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Copy of Theoretical Yield, Limiting Reagent Percent Yield Practice 1-2 (5/28/2026)

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C.4.5 Use a balanced chemical equation to calculate the quantities of reactants needed and products made in a chemical reaction that goes to completion.

Learning Goals:
  • I can use a balanced chemical equation to calculate the quantities of reactants needed in a completed chemical reaction.
  • I can use a balanced chemical equation to calculate the products made in a completed chemical reaction.
C.4.5 Use a balanced chemical equation to calculate the quantities of reactants needed and products made in a chemical reaction that goes to completion.

Learning Goals:
  • I can use a balanced chemical equation to calculate the quantities of reactants needed in a completed chemical reaction.
  • I can use a balanced chemical equation to calculate the products made in a completed chemical reaction.

Limiting Reagent (Reactant)

  • Reactant 1 + Reactant 2 → Product(s)
  • Usually, one of the reactants is fully consumed in a reaction before the other.
  • Limiting Reagent - the reactant that is fully consumed, first.
  • The reaction will stop when the limiting reagent is consumed.

Limiting Reagent (cont - 2)

Example - Grilled Cheese Sandwiches
  • 2 slices of bread + 1 slice of cheese → 1 grilled cheese
  • Cheese is consumed, first.
  • Cheese is the limiting reagent.

Limiting Reagent (cont - 3)

Identifying the Limiting Reagent:
  • Sometimes we will find this via stoichiometric calculations.
  • In many of your first questions, it will tell you one of the reactions is in excess and another has a specific quantity; usually the reactant in excess is NOT the limiting reagent while the reactant with a provided quantity is the limiting reagent.

Yield Calculations - three aspects

  • Theoretical Yield - calculated
  • Actual Yield - measured in a lab
  • Percent Yield - calculated
Theoretical Yield
  • Amount of product that may be produced.
  • Use stoichiometric calculations of a balanced equation.
  • Expressed in mass (grams) or moles.
Actual Yield
  • Amount of product that is produced.
  • Measured amount in a lab.
  • Commonly less than the theoretical yield.
  • Expressed in mass (grams) or moles.
Percent Yield
  • The degree that the theoretical yield is achieved.
  • Calculated using a ratio of the actual yield compared to the theoretical yield.
  • Expressed as a percent.

Example 1

CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation
CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation
CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation

Step 2 - Theoretical Yield
  • Need molar masses of CuSO4 and Cu
  • Use periodic table.
CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation

Step 2 - Theoretical Yield
  • Need molar masses of CuSO4 and Cu
  • Use periodic table.
CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation

Step 2 - Theoretical Yield
  • Need molar masses of CuSO4 and Cu
  • Use periodic table.

Set-up the equation (3 parts)
  1. Mass of reactant to moles of reactant (need the molar mass of reactant).
CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation

Step 2 - Theoretical Yield
  • Need molar masses of CuSO4 and Cu
  • Use periodic table.

Set-up the equation (3 parts)
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product (1 mol of CuSO4 → 1 mol Cu).
CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation

Step 2 - Theoretical Yield
  • Need molar masses of CuSO4 and Cu
  • Use periodic table.

Set-up the equation (3 parts)
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product.
  3. Moles of product to mass of product (need the molar mass of product).
CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation

Step 2 - Theoretical Yield
  • Need molar masses of CuSO4 and Cu
  • Use periodic table.

Set-up the equation (3 parts)
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product.
  3. Moles of product to mass of product.
CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation

Step 2 - Theoretical Yield
  • Need molar masses of CuSO4 and Cu
  • Use periodic table.
Theoretical Yield = 0.507 g Cu

Step 3 - Percent Yield
  • Actual Yield = 0.392 g Cu

CuSO4 + Zn → Cu + ZnSO4
  • 1.274 g of CuSO4 was reacted with an excess of Zn to produce 0.392 g Cu.
Step 1 – Balance the Equation

Step 2 - Theoretical Yield
  • Need molar masses of CuSO4 and Cu
  • Use periodic table.
Theoretical Yield = 0.507 g Cu

Step 3 - Percent Yield
  • Actual Yield = 0.392 g Cu

Example 2

CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield
  • Need molar mass of CCl4 and CF2Cl2
  • Use periodic table.
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield
  • Need molar mass of CCl4 and CF2Cl2
  • Use periodic table.

CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield
  • Need molar mass of CCl4 and CF2Cl2
  • Use periodic table.


Set-up the equation (3 parts)
  1. Mass of reactant to moles of reactant (need the molar mass of reactant.)
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield
  • Need molar mass of CCl4 and CF2Cl2
  • Use periodic table.


Set-up the equation (3 parts)
  1. Mass of reactant to moles of reactant (need the molar mass of reactant.)

Example 3 - Limiting Reagent

Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
  • In this example, we will be using both reactants and the product to determine the limiting reagent.
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Need molar mass of both reactants and the product (necessary to deter. limiting reagent).
  • Use periodic table
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Practice Questions

You Need:
  • Scientific Calculator (recommend - Natural Scientific Calculator app for cellphone)
  • Paper
  • Pencil (it erases...)
  • Periodic Table (provided on each question).
Question 1
1.
The following reaction was performed:

LiOH + KCl → LiCl + KOH
  • 20.0 g of LiOH was reacted with an excess of KCl to produce 6.0 g LiCl.
Step 1 - Balance the equation (if you need "1" of anything, place an _ in the blank - "shift" + "hyphen").

_______ LiOH + _______ KCl → _______ LiCl + _______ KOH

Step 2 - Calculate the theoretical yield of LiCl.
  • Theoretical yield _______ g
Step 3 - Calculate the percent yield if 6.0 g of LiCl was actually produced.
  • Percent yield _______ %

Question 2
2.
Question 3
3.
The following reaction was performed:

NaCl + CaO → CaCl2 + Na2O
  • 20.0 g of CaO is reacted with excess NaCl.
Step 1 - Balance the equation (if you need "1" of anything, place an _ in the blank - "shift" + "hyphen").

_______ NaCl + _______ CaO → _______ CaCl2 + _______ Na2O

Step 2 - Calculate the theoretical yield of Na2O.
  • Theoretical yield _______ g
Step 3 - Calculate the percent yield if 4.5 g Na2O was produced.
  • Percent yield _______%

Question 4
4.
Question 5
5.
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield
  • Need molar mass of CCl4 and CF2Cl2
  • Use periodic table.


Set-up the equation (3 parts)
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product (1 mol CCl4 → 1 mol CF2Cl2).
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield
  • Need molar mass of CCl4 and CF2Cl2
  • Use periodic table.


Set-up the equation (3 parts)
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product.
  3. Moles of product to mass of product (use molar mass of product).
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield
  • Need molar mass of CCl4 and CF2Cl2
  • Use periodic table.


Set-up the equation (3 parts)
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product.
  3. Moles of product to mass of product.
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield
  • Need molar mass of CCl4 and CF2Cl2
  • Use periodic table.


Theoretical Yield = 25.86 g CF2Cl2

Step 3 - Percent Yield
  • Actual Yield = 12.5 g CF2Cl2
CCl4 + HF → CF2Cl2 + HCl
  • 32.9 g CCl4 is reacted with an excess of HF to produce 12.5 g CF2Cl2
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield
  • Need molar mass of CCl4 and CF2Cl2
  • Use periodic table.


Theoretical Yield = 25.86 g CF2Cl2

Step 3 - Percent Yield
  • Actual Yield = 12.5 g CF2Cl2

Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Set-up two reactions (for both reactants) - 3 parts.

Reaction 1 - for silicon (Si):
  1. Mass of reactant to moles of reactant (use molar mass of Si).
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Set-up two reactions (for both reactants) - 3 parts.

Reaction 1 - for silicon (Si):
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product (3 mol Si → 1 mol Si3N2).
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Set-up two reactions (for both reactants) - 3 parts.

Reaction 1 - for silicon (Si):
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product.
  3. Moles of product to mass of product (use molar mass of product).
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Set-up two reactions (for both reactants) - 3 parts.

