# The Mole

```Chemistry
THE MOLE!!!
Let’s Take A Quiz
Let’s Go!
What is a mole?
• A.) A blind furry
animal.
• B.) A brown mark on
• C.) An important
Chemistry concept.
• D.) All of these.
As you may have guessed, D is
Although a mole might be cute and
fuzzy, we are going to focus on the
Chemistry concept.
A mole is a counting unit.
Just like:
•
•
•
•
12 eggs equals a dozen eggs
144 pencils equals one gross of pencils
60 seconds equals one minute
500 sheets of paper equals one ream
One mole equals 6.022 x 1023
particles
• So one mole of eggs would be 6.022 x 1023
eggs
• One mole of pencils would be 6.022 x 1023
pencils
• And so on...
Where did the mole come from?
• The unit, called the mole (or mol), is
defined as the number of atoms in exactly
12g of the carbon-12 isotope
• The number of particles in one mole, 6.022
x 1023, is known as Avogadro’s constant or
number.
• This was named after Amedeo Avogadro
(1776-1856) whose ideas were crucial to the
early development in Chemistry
6.022 x 1023 is a very large
number!
• If we did not use scientific notation to write
out 6.022 x 1023, we would write out 6022
with 20 zeros after it.
• Why don’t we try it.
602,200,000,000,000,00
0,000,000
Wow that is a BIG number!!
Imagine that we had a mole of
gumballs.
If all 6 billion people on Earth were
to do nothing but count the gumballs
in one mole at the rate of one gumball
per second, it would take over 3
million years to count all the
gumballs!!
What is all of this used for?
• Avogadro’s constant can be used to convert an
amount of moles into the equivalent number of
atoms or grams.
• This conversion is similar to changing 8 dozen
eggs into the number of individual eggs.
• Although this maybe easy to calculate quickly
strategy will make it easier for you later in this
Chapter.
Mole Problem Solving Strategy
Example: How many eggs are in 8 dozen?
• 1. List what you know.
(What was given in
the problem?)
• 2. Setup the problem.
Don’t forget your
units and show every
step.
• 3. NOW, and only
now, use your
calculator to verify the
1. # of dozen = 8 dozen
# of eggs = ? Eggs
2.
8 dozen x 12eggs =?eggs
1dozen
8 dozen x 12eggs =?eggs
1dozen
3. 8 x
12eggs
1
= 96 eggs
Looks easy right… Now you try one:
How many pencils are in 9 gross?
• 1. List what you know. 1. # of gross = 9 gross
(What was given in
# of pencils = ?pencils
the problem?)
2.
144pencils
• 2. Setup the problem.
9 gross X 1gross = ?pencils
Don’t forget your
units and show every
144pencils
9 gross X 1gross =
step.
?pencils
• 3. NOW, and only
144 pencils
now, use your
1
calculator to verify the 3. 9 x
= 1296
This strategy can also be used with
the mole concept.
How many atoms are in 3.5 moles of copper?
• 1.The procedure is the
same. List what you
know.
• 2. Notice that 3.5 moles is
in the numerator and then
1 mol is in the
denominator. This allows
you to cross out units.
• 3. Now calculate the
sense?
1. # of moles of Cu = 3.5 mol
# of Cu atoms = ?
2.
23
3.5 mol Cu x 6.022x10 atom sCu
1 m ol Cu
= ? atoms Cu
3.5 mol Cu x 6.022x1023 atom sCu
= ? atoms Cu
1 m ol Cu
3.5 x
= 2.1x 1024
23
6.022x10 atom sCu
atoms Cu
1
You can also convert from atoms to
moles… YEAH!!
How many moles are in 3.01 x 1023 atoms of Sodium?
1. # of Na atoms = 3.01 x 1023 atoms
# of moles of Na = ?
2. 3.01 x
1023
1 mole Na
atoms x
= ? mol Na
23
6.022 x10 atoms Na
3.01 x
1023
1 mole Na
atoms x
= ? mol Na
23
6.022 x10 atoms Na
3. 3.01 x
1023
1 mole Na
x
6.022 x10 23
= 0.500 mol Na
How many atoms are in 7.5 mol of Argon?
• Before you start throwing down random
numbers. Think about the problem. Should
the final answer be bigger or smaller than
6.022 x 1023?
• Since 1 mole is 6.022 x 1023 atoms, 7.5
moles has to be a larger number of atoms.
• Thinking through the problem before you
start it will allow you know if you solved
the problem correctly.
Now calculate: How many atoms
are in 7.5 mol of Argon?
1. # of moles of Ar = 7.5 mol
# of atoms of Ar = ? atoms
23
6
.
022
x
10
atomsAr = ? atoms Ar
2. 7.5 mol Ar x
1 mol Ar
23
6
.
022
x
10
atomsAr = ? atoms Ar
7.5 mol Ar x
1 mol Ar
3. 7.5 x
6.022x1023 atomsAr
1
= 4.52 x 1024 atoms Ar
Now in small groups try the
following practice problems
1. How many atoms are present in 3.7 mol of
sodium?
2. How many atoms are present in 155 mol of
arsenic?
3. How many moles of xenon is 5.66 x 1026
atoms?
If you showed all the steps, the
1.
2.2 x 1024 Na atoms
2.
9.33 x 1025 As atoms
3.
940. mol Xe
Here are a few mole problem
pointers:
• THINK about the problem before, after and
while you are doing the problem. Does the
answer make sense. Don’t just randomly
plug in numbers into your calculator.
this because they are mean. (although you
may disagree) This setup is the easiest and
best way to always get the correct answer.
Now you are ready for some mole
jokes!
•
•
•
•
•
•
Mol Gibson…. Get it? Ha ha
Where did Avogadro go on Saturday?
The shopping mole.. Wow these are funny!
What did Avogadro have on his pancakes?
Molasses!! I know you may think these
jokes are remolting, but you will grow to
love them!!
What did you say? One more
mole joke? If you insist.
•Why did Avogadro look forward to
the year 2000?
•It was the start of the new
molennium!!!
Good luck! Remember the best
practice is practice!
The End.
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