Title: Section 1'1 1'3
1Lesson 1 Section 1.1 1.3
- The Scientific Method
- ? Hypothesis
- ?? explains observations
- ?? is falsifiable
- ? A law
- ?? is founded upon thorough observational
experience - ?? is based upon a mathematical treatment
- ?? has predictive capability
- ?? is generally irrefutable
- ?? examples
- ??? Newtons laws of motion
- ??? the laws of thermodynamics
2- The Scientific Method (continued)
- Theory
- ?? designed to explain an hypothesis
- ?? sometimes motivated to explain anomalous
- experimental data
- ?? is sometimes stand-alone
- ?? is based upon a model
- ??? conceptual model
- ??? mathematical model (has predictive
capability) - ?? can never be absolutely proven
3Hypothesis
Theory
Confirm/revise
Test
Test
Confirm/revise
Observations
Experiments
Experiments
Test
Confirm/revise
Law
4- States of matter
- Solid
- Liquid
- Gas
Classification of matter
Matter
Pure substance
Mixture
Element
Compound
Heterogeneous
Homogeneous
5Lesson 2 Section 1.4 1.8
- Properties of matter
- Physical properties characteristics associated
with appearance, - texture, color, state, etc.
- ? Chemical properties characteristics associated
with reactivity
6- Energy
- The capacity to do work. Work is the ability to
move an object. - Total energy
- ?? Kinetic energy energy of motion
- ?? Potential energy the energy an object is
capable of using by - virtue of its position in an external
force field - Internal energy
- The law of conservation of energy energy is
neither created nor - destroyed.
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8- Fundamental units m, g, s, K, mol, C, cd
- Derived units a combination of two or more
fundamental units - Area has units of length2
- ?? Example km2
- Volume has units of length3
- ?? Example cm3
- Density
9Temperature conversions
Note The Kelvin scale is the thermodynamic scale.
10- Categories of properties
- An extensive property depends upon the amount.
- ?? Examples
- An intensive property does not depend upon the
amount. - ?? Examples
11- Rules for significant figures
- All non-zero numbers are significant.
- ?? Example 134.2 4 sig. figs.
- Zeros between non-zero numbers are significant.
- ?? Example 9087 4 sig. figs.
- Place-holding zeros are not significant.
- ?? Examples 0.0032 2 sig. figs.
- 0.00320 3 sig. figs.
12- Rules for significant figures (continued)
- Multiplication division the answer has the
same number of - sig. figs. as the number that has the fewest
sig. figs. - ?? Example 45.47 0.650 29.6
- Addition subtraction the answer has the same
number of - decimal places as the number that has the
fewest number of - decimal places.
- ?? Examples 54.13 0.073 54.20
- 54.13 0.003 54.13
13- Rules for significant figures (continued)
- Round to the correct number of sig. figs. after
you - have done all the calculations.
- Exact numbers and exact conversions do not limit
the - number of sig. figs.
14- Precision and accuracy
- Accuracy how close a measured answer is to the
actual - answer.
- Precision how close a series of measurements
are to one - another.
- Systematic errors lead to poor accuracy.
- Excessive random error leads to poor precision.
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20- Units and dimensional analysis
- Always include units in your analysis.
- Conversion factor a ratio of units that is
designed to - convert from one unit to another.
- ?? Example
- Picket fence method convert 25 mi/hr to m/s.
Use the - following conversion 1 km 0.6214 mi
21- Problem-solving tips
- Identify what is given.
- Identify what you must find.
- Devise a strategy that connects what you have to
you need - to find. Dont forget units!
- If the problem requires calculations, do all the
algebra first, - then do the arithmetic (number crunching).
- Check your answer for reasonableness.
22Lesson 3 Section 2.1 ? 2.4
- Some fundamental laws of chemistry
- the law of conservation of matter matter is
neither created nor - destroyed.
- the law of definite proportions all samples of
a given compound - have the same proportions of its constituent
elements. - the law of multiple proportions when two
elements (A B) - form two different compounds, the masses of B
that combine - with 1 gram of A can be expressed as a ratio of
small whole - numbers.
23- Atomic theory
- Every element is composed of particles called
atoms. - All atoms of the same element have the same mass
(this one - is not quite true!).
