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Section 4.7
Stoichiometry of Precipitation Reactions
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Copyright © Cengage Learning. All rights reserved 1
1. Determine what reaction if any occurs. If a reaction
occurs write a balanced molecular equation.
2. Write the balanced net ionic equation for the
reaction.
3. Calculate the moles of reactants.
4. Determine which reactant is limiting. (if given 2 reactants)
5. Convert to moles of product & then desired unit
Solving Stoichiometry Problems for Reactions in Solution
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Stoichiometry of Precipitation Reactions:
Example 1: Calculate the mass of barium sulfate
formed when 250.0 mL of 0.0500 M BaCl2 and 150.0 mL
of 0.100 M Na2SO4 are mixed.
Step 1: The Molecular equation:
BaCl2 + Na2SO4 BaSO4 + 2NaCl
Step 2: The net Ionic equation
Ba2+ + SO42- BaSO4
Copyright © Cengage Learning. All rights reserved 2
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Step 3: Calculate the moles of reactants
Step 4: Determine the limiting reagent
Step 5: Determine the moles of product and then
convert to other units as needed
Copyright © Cengage Learning. All rights reserved 3
2 21 0.0500 250.0 0.0125
1000
L molmol Ba mL mol Ba
mL L
2 2
4 4
1 0.100 150.0 0.0150
1000
L molmol SO mL mol SO
mL L
2
40.0150 0.0150
1
mol SO
20.0125
0.01251
mol Ba
2 4 442
4
1 233.4 0.0125 2.92
1 1
mol BaSO g BaSOmol Ba g BaSO
mol Ba mol BaSO
Ba2+ is limiting
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Copyright © Cengage Learning. All rights reserved 4
• Where are we going?
Find the mass of solid Pb3(PO4)2 formed.
• How do we get there?
Write the balanced molecular & net ionic equation
What are the moles of reactants present in the solution?
Which reactant is limiting?
Convert to moles of product & then to the desired unit
What mass of Pb3(PO4)2 will be formed?
Let’s Think About It
Example 2: 10.0 mL of a 0.30 M sodium phosphate
solution reacts with 20.0 mL of a 0.20 M lead(II) nitrate
solution (assume no volume change) What mass of
precipitate will form?
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Copyright © Cengage Learning. All rights reserved 5
Example 2: 10.0 mL of a 0.30 M sodium phosphate
solution reacts with 20.0 mL of a 0.20 M lead(II) nitrate
solution (assume no volume change) What mass of
precipitate will form?
Step 1: The Molecular equation: (what ppt forms)
2Na3PO4(aq) + 3Pb(NO3)2(aq) → 6NaNO3(aq) + Pb3(PO4)2(s)
Step 2: The net Ionic equation
3Pb2+ + 2PO43- Pb3(PO4)2
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Step 3: Calculate the moles of reactants
Step 4: Determine the limiting reagent
Step 5: Determine moles of product & convert to the
desired unit
Copyright © Cengage Learning. All rights reserved 6
3 41 0.30
10.0 .00301000 1
L molmLX x molNa PO
mL L
3 21 0.20
20.0 .0040 (N )1000 1
L molmLX x molPb O
mL L
3 4.00300.0015
2
molNa PO 3 2.0040 (N )
.00133
molPb O
3 4 2 3 4 23 4 2
3 2 3 4 2
1 ( ) 811.5 ( ).0040 1.1g ( )
3 (N ) 1 ( )
molPb PO gPb POx x Pb PO
molPb O molPb PO
Pb2+ is limiting.
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Copyright © Cengage Learning. All rights reserved 7
• Where are we going?
To find the concentration of nitrate ions left in
solution after the reaction is complete.
• How do we get there?
What are the moles of nitrate ions present in the
combined solution?
What is the total volume of the combined solution?
Let’s Think About It
Example 3: 10.0 mL of a 0.30 M sodium phosphate
solution reacts with 20.0 mL of a 0.20 M lead(II) nitrate
solution (assume no volume change). What is the
concentration of nitrate ions left in solution after the
reaction is complete?
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Example 3:
• Nitrate ions are spectator ions & don’t participate in
the reaction.
