Formula massis the sum of the atomic masses

    (in amu) in a formula unit of an ionic compound.

    1Na 22.99 amu

    1Cl + 35.45 amu

    NaCl 58.44 amu

    For any ionic compound

    formula mass (amu) = molar mass (grams)

    1 formula unit NaCl = 58.44 amu

    1 mole NaCl = 58.44 g NaCl

    NaCl

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    What is the formula mass of Ca3(PO4)2?

    1 formula unit of Ca3(PO4)2

    3 Ca 3 x 40.08

    2 P 2 x 30.97

    8 O + 8 x 16.00

    310.18 amu

    Example:

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    Percent compositionof an element in a compound =

    nx molar mass of element

    molar mass of compound

    x 100%

    nis the number of moles of the element in 1 moleof

    the compound

    C2H6O

    %C =2x (12.01 g)

    46.07 gx 100% = 52.14%

    %H =6x (1.008 g)

    46.07 gx 100% = 13.13%

    %O =1x (16.00 g)

    46.07 gx 100% = 34.73%

    52.14% + 13.13% + 34.73% = 100.0%

    D t i ti f i i l f l

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    Determination of empirical formula

    Elements K Mn O

    Mass (g) 24.75 34.77 40.51

    mol 24.75 g

    39.10 g/mol

    = 0.6330

    34.77 g

    54.94 g/mol

    = 0.6329

    40.51 g

    16.00 g/mol

    = 2.532

    Simplestratio

    0.63300.6329

    1

    0.63290.6329

    =1

    2.5320.6329

    4

    Empirical formula = KMnO4

    Determine the empirical formula of a compound that has

    the following percent composition by mass:

    K: 24.75%, Mn: 34.77%, O: 40.51%

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    Determination of empirical formula

    Elements C H O

    Mass (g) 40.92 4.58 54.50

    mol 40.92 g

    12.01 g/mol

    = 3.407

    4.58 g

    1.008 g/mol

    = 4.54

    54.50 g

    16.00 g/mol

    = 3.406Simplest

    ratio

    3.407

    3.406

    1 x 3

    = 3

    4.54

    3.406

    =1.33 x 3

    = 4

    3.406

    3.406

    =1 x 3

    = 3

    Empirical formula = C3H4O3

    Determination of Molecular Formula

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    Determination of Molecular Formula

    Elements N O

    Mass (g) 1.52 3.47

    mol 1.52 g

    14.01 g/mol

    = 0.108

    3.47 g

    16.00 g/mol

    = 0.217

    Simplest ratio 0.108

    0.108

    1

    0.217

    0.108

    2

    Empirical formula = NO2

    Determination ofempirical formula

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    Determination of molecular formula

    1) Empirical molar mass

    = 14.01 g/mol + 2(16.0g/mol) = 46.01 g/ molmolar mass compound between 90 g/mol-95 g/mol

    2) Determine the ratio between the molar mass andempirical formula

    Molar mass = 90 g/mol 2

    Empirical molar mass 46.01 g/mol

    Molecular formula = 2(NO2)= N2O4

    Actual molecular molar mass = 2(14.01 g/mol) + 4(16.00)

    = 92.02 g/mol

    CHEMICAL REACTIONS AND

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    3 ways of representing the reaction of H2with O2to form H2O

    A process in which one or more substances is changed into one

    or more new substances is a chemical reaction

    A chemical equationuses chemical symbols to show what happens

    during a chemical reaction

    reactants products

    CHEMICAL EQUATIONS

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    AMOUNTS OF REACTANTS ANDPRODUCTS

    Stoichiometry:

    - comparison of coefficients in a balanced equation

    - The quantitative study of reactants and products

    in a chemical reaction

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    1. Write balanced chemical equation

    2. Convert quantities of known substances into moles

    3. Use coefficients in balanced equation to calculate the number

    of moles of the sought quantity

    4. Convert moles of sought quantity into desired units

    Example:

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    Methanol burns in air according to the equation

    2CH3OH + 3O2 2CO2+ 4H2OIf 209 g of methanol are used up in the combustion, what mass of

    water is produced?

    grams CH3OH moles CH3OH moles H2O grams H2O

    molar mass

    CH3OH

    coefficients

    chemical equation

    molar mass

    H2O

    Example:

    1) Moles of CH3OH = 209 g

    32 g/mol

    = 6.53 mol

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    2) From the equation, 2 mol CH3OH is used to give 4 mol H2O, if

    we have 6.53 mol CH3OH, how many mole that H2O willproduce?

    2 mol CH3OH = 4 mol H2O

    6.53 mol CH3OH = ? mol H2O= 4 mol H2O x 6.53 mol CH3OH

    2 mol CH3OH

    = 13.06 mol H2O

    3) Mass of H2O

    = mol x molar mass H2O

    = 13.06 mol x 18 g/mol

    = 235.1 g

    2CH3OH + 3O2 2CO2+ 4H2O

    LIMITING

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    2NO + O2 2NO2

    NO is the limiting reagent

    O2is the excess reagent

    Reactant used up first in the reaction.

    Excess reagents: the reactants

    present in quantities greater than

    necessary to react with the quantity

    of the limiting reagent

    LIMITING

    REAGENT

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    3) Divide moles of Al and Fe2O3with their stoichiometric

    coefficientsi) Al ii) Fe2O3

    = 4.59 mol = 2.295 mol = 3.76 mol = 3.76 mol

    2 1

    The reagent that show the smallest no. of moleis a limiting

    reagent, while another reagent is a excess reagent.

    So, Al is a limiting reagent, while Fe2O3is a excess reagent.

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    4)From the equation, 2 mol Al is used to give 1 mol Al2O3, if we

    have 4.59 mol Al, how many mole that Al2O3will produce?

    2 mol Al produce 1 mol Al2O3

    4.59 mol Al = 1mol Al2O3 x 4.59 mol Al

    2 mol Al

    = 2.295 mol Al2O3

    5) Mass of Al2O3

    = mol x molar mass Al2O3

    = 2.295 mol x 102.0 g/mol= 234 g

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    Theoretical Yieldis the amount of product that would

    result if all the limiting reagent reacted.

    Actual Yieldis the amount of product actually obtained

    from a reaction.

    % Yield =

    Actual Yield

    Theoretical Yield x 100%

    REACTION YIELD

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    The End.TQ