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Section 4.7 Stoichiometry of Precipitation Reactions Return to TOC 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

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Section 4.7

Stoichiometry of Precipitation Reactions

Return to TOC

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

Return to TOC

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

Return to TOC

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?

Section 4.10

Balancing Oxidation–Reduction Equations

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Copyright © Cengage Learning. All rights reserved 31

• Zn(s) + 2HCl(aq) Zn2+(aq) + 2Cl–(aq) + H2(g)

5. What coefficients are needed to balance the

remaining elements?