3B the Mole and the Number of

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    Chemical Formulae and Equation

    B. The mole and thenumber of particles

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    The Concept of Mole

    According to SI ( International System of Units)

    One mole is an amount of substance that contains

    as many particles as the number of atoms in

    exactly 12.000 g carbon-12, which is 6.02 x 1023particles.

    1 mol = 6.02 x 1023particles

    = 602 000 000 000 000 000 000 000 particles

    The value of 6.02 x 1023 also recognized as theAvogadro constant, NA.

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    Avogadro Constant

    Avogadro Constant is defined as the number of

    particles in one mole of a substance which is

    6.02 x 1023

    mol1

    .This means:

    1 mole of iron = 6.02 x 1023 iron atoms

    1 mole of water = 6.02 x 10

    23

    water molecules1 mole of ammonia = 6.02 x 1023ammonia

    molecules

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    CautionThe particles need to be carefully specified

    ATOM IC SUBSTANCES

    All metal eg sodium, copper, iron

    All noble gases eg helium, argon, neon

    Certain non-metals element eg. carbon & silicon

    MOLECULAR SUBSTANCES

    some non-metal element eg H2, O2, F2. Cl2, S8, P4

    All covalent compound eg water and carbon dioxide.

    IONIC SUBSTANCES

    All ionic compounds eg. Sodium chloride, zinc bromide

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    Mole and the Number of Particles

    Number

    of Mol

    Numberof

    Particles

    Avogadro constant

    Avogadro constant

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    Example of Calculation 1

    Calculate the number of particles contain

    in 0.4 mol of chlorine atom .

    Solution

    Number of chlorine atom

    = number of moles x NA

    = 0.4 x 6.02 x 1023

    = 2.408 x 1023 atom

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    Example of Calculation 2

    Calculate the number of moles represented

    by 1.204 x 1023sodium atom.

    Solution:

    mol2.0

    1002.6

    10204.1

    N

    atomsodiumofNumber

    atomsodiumofmolesofnumberThe

    23

    23

    A

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    Example of Calculation 3

    Calculate the number of molecules that

    contain in 0.05 moles of iodine, I2 .

    Solution:

    The number of iodine, I2 molecule

    = number of moles x NA= 0.05 x 6.02 x 1023molecules

    = 3.01 x 1022 molecules

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    Particles in Molecular Substance

    No. of moles

    molecular

    substance

    No. of

    moleculeNo of atom

    NA

    NA

    ( depends on

    chemical formula )

    ( depends onchemical formula )

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    Particles in Ionic Substance

    No. of moles

    ionic

    substance

    No. of Unit No of ions

    NA

    NA

    ( depends on

    chemical formula )

    ( depends onchemical formula )

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    Example of Calculation 1

    Calculate the number of fluorine atom contains in 0.3 mol offluorine gas, F2.

    Solution:The number of fluorine molecules, F2

    = number of moles x NA

    = 0.3 x 6.02 x 1023

    1 molecule of F2 = 2 fluorine atom

    The number of fluorine atom, F= 2 x 0.3 x 6.02 x 1023

    = 3.612 x 1023

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    Example of Calculation 2

    A sample of ammonia gas contains of

    1.806 x 1024molecules of ammonia.

    Calculate the number of

    a)moles of ammonia

    b)nitrogen atomc)Moles of hydrogen atom

    that contain in the sample

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    Solution

    mol3

    1002.6

    10806.1

    N

    moleculeNHofNumber

    moleculesNHofmoles)a(

    23

    24

    A

    3

    3

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    Solution

    (b) A molecule of ammonia, NH3 consists

    1 nitrogen,N atom

    Thus,

    1.806 x 1024molecules of ammonia

    consists 1.806 x 1024 nitrogen atom

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    Solution

    (c) A molecule of ammonia, NH3 consists 3

    hidrogen,H atom1 mole of NH3molecule 3 moles of H atom

    3 moles of NH33 3 moles of H atom

    9 moles of H atom

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    Example of Calculation 3

    Calculate the number of hydroxide ions in 0.5 mole

    of magnesium hydroxide, Mg(OH)2.

    Units of Mg(OH)2= 0.5 x NA

    = 0.5 x 6.02 x 1023

    1 unit of Mg(OH)2consists of 2 hydroxide(OH) ions

    Thus,

    Number of hydroxide ions, OH= 2 x 0.5 x 6.02 x 1023

    = 6.02 x 1023