2. Learning Goals Dy1
Objective:
We will calculate the amount of reactants
required or products formed in a nonchemical
process.
Product:
I will describe the relationship between the
reactants and products using a real life,
nonchemical process.
3. Agenda
Bell Ringer
Review prior learning
New learning
What is Stoichiometry?
How does it relate to a recipe?
How can we use a balanced chemical
reaction?
Product
5. The Mole
A counting unit
Similar to a dozen, except instead of 12,
it’s 602,000,000,000,000,000,000,000
6.02 X 1023 (in scientific notation)
This number is named in honor of
Amedeo Avogadro (1776 – 1856)
6. Molar Mass
The Mass of 1 mole (in grams)
Equal to the numerical value of the average atomic
mass (get from periodic table), or add the atoms
together for a molecule
1 mole of C atoms
=
1 mole of Mg atoms
1 mole of O2 molecules
12.0 g
=
=
32.0 g
24.3 g
7. Molar Mass of Compounds
The molar mass (MM) of a compound is determined
the same way, except now you add up all the atomic
masses for the molecule (or compound)
Ex. Molar mass of CaCl2
Avg. Atomic mass of Calcium = 40.08g
Avg. Atomic mass of Chlorine = 35.45g
Molar Mass of calcium chloride =
40.08 g/mol Ca + (2 X 35.45) g/mol Cl
110.98 g/mol CaCl2
20
Ca
40.08
17
Cl
35.45
8. Atoms or
Molecules
Flowchart
Divide by 6.02 X 1023
Multiply by 6.02 X 1023
Moles
Multiply by atomic/molar mass
from periodic table
Divide by atomic/molar
mass from periodic table
Mass
(grams)
9. Practice
Calculate the Molar Mass of calcium
phosphate
Formula =
Ca3(PO4)2
Masses elements:
Ca: 3 Ca’s X 40.1 =
P: 2 P’s X 31.0 =
O: 8 O’s X 16.0 =
120.3 g
62.0 g
128.0 g
Molar Mass =
120.3g + 62.0g +128.0g
310.3 g/mol
11. Atoms/Molecules and Grams
How many moles of Cu are present in 35.4 g of Cu?
How many atoms?
35.4 g x 1 mol = 0.557 mol Cu
63.55 g
0.557 mol Cu x 6.02x1023 atoms = 3.35x1023 atoms
1 mol
12. On your own!
How many moles of Fe are present in 102.4 g of
Fe? How many atoms?
102.4 g x 1 mol = 1.83 mol Fe
55.85 g
1.83 mol Fe x 6.02x1023 atoms = 1.10x1024 atoms
1 mol
13. Work backwards!
What is the mass (in grams) of 1.20x1024 molecules
of glucose (C6H12O6)?
1.20x1024 molec. X 1 mol = 1.99 mol
6.02x1023 molec.
1.99 mol x 180.12 g = 358.4 g
1 mol
From periodic table
15. What is Stoichiometry?
Calculations of quantities in balanced
chemical reactions.
Balanced Equations are recipes that tell
chemists what amounts of reactants to mix
and what amount of products to expect.
Let’s look at some recipes.
16. Chocolate Chip Cookies!!
1 cup butter
1/2 cup white sugar
1 cup packed brown sugar
1 teaspoon vanilla extract
2 eggs
2 1/2 cups all-purpose flour
1 teaspoon baking soda
1 teaspoon salt
2 cups semisweet chocolate chips
Makes 3 dozen
How many eggs are needed to make 3 dozen cookies?
How much butter is needed for the amount of chocolate chips
used?
How many eggs would we need to make 9 dozen cookies?
How much brown sugar would I need if I had 1 ½ cups white sugar?
17. Cookies and Chemistry
Just like chocolate chip cookies
have recipes, chemists have recipes
as well
Instead of calling them recipes, we
call them reaction equations
Furthermore, instead of using cups
and teaspoons, we use moles
Lastly, instead of eggs, butter,
sugar, etc. we use chemical
compounds as ingredients
18. Guided Practice
In a 5 day workweek, Tiny Tyke is scheduled
to make 640 tricycles. How many wheels
should be in the plant on Monday morning to
make these tricycles?
Use the equation recipe on page 238.
F+S+3W+H+2P FSW3HP2
F- frame S-seat W-wheels H-handlebars P-
pedals
19. Guided Example
Your group has been selected to prepare a
cake for the class bake sale. You can calculate
the number of cakes that you can make from
the ingredients you have by using the recipe.
