Percentage Yield
Percentage Yield
Volume 2
Worksheet 12
Percent Yield in Chemical Reactions
1
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Rev 10/26/2020
1. Calculate the percent yield of a reaction that had a theoretical yield of 3.76 g and an actual
yield of 1.45 g.
2. If 2.5 g of K3PO4 was produced in the reaction below and the percent yield was 45%, what
was the theoretical yield?
3 KOH + H3PO4 à K3PO4 + 3 H2O
3. If the actual yield of a reaction was 0.567 g, and the theoretical yield was 0.750 g, what was
the percent yield of this reaction?
2
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Rev 10/26/2020
4. If the percent yield of a reaction was 65.0% and its theoretical yield was 0.652 g of CO2 what
was the actual yield?
5. Calculate the theoretical yield of a reaction that produced 4.5 g of a product with a 38%
yield.
6. Calculate the percent yield of a reaction that produced 5.78 g NH4, if its theoretical yield
was 6.78 g.
3
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Rev 10/26/2020
7. Calculate the percent yield of a reaction that produced 0.350 mol HCl if the theoretical yield
was 15.36 g.
8. Calculate the percent yield of H2 of a reaction that produced 0.050 moles H2 from 4.5 g HCl
and excess Al in the reaction below:
2 Al + 6 HCl à 2 AlCl3 + 3 H2
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Rev 10/26/2020
9. Use the following equation to answer the questions that follow.
Fe + H2SO4 à Fe2(SO4)3 + H2
a. Balance the equation.
b. Calculate the theoretical yield of Fe2(SO4)3 if 1.4 g Fe and 3.4 g H2SO4 are reacted.
5
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Rev 10/26/2020
c. If the percent yield of Fe2(SO4)3 in the reaction was 67%, what was the actual yield?
6
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Rev 10/26/2020
Answer Key
1. Calculate the percent yield of a reaction that had a theoretical yield of 3.76 g and an actual
yield of 1.45 g.
0.23 4
Percent yield = 5.67 4 x 100
2. If 2.5 g of K3PO4 was produced in the reaction below and the percent yield was 45%, what
was the theoretical yield?
3 KOH + H3PO4 à K3PO4 + 3 H2O
!"#$%& ()*&+
Percent yield = ,-*./*#)"%& ()*&+ x 100
We just need to substitute what we know (percent yield and actual yield) into the
equation and solve for theoretical yield. Convert percent yield to a decimal so that we
can work with it.
8.3 4
45% = ,-*./*#)"%& ()*&+ x 100
8.3 4
0.45 = ,-*./*#)"%& ()*&+
7
© MathTutorDVD.com
Rev 10/26/2020
3. If the actual yield of a reaction was 0.567 g, and the theoretical yield was 0.750 g, what was
the percent yield of this reaction?
!"#$%& ()*&+
Percent yield = x 100
,-*./*#)"%& ()*&+
9.376 4
Percent yield = 9.639 4 x 100
4. If the percent yield of a reaction was 65.0% and its theoretical yield was 0.652 g of CO2 what
was the actual yield?
!"#$%& ()*&+
Percent yield = ,-*./*#)"%& ()*&+ x 100
!"#$%& ()*&+
65% = 9.738 4
x 100
Actual yield = (0.65)(0.652 g)
Actual yield = 0.424 g
5. Calculate the theoretical yield of a reaction that produced 4.5 g of a product with a 38%
yield.
!"#$%& ()*&+
Percent yield = ,-*./*#)"%& ()*&+ x 100
2.3 4
38% = ,-*./*#)"%& ()*&+ x 100
2.3 4
Theoretical yield = 9.5:
Theoretical yield = 12 g
Correct answer: 12 g
8
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Rev 10/26/2020
6. Calculate the percent yield of a reaction that produced 5.78 g NH4, if its theoretical yield
was 6.78 g.
5.78 g NH4 is the actual yield. Any time you see “yield” or “produced,” assume that is
the actual yield.
3.6: 4
Percent yield = 7.6: 4 x 100
7. Calculate the percent yield of a reaction that produced 0.350 mol HCl if the theoretical yield
was 15.36 g.
To answer this, we need to convert the mol HCl into grams of HCl so that the units are
the same and cancel in the percent yield calculation.
0.350 mol HCl 36.46 g HCl = 12.8 g HCl
1 mol HCl
08.: 4
Percent yield = 03.57 4 x 100
8. Calculate the percent yield of H2 of a reaction that produced 0.050 moles H2 from 4.5 g HCl
and excess Al in the reaction below:
2 Al + 6 HCl à 2 AlCl3 + 3 H2
First, we need to calculate our theoretical yield. Since Al is in excess, HCl is the limiting
reagent. Since the actual yield of H2 is given in moles in the problem, we can save
ourselves time and just convert 4.5 g HCl into moles H2.
