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John E. McMurry Robert C. Fay
Lecture NotesAlan D. EarhartSoutheast Community College Lincoln, NE
General Chemistry: Atoms First
Chapter 6
Mass Relationships in ChemicalReactions
Copyright 2010 Pearson Prentice Hall, Inc.
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/2
Balancing Chemical Equations
A balanced chemical equation shows that the law ofconservation of mass is adhered to.
In a balanced chemical equation, the numbers and
kinds of atoms on both sides of the reaction arrow areidentical.
2NaCl(s)2Na(s) + Cl2(g)
right side:
2 Na2 Cl
left side:
2 Na2 Cl
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/3
Balancing Chemical Equations
HgI2(s) + 2KNO3(aq)Hg(NO3)2(aq) + 2KI(aq)
right side:
1 Hg2 I2 K2 N6 O
left side:
1 Hg2 N6 O2 K2 I
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/4
Balancing Chemical Equations
2. Find suitable coefficientsthe numbers placedbefore formulas to indicate how many formulaunits of each substance are required to balancethe equation.
2H2O(l)2H2(g) + O2(g)
1. Write the unbalanced equation using the correctchemical formula for each reactant and product.
H2O(l)H2(g) + O2(g)
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/5
Balancing Chemical Equations
3. Reduce the coefficients to their smallest whole-number values, if necessary, by dividing themall by a common divisor.
2H2O(l)2H2(g) + O2(g)
4H2O(l)4H2(g) + 2O2(g)
divide all by 2
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/6
Balancing Chemical Equations
4. Check your answer by making sure that thenumbers and kinds of atoms are the same onboth sides of the equation.
2H2O(l)2H2(g) + O2(g)right side:
4 H
2 O
left side:
4 H
2 O
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/7
Chemical Symbols on aDifferent Level
2H2O(l)2H2(g) + O2(g)
2 molecules of hydrogen gas react with1 molecule of oxygen gas to yield 2
molecules of liquid water.
microscopic:
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/8
Chemical Symbols on aDifferent Level
2H2O(l)2H2(g) + O2(g)
0.56 kg of hydrogen gas react with4.44 kg of oxygen gas to yield 5.00 kg
of liquid water.
macroscopic:
2 molecules of hydrogen gas react with1 molecule of oxygen gas to yield 2
molecules of liquid water.
microscopic:
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Chapter 6/9
Chemical Arithmetic:Stoichiometry
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/10
2(12.0 amu) + 4(1.0 amu) = 28.0 amuC2H4:
Chemical Arithmetic:Stoichiometry
HCl: 1.0 amu + 35.5 amu = 36.5 amu
Molecular Mass: Sum of atomic masses of all atomsin a molecule.
Formula Mass: Sum of atomic masses of all atoms in
a formula unit of any compound, molecular or ionic.
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/11
1 mole = 28.0 gC2H4:
6.022 x 1023 molecules = 28.0 g
Chemical Arithmetic:Stoichiometry
One mole of any substance is equivalent to itsmolecular or formula mass.
1 mole = 36.5 g
6.022 x 1023 molecules = 36.5 g
HCl:
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/12
Chemical Arithmetic:Stoichiometry
How many moles of chlorine gas, Cl2, are in 25.0 g?
25.0 g Cl2
70.9 g Cl2
1 mol Cl2x = 0.353 mol Cl2
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/13
Chemical Arithmetic:Stoichiometry
How many grams of sodium hypochlorite, NaOCl, are in0.705 mol?
0.705 mol NaOCl
1 mol NaOCl
40.0 g NaOClx = 28.2 g NaOCl
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/14
Chemical Arithmetic:Stoichiometry
Stoichiometry: The relative proportions in whichelements form compounds or in which substancesreact.
aA + bB cC + dD
Moles ofA
Grams ofA
Moles ofB
Grams ofB
Mole RatioBetween A
and B(Coefficients)
Molar Massof B
Molar Massof A
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/15
Chemical Arithmetic:Stoichiometry
How many grams of NaOH are needed to react with 25.0 gCl2?
2NaOH(aq) + Cl2(g) NaOCl(aq) + NaCl(aq) + H2O(l)
Aqueous solutions of sodium hypochlorite (NaOCl), bestknown as household bleach, are prepared by reaction ofsodium hydroxide with chlorine gas:
Moles ofCl2
Grams ofCl2
Moles ofNaOH
Grams ofNaOH
Mole Ratio Molar MassMolar Mass
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/16
Chemical Arithmetic:Stoichiometry
How many grams of NaOH are needed to react with 25.0 gCl2?
2NaOH(aq) + Cl2(g) NaOCl(aq) + NaCl(aq) + H2O(l)
Aqueous solutions of sodium hypochlorite (NaOCl), bestknown as household bleach, are prepared by reaction ofsodium hydroxide with chlorine gas:
1 mol NaOH
40.0 g NaOH25.0 g Cl2
70.9 g Cl2
1 mol Cl2
1 mol Cl2
2 mol NaOH
= 28.2 g NaOH
xx x
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/17
Yields of Chemical Reactions
The amount actually formed in a reaction.