- Atoms combine in whole number ratios to form
compounds. - Atoms of one element cannot change into atoms of
another - element (this debunks the science of
alchemy).
24- The structure of the atom
- the electron
- ?? very light particles that comprise part of
the atom - ?? possesses a negative charge
- plate
Electron beam
plate
25- The structure of an atom (continued)
- J. J. Thomson determined the charge-to-mass
ratio of an - electron (-1.76 x 108 C/g)
- R. Millikan determined the charge of an electron
(-1.60 x 10-19 - C)
- mass of an electron
26- Structure of an atom (continued)
- Rutherfords experiment with ? particles
bombarding gold - foil showed that atoms were mostly comprised of
space. - Rutherfords nuclear theory
- ?? Most of the atoms mass is contained within
a small core - called a nucleus.
- ?? Most of the atoms volume is empty space.
- ?? There are as many electrons outside the
nucleus as there - are positively charged particles (called
protons) in the - nucleus.
- Studies by J. Chadwick showed there are neutral
particles - (called neutrons) in the nucleus.
27- Structure of an atom (continued)
- Protons and neutrons make up the nucleus of the
atom, and the - electrons circle around the nucleus.
28Lesson 4 Section 2.5 ? 2.8
- Elements
- The element is determined by the number of
protons (p). - Atoms of a given element may have different
numbers of - neutrons (n).
- Isotope symbol atomic number
- mass number
- X element symbol
29- Elements (continued)
- Isotope symbol (continued)
- Shorthand notation
-
- Example isotopes of chlorine
- Chlorine-35
- Chlorine-37
30- Elements (continued)
- Ions formed from the gain or loss of electrons
- The Periodic Table discuss the periodic table
31- Atomic mass
-
-
- MA is the average atomic mass
- fn is the fraction of isotope n
- mn is the mass of isotope n
32- Atomic mass (continued)
- Example Mg has three naturally occurring
isotopes with - amus of 23.99 (78.99), 24.99 (10.00), and
25.98 (11.01) - Calculate the atomic mass of Mg.
33- Molar mass and Avogadros number
- 1 mole 6.0221421 1023 particles
- Note this is the number of atoms in exactly 12
g of - Atomic and molar masses are in g/mole
34Lesson 5 Section 3.1 ? 3.5
- Types of chemical bonds
- Ionic bonds bonds between cations and anions
- ?? The cation is generally a metal ion or a
polyatomic - cation and the anion is generally a
nonmetal ion or a - polyatomic anion.
- ?? Examples KBr, MnCl2, NH4Cl
- Covalent bonds bonds that are formed by the
sharing of - electrons
- ?? Covalent bonds generally form between two
nonmetals. - ?? Examples NO, H2O, PCl5, Br2
35- Types of chemical formulas
- Empirical formula gives the relative number of
atoms of each - element in the compound.
- Molecular formula gives the actual number of
atoms of each - element in the compound.
- Structural formula shows the actual covalent
bonds in the - compound.
- Molecular models model kits
36- Example hydrogen peroxide
- HO empirical formula
- H2O2 molecular formula
- H ? O ? O ? H structural formula
-
37Classification of elements and compounds
Pure substances
Elements
Compounds
Atomic
Molecular
Molecular
Ionic
38- Formation of ions from the elements
- Group 1A elements form cations with a 1 charge.
- Group 2A elements (alkaline earth metals) form
cations with - a 2 charge.
- Transitions metals always form cations, but the
charges vary. - Exceptions Zn always forms Zn2 and Ag always
forms Ag. - Group 6A nonmetal elements form anions with a ?2
charge. - Group 7A elements (halogens) form anions with a
?1 charge. - All charges for the elements in the formula must
add to zero.