4.5 g HCl 1 mol HCl 3 mol H2 = 0.062 mol H2
36.46 g HCl 6 mol HCl
9
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Rev 10/26/2020
9. Use the following equation to answer the questions that follow.
Fe + H2SO4 à Fe2(SO4)3 + H2
a. Balance the equation.
Fe + H2SO4 à Fe2(SO4)3 + H2
Reactants Products
Fe 1 Fe 2
H 2 H 2
SO4 1 SO4 3
Step 1:
2 Fe + H2SO4 à Fe2(SO4)3 + H2
Reactants Products
Fe 2 Fe 2
H 2 H 2
SO4 1 SO4 3
Step 2:
2 Fe + 3 H2SO4 à Fe2(SO4)3 + H2
Reactants Products
Fe 2 Fe 2
H 6 H 2
SO4 3 SO4 3
Step 3:
2 Fe + 3 H2SO4 à Fe2(SO4)3 + 3 H2
Reactants Products
Fe 2 Fe 2
H 6 H 6
SO4 3 SO4 3
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Rev 10/26/2020
b. Calculate the theoretical yield of Fe2(SO4)3 if 1.4 g Fe and 3.4 g H2SO4 are reacted.
3.4 g H2SO4 1 mol H2SO4 1 mol Fe2(SO4)3 399.88 g Fe2(SO4)3 = 4.6 g Fe2(SO4)3
98.079 g H2SO4 3 mol H2SO4 1 mol Fe2(SO4)3
c. If the percent yield of Fe2(SO4)3 in the reaction was 67%, what was the actual yield?
!"#$%& =)*&+
67% = 2.78 4
x 100
(0.67)(4.6 g) = 3.1 g
11
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Rev 10/26/2020
Theoretical Yield & Percent Yield
1. Given the following equation:
a) If you start with 389.4 g of Al2(SO3)3 and you isolate 212.4 g of Na2SO3, what is your percent yield for this reaction?
a) If you start with 50.3 g of Al(OH)3 and you isolate 39.5 g of AlCl3, what is the percent yield?
a) If 98.0 g of H2SO4 is reacted with excess Ba(OH)2, determine the percent yield of BaSO4 if you isolate 213.7 g of
BaSO4.
a) If you start with 82.4 g of CaCl2 and you isolate 82.4 g of Ca3(PO4)2, what is your percent yield for this reaction?
a) If you start with 50.3 g of Cr(OH)3 and you isolate 39.5 g of CrI3, what is the percent yield?
Limiting Reagent, then % Yeild calculations
a) If a reaction vessel contains 10.0 g of sodium chloride and 12.0 g of sulfuric acid, what is the
limiting reactant?
b) What is the theoretical yield of hydrochloric acid?
c) What is the percent yield if 4.45g of HCl is produced?
a) When 2.00 g of C7H6O3 is heated with 4.00 g of C4H6O3, what is the limiting reagent?
b) What is the theoretical yield (in grams) of aspirin, C9H8O4
c) If the actual yield of aspirin is 2.21g, what is the percentage yield?
a) If 15 grams of copper (II) chloride react with 20 grams of sodium nitrate, What is the limiting
reagent?
b) How many grams of sodium chloride are formed?
c) If 11.3 grams of sodium chloride are formed, what is the percent yield of this reaction?
Chapter 12 Worksheet 2 (ws12.2)
Concentration Units
molarity (M)
molality (m)
Compare to molarity and notice differences in the denominator. (L vs kg; solution vs. solvent)
Molality is independent of temperature so it is used for calculating boiling point elevation
and freezing point depression.
Used for very dilute solutions (for example pollutants in drinking water). Notice that mass percent could
also be called parts per hundred.
1
When an ionic compound dissolves in water, it dissociates into its component ions. So how do we
specify the concentration of such a solution? Is it the concentration of the cation? The concentration of
the anion? The sum of these two concentrations? IT IS NONE OF THESE. Unless stated otherwise,
the concentration of a solution of an ionic compound is the concentration of the original undissociated
solute.
c. In this chapter you will learn about properties of solutions that depend on the total
concentration of solute particles. What is the total molarity of particles in this solution (the
sum of the two concentrations above)?
2. What is the molarity of an ammonium carbonate solution if the concentration of ammonium ions
is 2 M? What is the concentration of carbonate ions and what is the total concentration of solute
particles?
3. A solution was made by dissolving 800.0 g of NaOH in 2.00 L of water. Calculate the molality,
2
mole fraction, mass % and ppm of NaOH in this solution. (You will need the density of water.)
a. Calculate the molality of NaOH. (Assume the density of the solution is the same as the density of
pure water.)
