STOICHIOMETRY
By Prof. Liwayway Memije-Cruz
STOICHIOMETRY - DEALS WITH THE NUMERICAL
RELATIONSHIPS OF ELEMENTS AND COMPOUNDS AND
THE MATHEMATICAL PROPORTIONS OF REACTANTS
AND PRODUCTSIN CHEMICAL TRANSFORMATIONS
AN UNDERSTANDING OF THE MOLE CONCEPT
TOGETHER WITH SOME SKILLS IN WRITING AND
BALANCING CHEMICAL EQUATIONS ENABLE US TO
SOLVE STOICHIOMETRIC PROBLEMS INVOLVING
MASS RELATIONS OF REACTANTS AND PRODUCTS IN
CHEMICAL REACTIONS.
In chemical calculations it is necessary to consider
quantities of substances in terms of the number of
atoms, ions or molecules present. The unit devised by
chemists in expressing numbers of atoms, ions, or
moleculesiscalled themole.
A moleisdefined as that quantity of asubstancethat
contains the same number of ultimate particles (atom,
ions, or units of ions) as are present in 12g of Carbon
-12.
MOLE
1 MOLE OF ANY ELEMENT ISAN AMOUNT
EQUAL TO ITSATOMIC MASSIN GRAMS, ITS
MOLAR MASS.
MOLECULAR MASS
Molecular mass equals the sum of the atomic masses of all atoms
in themolecule.
Theunit of molecular massistheamu.
Example:
What isthemolecular weight of sugar cane: C12 H22 O11 ?
12 C atoms = 12(12.011) amu = 144.132 amu
22 H atoms = 22(1.0079) amu = 22.174 amu
11 O atoms = 11(15.9994) amu = 175.993 amu
394.299 amu
MOLAR MASS
Themolar massisthesum of themassesof theatoms
present in onemoleof asubstance, which can bean
element or acompound. It can beexpressed asaunit of
massper molelikegrams/mol, kg/mol.
Molar Massisan amount of thecompound equal to its
molecular massin grams. Theunit of molar massisthe
gram.
EXAMPLES:
1. Find themolar massof:
a. Al = 27 g/mol
b. Ca(OH)2­ = 74 g/mol
Ca= 1 at x 40 g/mol = 40 g
O = 2 at x 16 g/mol = 32 g
H = 2 at x 1 g/mol = 2 g
74 g/mol
2. How many molesarepresent in:
a. 5.4 g of Al
5.4 g x 1 mol = 0.2 mol
27 g
b. 180 g of H2O
180 g x 1 mol = 10 mol
18 g
3. What isthemassof 5 mol of Ca(OH)2
5 mol x 74 g = 370 g
mol
2 mol x 27 g = 26 g
mol
EXERCISES:
1. Calculate the formula mass of ammonium
sulfate(NH4)2 SO4.
2. Find themolar massof Ca3(PO4)2.
3. Calculate the number of moles of Oxygen (O2 )
in 24.0 g of O2.
4. Calculate the molecular mass of C7 H5 NO3 S
(Saccharin).
AVOGADRO’SNUMBER
The number of molecules in a mole of any molecular substance the same as the
number of atoms in a gram-atom of any number. This number of atom is
called theAvogadro’snumber, theaccepted valueof which is6.02483 x 1023
atoms/gram-atom of any element.
A mole is the amount of substance that contains as Avogadro’s number of
particlesequal to 6.02 x 1023
. Theparticlescan beatoms, molecules, or ions.
Examples:
Thereare6.02 x 1023
atomsin 1 moleof carbon
Thereare6.02 x 1023
moleculesin 1 moleof H2­O
Thereare6.02 x 1023
Na
6.02 x 10 Cl in 1 moleof NaCl
EXAMPLES:
4. How many atomsarepresent in:
a. 5 mol of copper
5 mol x 6.02 x 1023
atoms = 30.10 or 3.01x 1023
atoms
mol
b. 48 g of carbon
48 g x 1 mol x 6.02 x 1023
atoms = 24.08 x 1023
or
12 g mol 24.08 x 1023
atoms
5. How many g of H2O will contain 3.01 x 1024
molecules?
 
3.01 x 1024
moleculesx 1 mol x 18 g = 90g
6.02 x 1023
molecules mol
PERCENTAGE COMPOSITION
PERCENTAGE COMPOSITION
the percentage of each element present in a compound.
In chemistry, this composition is always on a weight
basis unless specifically stated otherwise. Sometimes
the composition of the mixture of gases is given on a
volumetric basis.
based upon the meaning of the symbols and formulas.
Each symbol stands for one atomic weight’s worth of
the element it represents, and each formula stands for
one molecular weight’s worth of the compound it
represents.
EXAMPLES:
1. What isthepercentagecomposition of water?
% H = 2g x 100% = 11.11%
18g
% O = 18g x 100% = 88.89%
18g 100%
2. What isthepercentagecomposition of H2SO4?
% H = 2 g x 100% = 2.0%
98.1
% S = 32.1g x 100% = 32.7%
98.1g
% O = 64.0 g x 100% = 65.3%
98.1g 100%
EXERCISES:
1. Calculatethepercentage
composition of Vitamin E
(C29H50O2).
2. Calculatethepercentage
composition of Aluminum
hydroxide: Al(OH)3
Stoichiometry
Stoichiometry
Stoichiometry
Stoichiometry
Stoichiometry

