Stoichiometry
Stoichiometry
Chemistry I: Chapter 12
Chemistry I: Chapter 12
Chemistry I HD: Chapter 9
Chemistry I HD: Chapter 9 SAVE PAPER AND INK!!! When you
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Molar Mass of Compounds
Molar Mass of Compounds
The molar mass (MM) of a compound is
The molar mass (MM) of a compound is
determined the same way, except now you add
determined the same way, except now you add
up all the atomic masses for the molecule (or
up all the atomic masses for the molecule (or
compound)
compound)
Ex. Molar mass of CaClEx. Molar mass of CaCl
2
2
Avg. Atomic mass of Calcium = 40.08gAvg. Atomic mass of Calcium = 40.08g Avg. Atomic mass of Chlorine = 35.45gAvg. Atomic mass of Chlorine = 35.45g Molar Mass of calcium chloride = Molar Mass of calcium chloride =
40.08 g/mol Ca + (2 X 35.45) g/mol Cl 40.08 g/mol Ca + (2 X 35.45) g/mol Cl
110.98 g/mol CaCl 110.98 g/mol CaCl22
20
Ca
Flowchart
Flowchart
Atoms or
Molecules
Moles
Mass
(grams)
Divide by 6.02 X 1023
Multiply by 6.02 X 1023
Multiply by atomic/ molar mass from periodic table
Divide by
Practice
Practice
Calculate the Molar Mass of Calculate the Molar Mass of calcium phosphate
calcium phosphate Formula = Formula =
Masses elements:Masses elements:
Molar Mass = Molar Mass =
molar mass Avogadro’s numbermolar mass Avogadro’s number
Grams
Grams MolesMoles particles particles
Everything must go through
Everything must go through
Moles!!!
Moles!!!
Chocolate Chip Cookies!!
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?
Cookies and Chemistry…Huh!?!?
Cookies and Chemistry…Huh!?!?
Just like chocolate chip Just like chocolate chip
cookies have recipes,
cookies have recipes,
chemists have recipes as well
chemists have recipes as well
Instead of calling them Instead of calling them
recipes, we call them reaction
recipes, we call them reaction
equations
equations
Furthermore, instead of using Furthermore, instead of using
cups and teaspoons, we use
cups and teaspoons, we use
moles
moles
Lastly, instead of eggs, butter, Lastly, instead of eggs, butter,
sugar, etc. we use chemical
sugar, etc. we use chemical
compounds as ingredients
Chemistry Recipes
Chemistry Recipes
Looking at a reaction tells us how much of
Looking at a reaction tells us how much of
something you need to react with
something you need to react with
something else to get a product (like the
something else to get a product (like the
cookie recipe)
cookie recipe)
Be sure you have a balanced reaction
Be sure you have a balanced reaction
before you start!
before you start!
Example: 2 Na + ClExample: 2 Na + Cl
2
2 2 NaCl 2 NaCl
This reaction tells us that by mixing 2 moles of This reaction tells us that by mixing 2 moles of
sodium with 1 mole of chlorine we will get 2 moles
sodium with 1 mole of chlorine we will get 2 moles
of sodium chloride
of sodium chloride
What if we wanted 4 moles of NaCl? 10 moles? What if we wanted 4 moles of NaCl? 10 moles?
50 moles?
Practice
Practice
Write the balanced reaction for hydrogen gas Write the balanced reaction for hydrogen gas reacting with oxygen gas.
reacting with oxygen gas.
2 H
2 H22 + O + O22 2 H 2 H22OO
How many moles of reactants are needed?How many moles of reactants are needed? What if we wanted 4 moles of water?What if we wanted 4 moles of water?
What if we had 3 moles of oxygen, how much hydrogen What if we had 3 moles of oxygen, how much hydrogen
would we need to react, and how much water would we
would we need to react, and how much water would we
get?
get?
What if we had 50 moles of hydrogen, how much oxygen What if we had 50 moles of hydrogen, how much oxygen
would we need, and how much water produced?
Mole Ratios
Mole Ratios
These mole ratios can be used to calculate These mole ratios can be used to calculate the moles of one chemical from the given
the moles of one chemical from the given
amount of a different chemical
amount of a different chemical
Example: How many moles of chlorine are Example: How many moles of chlorine are needed to react with 5 moles of sodium
needed to react with 5 moles of sodium
(without any sodium left over)?