The amount predicted by calculations.
Actual Yield:
Theoretical Yield:
Actual yield of product
Theoretical yield of productx 100%Percent Yield =
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/18
Reactions with LimitingAmounts of Reactants
Limiting Reactant: The reactant that is present inlimiting amount. The extent to which a chemicalreaction takes place depends on the limiting reactant.
Excess Reactant: Any of the other reactants stillpresent after determination of the limiting reactant.
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/19
Reactions with LimitingAmounts of Reactants
Because water is so cheap and abundant, it is used inexcess when compared to ethylene oxide. This ensuresthat all of the relatively expensive ethylene oxide is entirelyconsumed.
At a high temperature, ethylene oxide reacts with water toform ethylene glycol, which is an automobile antifreeze anda starting material in the preparation of polyester polymers:
C2H4O(aq) + H2O(l) C2H6O2(l)
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/20
Reactions with LimitingAmounts of Reactants
C2H4O(aq) + H2O(l) C2H6O2(l)
If 3 moles of ethylene oxide react with 5 moles of water,which reactant is limiting and which reactant is present in
excess?
At a high temperature, ethylene oxide reacts with water toform ethylene glycol, which is an automobile antifreeze anda starting material in the preparation of polyester polymers:
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Chapter 6/21
Reactions with LimitingAmounts of Reactants
At a high temperature, ethylene oxide reacts with water toform ethylene glycol, which is an automobile antifreeze anda starting material in the preparation of polyester polymers:
C2H4O(aq) + H2O(l) C2H6O2(l)
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/22
Reactions with LimitingAmounts of Reactants
Li2O(s) + H2O(g) 2LiOH(s)
Lithium oxide is used aboard the space shuttle to removewater from the air supply according to the equation:
If 80.0 g of water are to be removed and 65.0 g of Li2O areavailable, which reactant is limiting? How many grams ofexcess reactant remain? How many grams of LiOH areproduced?
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/23
Reactions with LimitingAmounts of Reactants
Li2O(s) + H2O(g) 2LiOH(s)
Which reactant is limiting?
65.0 g Li2O
1 mol Li2O
1 mol H2O
29.9 g Li2O
1 mol Li2O
= 4.44 moles H2O80.0 g H2O
18.0 g H2O
1 mol H2O
= 2.17 moles H2O
Amount of H2
O given:
Amount of H2O that will react with 65.0 g Li2O:
Li2
O is limiting
x
x
x
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/24
Reactions with LimitingAmounts of Reactants
Li2O(s) + H2O(g) 2LiOH(s)
80.0 g H2O - 39.1 g H2O = 40.9 g H2O
2.17 mol H2O
1 mol H2O
18.0 g H2O
= 39.1 g H2O (consumed)
How many grams of excess H2O remain?
remaininginitial consumed
x
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/25
Reactions with LimitingAmounts of Reactants
Li2O(s) + H2O(g) 2LiOH(s)
2.17 mol H2O
1 mol LiOH
23.9 g LiOH= 104 g LiOH
How many grams of LiOH are produced?
1 mol H2O
2 mol LiOHxx
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/26
Concentrations of Reactants inSolution: Molarity
Molarity (M): The number of moles of a substancedissolved in each liter of solution. In practice, asolution of known molarity is prepared by weighing anappropriate amount of solute, placing it in a container
called a volumetric flask, and adding enough solventuntil an accurately calibrated final volume is reached.
Solution: A homogeneous mixture.
Solute: The dissolved substance in a solution.
Solvent: The major component in a solution.
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Chapter 6/27
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/28
Concentrations of Reactants inSolution: Molarity
Molarity converts between mole of solute and liters ofsolution:
Molarity =Moles of solute
Liters of solution
Lmol or 1.00 M
1.00 L1.00 mol = 1.00
1.00 mol of sodium chloride placed in enough water tomake 1.00 L of solution would have a concentrationequal to:
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/29
Concentrations of Reactants inSolution: Molarity
Molar mass C6H12O6 = 180.0 g/mol
How many grams of solute would you use to prepare1.50 L of 0.250 M glucose, C6H12O6?
1 mol
0.275 mol 180.0 g= 49.5 g
1 L
1.50 L 0.250 mol= 0.275 mol
x
x
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Chapter 6/30
C
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/31
Diluting ConcentratedSolutions
dilute solutionconcentrated solution + solvent
Since the number of moles of solute remains constant,all that changes is the volume of solution by addingmore solvent.
Mi
x Vi
= Mf
x Vf
finalinitial
Dil i C d
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/32
Diluting ConcentratedSolutions
Add 6.94 mL 18.0 M sulfuric acid to enough water tomake 250.0 mL of 0.500 M solution.