39- Nomenclature
- Ionic compounds
- ?? Binary compounds formed from main group
metals name - of metal base name of anion ide
- Example RbBr rubidium bromide
- ?? Binary compounds formed from transition
metals name of - metal (charge of metal cation) base
name of anion ide - Example FeCl3 iron(III) chloride
40- Ionic compounds (continued)
- ?? Compounds formed from polyatomic ions (page
85 of text) - ??? Polyatomic cation name of polyatomic
cation base - name of anion ide
- Example (NH4)2S ammonium sulfide
- ??? Polyatomic anion name of metal
(charge of metal - cation if a transition metal) name
of polyatomic anion - Example Mn3(PO4)2
manganese(II) phosphate - ??? Polyatomic cation polyatomic anion
- Example (NH4)2CrO4 ammonium
chromate
41Lesson 6 Sections 3.6 3.8
- Nomenclature (continued)
- Molecular compounds numeric prefix name of
first element - numeric prefix base name of second element
ide - ?? Numeric prefixes mono 1 hexa 6
- di 2 hepta 7
- tri 3 octa 8
- tetra 4 nona 9
- penta 5 deca 10
42- Molecular compounds (continued)
- ?? Mono is not used if there is only one atom
of the first - element
- ?? Examples NO2 nitrogen dioxide
- N2O dinitrogen monoxide
- P4S10 tetraphosphorus decasulfide
- Hydrates the formula contains water molecules
- Example CuSO4?5H2O copper(II) sulfate
pentahydrate
43- Nomenclature (continued)
- Acids compounds that in water will yield a
proton (H) - ?? Binary acids hydro base name of nonmetal
ic acid - Example HCl(aq) hydrochloric acid
- ?? Oxyacids (acids in which the anion is
polyatomic) - ??? oxyanions ending in ate base name of
oxyanion ic - acid
- Example HNO3(aq) nitric acid
- is the nitrate ion
44?? Oxyacids (continued) ??? oxyanions ending
in ite base name of oxyanion ous
acid Example HNO2(aq) nitrous acid
is the nitrite ion
45- Molar mass
- M is the molar (or formula) mass
- ni is the number of atoms per formula unit
- Ai is the atomic mass
- Example C2H4 M 2(12.01 g/mol) 4(1.008 g/mol)
- 28.05 g/mol
46- Composition of a compound
- Px is the mass percent of element x
- nx is the number of atoms of x per
- formula unit
- Ax is the atomic mass of x
- Mcompound is the molar mass of the
- compound
47- Composition of a compound (continued)
- Example calculate the mass percent of N in
NH4NO3. - 2(14.01 g/mol) 4(1.008 g/mol) 3(16.00
g/mol) - 80.05 g/mol
- 35.00
48Lesson 7 Sections 3.9 3.11
- Determination of the empirical formula from
chemical analysis - ?? Examples
-
- ??? A sample contains the following
elemental composition - Se 1.443 g
- Br 5.841 g
- What is the empirical formula?
- ??? Ibuprofen has the following mass
percent composition - C 75.69
- H 8.80
- O 15.51
- What is the empirical formula?
49- ?? Combustion analysis used for combustible
compounds - ??? Carbon (C) forms carbon dioxide (CO2)
- ??? Hydrogen (H) forms water (H2O)
- ??? Example combustion analysis of a
13.42-g sample - containing C, O, and H yields 39.61 g
of CO2 and - 9.01 g of H2O. What is the empirical
formula? - Rules for balancing chemical equations
- ?? Apply the principle of mass balance the
number of atoms - for each element must be the same on either
side of the - equation.
50- Rules for balancing chemical equations
(continued) -
- ?? Balance the elements in the more
complicated formulas - first.
- ?? Balance molecular elements (e.g. O2, N2)
last. - ?? Include state symbols (s, l, g, aq) for all
species. - ?? Example C8H18(l) O2(g) ? CO2(g) H2O(l)
51Lesson 8 Sections 4.1 4.3
- Reaction stoichiometry
- The stoichiometric coefficients indicate the
relative number - of moles of each substance in the chemical
reaction. - ? Reaction stoichiometry conversion chart
Mass
Moles
Moles
Mass
52- Limiting reactant
- The limiting reactant is the one that limits the
amount of - product formed.
- The limiting reactant generally is determined by
trial and - error.
53- Limiting reactant (continued)
- Conceptual plan
- You are given an amount of A and B for the
following - reaction aA bB ? cC
mass A
moles A
moles C
Keep the smaller value of C
moles C
mass C
mass B
moles B
moles C
Whichever reactant yields the smaller value for C
is the limiting reactant.
