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5                                      Mole Concept and


                                                                         Stoichiometry




                                           The Mole Concept
                   CONTENTS
                                           What is a mole
          ͻ  dŚĞ ŵŽůĞ ĐŽŶĐĞƉƚ
          ͻ  'ĂLJͲ>ƵƐƐĂĐ͛Ɛ ůĂǁ ŽĨ ĐŽŵďŝŶŝŶŐ   We buy things either by number or by mass. For example, we generally
            ǀŽůƵŵĞƐ                        buy oranges, eggs, bananas, etc. by number, viz., by dozen (1 dozen = 12
          ͻ  ^ŽŵĞ ĞdžĂŵƉůĞƐ ďĂƐĞĚ ŽŶ 'ĂLJͲ   pieces). We buy most of our vegetables by mass, viz., gram or kilogram.
            >ƵƐƐĂĐ͛Ɛ ůĂǁ ŽĨ ĐŽŵďŝŶŝŶŐ ǀŽůƵŵĞƐ   The unit we choose to express the quantity is just a matter of convenience.
          ͻ   ǀŽŐĂĚƌŽ͛Ɛ ůĂǁ                The mole is a concept of quantity in terms of number and mass. This
          ͻ   ƚŽŵŝĐŝƚLJ                     concept relates the mass of any material to the number of atoms, ions or
          ͻ   ƉƉůŝĐĂƟŽŶƐ ŽĨ ƚŚĞ  ǀŽŐĂĚƌŽ͛Ɛ ůĂǁ  molecules in it.
          ͻ  ^ŽŵĞ ĞdžĂŵƉůĞƐ ďĂƐĞĚ ŽŶ
             ǀŽŐĂĚƌŽ͛Ɛ ůĂǁ                      6JG  OQNG   CU  RGT  FGſPKVKQP  CEEGRVGF  KPVGTPCVKQPCNN[   KU  FGſPGF  CU
          ͻ   ƚŽŵŝĐ ŵĂƐƐ ĂŶĚ ƌĞůĂƟǀĞ ĂƚŽŵŝĐ   follows:
            ŵĂƐƐ                                “The mole is the amount of a substance which contains the same
          ͻ  &ƌĂĐƟŽŶĂů ĂƚŽŵŝĐ ŵĂƐƐĞƐ       number of chemical units (atoms, molecules or ions) as there are atoms
          ͻ  DŽůĞĐƵůĂƌ ŵĂƐƐ ĂŶĚ ƌĞůĂƟǀĞ    in exactly 12 gram of pure carbon-12.”
            ŵŽůĞĐƵůĂƌ ŵĂƐƐ
                                                                                             23
          ͻ  &ŽƌŵƵůĂ ŵĂƐƐ                       12 g of carbon-12 is found to contain 6.02 × 10  atoms of carbon-12.
                                                                                          23
          ͻ  'ƌĂŵͲĂƚŽŵŝĐ ŵĂƐƐ ĂŶĚ ŐƌĂŵͲ    Thus, a mole represents a collection of 6.02 × 10  chemical units (atoms,
            ŵŽůĞĐƵůĂƌ ŵĂƐƐ                 molecules or ions).
                                                                      23
          ͻ   ŽŵƉŽƐŝƟŽŶ ŽĨ Ă ĐŽŵƉŽƵŶĚ           The number 6.02 × 10  is called  Avogadro’s number. Avogadro’s
          ͻ   ĞƚĞƌŵŝŶĂƟŽŶ ŽĨ ĞŵƉŝƌŝĐĂů ĂŶĚ   number is commonly denoted by N  or N .
            ŵŽůĞĐƵůĂƌ ĨŽƌŵƵůĂ                                                A     0
          ͻ   ĂůĐƵůĂƟŽŶƐ ďĂƐĞĚ ŽŶ ĐŚĞŵŝĐĂů      Thus,  a mole is the quantity of any material which contains one
                                                                         23
            ĞƋƵĂƟŽŶƐ                       Avogadro’s number (6.02 × 10 ) of chemical units (atoms, molecules, or
                                           ions).
                                                Mole concept can be applied to both the molecular and ionic
                                           substances. For example,
          /Ŷ ƐƵƉĞƌŵĂƌŬĞƚƐ ŽĨ h^ ͬ ĂŶĂĚĂ ĂŶĚ
          ƐŽŵĞ ƉůĂĐĞƐ ŝŶ /ŶĚŝĂ͕ ďĂŶĂŶĂƐ ĂƌĞ ƐŽůĚ     One mole of CO  = 1 mol of CO 2
                                                                2
                                                                            23
          ďLJ ǁĞŝŐŚƚ͕ ĂŶĚ ŶŽƚ ďLJ ŶƵŵďĞƌƐ ĂƐ ŝƐ                     = 6.02 × 10  molecules of CO
          ĚŽŶĞ ŝŶ ŵŽƐƚ ƉůĂĐĞƐ͘ ^Ž͕ ƚŚĞ ĐŚŽŝĐĞ                                       23        2
          ŽĨ ƚŚĞ ƵŶŝƚ ĚĞƉĞŶĚƐ ƵƉŽŶ ƚŚĞ ƉĞŽƉůĞ͘                    = Mass of 6.02 × 10  molecules of CO 2
          /Ŷ ŵƵĐŚ ƚŚĞ ƐĂŵĞ ǁĂLJ ĂƐ ǁĞ ďƵLJ Ă                        = 44 g of CO 2
          ĚŽnjĞŶ ĞŐŐƐ Žƌ Ă ŬŝůŽŐƌĂŵ ŽĨ ƐǁĞĞƚƐ͕ Ă   One mole of NaCl = 1 mol of Na Cl –
                                                                               +
          ĐŚĞŵŝƐƚ ĚĞĂůƐ ǁŝƚŚ Ă ŵŽůĞ ŽĨ ĂƚŽŵƐ͕
                                                                                                  23
                                                                                                      –
                                                                            23
                                                                                 +
          ŵŽůĞĐƵůĞƐ͕ ŝŽŶƐ Žƌ ĞůĞĐƚƌŽŶƐ͘                           = 6.02 × 10  Na  ions + 6.02 × 10  Cl  ions
                                                                                            –
                                                                                         +
                                                                                    23
                                                                  = Mass of 6.02 × 10  Na Cl  ion pairs
                                                                  = (23 + 35.5) g of NaCl
                                                                  = 58.5 g of NaCl
                                           Symbol of the mole unit
                                           The unit of each physical quantity has been given a standard symbol. For
                                           example, gram is denoted by g, a kilogram by kg, a metre by m, and newton
                                           by N (Newton is the unit of force). The unit of mole is given a symbol mol.
                                           So, if you want to express one mole, you may write it as 1 mol.
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