Reaction 1 - for silicon (Si):

Reaction 2 - for nitrogen (N2):
  1. Mass of reactant to moles of reactant.

Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Set-up two reactions (for both reactants) - 3 parts.

Reaction 1 - for silicon (Si):

Reaction 2 - for nitrogen (N2):
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product (1 mol N2 → 1 mol Si3N2).
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Set-up two reactions (for both reactants) - 3 parts.

Reaction 1 - for silicon (Si):

Reaction 2 - for nitrogen (N2):
  1. Mass of reactant to moles of reactant.
  2. Moles of reactant to moles of product (1 mol N2 → 1 mol Si3N2).
  3. Moles of product to mass of product (use the molar mass of Si3N2).
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Set-up two reactions (for both reactants) - 3 parts.

Reaction 1 - for silicon (Si):

Reaction 2 - for nitrogen (N2):
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Set-up two reactions (for both reactants) - 3 parts.

Reaction 1 - for silicon (Si):
Reaction 2 - for nitrogen (N2):
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Reaction 1 - for silicon (Si):
Reaction 2 - for nitrogen (N2):

Step 3 - Limiting Reagent
  • Compare the theoretical yields.
  • The lowest one is the limiting reagent.
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Reaction 1 - for silicon (Si):
Reaction 2 - for nitrogen (N2):

Step 3 - Limiting Reagent
  • Compare the theoretical yields.
  • The lowest one is the limiting reagent.
Si → 2.70 g Si3N2
N2 → 6.01 g Si3N2
  • Si will be consumed first, since it will produce the least amount of product.
Si + N2 → Si3N2
  • 2.00 g Si was reacted with 1.50 g N2 to form 1.52 g Si3N2.
Step 1 - Balance the Equation.

Step 2 - Theoretical Yield.
  • Molar masses


Reaction 1 - for silicon (Si):
Reaction 2 - for nitrogen (N2):

Step 3 - Limiting Reagent
  • Compare the theoretical yields.
  • The lowest one is the limiting reagent.
Si → 2.70 g Si3N2
N2 → 6.01 g Si3N2
  • Si will be consumed first, since it will produce the least amount of product.
Step 4 - Percent Yield

The following reaction was performed:

C3H8 + O2 → CO2 + H2O
  • 5.0 g C3H8 is reacted with excess O2
Step 1 - Balance the equation (if you need "1" of anything, place an _ in the blank - "shift" + "hyphen").

_______ C3H8 + _______ O2 → _______ CO2 + _______ H2O

Step 2 - Calculate the theoretical yield of H2O.
  • Theoretical yield _______ g
Step 3 - Calculate the percent yield if 7.9 g of H2O was actually produced.
  • Percent yield _______ %

The following reaction was performed:

Sn3(PO4)4 + Na2CO3 → Sn(CO3)2 + Na3PO4
  • 36 grams Sn3(PO4)4 is reacted with an excess of Na2CO3
Step 1 - Balance the equation (if you need "1" of anything, place an _ in the blank - "shift" + "hyphen").

_______ Sn3(PO4)4 + _______ Na2CO3 → _______ Sn(CO3)2 + _______ Na3PO4

Step 2 - Calculate the theoretical yield of Sn(CO3)2
  • Theoretical Yield of Sn(CO3)2 _______ g
Step 3 - Percent yield, if 29.8 g Sn(CO3)2 are actually produced.
  • Percent yield _______ %

The following reaction was performed:

H2 + N2 → NH3
  • 5.0 grams N2 and 5.0 grams H2 were reacted to form 3.25 g of ammonia.
Step 1 - Balance the equation (if you need "1" of an anything, place an _ in the blank - "shift" + "hyphen").

_______ H2 + _______ N2 → _______ NH3

Step 2 - Determine the mass of the product produced by each reactant.
  • For H2 _______ g
  • For N2 _______ g
Step 3 - Compare the amounts calculated in step 2 to identify the limiting reagent.
  • Limiting Reagent _______
Step 4 - The lowest quantity calculated in step 2 will be the theoretical yield.
  • Theoretical Yield _______ g
Step 5 - Calculate the percent yield if the actual product produced was measured to be 3.25g.
  • Percent yield _______%