54- Limiting reactant (continued)
-
- Yields
- ?? The theoretical yield is determined by the
limiting reactant. - ?? The actual yield is calculated by the
equation - Y is the percent yield
- AY is the actual yield
- TY is the theoretical yield
55Lesson 9 Sections 4.4 4.6
- Solutions
- Solution solute solvent
- ?? The solute is the component in the least
concentration. - ?? The solute can be a dissolved solid, liquid,
or gas. - ?? For an aqueous solution, the solvent is
water. - Solution concentrations
- ?? Molarity (M) Vsolution is in L
56- Solution concentrations (continued)
- ?? Example calculate the molarity of a
solution that is made - by dissolving 45.4 g of NaNO3 in 2.50 L of
solution. - Solution dilution equation
- Note For calculating molarities (M1 and M2 )
using the - dilution equation, the volumes do not have to
be in liters. - For calculating moles using the dilution
equation, the - volumes must be in liters.
57- Solution concentrations (continued)
- ?? Solution stoichiometry conversion chart
- Types of solutes
- ?? Electrolytes solutes that ionize in
solution and conduct - electricity. Electrolytes include salts,
acids, and bases. - ?? Nonelectrolytes solutes that do not ionize
in solution and - do not conduct electricity.
Volume of A
Moles of A
Moles of B
Volume of B
58- Types of solutes (continued)
- ?? Interactions of ions with solvent molecules
59- Solutions (continued)
-
- Solubility of ionic compounds see Table 4.1 on
page 136 of - textbook.
- ?? Soluble compounds are not generally
infinitely soluble. - ?? Insoluble compounds are in fact slightly
soluble.
60- Precipitation reactions
- Precipitation reaction a reaction that leads to
a precipitate - Example
- PbI2 is not soluble in water.
61- Precipitation reactions (continued)
- Cross pair the ions to determine if a
precipitate forms - ?? Examples
62Lesson 10 Sections 4.7 4.9
- Representations of aqueous reactions
- Molecular representation shows the complete
neutral formulas - for each compound
- ?? Example
63- Representations of aqueous reactions (continued)
- Complete ionic reaction shows all the
individual ions - ?? Example
64- Representations of aqueous reactions (continued)
- Net ionic reaction shows only the ionic species
that react - ?? Example
Na(aq) and are called spectator
ions.
65- Acid-base reactions
- Acid a substance that produces H (a proton) in
solution - Base a substance that produces OH? in solution
- Examples
- H3O is the hydronium ion.
66- Acid-base reactions (continued)
- The net ionic reaction for an acid-base reaction
is - or
- ?? Example
- acid base water
salt
67- Gas-evolution reactions
- Reactions that form gases when the reactants are
mixed - ?? Examples
68- Oxidation-reduction (redox) reactions
- Reactions in which the oxidation states of two
or more elements - change
- Oxidation states change when electrons are
gained (reduction) - or lost (oxidation).
- Rules for assigning oxidation numbers
- ?? The oxidation number of a free element is 0.
- ?? The oxidation number of a monatomic ion is
its charge.
69- Rules for assigning oxidation numbers
(continued) - ?? The sum of the oxidation numbers of all
atoms in a compound, - formula unit, or polyatomic ion is the same
as the overall - charge.
- ?? Metals always have positive oxidation
numbers, unless they - are free elements.
- ??? Group I metals have a 1 oxidation
number. - ??? Group II metals have a 2 oxidation
number. - ??? Transition metals have oxidation
numbers that vary.
70- Rules for assigning oxidation numbers
(continued) - ?? Nonmetals have oxidation numbers according
to the following - hierarchal rules
- ??? Fluorine (F) in any compound is always
?1. - ??? Hydrogen (H) in most compounds is 1.
- ??? Oxygen (O) in most compounds is ?2.
- ??? Group 7A elements in most compounds is
?1. - ??? Group 6A elements in most compounds is
?2. - ??? Group 5A elements in most compounds is
?3.
71- Oxidation-reduction (redox) reactions (continued)
- Oxidizing agent the species in the redox
reaction that is reduced. - Reducing agent the species in the redox
reaction that is oxidized. - Examples What are the oxidation numbers and the
oxidizing and - reducing agents in the following reactions?
- ??
- ??