20. Write the “Cake Equation”
4cupsflour + 1 stick butter + 4 eggs + 4cups
sugar + 3 cups milk + 1 spoon baking powder
= 1 cake
You have these ingredients:
5 cups of flour,6 cups of sugar,6 eggs, 6
cups of milk, a lot of baking powder, 3 sticks
of butter
21. Closure
Stoichiometry will include conversions
between different substances and amounts
indicating how much are necessary for a
given reaction.
A chemical equation is similar to a recipe.
The amount of product made depends on the
amount of reactants available.
22. Product
Summarize the relationship between the
reactants and products using a real life,
nonchemical process such as making a
circuit work.
23. Mole to Mole conversions ( dy2)
We will construct mole ratios and use them
to solve problems
I will describe the relationship between the
reactants and products using mole ratios.
25. What is a RATIO?
In math………….
What does it tell you?
How can it be written?
26. What information can we get?
From a balanced equation:
N2 + 3H2 2NH3
Moles?
Note: Coefficient in a balanced equation tells
us the number of moles.
27. Chemistry Recipes
Looking at a reaction tells us how much of
something you need to react with something
else to get a product (like the cookie recipe)
Be sure you have a balanced reaction before
you start!
Example: 2 Na + Cl2 2 NaCl
This reaction tells us that by mixing 2 moles of
sodium with 1 mole of chlorine we will get 2 moles of
sodium chloride
What if we wanted 4 moles of NaCl? 10 moles?
50 moles?
28. Practice
Write the balanced reaction for hydrogen gas reacting with
oxygen gas.
2 H2 + O2 2 H2O
2 mol H2
How many moles of reactants are needed?
1 mol O2
What if we wanted 4 moles of water?
4 mol H2
2 mol O2
What if we had 3 moles of oxygen, how much hydrogen would
we need to react and how much water would we get?
6 mol H2, 6 mol H2O
What if we had 50 moles of hydrogen, how much oxygen
would we need and how much water produced?
25 mol O2, 50 mol H2O
29. Mole Ratios
These mole ratios can be used to calculate the
moles of one chemical from the given amount of a
different chemical
Example: How many moles of chlorine is needed to
react with 5 moles of sodium (without any sodium left
over)?
2 Na + Cl2 2 NaCl
5 moles Na 1 mol Cl2
2 mol Na
= 2.5 moles Cl2
30. Mole-Mole Conversions
How many moles of sodium chloride will be
produced if you react 2.6 moles of chlorine gas
with an excess (more than you need) of sodium
metal?
2 Na + Cl2 2 NaCl
2.6 moles Cl2 2 mol NaCl
1 mol Cl2
= 5.2 moles NaCl
31. Mole-Mass Conversions
Most of the time in chemistry, the amounts are given in
grams instead of moles
We still go through moles and use the mole ratio, but now
we also use molar mass to get to grams
Example: How many grams of chlorine are
required to react completely with 5.00 moles of
sodium to produce sodium chloride?
2 Na + Cl2 2 NaCl
5.00 moles Na 1 mol Cl2
2 mol Na
70.90g Cl2
1 mol Cl
= 177g Cl2
32. You Practice
Calculate the mass in grams of Iodine
required to react completely with 0.50 moles
of aluminum.
2 Al + 3 I2 2 AlI3
33. Mass-Mole
We can also start with mass and convert to moles of
product or another reactant
We use molar mass and the mole ratio to get to
moles of the compound of interest
Calculate the number of moles of ethane (C2H6)
needed to produce 10.0 g of water
2 C2H6 + 7 O2 4 CO2 + 6 H20
10.0 g H2O 1 mol H2O
2 mol C2H6 = 0.185
18.0 g H2O 6 mol H20
mol C2H6
34. Mass-Mass Conversions
Most often we are given a starting mass and
want to find out the mass of a product we will get
(called theoretical yield) or how much of another
reactant we need to completely react with it (no
leftover ingredients!)
Now we must go from grams to moles, mole
ratio, and back to grams of compound we are
interested in
35. Mass-Mass Conversion
Ex. Calculate how many grams of ammonia
are produced when you react 2.00g of
nitrogen with excess hydrogen.
N2 + 3 H2 2 NH3
2.00g N2
1 mol N2
2 mol NH3 17.06g NH3
28.02g N2 1 mol N2
= 2.4 g NH3
1 mol NH3
36. Practice
How many grams of calcium nitride are
produced when 2.00 g of calcium reacts with
an excess of nitrogen?