3
b. Notice that the molality is a little bigger than molarity. Why are these two numbers similar and
why is molality always greater than molarity? Why can’t one convert molality to molarity
without additional information?
5. What is the molarity of pure water at 4oC? (Hint: Use the density and molar mass of water.)
What happens to the concentration of water when a solute is dissolved in it?
4
Worksheet #14
Limiting Reagents
1. Potassium superoxide, KO2, is used in rebreathing masks to generate oxygen according to the
reaction below. If the mask contains 0.150 mol KO2 and 0.100 mol water, how many moles
of oxygen can be produced? What is the limiting reagent?
4KO2(s) + 2H2O(ℓ) → 4KOH(s) + 3O2(g)
2. Suppose 13.7 g of C2H2 reacts with 18.5 g O2 according to the reaction below. What
is the mass of CO2 produced? What is the limiting reagent?
2C2H2(g) + 5O2(g) → 4CO2(g) + 2H2O(ℓ)
3. Nitrogen gas can react with hydrogen gas to form gaseous ammonia. If 4.7 g of nitrogen
reacts with 9.8 g of hydrogen, how much ammonia is formed? What is the limiting reagent?
4. One of the most common acids found in acid rain is sulfuric acid. Sulfuric acid is formed
when gaseous sulfur dioxide reacts with ozone (O3) in the atmosphere to form gaseous sulfur
trioxide and oxygen. The sulfur trioxide forms sulfuric acid when it comes in contact with
water. If 5.13 g of sulfur dioxide reacts with 6.18 g of ozone, how much sulfur trioxide is
formed? What is the limiting reagent?
5. Another way that sulfuric acid is formed in the atmosphere is when sulfur dioxide reacts with
oxygen in a reaction catalyzed by dust in the atmosphere to form sulfur trioxide. If 7.99 g of
sulfur dioxide reacts with 2.18 g of oxygen, how much sulfur trioxide can form? What is the
limiting reagent?
7. Heating together the solids NH4Cl and Ca(OH)2 can generate ammonia. Aqueous CaCl2 and
liquid H2O are also formed. If a mixture of 33.0 g each of NH4Cl and Ca(OH)2 is heated,
how many grams of NH3 will form? What is the limiting reagent? Which reactant remains in
excess, and in what mass?
8. Nitrogen monoxide is formed primarily in car engines, and it can react with oxygen to form
gaseous nitrogen dioxide. Nitrogen dioxide forms nitric acid when it comes in contact with
water, another component of acid rain. If 3.13 g of nitrogen monoxide reacts with 4.16 g of
oxygen, how much nitrogen dioxide will form? What is the limiting reagent? Which reactant
remains in excess, and in what mass?
Percent Yield
9. Liquid nitroglycerine (C3H5(NO3)3) is a powerful explosive. When it detonates, it produces a
gaseous mixture of nitrogen, water, carbon dioxide, and oxygen. What is the theoretical
yield of nitrogen 5.55 g of nitroglycerine explodes? If the actual amount of nitrogen obtained
is 0.991 g, what is the percent yield of nitrogen?
Worksheet 14 1
10. Solid copper(I) oxide reacts with oxygen to form copper(II) oxide. If 4.18 g of copper(I)
oxide reacts with 5.77 g of oxygen, what is the theoretical yield of copper(II) oxide? If the
actual amount of copper(II) oxide obtained is 4.28 g, what is the percent yield?
11. What is the percent yield of a reaction in which 41.5 g of solid tungsten(VI) oxide reacts with
excess hydrogen to produce metallic tungsten and 9.50 mL of water? The density of water is
1.00 g/mL
12. What is the percent yield of a reaction in which 201 g of solid phosphorous trichloride reacts
with excess water to form 128 g of aqueous hydrogen chloride and aqueous phosphorous
acid, H3PO3?
13. When 18.5 g of gaseous methane and 43.0 g of chlorine gas undergo a reaction that has an
80.0% yield, what mass of liquid chloromethane, CH3Cl, forms? Gaseous hydrogen chloride
also forms.
14. When 56.6 g of calcium and 30.5 g of nitrogen undergo a reaction that has a 93.0% yield,
what mass of solid calcium nitride forms?
15. How many moles of MnCl can be produced by the reaction of 5.0 mol KMnO4, 3.0 mol
H2C2O4, and 22 mol HCl?