72Lesson 11 Sections 5.1 5.3
- Simple gas laws
- Pressure
-
- ?? Defined as the force per unit area
-
- ?? Unit conversions
- 1 atm 101,325 Pa 760 torr (mm Hg)
14.7 psi
73- Simple gas laws (continued)
- Fundamental state variables P, T, V, n (P T
are intensive - properties V n are extensive properties)
- Boyles Law
- if T and n are constant.
- Charless Law
-
- if P and n are constant.
74- Simple gas laws (continued)
- Avogadros Law
-
- if T and P are constant.
- Charless Law and absolute zero
- ?? A plot of V vs. T extrapolated to V 0 in
theory gives - the value for absolute zero temperature.
75V
-273.15 ? C
-300 -250 -200 -150 -100 -50
0 50 100 150
T/? C
76- Charless Law and absolute zero (continued)
- ?? Kelvin (K) is the absolute (true)
temperature scale - Conversion from ?C to K
- Note the Kelvin scale is a shifted
centigrade scale.
77Lesson 12 Sections 5.4 5.5
- The ideal gas law
- Proportionalities T n constant
- P n constant
- P T constant
- Combining these three proportionalities gives
-
78- Application of the ideal gas law
- Density of a gas M is the molar mass
- Molar mass of a gas
- Note These equations apply only for an ideal
gas. - Practice problem 5.7 on p. 177
79Lesson 13 Sections 5.6 5.7
- Partial pressures and Daltons Law
- For mixtures of ideal gases
- This equation is Daltons law of partial
pressures. -
-
80- Partial pressures and Daltons Law (continued)
- The mole fraction
- The partial pressure in terms of mole fraction
- Practice problems 5.9 on p. 180 and 5.10 on p.
181
81- Partial pressures and Daltons Law (continued)
- Partial pressures and mole fractions of the
components of - dry air
- Nitrogen (N2) 0.78 atm, 0.78
- Oxygen (O2) 0.21 atm, 0.21
- Argon (Ar) 0.009 atm, 0.009
- Carbon dioxide (CO2) 0.0004 atm, 0.0004
- For humid air, the partial pressure of water
vapor can be up - to 0.03 atm
82- Reaction stoichiometry for gas reactions
- Conceptual plan
- Practice problem 5.12 on p. 185
P, V, T of B
gas
P, V, T of A
moles of A
moles of B
liquid or solid
mass of B
83Lesson 14 Sections 5.8 5.9
- Kinetic molecular theory
- Theory that explains the behavior of gas
molecules on a - molecular level.
- Postulates
- ?? The size of the gas molecules is
negligible. - ?? The average kinetic energy of the molecules
is proportional - to the temperature.
- ?? Collisions are completely elastic (energy
is not absorbed by - the internal modes of the molecule).
84- Kinetic molecular theory (continued)
- Velocity distribution
Fraction of molecules
? ? average
?v?
Molecular speed
85- Kinetic molecular theory (continued)
- Velocity distribution same gas at two different
temperatures
T1
T1
m1 m2 T2 gt T1 ?v2? gt ?v1?
Fraction of molecules
T2
Molecular speed
86- Kinetic molecular theory (continued)
- Velocity distribution two different gases at
the same temperature
m1
m1 gt m2 T2 T1 ?v2? gt ?v1?
Fraction of molecules
m2
Molecular speed
87- Kinetic molecular theory (continued)
- Average molar kinetic energy of a gas molecule
-
- From these equations, it can be shown that
- the root mean square speed
the subscript m is per mole
88- Kinetic molecular theory (continued)
- Average speed
- Root mean square speed
- For calculations of average molecular speeds,
use -
- Practice problem 5.14 on p. 191
89- Kinetic molecular theory (continued)
- Mean free path the average distance traveled by
a gas - molecule between collisions.
- Diffusion the spreading out of molecules due to
concentration - gradients.
- Effusion the loss of gas molecules as they pass
through very - small pinholes.
- Practice problem 5.15 on p. 193
90- Real gases and the van der Waals equation
- Real gases deviate from ideality because
- ?? The size of the gas molecules is not
negligible. - ?? The molecules interact with one another.
- van der Waals equation
- b accounts for the finite molecular size a
accounts for the - molecular interactions. b tends to make the
actual pressure - larger than the ideal pressure a tends to make
it less than ideal - (p. 194).
