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CSEC>> Chemistry

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The mole concept
Francine Taylor-Campbell, Contributor

Calabar versus St. Catherine High in last year's Manning Cup football action. Calabar won 2-1. - Ian Allen Photo

POINTS TO NOTE

  • Relative atomic mass, molecular mass and formula mass are measured in atomic mass units (amu), where one amu is 1/12 of the mass of a carbon-12 atom, 12C.

  • The relative atomic mass of an element, AR, is the average mass in amu of all of its atoms. These values are generally given in tables.

  • The relative molecular mass of a compound, Mr, is the average mass of all of its molecules in amu, while the relative formula mass, Mr, is the average mass of the formula units and applies specifically to ionic compounds.

  • Molar mass is the mass of one mole of the substance. The values of Ar and Mr stated in grams are the molar masses.

    THE MOLE

    12g of carbon and 24g of magnesium all represent one mole of a substance.

    The mole is the amount of substance in its molar mass. One mole of a substance always contains the same number of atoms, ions, molecules or formula units as one mole of any other substance. This is called the avogadro number or avogadro constant (L). Its value is 6.02 x 1023. Thus the mole is that amount of substance that contains 6.02 x 1023 particles of that substance. It is usually given in grams but could be given in kilograms or dm3 for gases.

    12g of carbon (C) represent one mole and contain 6 x 1023 (L) atoms one mole of oxygen atoms (0) = 16g and have L atoms

    1 mole of carbon dioxide (CO2) = 44g and has L molecules

    1 mole of Na+- ion = 23g and has L ions.

    To calculate the number of moles in a substance the following formula is used:

    #mol ==
    mass of substance(g)
      mass of one mole (g/mol)

    For example to calculate the number of moles in 60g of calcium we would divide by the Mr of calcium. #mol of Ca ==60/40 = 1.5 mol

    The formula can be manipulated to calculate an unknown mass given the number of moles, in which case, mass of substance == #mol * mass of one mole (Mr).

    Therefore the mass of 0.2 mol of NaOH is

    Mass of NaOH == 0.2 * (23 + 16 + 1) = 0.2*40 = 8g

    To calculate the number of atoms, molecules or formula units present in a substance we make use of the fact that one mole of any substance contain avogadro, s number of particles (6.0 x 1023)

    For example, 8g Cu0 1 mol Cu0 = 64 + 16 = 80g

    80g contains 6.0 x 1023 formula units

    8g contains (6.0 x 1023)/10 = 6.0 x 1022 formula units.

    Another way to look at this is to first of all determine the number of moles in 8g of Cu0.

    #mol Cu0 ==8/80 = 0.1 mol

    Now 1 mol Cu0 contains 6 x 1023 units

    0.1 mol Cu0 contains (6 x 1023) x 0.1 = 6.0 x 1022 units

    * Francine Taylor-Campbell is an independent contributor.

     
     
     
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