2KMnO4 + 5H2C2O4 + 6HCl = 2MnCl2 + 10 CO2 + 2KCl + 8H2O
16. How many grams of Fe are produced by reacting 2.00 kg Al with 300 g Fe2O3?
Fe2O3 + 2Al = Al2O3 + 2Fe
17. How many grams of which reactant are left over in Problem 16?
18. Gaseous H2S dissociates into H2 and S gases at very high temperatures: H2S = H2 + S.
When 0.620 g of H2S was held at 2000º C, it was found that 13 mg of H2 were produced.
What is the percent yield?
19. The first step in the Ostwald process for manufacturing nitric acid is the reaction of
ammonia, NH3, with oxygen, O2, to produce nitric oxide, NO, and water. The reaction
consumes 595 g of ammonia. How many grams of water are produced? Write the
balanced equation.
20. Sodium reacts violently with water to produce hydrogen and sodium hydroxide. How many
grams of hydrogen are produced by the reaction of 400 mg of sodium with water?
Worksheet 14 2
Answers to Worksheet #14
Limiting Reagents
A Limiting Reagent is the reactant that is completely used up in a reaction. This reagent is the
one that determines the amount of product formed. Limiting reagent calculations are performed
in the same manner as the stoichiometric equations on Worksheet #11. However, with a limiting
reagent, you must calculate the amount of product obtained from each reactant (that means doing
math/stoichiometry at least twice!). Note that the limiting reagent is not always the lowest
number of grams, so you absolutely must do the math twice! The actual amount of product
obtained will be the lowest answer from stoichiometry (do not add, average, multiply, etc. – just
take the lowest one). Remember to balance the equations! This also might be a good time to
review stoichiometry if you are still struggling.
Worksheet 14 3
4. _SO2(g) + _O3(g) → _SO3(g) + _O2(g)
1molSO2 1molSO3 80.07 g
mass ( g ) SO3 = 5.13 gSO2 = 6.41gSO3
64.07 g 1molSO2 1molSO3
1molO3 1molSO3 80.07 g
mass ( g ) SO3 = 6.18 gO3 = 10.3 gSO3
48.00 g 1molO3 1molSO3
The amount of SO3 obtained is 6.41 g, and SO2 is the limiting reagent.
5. 2SO2(g) + _O2(g) → 2SO3(g)
1molSO2 2molSO3 80.07 g
mass ( g ) SO3 = 7.99 gSO2 = 9.99 gSO3
64.07 g 2molSO2 1molSO3
1molO2 2molSO3 80.07 g
mass ( g ) SO3 = 2.18 gO3 = 10.9 gSO3
32.00 g 1molO2 1molSO3
The amount of SO3 obtained is 9.99 g, and SO2 is the limiting reagent.
6. The excess reagent is O2. First, we must determine how much of it was used in the
reaction:
1molSO3 1molO2 32.00 g
mass ( g )O2 = 9.99 gSO3 = 2.00 g
80.07 g 2molSO3 1molO2
Now, subtract the amount used from the amount of oxygen we started with to get the amount
left over: 2.18 g O2 – 2.00 g O2 = 0.18 g O2 left over.
So, we used 22.8 g Ca(OH)2 in the reaction. The amount of Ca(OH)2 left over is how much
we started with minus how much we used:
mass ( g )Ca (OH ) 2 = 33.0 g − 22.8 g = 10.2 gCa (OH ) 2
So, we have 10.2 g Ca(OH)2 left over at the end of the reaction.
Worksheet 14 4
8. 2NO(g) + _O2(g) → 2NO2(g)
1molNO 2molNO2 46.01g
mass( g ) NO2 = 3.13 gNO = 4.80 gNO2
30.01g 2molNO 1molNO2
1molO2 2molNO2 46.01g
mass ( g ) NO2 = 4.16 gO2 = 12.0 gNO2
32.00 g 1molO2 1molNO2
The amount of NO2 obtained is 4.80 g, and the limiting reagent is NO. The reagent in
excess is O2. The amount of O2 used is:
1molNO2 1molO2 32.00 g
mass ( g )O2 = 4.80 gNO2 = 1.67 gO2
46.01g 2molNO2 1molO2
The amount of O2 left over is:
mass ( g )O2 = 4.16 g − 1.67 g = 2.49 gO2
Percent Yield
No reaction, when performed in the lab, gives as much product as stoichiometry says it should.
When reporting yields in literature, in addition to stating a gram amount of product obtained, the
percent yield is also reported. The percent yield is the actual yield of a reaction expressed as a
percent of the theoretical yield. In order to do these equations, you must first do stoichiometry to
determine the amount of product you should obtain.
⎛ actual ⎞
% yield = ⎜ ⎟100 Where actual means the yield obtained in the lab
⎝ theoretical ⎠
and theoretical means the amount that stoichiometry said you should have obtained.