Stoichiometry

  • 1.
  • 3.
    STOICHIOMETRY - DEALSWITH THE NUMERICAL RELATIONSHIPS OF ELEMENTS AND COMPOUNDS AND THE MATHEMATICAL PROPORTIONS OF REACTANTS AND PRODUCTSIN CHEMICAL TRANSFORMATIONS
  • 4.
    AN UNDERSTANDING OFTHE MOLE CONCEPT TOGETHER WITH SOME SKILLS IN WRITING AND BALANCING CHEMICAL EQUATIONS ENABLE US TO SOLVE STOICHIOMETRIC PROBLEMS INVOLVING MASS RELATIONS OF REACTANTS AND PRODUCTS IN CHEMICAL REACTIONS.
  • 5.
    In chemical calculationsit is necessary to consider quantities of substances in terms of the number of atoms, ions or molecules present. The unit devised by chemists in expressing numbers of atoms, ions, or moleculesiscalled themole. A moleisdefined as that quantity of asubstancethat contains the same number of ultimate particles (atom, ions, or units of ions) as are present in 12g of Carbon -12. MOLE
  • 6.
    1 MOLE OFANY ELEMENT ISAN AMOUNT EQUAL TO ITSATOMIC MASSIN GRAMS, ITS MOLAR MASS.
  • 7.
    MOLECULAR MASS Molecular massequals the sum of the atomic masses of all atoms in themolecule. Theunit of molecular massistheamu. Example: What isthemolecular weight of sugar cane: C12 H22 O11 ? 12 C atoms = 12(12.011) amu = 144.132 amu 22 H atoms = 22(1.0079) amu = 22.174 amu 11 O atoms = 11(15.9994) amu = 175.993 amu 394.299 amu
  • 9.
    MOLAR MASS Themolar massisthesumof themassesof theatoms present in onemoleof asubstance, which can bean element or acompound. It can beexpressed asaunit of massper molelikegrams/mol, kg/mol. Molar Massisan amount of thecompound equal to its molecular massin grams. Theunit of molar massisthe gram.
  • 12.
    EXAMPLES: 1. Find themolarmassof: a. Al = 27 g/mol b. Ca(OH)2­ = 74 g/mol Ca= 1 at x 40 g/mol = 40 g O = 2 at x 16 g/mol = 32 g H = 2 at x 1 g/mol = 2 g 74 g/mol
  • 13.
    2. How manymolesarepresent in: a. 5.4 g of Al 5.4 g x 1 mol = 0.2 mol 27 g b. 180 g of H2O 180 g x 1 mol = 10 mol 18 g 3. What isthemassof 5 mol of Ca(OH)2 5 mol x 74 g = 370 g mol 2 mol x 27 g = 26 g mol
  • 14.
    EXERCISES: 1. Calculate theformula mass of ammonium sulfate(NH4)2 SO4. 2. Find themolar massof Ca3(PO4)2. 3. Calculate the number of moles of Oxygen (O2 ) in 24.0 g of O2. 4. Calculate the molecular mass of C7 H5 NO3 S (Saccharin).
  • 15.
    AVOGADRO’SNUMBER The number ofmolecules in a mole of any molecular substance the same as the number of atoms in a gram-atom of any number. This number of atom is called theAvogadro’snumber, theaccepted valueof which is6.02483 x 1023 atoms/gram-atom of any element. A mole is the amount of substance that contains as Avogadro’s number of particlesequal to 6.02 x 1023 . Theparticlescan beatoms, molecules, or ions. Examples: Thereare6.02 x 1023 atomsin 1 moleof carbon Thereare6.02 x 1023 moleculesin 1 moleof H2­O Thereare6.02 x 1023 Na 6.02 x 10 Cl in 1 moleof NaCl
  • 18.
    EXAMPLES: 4. How manyatomsarepresent in: a. 5 mol of copper 5 mol x 6.02 x 1023 atoms = 30.10 or 3.01x 1023 atoms mol b. 48 g of carbon 48 g x 1 mol x 6.02 x 1023 atoms = 24.08 x 1023 or 12 g mol 24.08 x 1023 atoms 5. How many g of H2O will contain 3.01 x 1024 molecules?   3.01 x 1024 moleculesx 1 mol x 18 g = 90g 6.02 x 1023 molecules mol
  • 20.
  • 21.
    PERCENTAGE COMPOSITION the percentageof each element present in a compound. In chemistry, this composition is always on a weight basis unless specifically stated otherwise. Sometimes the composition of the mixture of gases is given on a volumetric basis. based upon the meaning of the symbols and formulas. Each symbol stands for one atomic weight’s worth of the element it represents, and each formula stands for one molecular weight’s worth of the compound it represents.
  • 22.
    EXAMPLES: 1. What isthepercentagecompositionof water? % H = 2g x 100% = 11.11% 18g % O = 18g x 100% = 88.89% 18g 100% 2. What isthepercentagecomposition of H2SO4? % H = 2 g x 100% = 2.0% 98.1 % S = 32.1g x 100% = 32.7% 98.1g % O = 64.0 g x 100% = 65.3% 98.1g 100%
  • 23.
    EXERCISES: 1. Calculatethepercentage composition ofVitamin E (C29H50O2). 2. Calculatethepercentage composition of Aluminum hydroxide: Al(OH)3