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Lesson 16: Theoretical Yield Actual Yield Percent Yield

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Page 1: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Lesson 16:

Theoretical Yield

Actual Yield

Percent Yield

Page 2: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Do Now (5pts) April 3, 2019• Copy down info from CJ board.

• Take out calculators to be checked.

• Answer questions in Box 1 of Lesson 16 note packet.

• Progress reports will be handed out next class. Quiz correction due date will be announced then.

• Who needs to make a make-up quiz? Please come see me at the podium.

Page 3: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

2 1 4 1

2 flags + 1 pole + 4 wheels + 1 car body 1 car

If you had 62 flags, 37 poles, 102 wheels, and 30 car bodies, how many complete

toy cars could you make? What reagent is limiting?

62 flags / 2 per car = 3137 poles / 1 per car = 37102 wheels / 4 per car = 25.530 car bodies / 1 per car = 30

Has the smallest equivalent, the wheels are the limiting reagentYou can only make 25 complete cars

Page 4: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

SiO2 (s) + 4HF (g) SiF4 (g) + 2H2O (l)If you started with 0.910 mol of silicon dioxide and 3.51 mol of HF, what is the limiting reactant?What is the theoretical yield of water (in moles)?

Page 5: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

HW review

Page 6: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Review: Limiting and Excess Reagents

One reactant almost always limits the amount of product produced in a reaction.

Once one of the reactant is used up, ____________________________________________.

The substance that is used up first is the ________________________________.

Identifying the limiting reagent: calculate the ___________________________________.

The limiting reagent has the lesser equivalent (you will run out of that reactant

first).

then no more product can be formedlimiting reagent

molar equivalents

Page 7: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

1SiO2 + 4HF → 2 SiF4 + 2 H2O

4.5 mol 6.0 mol

What is the limiting reagent?

Amount that you

start with

Co-efficient of the

reactant

4.5

1vs.

6.0

4

4.5 1.5These

numbers are called “ molar equivalents”

This number is SMALLER, therefore it is the limiting

reagent.

HF

HF

SiO2

Page 8: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Amount that you

start with

Co-efficient of the

reactant

Finding the “molar equivalent” of each reactant:

This has to be in compounds, molecules, or moles.

Page 9: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

N2H4 (l) + 2 H2O2 (l) → N2 (g) + 4 H2O (g)

0.750 mol 5.2 mol What is the limiting reagent?

Amount that you

start with

Co-efficient of the

reactant

0.750

1vs.

5.2

2

0.750 2.6These

numbers are called “ molar equivalents”

This number is SMALLER, therefore it is the limiting

reagent.

H2O2

N2H4

N2H4

Page 10: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Let’s look at #3 on p.3

Page 11: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

If 500 mol CO and 750 mol H2 are present, which is the limiting reagent?

500 mol CO1

750 mol H2

2

500 375 H2 is the limiting reagent

Methanol, CH3OH is the simplest of alcohols. It is synthesized by the

reaction of hydrogen and carbon monoxide.

CO (g) + 2H2 (g) CH3OH

Page 12: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Methanol, CH3OH is the simplest of alcohols. It is synthesized by the

reaction of hydrogen and carbon monoxide.

CO (g) + 2H2 (g) CH3OH

How many moles of the excess reagent remain unchanged?

750 mol H2

mol H2

mol COmol CO×

1=

2

1375 will be used up

Amount we started with – amount consumed in reaction

500 mol CO – 375 mol CO = 125 mol CO

Start with the limiting reagent:

Page 13: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Methanol, CH3OH is the simplest of alcohols. It is synthesized by the

reaction of hydrogen and carbon monoxide.

CO (g) + 2H2 (g) CH3OH

How many moles of CH3OH are formed?

750 mol H2

mol H2

mol CH3OH×

1=

2

Start with the limiting reagent:

1 mol CH3OH375 will be produced

Page 14: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Let’s look at the second problem on p.3

Page 15: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

The black oxide of iron, Fe3O4, occurs in nature as the mineral magnetite. The substance can also be used in the laboratory by the reaction between red-hot iron and steam according to the following reaction:

3Fe(s) + 4H2O (g) Fe3O4(s) + 4H2 (g)

When 36 g of H2O are mixed with 67.0 g Fe, which is the limiting reagent?

36 g H2O

18.016 g H2O

1 mol H2O

67.0 g Fe

55.85 g Fe

1 mol Fe

×

×

1

1

=

=

2 mol H2O

1.19964 mol Fe

2 mol H2O

4

1.19964 mol Fe

3

=

=

0.5

0.39988

LR

FIRST – find how many moles of each reactant you have.THEN – calculate the mole equivalents.

molar mass

molar mass

mole equivalent

mole equivalent

Page 16: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

What mass in grams of black iron oxide is produced?

3Fe(s) + 4H2O (g) Fe3O4(s) + 4H2 (g)LR

36 g

This is a grams grams conversion.

67.0 g Fe1 ×

g Fe

mol Fe

mol Fe

mol Fe3O4

mol Fe3O4

g Fe3O4

______ g Fe3O4

× × =

molar mass molar massMolar ratio of reactant to product in

balanced reaction

55.851 1

3 1231.55

92.6

92.592

67.0 g

ER

Start with the limiting reagent:

Page 17: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

What mass in grams of excess reagent remains when the reaction is completed?