Worksheet 14 5
1molWO3 3molH 2O 18.02 g 1mL
vol (mL ) H 2O = 41.5 gWO3 = 9.67mLH 2O
231.9 g 1molWO3 1molH 2O 1.00 g
⎛ 9.50mL ⎞
% yield = ⎜ ⎟100 = 98.2%
⎝ 9.67 mL ⎠
Worksheet 14 6
22 mol HCl
= 3.7
6
2 mol MnCl2 ⎞
Then solve ? mol MnCl2 = 3.0 mol H 2 C2 O 4 ⋅ ⎟
5 mol H 2 C2 O 4 ⎟
⎠
16. 210 g Fe (First determine which is limiting:
103 g Al mol Al 74.0 mol Al
mol Al = 2.00 kg Al ⋅ ⋅ = 74.0 mol Al; = 37.0
kg Al 27.0 g Al 2
mol Fe2 O3 1.89 mol Fe 2 O3
mol Fe 2 O3 = 3.00 g Fe 2O3 ⋅ ⋅ (lim iting)
159.6 g Fe 2 O3 1
mol Fe 2 O3
Then solve ? g Fe = 300 g Fe 2 O3 ⋅
159.6 g Fe 2 O3
2 mol Fe 55.8 g Fe ⎞
⋅ ⋅ ⎟
mol Fe 2O3 mol Fe ⎟⎠
17. 1.90 kg Al (Since you found in Problem 16 that Fe2O3 is limiting and is therefore completely
used up, all you need do is find out how much Al is used by the Fe2O3 and subtract this
amount from the amount of Al you started with.
mol Fe2 O3 2 mol Al 27.0 g Al
? g Al = 300 g Fe2 O3 ⋅ ⋅ ⋅
158.6 g Fe 2 O3 mol Fe2 O3 mol Al
= 102 g Al are used.
Since 2000 g Al were present, then 1898 g Al must remain. Rounded off to the correct
number of significant figures, this is 1.90 kg.)
mol H 2S mol H 2 2.02 g H 2
18. 35.4% ( ? g H 2 = 0.620 g H 2S ⋅ ⋅ ⋅
34.1 g H 2S mol H 2S mol H 2
= 0.0367 g H2 theoretical
10−3 g H 2
13 mg H 2 ⋅
mg H 2
Percent yield = ⋅ 100 = 35.4% yield)
0.0367 g H 2
Worksheet 14 7
Chapter 12 Worksheet 2 (ws12.2)
Concentration Units
molarity (M)
molality (m)
Compare to molarity and notice differences in the denominator. (L vs kg; solution vs. solvent)
Molality is independent of temperature so it is used for calculating boiling point elevation
and freezing point depression.
Used for very dilute solutions (for example pollutants in drinking water). Notice that mass percent could
also be called parts per hundred.
1
When an ionic compound dissolves in water, it dissociates into its component ions. So how do we
specify the concentration of such a solution? Is it the concentration of the cation? The concentration of
the anion? The sum of these two concentrations? IT IS NONE OF THESE. Unless stated otherwise,
the concentration of a solution of an ionic compound is the concentration of the original undissociated
solute.
c. In this chapter you will learn about properties of solutions that depend on the total
concentration of solute particles. What is the total molarity of particles in this solution (the
sum of the two concentrations above)?
2. What is the molarity of an ammonium carbonate solution if the concentration of ammonium ions
is 2 M? What is the concentration of carbonate ions and what is the total concentration of solute
particles?
3. A solution was made by dissolving 800.0 g of NaOH in 2.00 L of water. Calculate the molality,
2
mole fraction, mass % and ppm of NaOH in this solution. (You will need the density of water.)
a. Calculate the molality of NaOH. (Assume the density of the solution is the same as the density of
pure water.)
3
b. Notice that the molality is a little bigger than molarity. Why are these two numbers similar and
why is molality always greater than molarity? Why can’t one convert molality to molarity
without additional information?
5. What is the molarity of pure water at 4oC? (Hint: Use the density and molar mass of water.)
What happens to the concentration of water when a solute is dissolved in it?
4
Chemistry 1
Volume 2
Worksheet 13
Molar Concentration of Solutions – Part 1
1
© MathTutorDVD.com
1. Which of the following is the correct mathematical representation of molarity?
!"#$% %"#'($
a. Molarity = #)($*% "+ %"#'()",
-*.!% %"#'($
b. Molarity = #)($*% "+ %"#'()",
!"#$% %"#'($
c. Molarity = -*.!% "+ %"#'()",
!"#$% %"#'($
d. Molarity = !"#$% "+ %"#'()",
3. Triethylamine (1.5 mL) is added to 20 mL of chloroform. Which is the solute and which is the
solvent in this solution?
