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Mole
• SI base unit for measuring the amount of substance
• The number of representative particles in exactly 12 grams of pure carbon-12
• 1 mole = 6.02 x 1023 representative particles
Avogadro’s Number
• 6.02 x 1023 is called Avogadro’s number• It is the number of representative particles
equal to 1 mole• A representative particle is any kind of particle
and depends on the substance– Water = molecule– Copper = atom– NaCl (salt) = formula unit
Molar/Formula Mass
• Molar/Formula mass is the mass in grams of 1 mole of any pure substance. – units are g/mol
• Molar mass is equal to the atomic mass on the periodic table
• Gram atomic mass: (found on periodic table)– Ex: C = 12.011 amu
• This means 1 mole of Carbon = 12.011 g
Formula Mass/Molar Mass• Formula or Molar mass is the mass of 1 mole
of a pure substance
H2O – covalent compound (metal/nonmental)
H = 2 x 1 g = 2 gO = 1 x 16 g = 16 gtotal = moles x avg. atomic mass= 18 g
• Let’s practice: Find the # of grams 1 mole of the following is equal to– H2O2
– NaCl– Ca(NO3)2
– (NH4)3PO4
– N2O4
Percent Composition
• You can calculate the percentage of a certain element in a compound
• Use the % Formula: (Part/Whole) x 100 =
• 1st- we need the formula mass or the whole• 2nd – we need the part found in the compound• 3rd – divide and multiple by 100
• Example: What is the % of Hydrogen in H2O?
1st: Gram atomic Mass– H2O – covalent compound (metal/nonmental)
H = 2 x 1 = 2O = 1 x 16 = 16total = moles x avg. atomic mass= 18 g
2nd: Hydrogen has a mass of 2g
3rd: %H = (2g/18g) x 100 = 11.11%
• What is the percent of oxygen in in H2O?
• The percent of each element in a compound should add and equal 100.
• Lets practice: Find the percent composition of each of the elements in the following compounds. – Fe2O3
– Cu2S
Molar Mass can be used as a Conversion Factor
• What is the mass in grams of 2.5 mol of NaCl?
• Steps– 1st : get the formula/molar mass of the compound– 2nd: convert
Na = 1 x 23 = 23Cl = 1 x 35.5 = 35.5
= 58.5g
?g = 2.5 mol NaCl 58.5 g NaCl = 146 g NaCl 1 mol NaCl
Avogadro’s number as a conversion factor
• 1 mole = 6.02 x 1023 representative particles• Representative particles can be atoms, molecules,
particles, formula units, pieces, etc• How many molecules are in 3.5 moles of CO2?
?molecules = 3.5 mol CO2 6.02 x 1023 molecules =1 mol NaCl
2.1 x 1024 molecules CO2
Volume Conversions
• At STP 1 mol = 22.4 liters of a gas• What volume will 54.6 grams of CO2 occupy at
STP?
?liters = 54.6 g CO2 1 mol CO2 22.4 liters CO2 =44 g CO2 1 mole CO2
27.8 liters of CO2
• Let’s practice: 1.How many grams are in 0.817 moles of
C2H2O6?
2.How many moles are in 60 grams of CaC03?
3.How many formula units of CaCl2 are in 45 grams?
Empirical Formulas
• The simplest whole number formula/ratio of a compound. This means the equation cannot be reduced anymore.
• Smallest whole number ratio
• Example: An unknown sample contains 25% H and 75% C. What is the empirical formula
• Steps: 1st Convert % to grams
(Assume you have 100 grams total)
2nd Convert grams to moles by using the atomic mass
25 % = 25 grams H75 % = 75 grams C
25 % = 25 g H x (1mol H/1g H)= 25 mol H
75 % = 75 g C x (1mol C/12 g C)= 6.25 mol O
3rd Divide by the smallest # of moles to get the ratio
4th Put numbers as subscripts of elements in formula
5th if a whole number is not found after dividing, multiply by a factor to make it a whole # (must multiply all numbers by the same factor)
H = 25 mol/ 6.25 mol = 4
C = 6.25 mol / 6.25 mol= 1
CH4
Molecular Formula
• Indicates the actual amount of atoms present
• Must have molecular weight to determine molecular formula
Steps: 1.Determine the empirical formula2.Determine the empirical weight (molar mass
of the empirical formula)3.Divide the molecular weight given by the
empirical weight you calculated– If one, then the empirical formula is the same as
the molecular formula
4. If the answers from step 3 is a whole number, then take the answer and multiply all coefficients in the equation by the number.
5. If it is not a whole number you must multiple by a factor to make it a whole number then multiply each of the subscripts by it.
This will give the molecular formula.
Molecular Formula Example
• What is the molecular formula of a compound with a molecular mass of 64 g/mol and an empirical formula of CH4?
• CH4 empirical mass = (12) + (4 x 1) = 16g/mol
• Molecular mass = 64 g/mol• 64 / 16 = 4• Multiply subscripts by 4• New formula is C4H16