3Fe(s) + 4H2O (g) Fe3O4(s) + 4H2 (g)

LR

36 g

Start with the limiting reagent:

67 g Fe1 g Fe

mol Fe

mol Fe

mol H2O× × ×

mol H2O

g H2O=55.85

134

118.016 29 g H2O

consumed during the reaction

Amount we started with – amount consumed in reaction

36g water to start – 29 g used up = 7 g water left over

67.0 g

ER

Page 18: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Lesson 22:

Theoretical Yield

Actual Yield

Percent Yield

Page 19: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Theoretical yield is the _________________________________________________________

when the limiting reagent is completely consumed.

Theoretical yield _____________________________________________________________ and is

calculated using stoichiometry ________________________________________________.

amount of the limiting reagent

from the limiting reagent.

depends solely on the

beginning

THEORETICAL YIELD

maximum amount of product that can be formed

Page 20: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Just as the __________________allows us to calculate limiting and excess reagents and

masses, we can also ____________________ the mass of products in any given reaction.

The theoretical yield represents _____________________________________________________

THEORETICAL YIELD

predict

mole ratio

the maximum quantity of product possible if the reaction proceeds to completion.

This is what you’ve been calculating all along

Page 21: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

The ______________________________________________obtained from a

reaction is called the actual yield (or experimental yield) of that

product.

measured amount of a product

ACTUAL YIELD

Page 22: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

PERCENT YIELD

Comparing the theoretical and actual yield helps chemists determine the

reaction’s _________________________. efficiency

actual yieldtheoretical yield × 100Percentage yield =

• The percent yield represents the ____________of the actual yield to the theoretical yield.

ratio

Page 23: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Let’s look at the #1 on p.5

Page 24: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

CH4 + 2O2 CO2 + 2H2O

How many grams of H2O are expected when 8.00 grams of CH4 reacts

with an excess of O2?

8.00 g CH4

g CH4

mol CH4

mol CH4

mol H2Omol H2O

g H2O

g H2O

Theoretical Yield

× × × =1 16.042

1

1

2

1

18.016

18.0

Start with the limiting reagent:

Page 25: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

If only 17.0 grams of H2O are produced, what is the percent yield of this

reaction?

CH4 + 2O2 CO2 + 2H2O

g H2O Theoretical Yield18.0

g H2O ACTUAL Yield17.0

actual yieldtheoretical yield

× 100Percentage yield =

17.0 / 18.0 = 0.9444× 100

94.4 % yield

Page 26: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Let’s look at the #2 on p.5

Page 27: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

C6H6 (l) + Cl2(g) C6H5Cl (l) + HCl (g)52.6 g 60.2 gStarting amounts:

Which is the limiting reagent?

WHAT DO I DO?First, convert from grams to moles

using molar mass.

Then, calculate mole equivalents.

Page 28: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

C6H6 (l) + Cl2(g) C6H5Cl (l) + HCl (g)52.6 g 60.2 gStarting amounts:

Which is the limiting reagent?

52.6 g C6H6

78.108 g C6H6

1 mol C6H6 0.673 mol C6H6

60.2 g Cl2

70.9 g Cl2

1 mol Cl20.849 mol Cl2

×

×

1

1

=

=

0.673 /1 = 0.673

0.849 /1 = 0.849

LR ER

Page 29: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

C6H6 (l) + Cl2(g) C6H5Cl (l) + HCl (g)52.6 g 60.2 gStarting amounts:

LR ERDetermine the amount of excess reagent reacted and amount remaining.

Start with the limiting reagent:

52.6 g C6H6

78.108 g C6H6

1 mol C6H6

1 mol C6H6

1 mol Cl2

1 mol Cl2

70.9 g Cl2× × ×

g chlorineconsumed in reaction

1

47.760.2 g to start – 47.7 g consumed = 12.5 g of Cl2 in excess

Page 30: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

Calculate the theoretical yield of product chlorobenzene.

C6H6 (l) + Cl2(g) C6H5Cl (l) + HCl (g)52.6 g 60.2 gStarting amounts:

LR ER

52.6 g C6H6

78.108 g C6H6

1 mol C6H6

1 mol C6H6

1 mol C6H5Cl× × ×

1 1 mol C6H5Cl

112.55 g C6H5Cl

= 80.98 g C6H5Cl

Start with the limiting reagent:

Theoretically made if the reaction was 100% efficientBUT REACTIONS ARE NOT ALWAYS 100% EFFICIENT!

Page 31: Lesson 16: Theoretical Yield Actual Yield Percent Yield · O are produced, what is the percent yield of this reaction? CH 4 + 2O 2 CO 2 + 2H 2 O 18.0 g H 2 O Theoretical Yield 17.0

C6H6 (l) + Cl2(g) C6H5Cl (l) + HCl (g)

If 73.9 g of chlorobenzene (C6H5Cl) was actually produced, what was the percent yield?

Actual yield = 73.9 g C6H5Cl

Theoretical yield = 80.98 g C6H5Cl

73.9 / 80.98 = 0.91257× 100

91.3 % yield

actual yieldtheoretical yield

× 100Percentage yield =