2
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4. LiBr (0.63 mol) was added to exactly 1 L of water. What is the molarity of this solution?
5. Calculate the molarity of a solution that has 0.75 mol dissolved in 0.87 L of water.
3
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7. Which solution is more concentrated: A solution made of 4.5 mol NaOH in 150 mL water or
a solution made of 10.0 mol NaOH in 500 mL water?
8. What volume of water was used to create a 4.5 M solution that contains 3.4 mol LiBr?
9. If 4.0 g of Ba(OH)2 were dissolved in 4.5 L of water, what is the molarity of the final
solution?
4
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10. What is the molarity of a solution that has 2.1 g SrCl2 dissolved in exactly 500 mL water?
5
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Answer Key
1. Which of the following is the correct mathematical representation of molarity?
!"#$% %"#'($
a. Molarity = #)($*% "+ %"#'()",
-*.!% %"#'($
b. Molarity = #)($*% "+ %"#'()",
!"#$% %"#'($
c. Molarity = -*.!% "+ %"#'()",
!"#$% %"#'($
d. Molarity = !"#$% "+ %"#'()",
𝒎𝒐𝒍𝒆𝒔 𝒔𝒐𝒍𝒖𝒕𝒆
Correct answer: a. Molarity = 𝒍𝒊𝒕𝒆𝒓𝒔 𝒐𝒇 𝒔𝒐𝒍𝒖𝒕𝒊𝒐𝒏
As you can see, moles are the units in the top of the equation and liters (L) are the
units in the bottom. Therefore, molarity has units of mol/L, but it is typically written
as M.
Correct answer: b. mol/L
6
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3. Triethylamine (1.5 mL) is added to 20 mL of chloroform. Which is the solute and which is the
solvent in this solution?
The solute is the compound that is present in the smaller amount, while the solvent is
present in the larger amount. Thus, triethylamine is the solute and chloroform is the
solvent.
Correct answer: Solute: triethylamine; solvent: chloroform
4. LiBr (0.63 mol) was added to exactly 1 L of water. What is the molarity of this solution?
!"#$% %"#'($
Molarity = #)($*% "+ %"#'()",
:.<= !"#
Molarity = > ?
Molarity = 0.63 M
Correct answer: 0.63 M
5. Calculate the molarity of a solution that has 0.75 mol dissolved in 0.87 L of water.
!"#$% %"#'($
Molarity = #)($*% "+ %"#'()",
:.@A !"#
Molarity = :.B@ ?
Molarity = 0.86 M
Correct answer: 0.86 M
Molarity = 0.11 M
Correct answer: 0.11 M
7
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b. 1.4 mol LiCl in 3.5 L H2O
>.C !"#
Molarity = =.A ?
Molarity = 0.40 M
Correct answer: 0.40 M
Molarity = 0.033 M
7. Which solution is more concentrated? A solution made of 4.5 mol NaOH in 150 mL water or
a solution made of 10.0 mol NaOH in 500 mL water?
Solution 1:
Convert 150 mL to L
150 mL 1L = 0.15 L
1,000 mL
C.A !"#
Molarity = :.>A ?
= 30 M
Solution 2:
500 mL 1L = 0.5 L
1,000 mL
>:.: !"#
Molarity = :.A ?
= 20 M
8
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8. What volume of water was used to create a 4.5 M solution that used 3.4 mol LiBr?
=.C !"#
4.5 M = ?)($*% "+ %"#'()",
9. If 4.0 g of Ba(OH)2 were dissolved in 4.5 L of water, what is the molarity of the final
solution?
:.:D= !"#
Molarity = C.A ?
= 0.0052 M
10. What is the molarity of a solution that has 2.1 g SrCl2 dissolved in exactly 500 mL water?
Step 1:
Convert the grams of SrCl2 to moles using the molar mass of SrCl2 (158.52 g/mol).
2.1 g SrCl2 1 mol SrCl2 = 0.013 mol SrCl2
158.52 g SrCl2
Step 2:
Then, convert 500 mL to L:
500 mL 1L = 0.5 L
1,000 mL
Step 3:
Use the molarity formula to calculate the molarity
:.:>= !"#
Molarity = :.A ?
= 0.026 M
9
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Chemistry 1
Volume 2
Worksheet 14
Molar Concentration of Solutions – Part 2
1
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1. Calculate the molarity of the following solutions.
a. 0.67 mol Fe(NO3)2 in 3.5 L H2O
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4. How many mL of solvent were used to create a 0.45 M solution that contains 3.4 moles of
sugar?