91Lesson 15 Sections 6.1 6.3
- Thermochemistry the study of the relationship
between - chemical reactions and energy.
- Energy
- Energy associated with an external reference
frame - ?? Kinetic energy energy associated with an
objects motion - ?? Potential energy energy associated with an
objects - position in an external force field
92- Internal energy
- ?? The energy associated with the thermodynamic
state of a - system is called the internal energy.
Internal energy is - whats inside the object.
- ?? Internal energy is composed of
- ??? Kinetic energy associated with random
molecular - motion (thermal energy)
- ??? Potential energy stored in chemical
bonds and internal - modes of molecules
- ?? Internal energy (E) is transferred to and
from the system - in the form of heat (q) and work (w).
93- Internal energy (continued)
- ?? The transfer of energy between the system
and the - surroundings is in the form of either heat
or work.
Surroundings
q
System
w
94- Internal energy (continued)
- ?? When energy is transferred as heat, there is
an increase in the - thermal energy when energy is transferred
as work, there is a - net displacement of an object
- ?? Energy units
95- Internal energy (continued)
- ?? Mathematical expression for the First
- Law of Thermodynamics (energy is
- conserved in any process)
- State function any function of the system
- ?? A change in a state function depends only
upon the initial - and final states of the system, not on how
it got there. - ?? P, T, V, E are all state functions.
- ?? q and w are not state functions, but are
ways in which - energy is transferred between the system
and the - surroundings.
96Surroundings
q
System
w
97- Heat (q)
- A transfer of heat changes the level of thermal
motion of the - molecules
- A transfer of energy in the form of heat causes
- ?? A change in the phase (i.e. melting,
boiling) - ?? A change in the temperature of the system
- C is the heat capacity
- Cm is the molar heat capacity
- Cs is the specific heat
98- A transfer of heat causes (continued)
- ?? The higher the heat capacity, the more heat
is required to - raise the temperature of a substance.
- Sign convention
- ?? A process is endothermic if q gt 0.
- ?? A process is exothermic if q lt 0.
99- Work (w)
- Work done on or by a system causes net motion of
an object. - A transfer of energy in the form of work causes
- ?? A change in the volume of the system
- ?? A change in the volume of the system
- pressure-volume work
100Lesson 16 Sections 6.4 6.5
- Constant-volume calorimetry
- If the volume is constant, then
- Energy-balance equation for the bomb calorimeter
(?V 0) - ??
- ?? Ccal includes the apparatus and the water
(p. 217) - ?? Practice problems 6.4 (p. 218 219)
101- Enthalpy (H)
- H is a state function.
- At constant pressure
- ??
- ?? ?H and ?E are nearly identical numerically
unless there - is significant pressure-volume work that
occurs from the - reaction.
- Practice problems 6.5 (p. 221) and 6.6 (p. 222)
102Lesson 17 Sections 6.6 6.8
- Summary of ?E and ?H
-
-
- Constant-pressure calorimetry
- At constant pressure,
- Styrofoam cup method (coffee cup calorimetry, p.
223) - ??
- ?? Practice problem 6.7 (p. 224)
103- Relationships involving ?H
- Multiplication factor A 2B ? C ?H1
- 2A 4B ? 2C
- Reverse factor A 2B ? C ?H1
- C ? A 2B
- Addition factor A 2B ? C ?H1
- C ? 2D ?H2
- A 2B ? 2D
- Hesss law
- Practice problem 6.8 (p. 227)
104(standard enthalpy) from (the standard
enthalpy of formation)
- Standard state
- ?? For gases the pure gas at 1.00 atm
- ?? For pure liquids and solids the pure
substance in its most - stable form at 1.00 atm and (generally)
25.0 ?C - ?? For solutions 1.00 M
- ?? Standard enthalpy (?H0) ?H for a process in
which all - reactants and products are in their
standard states.
105- Standard state (continued)
- ?? Standard enthalpy of formation ( )
?H for the - formation of a compound from elements in
their standard - states.
- ?? for a pure substance in its most stable
state is 0. - Standard enthalpy change for a reaction (
) - Practice problems 6.9 (p. 229), 6.10 (p. 230),
and 6.11 (p. - 231)