(without any sodium left over)?
2 Na + Cl
2 Na + Cl22 2 NaCl 2 NaCl
5 moles Na 1 mol Cl2
Mole-Mole Conversions
Mole-Mole Conversions
How many moles of sodium chloride will
How many moles of sodium chloride will
be produced if you react 2.6 moles of
be produced if you react 2.6 moles of
chlorine gas with an excess (more than
chlorine gas with an excess (more than
Mole-Mass Conversions
Mole-Mass Conversions
Most of the time in chemistry, the amounts are Most of the time in chemistry, the amounts are given in grams instead of moles
given in grams instead of moles
We still go through moles and use the mole ratio, We still go through moles and use the mole ratio, but now we also use molar mass to get to grams
but now we also use molar mass to get to grams
Example: How many grams of chlorine are required Example: How many grams of chlorine are required
to react completely with 5.00 moles of sodium to
to react completely with 5.00 moles of sodium to
produce sodium chloride?
produce sodium chloride?
2 Na + Cl
2 Na + Cl22 2 NaCl 2 NaCl
5.00 moles Na 1 mol Cl2 70.90g Cl2
2 mol Na 1 mol Cl2
Practice
Practice
Calculate the mass in grams of Iodine
Calculate the mass in grams of Iodine
required to react completely with 0.50
required to react completely with 0.50
Mass-Mole
Mass-Mole
We can also start with mass and convert to
We can also start with mass and convert to
moles of product or another reactant
moles of product or another reactant
We use molar mass and the mole ratio to get
We use molar mass and the mole ratio to get
to moles of the compound of interest
to moles of the compound of interest
Calculate the number of moles of ethane (CCalculate the number of moles of ethane (C22HH66) )
needed to produce 10.0 g of water
needed to produce 10.0 g of water
2 C2 C22HH66 + 7 O + 7 O22 4 CO 4 CO22 + 6 H + 6 H220 0
10.0 g H
2O 1 mol H
2O 2 mol C
2H
618.0 g H
2O 6 mol H
20
Practice
Practice
Calculate how many moles of oxygen are
Calculate how many moles of oxygen are
Mass-Mass Conversions
Mass-Mass Conversions
Most often we are given a starting mass
Most often we are given a starting mass
and want to find out the mass of a product
and want to find out the mass of a product
we will get (called theoretical yield) or how
we will get (called theoretical yield) or how
much of another reactant we need to
much of another reactant we need to
completely react with it (no leftover
completely react with it (no leftover
ingredients!)
ingredients!)
Now we must go from grams to moles,
Now we must go from grams to moles,
mole ratio, and back to grams of
mole ratio, and back to grams of
Mass-Mass Conversion
Mass-Mass Conversion
Ex. Calculate how many grams of
Ex. Calculate how many grams of
ammonia are produced when you react
ammonia are produced when you react
2.00g of nitrogen with excess hydrogen.
2.00g of nitrogen with excess hydrogen.
N
N
2 2+ 3 H
+ 3 H
2 2
2 NH
2 NH
332.00g N
21 mol N
22 mol NH
317.06g NH
3Practice
Practice
How many grams of calcium nitride are
How many grams of calcium nitride are
produced when 2.00 g of calcium reacts
produced when 2.00 g of calcium reacts
Limiting Reactant: Cookies
Limiting Reactant: 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
If we had the specified amount of all ingredients listed, could we make 4 dozen cookies?
What if we had 6 eggs and twice as much of everything else, could we make 9 dozen cookies?
Limiting Reactant
Limiting Reactant
Most of the time in chemistry we have more of Most of the time in chemistry we have more of one reactant than we need to completely use
one reactant than we need to completely use
up other reactant.
up other reactant.
That reactant is said to be in That reactant is said to be in excessexcess (there is (there is too much).
too much).
The other reactant limits how much product we The other reactant limits how much product we get. Once it runs out, the reaction s.
get. Once it runs out, the reaction s.
This is called the
Limiting Reactant
Limiting Reactant
To find the correct answer, we have to try To find the correct answer, we have to try allall of of the reactants. We have to calculate how much
the reactants. We have to calculate how much
of
of aa product we can get from product we can get from eacheach of the of the
reactants to determine which reactant is the
reactants to determine which reactant is the
limiting one.
limiting one.
The The lowerlower amount of amount of aa product is the correct product is the correct answer.
answer.