5. How many moles of H2SO4 are needed to prepare 100.0 mL of a 2.5 M solution?
6. A chemist has 40 mL of a 0.5 M solution of NaOH. How many grams of NaOH are in this
solution?
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7. How many liters of water are needed to create a 4.5 M solution from 3.5 g NaCl?
8. A chemist needs to create 250.0 mL of a 5.00 M solution of NaHCO3. How many grams of
NaHCO3 do they need?
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9. A solution of LiNO3 is 45% by mass and has a density of 1.05 g/mL. What is the molarity of
this solution?
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10. A solution of 4.5 g triethylamine (TEA) and 25.0 mL benzene was created during a reaction.
The volume of the solution increased after TEA was added. If the density of TEA is 0.726
g/mL and its molar mass is 101.19 g/mol, what is the molarity of the final solution?
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Answer Key
1. Calculate the molarity of the following solutions.
a. 0.67 mol Fe(NO3)2 in 3.5 L H2O
!"#$% %"#'($
Molarity = )*($+% %"#'(*",
-./0 !"#
Molarity = 1.2 )
Convert 75 mL to L.
75 mL 1L = 0.075 L
1,000 mL
2./ !"#
Molarity = -.-02 )
Molarity = 75 M
Correct answer: 75 M
Since we’re not given number of moles, we need to convert the grams of NaCl to moles
using its molar mass (58.44 g/mol).
!"#$% %"#'($
Molarity = )*($+% %"#'(*",
-.33 !"#
Molarity = 1.4 )
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3. Calculate the molarity of a solution of 4.5 g KI in 50.0 mL H2O
50.0 mL 1L = 0.0500 L
1,000 mL
-.-50 !"#
Molarity = -.-2-- )
4. How many mL of solvent were used to create a 0.45 M solution that contains 3.4 moles of
sugar?
!"#$% %"#'($
Molarity = )*($+% %"#'(*",
1.4 !"#
0.45 M = )*($+% %"#'*",
Then, convert the liters of solution to mL, since that is what the question asks for.
7.6 L 1,000 mL = 7,600 mL
1L
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5. How many moles of H2SO4 are needed to prepare 100.0 mL of a 2.5 M solution?
!"#$% %"#'($
Molarity = )*($+% %"#'(*",
100.0 mL 1L = 0.1000 L
1,000 mL
!"#$% %"#'($
2.5 M = -.3--- )
6. A chemist has 40 mL of a 0.5 M solution of NaOH. How many grams of NaOH are in this
solution?
Convert 40 mL to L first.
40 mL 1L = 0.04 L
1,000 mL
!"#$% %"#'($
Molarity = )*($+% %"#'(*",
!"#$% %"#'($
0.5 M = -.-4 )
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7. How many liters of water are needed to create a 4.5 M solution from 3.5 g NaCl?
First, convert the g NaCl to moles using its molar mass (58.44 g/mol).
-.-/- !"#
4.5 M = )*($+% %"#'(*",
8. A chemist needs to create 250.0 mL of a 5.00 M solution of NaHCO3. How many grams of
NaHCO3 do they need?
Step 1:
250.0 mL 1L = 0.2500 L
1,000 mL
Step 2:
Then, use the molarity formula to convert the number of moles NaHCO3 present in this
volume of solution.
!"#$% 6789:!
5.00 M = -.52-- )
Step 3:
Use the moles of solute and the molar mass of NaHCO3 (84.007 g/mol) to calculate the
grams of NaHCO3
1.25 mol NaHCO3 84.007 g NaHCO3 = 105 g NaHCO3
1 mol NaHCO3
We first need to calculate the number of moles of LiNO3 in this solution. We do that by
following these steps, which are combined in the calculation below.
1) Convert the assumed 1 L of solution into mL since density has the unit of mL.
2) Then, multiply this by the density of the solution to obtain g of solution.
3) Multiply this by the mass percent of the solution (45 g LiNO3/100 g solution) to get g
of LiNO3.
4) Finally, convert the grams of LiNO3 into moles LiNO3 using its molar mass from the
periodic table.
Now that we have moles, we just divide this number of moles by the assumed 1 L of
solution to get the molarity of the solution.
!"#$% %"#'($
Molarity = ;"#'!$ "< %"#'(*",
/.=2 !"#
Molarity = 3 )
Molarity = 6.85 M
Correct answer: 6.85 M
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10. A solution of 4.5 g triethylamine (TEA) and 25.0 mL benzene was created during a reaction.
The volume of the solution increased after TEA was added. If the density of TEA is 0.726
g/mL and its molar mass is 101.19 g/mol, what is the molarity of the final solution?
Remember, molarity is based on the total volume of solution. So, since the problem
states that the volume of the solution increased after addition of triethylamine, we need
to calculate the volume of triethylamine that was added. Use the density to calculate
this.
