How do wemeasure matter?
By weight:
We buy bananas by the _______________.
By volume:
Milk is sold by the ____________________.
By counting:
There are ________ students in class.
kilo
ml
How do wemeasure matter?
• What if I wanted to know how many ATOMS
were in this copper penny? Would you like
to count? Could you?
5.
Avogadro’s Number
• Youcan count particles if you introduce a term
that represents a specified number of particles.
• In chemistry, the term used to express a specific
number of particles is a mole.
6.
Avogadro’s Number
• 1mole = 6.02 x 1023
particles
• That’s 602,000,000,000,000,000,000,000
602,000,000,000,000,000,000,000
• A very large number!
7.
Avogadro’s Number
This numberis known as
Avogadro’s number, named after
Amedeo Avogadro (an Italian
physicist and mathematician).
8.
Representative Particles
Representative particlesare units used to measure the
number of particles in a sample of an element or
compound.
Substance Representative Particle
element atom
covalent compound molecule
ionic compound formula unit
9.
Representative Particles
What isthe representative particle for each of these substances?
•copper
•sodium chloride
•water
atom
molecule
formula unit
10.
MOLE
• Use dimensionalanalysis to convert:
– moles to molecules
– moles to atoms
– moles to formula units
– moles to grams
– grams to atoms
– and many more….
11.
MOLE
When converting betweenmoles and particles,
the conversion factor to remember is:
1 mol = 6.02 x 1023
particles
The particle unit can be atoms, molecules, or
formula units.
12.
Mole/Particle Examples
1. Howmany moles are in 3.25 X 1020
atoms of lead?
3.25 x 1020
atoms Pb
1 mol = 6.02 x 1023
atoms
6.02 x 1023
atoms Pb
1 mol Pb
= 5.398671 x 10-4
= 5.40 x 10-4
mol Pb
13.
Mole/Particle Examples
2. Howmany molecules are there in 8.3 moles of sugar
(C12H22O11)?
8.3 mol C12H22O11
1 mol = 6.02 x 1023
molecules
6.02 x 1023
molec. C12H22O11
1 mol C12H22O11
= 5.0 x 1024
molec. C12H22O11
= 4.9966 x 1024
14.
Mole/Particle Examples
3. Howmany atoms are in 0.425 mol sulfur?
0.425 mol S
1 mol = 6.02 x 1023
atoms
6.02 x 1023
atoms S
1 mol S
= 2.56 x 1023
atoms of S
= 2.5585 x 1023
15.
Mole/Particle Examples
4. Howmany moles are in 5.42 x 1022
formula units of NaCl?
5.42 x 1022
Form. U NaCl
1 mol = 6.02 x 1023
Formula Unit
6.02 x 1023
Form. U NaCl
1 mol NaCl
= 0.090033222 = 0.0900 mol NaCl
Terms that Describethe Mass of a Substance
• Atomic mass – mass of one atom of an element
(unit = amu)
• Molecular mass - mass of one molecule of a
covalent compound (unit = amu)
• Formula mass - mass of one formula unit of an
ionic compound (unit = amu)
• Molar mass - mass of one mole of an element or
compound (unit = g/mol).
18.
Molar Mass
To calculatemolar mass:
1. Obtain all of the masses of the involved
elements from the periodic table.
2. Multiply each element’s mass by the subscript.
3. Add the resulting products.
4. Round the answer to the proper number of
decimal places.
Molar Mass ofCompounds Examples
• Diphosphorus pentaoxide P2O5
P =
O =
30.974
15.999
X 2
X 5
= 61.948
= 79.995 +
141.943 = 141.94 g/mol
21.
Molar Mass ofCompounds Examples
• Aluminum Hydroxide Al(OH)3
Al =
O =
26.982
15.999
X 1
X 3
= 26.982
= 47.997
+
78.003 = 78.00 g/mol
H = 1.008 X 3 = 3.024
+3 -1
22.
Molar Mass ofCompounds
Examples
• Barium phosphate Ba3(PO4)2
Ba =
P =
137.328
30.974
X 3
X 2
= 411.984
= 61.948
+
601.924 = 601.92 g/mol
O = 15.999 X 8 = 127.992
+2 -3
23.
Moles to Mass
•Use dimensional analysis to convert
–moles to mass or mass to moles.
• Mass unit = grams
• Conversion Factor to Remember:
– 1 mol = molar mass of the element or compound
(molar mass = g/mol) found on the periodic table
24.
Moles to MassExamples
• How many moles of carbon are in 26 g of
carbon?
26 g of C
Carbon: 1 mol = 12.01 g (from PT)
1 mol of C
12.01 g of C
= 2.2 mol of C
= 2.164862614
25.
Moles to MassExamples
• How many grams are there in 2.37 moles of
CO2?
2.37 mol CO2
C = 12.011 x 1
O = 15.999 x 2
44.01 g CO2
1 mol CO2
= 104 g CO2
= 104.3037
= 12.011
= 31.998+
44.009 g = 1 mol
26.
Moles to MassExamples
• How many moles are present in 142.1
grams of NaCl?
142.1 g NaCl
Na = 22.990 x 1
Cl = 35.453 x 1
1 mol NaCl
58.44 g NaCl
= 2.432 mol NaCl
= 2.43155373
= 22.990
= 35.453+
58.443 g = 1 mol
27.
Moles to MassExamples
• How many grams are in 3.34 moles of
potassium bromide?
3.34 mol KBr
K = 39.098 x 1
Br = 79.904 x 1
119.00 g KBr
1 mol KBr
= 397 g KBr
= 397.46
= 39.098
= 79.904+
119.002 g = 1 mol
+1 -1
KBr
28.
Molar Volume ofa Gas
• The volume of a gas changes as the
temperature and pressure change, so the
volume is usually measured at standard
temperature and pressure.
• STP = abbreviation for standard temperature
and pressure
• Standard temperature = 0o
C = 273 K
• Standard pressure = 1 atm or 101.3 kPa
29.
Molar Volume ofa Gas
• At STP, one mole of any gas occupies the same
volume: 22.4 L.
30.
Molar Volume ofa Gas
• Use dimensional analysis to convert:
–volume (liters) to moles
–or moles to volume (liters)
• Conversion Factor to Remember:
–1 mole = 22.4 L
31.
Molar Volume ofa Gas
Examples
• Determine the volume, in liters, of 0.60 mol
SO2 gas at STP.
32.
Molar Volume ofa Gas
Examples
• Assuming STP, how many moles are in 67.2 L
SO2?
33.
Molar Volume ofa Gas
Examples
• How many moles are in 1.0 x 103
L of C2H6?
34.
Molar Volume ofa Gas
Examples
• What is the volume at STP of 3.20 x10-3
mol
CO2?
35.
Mole Calculations Learned
MOLES
#of Particles
(atoms,
molecules,
formula units)
Mass
(grams)
Liters of gas
at STP
1 mol =
6.02 x 1023
particles
1 mol = 22.4 L
1 mol = mass from
Periodic Table