• We know from the earlier problem that Pb+2 was
limiting therefore: .0040M
Copyright © Cengage Learning. All rights reserved 8
3 3.0040N 2 .0080 NO x mol O
33
.0080 N.27 N
.0300
mol OM O
L
• The total volume of the solution is 30.0mL
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Copyright © Cengage Learning. All rights reserved 9
• Where are we going?
Find the concentration of phosphate ions left after the reaction
is complete.
• How do we get there?
What are the moles of phosphate ions present in the solution at
the start of the reaction?
How many moles of phosphate ions were used up in the
reaction to make the solid Pb3(PO4)2?
How many moles of phosphate ions are left over after the
reaction is complete?
What is the total volume of the combined solution?
Let’s Think About It
Example 4: 10.0 mL of a 0.30 M sodium phosphate solution
reacts with 20.0 mL of a 0.20 M lead(II) nitrate solution (assume
no volume change). What is the concentration of phosphate ions
left in solution after the reaction is complete?
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Example 4:
• Take moles of limiting and turn to excess; this
determines the amount of phosphate used
during the reaction.
Copyright © Cengage Learning. All rights reserved 10
4 34
2.0040 +2 .0027 3
3 2
molPOPb x molPO
molPb
0.0030 mol– 0.0027 mol= 0.00033 mol of PO4-3 left
• There were 0.0030 mol of Na3PO4 at the start,
which means there are 0.0030 mol PO4-3
Section 4.7
Stoichiometry of Precipitation Reactions
Return to TOC
Example 5: Calculate the mass of Ag2S produced
when 125ml of 0.200MAgNO3 is added to an excess
of Na2S solution.
Copyright © Cengage Learning. All rights reserved 11
2AgNO3+ Na2S Ag2S +2NaNO3
3 2 23 2
3 3 2
1 .200 1 247.93.10
1000 2 1125
1
L molAgNO molAg S gAg SAgNO x x x x gAg S
mL LAgNO molAgNO molL
Ag Sm
Section 4.7
Stoichiometry of Precipitation Reactions
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Done for Today….
Copyright © Cengage Learning. All rights reserved 12
Section 4.8
Acid–Base Reactions
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Copyright © Cengage Learning. All rights reserved 13
• Acid—proton donor
• Base—proton acceptor
• For a strong acid and base reaction:
H+(aq) + OH–(aq) H2O(l)
Acid–Base Reactions (Brønsted–Lowry)
Section 4.8
Acid–Base Reactions
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Copyright © Cengage Learning. All rights reserved 14
Neutralization of a Strong Acid by a Strong Base
Section 4.8
Acid–Base Reactions
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Copyright © Cengage Learning. All rights reserved 15
1. List the species present in the combined
solution before any reaction occurs, and decide
what reaction will occur.
2. Write the balanced net ionic equation for this
reaction.
3. Calculate moles of reactants.
4. Determine the limiting reactant, where
appropriate.
5. Calculate the moles of the required reactant or
product.
6. Convert to grams or volume (of solution), as
required.
Performing Calculations for Acid–Base Reactions
Section 4.8
Acid–Base Reactions
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Copyright © Cengage Learning. All rights reserved 16
• Titration – delivery of a measured volume of
a solution of known concentration (the titrant)
into a solution containing the substance
being analyzed (the analyte).
• Equivalence point – enough titrant added to
react exactly with the analyte.
• Endpoint – the indicator changes color so
you can tell the equivalence point has been
reached.
Acid–Base Titrations
Section 4.8
Acid–Base Reactions
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Copyright © Cengage Learning. All rights reserved 17
Concept Check
For the titration of sulfuric acid (H2SO4) with
sodium hydroxide (NaOH), how many moles
of sodium hydroxide would be required to
react with 1.00 L of 0.500 M sulfuric acid to
reach the endpoint?
1.00 mol NaOH
Section 4.8
Acid–Base Reactions
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Copyright © Cengage Learning. All rights reserved 18
• Where are we going?
To find the moles of NaOH required for the
reaction.
• How do we get there?
What are the ions present in the combined
solution? What is the reaction?
What is the balanced net ionic equation for the
reaction?
What are the moles of H+ present in the solution?
How much OH– is required to react with all of the
H+ present?
Let’s Think About It
Section 4.9
Oxidation–Reduction Reactions
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Copyright © Cengage Learning. All rights reserved 19
• Reactions in which one or more electrons
are transferred.
Redox Reactions
Section 4.9
Oxidation–Reduction Reactions
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Copyright © Cengage Learning. All rights reserved 20
Reaction of Sodium and Chlorine
Section 4.9
Oxidation–Reduction Reactions
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Copyright © Cengage Learning. All rights reserved 21
1. Oxidation state of an atom in an element = 0
2. Oxidation state of monatomic ion = charge of
the ion
3. Oxygen = 2 in covalent compounds (except in
peroxides where it = 1)
4. Hydrogen = +1 in covalent compounds
5. Fluorine = 1 in compounds
6. Sum of oxidation states = 0 in compounds
7. Sum of oxidation states = charge of the ion in
ions
Rules for Assigning Oxidation States
Section 4.9
Oxidation–Reduction Reactions
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Copyright © Cengage Learning. All rights reserved 22
Exercise
Find the oxidation states for each of the
elements in each of the following
compounds:
• K2Cr2O7
• CO32-
• MnO2
• PCl5
• SF4
K = +1; Cr = +6; O = –2
C = +4; O = –2
Mn = +4; O = –2
P = +5; Cl = –1
S = +4; F = –1
Section 4.9
Oxidation–Reduction Reactions
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Copyright © Cengage Learning. All rights reserved 23
• Transfer of electrons
• Transfer may occur to form ions
• Oxidation – increase in oxidation state
(loss of electrons); reducing agent
• Reduction – decrease in oxidation state
(gain of electrons); oxidizing agent
Redox Characteristics
Section 4.9
Oxidation–Reduction Reactions
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Copyright © Cengage Learning. All rights reserved 24
Concept Check
Which of the following are oxidation-reduction
reactions? Identify the oxidizing agent and the
reducing agent.
a)Zn(s) + 2HCl(aq) ZnCl2(aq) + H2(g)
b)Cr2O72-(aq) + 2OH-(aq) 2CrO4
2-(aq) + H2O(l)
c)2CuCl(aq) CuCl2(aq) + Cu(s)
Section 4.10
Balancing Oxidation–Reduction Equations
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Copyright © Cengage Learning. All rights reserved 25
1. Write the unbalanced equation.
2. Determine the oxidation states of all atoms in
the reactants and products.
3. Show electrons gained and lost using “tie
lines.”
4. Use coefficients to equalize the electrons
gained and lost.
5. Balance the rest of the equation by
inspection.
6. Add appropriate states.
Balancing Oxidation–Reduction Reactions by Oxidation States
Section 4.10
Balancing Oxidation–Reduction Equations
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Copyright © Cengage Learning. All rights reserved 26
• Balance the reaction between solid zinc
and aqueous hydrochloric acid to
produce aqueous zinc(II) chloride and
hydrogen gas.
Section 4.10
Balancing Oxidation–Reduction Equations
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Copyright © Cengage Learning. All rights reserved 27
• Zn(s) + HCl(aq) Zn2+(aq) + Cl–(aq) + H2(g)
1. What is the unbalanced equation?
Section 4.10
Balancing Oxidation–Reduction Equations
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Copyright © Cengage Learning. All rights reserved 28
• Zn(s) + HCl(aq) Zn2+(aq) + Cl–(aq) + H2(g)
0 +1 –1 +2 –1 0
2. What are the oxidation states for each atom?
Section 4.10
Balancing Oxidation–Reduction Equations
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Copyright © Cengage Learning. All rights reserved 29
1 e– gained (each atom)
• Zn(s) + HCl(aq) Zn2+(aq) + Cl–(aq) + H2(g)
0 +1 –1 +2 –1 0
2 e– lost
• The oxidation state of chlorine remains unchanged.
3. How are electrons gained and lost?
Section 4.10
Balancing Oxidation–Reduction Equations
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Copyright © Cengage Learning. All rights reserved 30
1 e– gained (each atom) × 2
• Zn(s) + HCl(aq) Zn2+(aq) + Cl–(aq) + H2(g)
0 +1 –1 +2 –1 0
2 e– lost
• Zn(s) + 2HCl(aq) Zn2+(aq) + Cl–(aq) + H2(g)
4. What coefficients are needed to equalize the
electrons gained and lost?