Mi
= 18.0 M Mf
= 0.500 M
Vi = ? mL Vf = 250.0 mL
= 6.94 mL18.0 M
250.0 mL
Vi =
Vf 0.500 M
=
Sulfuric acid is normally purchased at a concentration of18.0 M. How would you prepare 250.0 mL of 0.500 Maqueous H2SO4?
xMi
Mf
x
S l i S i hi
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/33
Solution Stoichiometry
aA + bB cC + dD
Moles ofA
Volume ofSolution of A
Moles ofB
Volume ofSolution of B
Mole RatioBetween A
and B
(Coefficients)
Molar Massof B
Molarity ofA
S l i S i hi
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/34
Solution Stoichiometry
H2SO4(aq) + 2NaOH(aq) Na2SO4(aq) + 2H2O(l)
What volume of 0.250 M H2SO4 is needed to react with50.0 mL of 0.100 M NaOH?
Moles ofH2SO4
Volume ofSolution of H2SO4
Moles ofNaOH
Volume ofSolution of NaOH
Mole RatioBetween H2SO4
and NaOH
Molarity ofNaOH
Molarity ofH2SO4
S l ti St i hi t
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/35
Solution Stoichiometry
H2SO4(aq) + 2NaOH(aq) Na2SO4(aq) + 2H2O(l)
2 mol NaOH1 mol H2SO4
0.250 mol H2SO41 L solution
1 L
0.100 mol
1 L1000 mL
= 0.00500 mol NaOH
Volume of H2SO4 needed:
1000 mL
1 L
10.0 mL solution (0.250 M H2SO4)
0.00500 mol NaOH
50.0 mL NaOH
Moles of NaOH available:
x
x
x
x x
Tit ti
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/36
Titration
How can you tell when the reaction is complete?
HCl(aq) + NaOH(aq) NaCl(aq) + 2H2O(l)
Titration: A procedure for determining the concentrationof a solution by allowing a carefully measured volume toreact with a solution of another substance (the standardsolution) whose concentration is known.
Once the reaction is complete you can calculate theconcentration of the unknown solution.
Tit ti
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Chapter 6/37
Titration
unknown concentration solutionErlenmeyer
flask
buretstandard solution
(known concentration)
An indicator is added which changescolor once the reaction is complete
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Tit ti
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/39
Titration
HCl(aq) + NaOH(aq) NaCl(aq) + 2H2O(l)
48.6 mL of a 0.100 M NaOH solution is needed to reactwith 20.0 mL of an unknown HCl concentration. What isthe concentration of the HCl solution?
Moles ofNaOH
Volume ofSolution of NaOH
Moles ofHCl
Volume ofSolution of HCl
Mole RatioBetween NaOH
and HCl
Molarity ofHCl
Molarity ofNaOH
Tit ti
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/40
Titration
HCl(aq) + NaOH(aq) NaCl(aq) + 2H2O(l)
20.0 mL solution
0.00486 mol HCl= 0.243 M HCl
Concentration of HCl solution:
Moles of NaOH available:
1 L
0.100 mol
= 0.00486 mol NaOH
48.6 mL NaOH
1000 mL
1 L
Moles of HCl reacted:
1 mol NaOH
1 mol HCl= 0.00486 mol HCl
0.00486 mol NaOH
1 L
1000 mL
x
x
x
x
P t C iti d
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/41
Percent Composition andEmpirical Formulas
Percent Composition: Expressed by identifying theelements present and giving the mass percent of each.
Empirical Formula: It tells the smallest whole-number
ratios of atoms in a compound.
Molecular Formula: It tells the actual numbers of atomsin a compound. It can be either the empirical formula or amultiple of it.
Multiple =Molecular mass
Empirical formula mass
Percent Composition and
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/42
Percent Composition andEmpirical Formulas
A colorless liquid has a composition of 84.1 % carbonand 15.9 % hydrogen by mass. Determine the empiricalformula. Also, assuming the molar mass of thiscompound is 114.2 g/mol, determine the molecular
formula of this compound.
MolesMass percents Mole ratios Subscripts
Relativemole ratios
Molarmasses
Percent Composition and
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/43
Percent Composition andEmpirical Formulas
Mole of carbon:
Assume 100.0 g of the substance:
12.0 g C
1 mol C84.1 g C
= 7.01 mol C
1.0 g H
1 mol H
= 15.9 mol H
Mole of hydrogen:
15.9 g H
x
x
Percent Composition and
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/44
Percent Composition andEmpirical Formulas
Molecular formula:
7.01
C1x4H2.27x4 = C4H9
7.01
= C1H2.27
need whole numbers
C1H2.27
C7.01H15.9
smallest value for the ratio
C7.01H15.9
Empirical formula:
= 257.0
114.2multiple = C4x2H9x2 = C8H18
Determining Empirical
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Copyright 2010 Pearson Prentice Hall, Inc. Chapter 6/45
Combustion Analysis: A compound of unknowncomposition (containing a combination of carbon,hydrogen, and possibly oxygen) is burned with oxygen toproduce the volatile combustion products CO2 and H2O,
which are separated and weighed by an automatedinstrument called a gas chromatograph.
Determining EmpiricalFormulas: Elemental Analysis
hydrocarbon + O2(g) xCO2(g) + yH2O(g)
carbonhydrogen
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