The reactant that makes the least amount of The reactant that makes the least amount of product is the
product is the limiting reactantlimiting reactant. Once you . Once you determine the limiting reactant, you should
determine the limiting reactant, you should
ALWAYS start with it!
ALWAYS start with it!
Be sure to pick Be sure to pick aa product! You can’t compare to product! You can’t compare to see which is greater and which is lower unless
see which is greater and which is lower unless
the product is the same!
Limiting Reactant: Example
Limiting Reactant: Example
10.0g of aluminum reacts with 35.0 grams of 10.0g of aluminum reacts with 35.0 grams of
chlorine gas to produce aluminum chloride. Which
chlorine gas to produce aluminum chloride. Which
reactant is limiting, which is in excess, and how
reactant is limiting, which is in excess, and how
much product is produced?
much product is produced?
2 Al + 3 Cl
2 Al + 3 Cl22 2 AlCl 2 AlCl33 Start with Al:Start with Al:
Now ClNow Cl22::
10.0 g Al 1 mol Al 2 mol AlCl3 133.5 g AlCl3
27.0 g Al 2 mol Al 1 mol AlCl3
= 49.4g AlCl3
35.0g Cl2 1 mol Cl2 2 mol AlCl3 133.5 g AlCl3
71.0 g Cl2 3 mol Cl2 1 mol AlCl3
= 43.9g AlCl3
Limiting
Limiting
Reactant
LR Example Continued
LR Example Continued
We get We get 49.4g49.4g of aluminum chloride from the given of aluminum chloride from the given amount of aluminum, but only
amount of aluminum, but only 43.9g43.9g of aluminum of aluminum chloride from the given amount of chlorine.
chloride from the given amount of chlorine.
Therefore, chlorine is the limiting reactant. Once
Therefore, chlorine is the limiting reactant. Once
the 35.0g of chlorine is used up, the reaction
the 35.0g of chlorine is used up, the reaction
comes to a complete .
Limiting Reactant Practice
Limiting Reactant Practice
15.0 g of potassium reacts with 15.0 g of
15.0 g of potassium reacts with 15.0 g of
iodine. Calculate which reactant is limiting
iodine. Calculate which reactant is limiting
Finding the Amount of Excess
Finding the Amount of Excess
By calculating the amount of the excess
By calculating the amount of the excess
reactant needed to completely react with
reactant needed to completely react with
the limiting reactant, we can subtract that
the limiting reactant, we can subtract that
amount from the given amount to find the
amount from the given amount to find the
amount of excess.
amount of excess.
Can we find the amount of excess
Can we find the amount of excess
Finding Excess Practice
Finding Excess Practice
15.0 g of potassium reacts with 15.0 g of iodine. 15.0 g of potassium reacts with 15.0 g of iodine.
2 K + I
2 K + I
22
2 KI
2 KI
We found that Iodine is the limiting reactant, and We found that Iodine is the limiting reactant, and 19.6 g of potassium iodide are produced.
19.6 g of potassium iodide are produced.
15.0 g I2 1 mol I2 2 mol K 39.1 g K
254 g I2 1 mol I2 1 mol K
= 4.62 g K USED!
15.0 g K – 4.62 g K = 10.38 g K EXCESS
Given amount of excess reactant Amount of excess reactant actually used
Limiting Reactant: Recap
Limiting Reactant: Recap
1.
1. You can recognize a limiting reactant problem because You can recognize a limiting reactant problem because
there is MORE THAN ONE GIVEN AMOUNT.
there is MORE THAN ONE GIVEN AMOUNT.
2.
2. Convert ALL of the reactants to the SAME product (pick Convert ALL of the reactants to the SAME product (pick
any product you choose.)
any product you choose.)
3.
3. The lowest answer is the correct answer.The lowest answer is the correct answer.
4.
4. The reactant that gave you the lowest answer is the The reactant that gave you the lowest answer is the
LIMITING REACTANT.
LIMITING REACTANT.
5.
5. The other reactant(s) are in EXCESS.The other reactant(s) are in EXCESS.
6.
6. To find the amount of excess, subtract the amount used To find the amount of excess, subtract the amount used
from the given amount.
from the given amount.
7.
7. If you have to find more than one product, be sure to If you have to find more than one product, be sure to
start with the limiting reactant. You don’t have to
start with the limiting reactant. You don’t have to
determine which is the LR over and over again!