Step 1:
4.5 g TEA 1 mL TEA = 6.2 mL TEA
0.726 g TEA
Step 2:
Next, determine the volume of the solution. To do this, add 6.2 mL TEA to 25.0 mL
benzene.
Step 3:
Finally, we need to calculate how many moles of triethylamine we have. Use the molar
mass provided (101.19 g/mol).
Step 4:
Use the mol TEA and total volume of solution to calculate molarity.
Molarity = 1.4 M
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Name: _________________________________ #: ____ Class: ____ Date: ________________
Concentrations of Solutions Practice
Calculate the concentration in each of the following solutions:
1. 10 moles of potassium hydroxide in 5.16 L of solution
7. How many grams of NaOH must be used to make 250 mL of a 1.842 M solution of NaOH?
a. Start with what you know, the final volume and concentration of the solution. Arrange these
factors to calculate the moles of NaOH needed.
8. Calculate the concentration of a solution of CO2 in water, which contains 20.25 g of CO2 per 675 mL
of solution.
a. Start with what you know, change grams of CO2 to moles of CO2.
b. With the moles value found in part a, use the concentration formula to calculate the
concentration of CO2.
9. The initial concentration of the solution H2SO4 is 18 M. What would the volume of the initial stock
solution (V1) need to be if the concentration was being changed to 0.4 M of a 1 L solution?
10. The initial concentration of the solution HCl is 12 M. What would the volume of the initial stock
solution (V1) need to be if the concentration was being changed to 1.1 M of a 500-mL solution?
11. The initial concentration of the solution HNO3 is 16 M. What would the volume of the initial stock
solution (V1) need to be if the concentration was being changed to 5.5 M of a 325-mL solution?
Solution Concentrations Worksheet (Section 12.3)
Measuring Concentration: There are several different ways to measure and express the concentration of a
solution. Molarity (Section 12.3) the term we learned earlier, refers to the concentration of a solution
expressed in moles of solute per liter of solution. We also use several other units, including the following:
2.
1g 1 mol glucose
225 mg x
1000 mg 180.158 g
5. = 0.317 m
0.789 g 1 kg
5.00 mL x
mL 1000 g
1 mL
10.00 g x
0.789 g
x 100% = 0.818%
9. 1.55 L x 1000 mL
L
2.4 mg F - 1g 1 mol F - -4 -
! 12. x x = 1.3 x 10 M F
L 1000 mg 18.9984 g
1 bent <120°
3
<120o
0 tetrahedral 109.5°
109.5o
<109.5o
4
2 bent <109.5°(~105°)
<109.5o
0 trigonal 90o
90°, 120°
bipyramidal
120o
2 T-structure <90°
<90o
5
3 linear 180°
180o
90o
90o
<90o
K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr
0.8 1.0 1.3 1.5 1.6 1.6 1.5 1.8 1.9 1.8 1.9 1.6 1.6 1.8 2.0 2.4 2.8 N/A*
Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe
0.8 1.0 1.2 1.4 1.6 1.8 1.9 2.2 2.2 2.2 1.9 1.7 1.7 1.8 1.9 2.1 2.5 N/A*
Cs Ba Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn
0.7 0.9 1.3 1.5 1.7 1.9 2.2 2.2 2.2 2.4 1.9 1.8 1.9 1.9 2.0 2.2 N/A
Fr Ra Rf Db Sg Bh Hs
0.7 0.9
Lewis Structures, Shapes, and Polarity W 319
Draw Lewis structures, name shapes and indicate polar or non-polar for the
following molecules:
a. CH4
b. NCl3
c. CCl2F2
d. CF2H2
e. CH2O
f. CHN
g. PI3
h. N2O
i. SO2
j. CS2
k. CO
l. H2O
m. COF2
n. N2
o. O2
p. H2
q. Cl2
r. HF
s. O3
t. NI3
k. CO linear, polar
n. N2 linear, non-polar
o. O2 linear, non-polar
p. H2 linear, non-polar
r. HF linear, polar
s. O3 bent, non-polar
:
H :
Cl
:
H
:
: Cl N Cl :
:
:
:F Cl : :F H
:
H C H C C
:
: Cl :
:F: :F:
:
H
:
: :
:
(e) (f) H C N (g) (h) :
N N O
:
:
:
O H : l P l :
C
:
:
H : l :
:
:
:
:
:
S
:
H H
O O
:
:
:
:
:
O O
: :
N N H H
:
C
:
:
:F F
:
:
:
: Cl H F : O
Cl : :
: l N l :
:
O O
:
:
:
:
:
:
:
:
: l :
: