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SCH 4U REVIEW 1 of 39
SCH 4U REVIEW
CHAPTER 1: ORGANIC COMPOUNDS
organic compound – a compound that contains carbon and usually hydrogencatenation – the property of carbon to form a covalent bond with another carbon atom, forming
long chains or ringsfunctional group – a group of atoms in an organic molecule that impart particular physical and
chemical characteristics to that molecule– there are three main components:
multiple bonds between C atoms (e.g. – C ≡ C – ) C bonded to a more electronegative atom (i.e., N, O, OH, or a halogen) C double bonded to O
Basic NamingNUMBER PREFIX FOR
NAMINGALKYL GROUP
NAMEFUNCTIONAL
GROUPPREFIX FOR
NAMING
1 meth- methyl- - F fluoro2 eth- ethyl- - Cl chloro3 prop- propyl- - Br bromo4 but- butyl- - I iodo5 pent- pentyl- - OH hydroxy6 hex- hexyl- - NO2 nitro7 hept- heptyl- - NH2 amino8 oct- octyl-9 non- nonyl-10 dec- decyl-
Isomers of Alkyl Groups
butyl (or n-butyl) CH3 – CH2 – CH2 – CH2
isobutyl (or i-butyl) CH3 – CH – CH3
CH2
s-butyl (secondary butyl) CH3 – CH – CH2 – CH3
t-butyl (tertiary butyl) CH3
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CH3 – C – CH3
SYMBOLSR, R΄, R˝ alkyl groupX halogen atom(O) oxidizing agent (like KMnO4 or Cr2O7
2- in H2SO4)PRIORITY FOR NAMING (FROM HIGHEST TO LOWEST)OH hydroxylNH2 aminoF, Cl, Br, I fluoro, chloro, bromo, iodoCH2CH2CH3 propylCH2CH3 ethylCH3 methyl
ALKANES
DEFINITIONa hydrocarbon with only single bonds between carbon atoms; general formula, CnH2n+2
NAMING
prefix referring to number of carbons in the longest continuous chain + “-ane” alkyl groups are named in alphabetical order, numbered from the end that
will give the lowest combination of numbers the presence of two or more of the same alkyl groups requires a “di” or “tri”
prefix before the alkyl group name cyclic hydrocarbons have the carbon ring become the parent chain, and the
prefix “cyclo” is used before the parent name
GENERAL FORMULA
– C – C –
EXAMPLE(S)
propane CH3 – CH2 – CH3
cyclohexane CH2
CH2 CH2
| | CH2 CH2
CH2
POLARITY non-polarFORCES dispersion forces
BOILING POINT
relatively low increases with chain length straight chains have higher b.p.s than branched chains
SOLUBILITY immiscible in water and other polar solvents
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REACTIONS
combustion C3H8 + 5 O2 3 CO2 + 4 H2O
substitution (halogenation)1) CH4 + Cl2 CH3Cl + HCl2) CH3Cl + Cl2 CH2Cl2 + HCl
ALKENES
DEFINITIONa hydrocarbon that contains at least one carbon-carbon double bond; general formula, CnH2n
NAMING
prefix referring to number of carbons in the longest continuous chain that contains the double bond + “-ene” alkyl groups are named in alphabetical order, numbered from the end
that is closest to the double bond
GENERAL FORMULA
| | – C = C –
EXAMPLE(S) propene CH2 = CH – CH3
POLARITY non-polarFORCES dispersion forces
BOILING POINT relatively lowSOLUBILITY immiscible in water and other polar solventsREACTIONS halogenation (with Br2, Cl2, etc.)
ethene + bromine 1,2 – dibromoethane Br Br
CH2 = CH2 + Br2 CH2 – CH2
hydrogenation (with H2)ethyne + hydrogen ethane H H
CH2 = CH2 + 2 H2 CH2 – CH2
H Hhydrohalogenation (with hydrogen halides) propene + hydrogen bromine 2-bromopropane H Br | |H – C = CH – CH3 + HBr H – C – CH – CH3
| | H H
room temperature
catalyst, heat, pressure
room temperature
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hydration (with H2O) 1-butene + water 2-butanol
CH3 – CH2 – CH = CH2 + HOH CH3 – CH2 – CH – CH2
OH H
MARKOVNIKOV’S RULE
“The rich get richer” … when a hydrogen halide or water is added to an alkene or alkyne, the hydrogen atom bonds to the carbon atom within the double bond that already has more hydrogen bonds.
GEOMETRIC ISOMERS
a cis isomer has both alkyl groups on the same side of the molecular strucutre
CH3 CH3
C = C cis-2-butene
H H
a trans isomer has alkyl groups on the opposite side of the molecular strucutre
CH3 H C = C trans-2-butene
H CH3
ALKYNES
DEFINITIONa hydrocarbon that contains at least one carbon-carbon triple bond; general formula, CnH2n-2
NAMING
prefix referring to number of carbons in the longest continuous chain that contains the triple bond + “-yne” alkyl groups are named in alphabetical order, numbered from the end that is
closest to the triple bond
GENERAL FORMULA – C ≡ C –
EXAMPLE(S) propyne CH ≡ C – CH3
POLARITY non-polarFORCES dispersion forcesBOILING POINT
relatively low
SOLUBILITY immiscible in water and other polar solventsREACTIONS Same as Alkenes (resulting in double bonds rather than single)
AROMATIC HYDROCARBONS
H2SO4 catalystPREPARATION REACTION FOR ALCOHOLS
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DEFINITION a compound with a structure based on benzene (a ring of six carbons)
NAMING
consider the benzene ring to be the parent molecule alkyl groups are named to give the lowest combination of numbers, with no
particular starting carbon (as it is a ring) when it is easier to consider the benzene ring as an alkyl group, we use the
name “phenyl” to refer to it
GENERAL FORMULA
EXAMPLE(S)
methylbenzene
POLARITY non-polarFORCES dispersion forcesBOILING POINT
relatively low
SOLUBILITY immiscible in water and other polar solventsREACTIONS Same as Alkanes (performs substitution reactions)
ORGANIC HALIDES
DEFINITIONa compound of carbon and hydrogen in which one or more hydrogen atoms have been replaced by halogen atoms
NAMINGhalogen atoms are considered to be attachments to the parent chain and are numbered and named with a prefix as such
GENERAL FORMULA
R – X
EXAMPLE(S)
H H | |1,2-dichloroethane H – C – C – H | | Cl Cl
Cl1,2-dichlorobenzene Cl
POLARITY polar (due to halogen atom)FORCES dispersion forces (increased strength b/c of carbon-halogen bonds)BOILING POINT
higher than the corresponding hydrocarbons
SOLUBILITY more soluble in polar solvents
CH3
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REACTIONS
addition ethylene + hydrogen idodie 1-iodoethene H I | | H – C ≡ C – H + H – I H – C = C – H
substitution ethane + chlorine 1-chloroethane + hydrogen chloride H Cl CH3 – CH3 + Cl – Cl H – C – C – H + H – Cl
H Helimination 2-bromopropane + hydroxyl group propene + bromine ion + water H Br H H H H | | | H – C – C – C – H + OH- H – C – C = C – H + Br- + H2O
H H H H
ALCOHOLS
DEFINITION
an organic compound characterized by the presence of a hydroxyl functional group (OH-)
NAMING
the “e” ending of the parent hydrocarbon is changed to “ol” to indicate the presence of the OH- group
the chain is numbered to give the OH- group the smallest possible number when there is more than one OH- group, the endings “diol” and “triol” are
used, and each is indicated with a numerical prefix, however the “e” ending remain then (e.g., 1,3-propanediol)
GENERAL FORMULA
R – OH
EXAMPLE(S)
propanol CH3 – CH2 – CH2 – OH
phenol
POLARITY polar (due to hydroxyl group)FORCES hydrogen bonding and dispersion forcesBOILING high (due to capacity for hydrogen bonding)
O
< 109.5°
O
H S+
S-
OH
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POINTSOLUBILITY very soluble in polar solvents and nonpolar solvents (due to OH- group)
hydration (preparation) 1-butene + water 2-butanol
CH3 – CH2 – CH = CH2 + HOH CH3 – CH2 – CH – CH2
OH H dehydration (elimination)
propanol propene + water
CH3 – CH – CH2 CH3 – CH = CH2 + HOH
OH H
1°, 2°, AND 3° ALCOHOLS
Primary Alcohol (1°) CH3 – CH2 – OH 1 other carbon group attached to carbon with OH OH Secondary Alcohol (2°) CH3 – CH – CH3
2 other carbon groups attached to carbon with OH OH
Tertiary Alcohol (3°) CH3 – C – CH3
3 other carbon groups attached to carbon with OH CH3
ETHERS
DEFINITION
an organic compound with two alkyl groups (the same or different) attached to an oxygen atom
NAMING
the longer of the two alkyl groups is considered the parent chain the other alkyl group with the oxygen is considered to be the substituent
group (with prefix of carbons and “oxy”) numbering of C atoms starts at the O propane ethoxy
CH3CH2CH2 – O – CH2CH3
3 2 1 1 2
ethoxypropaneGENERAL FORMULA
R – O – R΄
H2SO4 catalyst
H2SO4 catalyst
O
116°
O
C S+
S-C
C
C
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EXAMPLE(S) methoxyethane CH3 – O – CH2 – CH3
POLARITY polar (due to the V-shape and C - O bonds)FORCES dispersion forcesBOILING POINT
medium (higher than hydrocarbons, lower than alcohols of similar length)
SOLUBILITY soluble in polar solvents and nonpolar solventscondensation (preparation) * addition of two alcohols (same or different) *
methanol + methanol methoxymethane + water
CH3 – OH + CH3 – OH CH3 – O – CH3 + HOHALDEHYDES
DEFINITIONan organic compound that contains the carbonyl group (–C=O) on the end carbon of a chain
NAMING the “e” ending of the parent hydrocarbon is changed to “al” to indicate the presence of the R-C=O
GENERAL FORMULA
O ||
R[H] – C – H
EXAMPLE(S)
O ||propanal CH3 – CH2 – C – H
POLARITY polar (due to carbonyl group)FORCES dispersion forcesBOILING POINT
medium (higher than ethers, lower than alcohols of similar length)
SOLUBILITY similar solubility to alcoholsREACTIONS oxidation (preparation)
1° alcohol + mild oxidizing agent aldehyde + water
ethanol + (O) ethanal + water
OH O | ||CH3 – C – H + (O) CH3 – C – H + HOH | H
H2SO4 catalyst
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reduction (hydrogenation)
aldehyde + hydrogen 1° alcohol
proponal + hydrogen 1-propanol
O OH CH3 – CH2 – C – H + H2 CH3 – CH2 – C – H
KETONES
DEFINITIONan organic compound that contains the carbonyl group (–C=O) on a carbon other than those on the end of a carbon chain (in the middle)
NAMING the “e” ending of the parent hydrocarbon is changed to “one”
GENERAL FORMULA
O ||
R – C – R΄
EXAMPLE(S)
O ||propanone (acetone) CH3 – C – CH3
POLARITY polar (due to carbonyl group)FORCES dispersion forcesBOILING POINT
medium (higher than ethers, lower than alcohols of similar length)
SOLUBILITY similar solubility to alcohols
REACTIONS
oxidation (preparation)
2° alcohol + oxidizing agent ketone + water
2-propanol + (O) propanone + water
OH O || CH3 – C – CH3 + (O) CH3 – C – CH3 + HOH H
reduction (hydrogenation)
ketone + hydrogen 2° alcohol
butanone + hydrogen 2-butanal
O OH CH3 – CH2 – C – CH3 + H2 CH3 – CH2 – C – CH3
NOTE: Tertiary alcohols do not undergo oxidation reactions; no H atom is available on the central C atom.
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CARBOXYLIC ACIDS
DEFINITION
one of a family of organic compounds that is characterized by the presence of a carboxyl group: – C O – H
NAMING the “e” ending of the parent alkane is changed to “oic acid” numbering starts with the C of the carboxyl group
GENERAL FORMULA
O ||
R[H] – C – OH
EXAMPLE(S)
CH2CH3
4-ethyl-3-methylhexanoic acid CH3 – CH2 – CH – CH – CH2 – COOH
CH3
POLARITY polar (due to carboxyl group)FORCES dispersion forces and hydrogen bondingBOILING POINT
very high (higher than hydrocarbons of similar length due to –CO and –OH groups)
SOLUBILITY similar solubility to alcohols
REACTIONS
dissolution in water (proof of acidity)
ethanoic acid + water carboxylate ion + hydronium ion
CH3COOH + H2O CH3COO- + H3O+
O – CH3 – C * shares the double bond Ooxidation (with weak oxidizer)
1) 1° alcohol + weak oxidizing agent aldehyde + water2) aldehyde + weak oxidizing agent carboxylic acid + water O 1) CH3 – CH2 – OH + Cr2O7
2- + H+ CH3 – C – H + H2O + Cr3+
O
2) CH3 – C – H + Cr2O72- + 2 H+ 3 CH3 – COOH + 4 H2O
oxidation (with strong oxidizer)
1° alcohol + strong oxidizing agent carboxylic acid + water
ethanol + oxidizing agent + hydrogen ethanoic acid + water + manganese dioxide O 3 CH3 – CH2 – OH + 4 MnO4
- + 4 H+ 3 CH3 – C – OH + 5 H2O + 4 MnO2
O
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NOTE: Ketones are not readily oxidizing, as in the oxidation of aldehydes.
ESTERS
DEFINITIONan organic compound characterized by the presence of a carbonyl group bonded to an oxygen atom
NAMING the group that is attached to the double-bonded O becomes the parent chain
with the “e” ending changed to “oate” the other group is named as a substituent group
GENERAL FORMULA
O ||
R[H] – C – O – R΄
EXAMPLE(S)
2-methylbutyl propanoate O CH3
CH3 – CH2 – C – O – CH2 – CH – CH2 – CH3
POLARITY less polar than carboxylic acids (loss of OH- group)FORCES dispersion forcesBOILING POINT
medium (lower than carboxylic acids, higher than aldehydes / ketones of similar length due to extra O)
SOLUBILITY less soluble than acids
REACTIONS
condensation (formation)
carboxylic acid + alcohol ester + water
ethanoic acid + methanol methyl ethanoate + water O O || || CH3 – C – OH + CH3 – OH CH3 – C – O – CH3 + H2O
hydrolysis (saponification)
ester + NaOH sodium salt of acid + alcohol
O O
R – C – O – R΄ + Na+ + OH- R – C – O- + Na+ + R΄ – OH
NOTE: Esters generally have nice odours and are used to create artificial flavours.
AMINES
DEFINITIONan ammonia molecule in which one or more H atoms are substituted by alkyl or aromatic groups
NAMING1) nitrogen group is named as a substituent group using “amino-”2) alkyl group is named as a substituent group from “-amine”
GENERAL FORMULA R΄ [H]
| R – N – R΄΄ [H]
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EXAMPLE(S)
1) 1-aminopropane NH2
2) propylamine CH2 – CH2 – CH3
N-ethyl-N-methyl-1-aminobutane
CH2CH3
|CH3 – N – CH2 – CH2 – CH2 – CH3
POLARITY polar (not as polar as alcohols, because N is less polar than O)FORCES dispersion forces and N-H bondsBOILING POINT
medium (lower than alcohols of similar length, higher than hydrocarbons)
SOLUBILITY soluble in water
REACTIONS
formation
alkyl halide + ammonia amine + ammonium halide
iodoethane + ammonia aminoethane + ammonium iodide
CH3 – CH2 – I + 2 NH3 CH3 – CH2 – NH2 + NH4I
1°, 2°, AND 3° AMINES
Primary Amine (1°) CH3 – N – H 1 alkyl group attached to N | H methylamine
Secondary Amine (2°) CH3 – N – CH3
2 alkyl groups attached to N | H dimethylamine Tertiary Amine (3°) CH3 – N – CH3
3 alkyl groups attached to N | CH3 trimethylamine
AMIDES
DEFINITIONan organic compound characterized by the presence of a carbonyl functional group (C=O) bonded to a nitrogen atom
NAMINGalkyl group attached to double-bonded O is considered to be the substituent group, attached to the parent “-amide”
GENERAL FORMULA
O R΄΄ [H] || |
R[H] – C – N – R΄ [H]
EXAMPLE(S) O ||
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propanamide CH3 – CH2 – C – NH2
POLARITY slightly more polar than amine of similar length (extra O)FORCES dispersion forces and N-H bondsBOILING POINT
same as amines
SOLUBILITY soluble in water
REACTIONS
formation
carboxylic acid + amine amide + water
ethanoic acid + ammonia ethanamide + water O H O || | || CH3 – C – OH + H – N – H CH3 – C – NH2 + HOH
EXAMPLE OF A STEPPED SYNTHESIS REACTIONWrite a series of equations for a method of synthesis for N-ethylethanamide from an alkane and ammonia.1. ethane + chlorine chloroethane + hydrogen chloride CH3 – CH3 + Cl – Cl CH3 – CH2 + H – Cl
| Cl
2. chloroethane + water ethanol + hydrogen chloride CH3 – CH2 HOH CH3 – CH2 + H – Cl
| | Cl OH
3. ethanol + strong oxidizer ethanoic acid + water + manganese dioxide CH3 – CH2 + MnO4
- CH3 – C – OH + HOH + MnO2
| || OH O4. chloroethane + ammonia aminoethane + ammonium chlorine CH3 – CH2 + 2 H – N – H CH3 – CH2 – NH2 + NH4Cl | | Cl H5. ethanoic acid + aminoethane N-ethylethanamide + water O H || | CH3 – C – OH + CH3 – CH2 – NH2 CH3 – C – N – CH2 – CH3 + HOH || O
COMMON NAMES
COMMON NAME IUPAC NAME
COMMON NAME IUPAC NAME
ethylene ethene formic acid carboxyl group (COOH)propylene propene acetic acid ethanoic acidacetylene ethyne toluene / phenyl methane methyl benzene
formaldehyde methanal acetate ethanoateacetaldehyde ethanal acetamide ethanamide
acetone propanone
H2SO4 catalyst
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FLOW CHART OF ORGANIC REACTIONS
CHAPTER 2: POLYMERS
polymer – a molecule of large molar mass that consists of many repeating subunits called monomers; two types: addition and condensation
monomer – a molecule or compound usually containing carbon and of relatively low molecular weight and simple structure which is capable of conversion to polymers by combination with itself or other similar molecules or compounds
dimer – a molecule made up of two monomers
ADDITION POLYMERS addition polymer – a polymer formed when monomer units are linked through addition
reactions; all atoms present in the monomer are retained in the polymer
alkene + alkene polymer
| | | | | | | | | | C = C + C = C – C – C – C – C – or – C – C – | | | | | | | | | | n
less reactive than their monomers, because the unsaturated alkene monomers have been transformed into saturated carbon skeletons of alkanes
forces of attraction are largely van der Waals attractions, which are individually weak, allowing the polymer chains to slide along each other, rendering them flexible and stretchable
CONDENSATION POLYMERS condensation polymer – a polymer formed when monomer units are linked through
condensation reactions; a small molecule is formed as a byproduct
monomer
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polyester – a polymer formed by condensation reactions resulting in ester linkages between monomers
dialcohol + dicarboxylic acid polyester (dimer) + water O O O O || || || || HO – CH2 – CH2 – OH + C – C – O – CH2 CH2 – O – C – C – + 2 H2O
| | n
HO OH
polyamide – a polymer formed by condensation reactions resulting in amide linkages between monomers; also known as a nylon
diamine + dicarboxylic acid polyamide (dimer) + water H H O O H H O O | | || || | | || || N – CH2 – N + C – C – N – CH2 – N – C – C – + 2 H2O
| | | | n
H H HO OH
COMPOUNDS OF LIFE protein – a large complex molecule made up of one or more chains of amino acids (an amino
group and carboxyl group attached to the same carbon atom)– perform a wide variety of activities in the cell, including muscular growth, cellular
repair, and serve as building blocks for all body tissue
O ||– NH – CH – C – | n
R
carbohydrate – a compound of carbon, hydrogen, and oxygen, with a general formula Cx(H2O)y
– a major source of food energy, including sugars, starches, and cellulose– produced through photosynthesis in plants– provides an equivalent amount of energy as an equal mass of fatty acids
fat – known chemically as a triglyceride (an ester of three fatty acids which are long-chain carboxylic acids and one glycerol molecule)
– serves as a storage system, reserve supply of energy, and insulation
glycerol + fatty acids fat (triglyceride) H O O
| 3 || ||H – C – OH HO – C – R H – C – O – C – R | |H – C – OH H O | ||H – C – OH H – C – O – C – R’
|
SCH 4U REVIEW 16 of 39 H O ||H – C – O – C – R”
| H
nucleic acid – hereditary information stored in all living cells from which the information can
be transferred; the chief types being DNA and RNA– DNA is created from four different nucleotides (monomer consisting of a ribose
sugar, a phosphate group, and one of four possible nitrogenous bases)– carries the genetic information that encodes proteins and enables cells to
reproduce and perform their functions
nitrogenous phosphate base
sugar
CHAPTER 3: ATOMIC THEORY
THE BOHR ATOMIC THEORY electrons travel in the atom in circular orbits with quantized energy – energy is restricted to
only certain discrete quantities there is a maximum number of electrons allowed in each orbit electrons “jump” to a higher level when a photon (a quantum of light energy) is absorbed,
resulting in absorption spectrum (series of dark lines) electrons “drop” to a lower level when a photon is emitted, resulting in bright-line spectrum
(series of bright lines)
ORBITS VS. ORBITALS orbit – 2-D path; fixed distance from nucleus; circular or elliptical path; 2n2 electrons per orbitorbital – 3-D region in space; variable distance from nucleus; no path and varied shape of
region; 2 electrons per orbital; predicted by Schrodinger’s equation
QUANTUM NUMBERS TO DESCRIBE ORBITALS n – principal quantum number or energy levell – secondary quantum number or subshell (s, p, d, or f)m1 – magnetic quantum number (direction of the electron orbit)m2 – spin quantum number (can only be +½ or –½ to describe spin of electron)
VALUE OF l SUBLEVEL SYMBOL
NUMBER OF ORBITALS
MAX. NUMBER OF ELECTRONS
PRESENT AT n =
0 s 1 2 1-71 p 3 6 2-72 d 5 10 3-73 f 7 14 4-7
6p
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CREATING ENERGY-LEVEL DIAGRAMS energy-level diagram – interpretation of which orbital energy levels are occupied by electrons
for a particular atom or ion; also called an orbital diagram
e.g., 9F
2p
2s
1s
RULES FOR ENERGY-LEVEL DIAGRAMS
Start adding electrons to the lowest energy level (1s) and build up from the bottom until the limit on the number of electrons for the particle is reached – the aufbau principle
To obtain the correct order of orbitals for any atom, start at the hydrogen and move from left to right across the periodic table, filling the orbitals; see below:
32 e- 6s5d
4f
18 e- 5s
5p
18 e- 4s
8 e- 3s
8 e- 2s
2 e- 1s
4p
3p
2p
4d
3d
n (primary quantum number or energy level)
l (secondary quantum number or sublevel)
m1 (one orbital is distinguished from another at the same sublevel)m2 (spin)
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For anions, add extra electrons to the number for the atom. For cations, do the neutral atom first, and then subtract the required number of electrons from the orbitals with the highest principle quantum number, n (i.e., you would remove the electrons from 4s, rather than 3d.)
Each orbital will hold a maximum of two electrons that spin in opposite directions – the Pauli exclusion principle
Electrons must be distributed among orbitals of equal energy so that as many electrons remain unpaired as possible – Hund’s rule
Half-filled and filled subshells are more stable than unfilled subshells as the overall energy state of the atom is lower after the electron is promoted to a lower energy level:
Predicted Actual
Cr: [Ar] Cr: [Ar]
Cu: [Ar] Cu: [Ar]
4s 3d 4s 3dELECTRON CONFIGURATION electron configuration – a method for communicating the location and number of electrons in
electron energy levels
e.g., O: 1s2 2s2 2p4
3p5 S2-: 1s2 2s2 2p6 3s2 3p6
shorthand electron configuration – when the electron configuration is written with the preceding noble gas placed before the subshell information (e.g., Cl: 1s2 2s2 2p6 3s2 3p5 becomes Cl: [Ne] 3s2 3p5)
isoelectronic – when two atoms/ions have the same electron configuration (e.g., Ne, F-, Na+)
ferromagnetism – exhibited by the metals iron, cobalt, nickel and a number of alloys that become magnetized in a magnetic field and retain their magnetism when the field is removed
paramagnetism – exhibited by materials like aluminum or platinum that become magnetized in a magnetic field but it disappears when the field is removed (caused by unpaired electrons)
QUANTUM MECHANIC THEORY quantum mechanics – the current theory of atomic structure based on wave properties of
electrons; also known as wave mechanicsHeisenberg uncertainty princple – it is impossible to simultaneously know exact position and
speed of a particle
principal quantum number
orbital
number of electrons in orbital(s)
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electron probablity density – a mathematical or graphical representation of the chance of finding an electron in a given space; see below for example of a 2s orbital:
CHAPTER 4: CHEMICAL BONDING
chemical bond – formed as the result of the simultaneous attraction of two or more nuclei
TYPES OF BONDS 1. Ionic Bonding – when one atom has low ionization energy and low En, while the other has
high ionization energy and high En (i.e., metal and nonmetal)– Δ En > 1.7– the electrostatic attraction between positive and negative ions
2. Covalent Bonding – when both atoms have high ionization energy and high En (i.e., two nonmetals)
– Δ En ≤ 1.7– the sharing of valence electrons between atomic nuclei
3. Metallic Bonding – when both atoms have low ionization energy and low En (i.e., two metals)
LEWIS THEORY OF BONDING Atoms and ions are stable if they have a noble gas-like electron structure (i.e., a stable octet
of electrons). Electrons are most stable when they are paired. Atoms form chemical bonds to achieve a stable octet of electrons. A stable octet may be achieved by an exchange of electrons between metal and nonmetal
atoms. A stable octet may be achieved by the sharing of electrons between nonmetal atoms,
resulting in a covalent bond.
LEWIS STRUCTURES Lewis structure – a symbolic depiction of the distribution of valence electrons in a molecule
1. Arrange atoms symmetrically around the central atom (usually listed first in the formula, not usually oxygen and never hydrogen).
2. Count the number of valence electrons of all atoms. For polyatomic ions, add electrons corresponding to the negative charge, and subtract electrons corresponding to the positive charge on the ion.
3. Determine the number of valence electrons all the atoms “want”, and subtract the number of valence electrons it has (result from step 2). Divide this number by 2 to determine the number of bonds the molecule will have.
SCH 4U REVIEW 20 of 39
4. Place a bonding pair of electrons between the central atom and each of the surrounding atoms.
5. Complete the octets of the surrounding atoms using lone pairs of electrons. Remember hydrogen (2 e-), beryllium (4 e-), and boron (6 e-) are the exceptions. Any remaining electrons go on the central atom.
6. If the central atom does not have an octet, move lone pairs from the surrounding atoms to form double or triple bonds until the central atom has a complete octet. Confirm the number of bonds is correct by comparing it to the result in step 3.
7. Draw the Lewis structure and enclose polyatomic ions within square brackets showing the ion chare.
e.g., SO3
S O3
has 6 3 (6) 6 + 18 = 24 e-
wants 8 3 (8) 8 + 24 = 32 e-
difference = 8 e-
= 4 bonds
VALENCE BOND THEORY Covalent bonds form when atomic or hybrid orbitals with one electron overlap to share e-. Bonding occurs with the highest energy (valence shell) electrons. Normally, the s orbitals (sphere shape) and p orbitals (dumb-bell shape) overlap with each
other to form bonds between atoms. sp3, sp2, and sp hybrid orbitals are formed from one s orbital and three, two, and one p
orbital, respectively, with orientations of tetrahedral (109.5°), trigonal planar (120°), and linear (180°), respectively.
End-to-end overlap of orbitals or single covalent bonds is called a sigma (σ) bond. Side-by-side overlap of unhybridized p orbitals is called a pi (Π) bond (weaker than σ bond). Double bonds have one pi bond, while triple bonds have two pi bonds.
VSEPR THEORY Valence-Shell Electron-Pair Repulsion Theory – pairs of electrons in the valence shell of an atom stay as far apart as possible to minimize repulsion of their negative charges
1. Draw the Lewis structure for the molecule, including the e- pairs around the central atom.2. Count the total number of bonding pairs and lone pairs of electrons around the central atom.3. Use the table below to predict the shape of the molecule.# OF e- PAIRS
AROUND CENTRAL
ATOM
ORIENTATION OF
ELECTRON PAIRS
NUMBER OF BONDING AND LONE
PAIRS
BOND ANGLES
SHAPE EXAMPLEMOLECULAR GEOMETRY
2 linear 2 BP, 0 LP 180° linear BeF2 X – A – X
S
O O
O
. . .
SCH 4U REVIEW 21 of 39
3 triangular planar 3 BP, 0 LP 120° trigonal
planar BF3
X|A
X X
4
tetrahedral 4 BP, 0 LP 109.5° tetrahedral CH4
X|A
X X X
tetrahedral 3 BP, 1 LP < 109.5° trigonal pyramidal
NH3
PCl3A
X X X
tetrahedral 2 BP, 2 LP < 109.5° v-shaped or bent
H2OOF2
A
X X tetrahedral 1 BP, 3 LP 180° linear HCl A – X
5 trigonal bipyramidal 5 BP, 0 LP 120° &
90°trigonal
bipyramidal PCl5
X X | X
A | X
X
6 octahedral 6 BP, 0 LP 90° octahedral SF6
X X | X
A X | X X
e.g., HOF(l) . . H : O : F : 2 BP and 2 LP, therefore HOF(l) is v-shaped:
O H F
Note: – ions are treated in the same way, but square brackets are placed around the diagram with the charge placed in the upper right hand corner
– double and triple bonds are treated as one group of electrons when using VSEPR theory, and most of those molecules take the same shape as their Lewis structure
POLAR MOLECULES bond dipole – the electronegativity difference of two bonded atoms represented by an arrow
pointing from the lower (∂+) to the higher (∂-) electronegativity
nonpolar molecule – a molecule that has either nonpolar bonds (≤0.5 Δ En) or polar bonds whose bond dipoles cancel to zero (i.e., VSEPR diagram is symmetrical)
polar molecule – a molecule that has polar bonds with dipoles that do not cancel to zero
e.g., NH3 . . N 3.0
2.1 H H 2.1 therefore, it is a polar molecule H 2.1 INTERMOLECULAR FORCES intermolecular force – the force of attraction and repulsion between molecules; much weaker
than covalent bonds
∂-
∂+∂+
∂+
SCH 4U REVIEW 22 of 39
dipole-dipole force – a force of attraction due to the simultaneous attraction of one dipole by its surrounding dipoles
– the more polar the molecules, the stronger the force– the shape of the molecule also affect
the dipole-dipole strength (i.e., closer together = stronger force)
London dispersion force – the simultaneous attraction of an electron by the positive nuclei in the surrounding molecules
– the greater the number of electrons per molecule, the stronger the force
As dipole-dipole force or London dispersion force increases, the boiling point increases, allowing you to predict relative boiling point, if one of the forces is the same between the two substances, or if both forces are moving in the same direction.
hydrogen bonding – the attraction of a hydrogen atom to a lone pair of electrons in N, O, or F atoms in adjacent molecules (possible because H has no valence e- to “shield” nucleus)
. . . .H – F : ------------ H – F :
STRUCTURE AND PROPERTIES OF CRYSTALLINE SOLIDS
CRYSTAL PARTICLESFORCE/BOND
PROPERTIES
EXAMPLESMELTING POINT
CONDUC-TIVITY
SOLUBILITY IN LIQUID/SOLUTION
Ionic
ions(+ and -) ionic
medium (higher as
ionic charge
increases, size of ion decreases)
yes yes
NaCl, Na3PO4, CaF2,
MgO, CuSO4•5H2O
Metallic
cations
metallic (fixed
nuclei with mobile
delocalized electrons,
allowing for conduction of heat and electricity)
high(higher as number of
valence electrons increases)
yes noPb, Fe,
Cu, Al, Ag, Au
SCH 4U REVIEW 23 of 39
Polar Molecular
molecules
London, dipole-dipole,
hydrogen
low(higher as number of electrons, polarity of molecules,
and presence
of hydrogen
bonds increases)
no
yesPF3, ICl,
CHCl3, H2O, NH3, SO3
Nonpolar Molecularmolecules or single
atomsno
inert gases, diatomic elements,
CO2, CCl4, SF6, BF3
Covalent Network Crystal
atoms
covalent (a 3-D
arrangement of strong covalent bonds
between atoms;
resulting in hardness and high melting
point)
very high(melting
point increases
as strength of
covalent bonds
increase )
no no
diamond, SiC, AlN, BeO,
SiO2, CuCl2, Mg2S
NETWORK SOLIDS (AKA “SUPERMOLECULES”) ALLOTROPES OF CARBON:
a) diamond – a 3-D network solid– each C atom is in the centre of a tetrahedron whose vertices are occupied by
other C atoms– each C atom shares its valence e- with 4 other C atoms– bonding e- are tightly bound and highly localized
a) graphite – a 2-D network solid– each C atom is surrounded by a 3 others in a plane– the double bond consists of delocalized electrons, therefore a good conductor– separate layers are held together by dispersion forces and are easily separated
SILICA AND THE SILICATES:
silicon combines with oxygen to form silicon dioxide, SiO2 (silica) it further reacts with metal compounds to produce metal silicates
a) quartz – a 3-D network solidb) mica – a 2-D network solidc) asbestos – a 1-D network solid
CHAPTER 5: THERMOCHEMISTRY
thermochemistry – the study of the energy changes that accompany physical or chemical changes of matter
thermal energy – energy available from a substance as a result of the motion of its molecules
SCH 4U REVIEW 24 of 39
chemical system – a set of reactants and products under study, usually represented by a chemical equation
surroundings – all matter around the system that is capable of absorbing or releasing thermal energy
heat – amount of energy transferred between substances
exothermic – releasing thermal energy as heat flows out of the system; negative molar enthalpy
endothermic – absorbing thermal energy as heat flows into the system; positive molar enthalpy
temperature – average kinetic energy of the particles in a sample of matter
open system – one in which both matter and energy can move in or out (e.g., burning marshmallow)
isolated system – an ideal system in which neither matter nor energy can move in or out (e.g., ideal calorimeter)
closed system – one in which energy can move in or out, but not matter (e.g., realistic calorimeter)
calorimetry – the process of measuring energy changes in a chemical system
enthalpy change (ΔH) – the difference in enthalpies of reactants and products during a change
q = quantity of heat (J) = m c ΔT
MOLAR ENTHALPY molar enthalpy (ΔHx) – the enthalpy change associated with a physical, chemical, or nuclear
change involving one mole of a substance; examples are below:
TYPE OF MOLAR ENTHALPY EXAMPLE OF CHANGEsolution (ΔHsol) NaBr(s) Na+
(aq) + Br-(aq)
combustion (ΔHcomb) CH4(g) + 2 O2(g) CO2(g) + H2O(l)
vaporization (ΔHvap) CH3OH(l) CH3OH(g)
freezing (ΔHfr) H2O(l) H2O(s)
neutralization (ΔHneut) 2 NaOH(aq) + H2SO4(aq) 2 Na2SO4(aq) + 2 H2O(l)
formation (ΔHf) C(s) + 2 H2(g) + ½ O2(g) CH3OH(l)
ΔH = n ΔHvap or sol = mcΔT ΔH = q n
ASSUMPTIONS USED IN CALORIMETRY:1. No heat is transferred between the calorimeter and the outside environment.2. Any heat absorbed or released by the calorimeter materials is usually negligible.3. A dilute aqueous solution is assumed to have a density and specific heat capacity equal to
that of pure water (1.00 g/mL and 4.18 J/g•°C).
LAB: COMBUSTION OF ALCOHOLS Mass of Fuel Burned: 1.41 g Mass of Water Heated: 97.00 g Mass of Water Vapourized: 0.18 g Mass of Pop Can: 16.07 g
mn M
E p (k
J)
SCH 4U REVIEW 25 of 39
Temperature Change of Water: 22.2 °C
Heat Absorbed by Water: q = m c Δt = (97.00 g) (4.18 J / g · °C) (22.2 °C) = 9.00 x 103 J
Heat Absorbed by Can: q = m c Δt = (16.07 g) (0.900 J / g · °C) (22.2 °C) = 321 J
Heat Used to Vapourize Water: q = m · LV
= (0.18 g) (2268 J / g) = 4.0 x 102 J
Total Heat Evolved by Fuel: qtotal = (9.00 x 103 J) + (321 J) + (4.0 x 102 J) = 9.72 x 103 J = 9.72 kJ
Number of Moles of Fuel: n = m M = 1.41 g 60.11 g / mol = 0.0235 mol
Molar Heat of Combustion of Fuel: ΔH = qtotal
n = 9.72 kJ 0.0235 mol = 414 kJ/mol
% error: 100% – experimental enthalpy x 100% actual enthalpy
= 100% – 414 kJ x 100% 490 kJ = 15.5%, therefore unacceptable (>10%)
REPRESENTING ENTHALPY CHANGES METHOD 1: THERMOCHEMICAL EQUATIONS WITH ENERGY TERMSe.g., C6H12O6(s) + 6 O2(g) 6 CO2(g) + 6 H2O(l) + 2802.7 kJ
METHOD 2: THERMOCHEMICAL EQUATIONS WITH ΔH VALUESe.g., C6H12O6(s) + 6 O2(g) 6 CO2(g) + 6 H2O(l) ΔH = -2802.7 kJ
METHOD 3: MOLAR ENTHALPIES OF REACTIONe.g., ΔHrespiration = -2802.7 kJ/mol glucose
METHOD 4: POTENTIAL ENERGY DIAGRAMe.g.,
SCH 4U REVIEW 26 of 39
STANDARD ENTHALPY OF FORMATION standard enthalpy of formation (ΔH°
f) – the quantity of energy associated with the formation of one mole of a substance from its elements in standard state; zero for elements in standard state
HESS’S LAW (ADDITIVITY OF REACTION ENTHALPIES) Hess’s law – the value of the ΔH for any reaction that can be written in steps equals the sum of
the values of ΔH for each of the individual steps (i.e., ΔHtarget = Σ ΔHknown)e.g. Determine the enthalpy change involved in the formation of two moles nitrogen monoxide from
its elements.
N2(g) + O2(g) 2 NO(g)
(1) ½ N2(g) + O2(g) NO2(g) ΔH°1 = +34 kJ
(2) NO(g) + ½ O2(g) NO2(g) ΔH°2 = -56 kJ
2 x (1): N2(g) + 2 O2(g) 2 NO2(g) ΔH°1 = 2(+34) kJ
-2 x (2): 2 NO2(g) 2 NO(g) + O2(g) ΔH°2 = -2(-56) kJ
N2(g) + O2(g) 2 NO(g) ΔH° = +68 kJ + 112 kJ = +180 kJUSING STANDARD ENTHALPIES OF FORMATION TO DETERMINE ΔH
ΔH = Σ nΔH°f (products) – Σ nΔH°
f (reactants)
e.g., MULTI-STEP CALCULATION
If 3.20 g of propane burns, what temperature change will be observed if all of the heat from combustion transfers into 4.0 kg of water?
C3H8(g) + 5 O2(g) 3 CO2(g) + 4 H2O(l)
ΔH°f (CO2) = -393.5 kJ/mol
ΔH°f (H20) = -285.8 kJ/mol
ΔH°f (C3H8) = -104.7 kJ/mol
ΔH°f (O2) = 0.0 kJ/mol
mpropane = 3.20 gmH2O = 4.0 kgcH2O = 4.18 J/(g•°C)
ΔH = Σ nΔH°f (products) – Σ nΔH°
f (reactants)
= 3 mol x -393.5 kJ + 4 mol x -285.8 kJ – 1 mol x -104.7 kJ + 5 mol x 0.0 kJ 1 mol 1 mol 1 mol 1 mol = -2219 kJ
ΔHc (propane) = qwater
n ΔHc = mcΔT
ΔT = n Δ H c
mc
SCH 4U REVIEW 27 of 39 = mpropane ΔHc
Mpropane mwater c
= (3.20 g) (2219 kJ) (44.11 g) (4.0 kg) (4.18 J/g•°C)
= 9.6°C
CHAPTER 6: CHEMICAL KINETICS
chemical kinetics – the area of chemistry that deals with rates of reactionrate of reaction – the speed at which a chemical change occurs, generally expressed in
concentration per unit time, such as mol/(L•s)rate = Δc Δtaverage rate of reaction – the speed at which a reaction proceeds over a period of time;
determined using slope of a secant (line between two points)instantaneous rate of reaction – the speed at which a reaction is proceeding at a particular point
in time; determined using a tangent METHODS TO MEASURE RATE: pH change; conductivity; volume of gas produced; change in
mass of products; change in colour
RATE LAW EQUATION
r = k [X]m [Y]n k = rate constant; valid only for a specific temperature[X] and [Y] = concentrations of reactants
m and n = order of reaction (describes the initial concentration dependence of a particular reactant)
overall order of reaction – the sum of the exponents in the rate law equatione.g., r = k[BrO3(aq)
-]1 [HSO3(aq)-]2, therefore overall order is 3 (1 + 2)
zeroth-order reaction – the rate does not depend on [A]e.g., if the initial concentration of A is doubled, the rate will multiply by 1 (20), and so will be unchanged
first-order reaction – the rate is directly proportional to [A]e.g., if the initial concentration of A is doubled, the rate will multiply by 2 (21)
second-order reaction – the rate is proportional to the square of [A]
SCH 4U REVIEW 28 of 39e.g., if the initial concentration of A is doubled, the rate will multiply by 4 (22)
e.g.,NO(g) + H2(g) HNO2(g)
EXPERIMENT NO (MOL/L) H2 (MOL/L) INITIAL RATE OF REACTION (MOL/(L•S)
1 0.001 0.004 0.0022 0.002 0.004 0.0083 0.003 0.004 0.0184 0.004 0.001 0.0085 0.004 0.002 0.0166 0.004 0.003 0.024
a) Write the rate law for the reaction.r = k [NO(g)]2 [H2(g)]1
b) Write the overall order of the reaction.3rd order
c) Calculate k for the reaction (use for experiment’s values).r = 0.02 mol/L•s r = k [NO(g)]2 [H2(g)][NO] = 0.001 mol/L (0.02) = k (0.001)2 (0.004)[H2] = 0.004 mol/L k = 5 x 106 L2/(mol2•s)
COLLISION THEORY CONCEPTS OF THE COLLISION THEORY: A chemical system consists of particles (atoms, ions, or molecules) that are in constant
random motion at various speeds. The average kinetic energy of the particles is proportional to the temperature of the sample.
A chemical reaction must involve collisions of particles with each other or the walls of the container.
An effective collision is one that has sufficient energy and correct orientation of the colliding particles so that bonds can be broken and new bonds formed.
Ineffective collisions involve particles that rebound from the collision unchanged. The rate of a given reaction depends on the frequency of collision and the fraction of those
collisions that are effective.
activation energy – the minimum increase in potential energy of a system required for molecules to react
activated complex – an unstable chemical species containing partially broken and partially formed bonds representing the maximum potential energy point in the change; also called the transition state
The units for rate constant, k, are related to overall order of reaction: first order overall, the units are 1/s
or s-1
second order overall, the units are L/(mol•s) or L/(mol-1•s-1)
third order overall, the units are L2/(mol2•s) or L/(mol-2•s-1)
activation
net potential energychange, ΔH
SCH 4U REVIEW 29 of 39
reaction mechanism – a series of elementary steps that makes up an overall reactionelementary step – a step in a reaction mechanism that only involves one-, two-, or three-particle
collisionsrate-determining step – the slowest step in a reaction mechanismreaction intermediates – molecules formed as short-lived products in reaction mechanisms
e.g., HBr(g) + O2(g) HOOBr(g) (slow)HOOBr(g) + HBr(g) 2 HOBr(g) (fast)2 HOBr(g) + HBr(g) H 2O(g) + Br2(g) (fast)4 HBr(g) + O2(g) 2 H2O(g) + 2 Br2(g)
FACTORS AFFECTING RATE OF REACTION 1. NATURE OF THE REACTANTS: each reactant contains a different number of bonds, each with differing bond strengths, that
must be broken for the reaction to proceed each reactant has a different threshold energy (minimum kinetic energy required to convert
kinetic energy to activation energy) each reactant requires a different collision geometry that can be simple or complex
2. TEMPERATURE : an increase in temperature increases the rate of reaction as temperature rises, the reactant particles gain kinetic energy, moving faster, colliding more
frequently, and thus reacting more quickly with a higher temperature, a larger fraction of the molecules will have the required kinetic
energy to have effective collisions3. CONCENTRATION: an increase in reactant concentration increases the rate of reaction the greater the concentration, the greater the number of particles per unit volume, which are
more likely to collide as they move randomly within a fixed space4. SURFACE AREA: an increase in reactant surface area increases the rate of reaction reactants can collide only at the surface where the substances are in contact, and by
increasing the surface area, you are increasing the number of particles in an area, thereby increasing the probability of an effective collision
5. CATALYST: a catalyst is a substance that increases the rate of a chemical reaction without itself being
permanently changed a catalyst provides an alternate “pathway”, with lower activation energy, to the same product
formation, meaning a much larger fraction of collisions are effective the catalyst can help break the bonds in the reactant particles, provide a surface for the
necessary collisions, and allow the reactants’ atoms to recombine in new ways catalysts are involved in the reaction mechanism at some point, but are regenerated before
the reaction is complete
reactionmechanism
elementary step
rate-determining step
reaction intermediate
SCH 4U REVIEW 30 of 39
CHAPTER 7: CHEMICAL SYSTEMS IN EQUILIBRIUM
equilibrium – the balanced state of a reversible reaction or process where there is no net observable change; the rate of the forward reaction equals that of the reverse reaction (A ↔ B)
– can be approached from either side of the reaction equation– the concentration of the reactants and products do not change (are constant)
solubility equilibrium – an equilibrium between a solute and a solvent in a saturated solutionphase equilibrium – an equilibrium between different physical states of a pure substance (e.g.,
ice over a lake)chemical reaction equilibrium – an equilibrium between reactants and products of a chemical
reactionEQUILIBRIUM LAW EQUATION For the general chemical reaction: aA + bB ↔ cC + dD
K = [C] c [D] d where: • A, B, C, D are chemical entities in gas or aqueous phases (liquids and [A]a [B]b solids are omitted from the equation)
• a, b, c, and d are the coefficients in the balanced chemical equation• K is the equilibrium constant (temperature and pressure specific)
- if K is large, reaction’s concentration of products greater than reactants- if K is small, reaction’s concentration of reactants greater than products- K is inversely proportional to the K value of the reverse reaction
LE CHÂTELIER’S PRINCIPLE Le Châtelier’s Principle – when a chemical system at equilibrium is disturbed by a change in a
property, the system adjusts in a way that opposes the changeequilibrium shift – movement of a system at equilibrium resulting in a change in the
concentrations of reactants and productsVariables Affecting Chemical Equilibria:
VARIABLE TYPE OF CHANGE RESPONSE OF SYSTEMconcentration increase shifts to consume added reactant
decrease shifts to replace removed reactanttemperature increase shifts to consume added thermal energy
(away from heat term)decrease shifts to replace removed thermal energy
(towards heat term)volume increase (decrease in
pressure)shifts towards side with larger total number
of gaseous entitiesdecrease (increase in
pressure)shifts towards side with smaller total
number of gaseous entitiescommon ion effect dissolving a compound into
solution that adds a common ion
shifts away from common ion to consume the added reactant
VARIABLES THAT DO NOT AFFECT CHEMICAL EQUILIBRIAcatalysts - no effect
adding inert gases - no effectSOLVING EQUILIBRIUM PROBLEMS
SCH 4U REVIEW 31 of 39
1. Write a balanced equation for the reaction and list the known values.2. If the direction the system must go to attain equilibrium is not obvious (i.e., one entity is not
present initially), calculate Q with the initial concentrations and compare it to the value of K to determine which direction the system will proceed to attain equilibrium.
3. Construct an ICE (Initial concentration, Change in concentration, Equilibrium concentration) table and input the initial concentrations.
4. Let x represent the changes in concentration, multiplying it by the coefficient in the balanced equation. The reactants should all change in the same way and all the products should proceed in the opposite way.
5. Rewrite the E row using the x values.6. Substitute equilibrium concentrations into the equilibrium constant equation.7. Apply appropriate simplifying assumptions, if possible (e.g., 4x3 ÷ (0.4 – 2x)2 can be
simplified to 4x3 ÷ (0.4)2 because x value is so small in comparison).8. Solve for x.9. Justify any assumptions you have made (i.e., the x value you get should be plugged into the
original equation and the difference between the two must be less than 5%).10. Calculate the equilibrium concentrations by substituting x into equilibrium concentration
expressions from the E row.e.g., 4.00 mol of hydrogen and 2.00 mol of iodine are placed in a 2.00-L reaction vessel at 440°C and
react to form hydrogen iodide. At this temperature, the K is 49.7. Determine the concentrations of all entities.
H2(g) + I2(g) ↔ 2 HI(g) K = 49.7
[H2(g)] = 4.00 mol [I2(g)] = 2.00 mol [HI(g)] = 0.00 mol/L 2.00 L 2.00 L = 2.00 mol/L = 1.00 mol/L
H2(g) + I2(g) ↔ 2 HI(g)
Initial concentration (mol/L) 2.00 1.00 0.00Change in concentration (mol/L) – x – x +2 xEquilibrium concentration (mol/L) 2.00 – x 1.00 – x 2x
K = [HI] 2 [H2] [I2]49.7 = (2x) 2 (2.00 – x) (1.00 – x) 4x2 = 49.7 (2.00 – x) (1.00 – x)0.92x2 – 3.00x + 2.00 = 0
x = –b ± √ b 2 – 4ac 2a = 3.00 ± √ 9.00 – 7.36 1.84 = 2.33 or 0.932.33 is rejected, because concentrations cannot have a negative value (i.e., 2.00 – 2.33 = - 0.33)
SOLUBILITY PRODUCT CONSTANT solubility – the concentration of a saturated solution of a solute in a particular solvent at a
particular temperature; specific maximum concentration
[H2(g)] = 2.00 mol/L - x = 2.00 mol/L - (0.93 mol/L)
= 1.07 mol/L[I2(g)] = 1.00 mol/L - x = 1.00 mol/L - (0.93 mol/L)
= 0.07 mol/L[HI(g)] = 2x = 2(0.93 mol/L)
= 1.87 mol/L
SCH 4U REVIEW 32 of 39
solubility product constant (Ksp) – the value obtained from the equilibrium law applied to saturated solution (remember solids are not included in the equation); omit units as with all K values
– can only be determined for ionic compounds that are classified as insoluble or slightly soluble
1. Write a balanced equation and list the known values.2. Use the solid product to write an equilibrium equation for it dissolving into ions.3. Find the Ksp value for the solid product and write it next to the equilibrium equation.4. Determine the number of moles of both ions, by using the mole ratios and initial
concentrations of reactants.5. Determine the concentration upon mixing, by dividing the number of moles by the new
volume.6. Plug these new concentrations into the Ksp equation to determine the Q (experimental value).7. Compare the Q value to the Ksp to predict whether a precipitate will form (see below).USING Q TO PREDICT SOLUBILITY Ion product, Q > Ksp precipitate will form (supersaturated solution)Ion product, Q = Ksp precipitate will not form (saturated solution)Ion product, Q < Ksp precipitate will not form (unsaturated solution)e.g., 20.0 mL of 0.20 mol/L ammonium sulfate solution is added to 130 mL of 0.50 mol/L barium nitrate
solution. What are the concentrations of the ions and will a precipitate form?
(NH4)2SO4(aq) + Ba(NO3)2(aq) BaSO4(s) + 2 NH4NO3(aq)
BaSO4(s) ↔ Ba2+(aq) + SO4
2-(aq) Ksp = 1.08 x 10-10
nBa2NO3 = c v nNH4NO3 = c v = (0.50 mol/L) (0.130 L) = (0.20 mol/L) (0.020 L) = 0.065 mol = 0.0040 mol = nBa = nSO4
[Ba2+(aq)] = n [SO4
2-(aq)] = n
v v = 0.065 mol = 0.004 mol
0.150 L 0.150 L = 0.43 mol/L = 0.027 mol/L
Ksp = [Ba2+] [SO42-]
= (0.43) (0.027) = 0.011 0.011 > 1.08 x 10-10, therefore it will precipitate
ENTROPY spontaneous reaction – one that, given the necessary activation energy, proceeds without
continuous outside assistanceentropy, S – a measure of the randomness or disorder of a system or the surroundings
– equals 0 when the temperature is at absolute zero (0 K)FACTORS THAT INCREASE ENTROPY ( S ) the volume of a gaseous system increases (i.e., pressure decreases) the temperature of a system increases the physical state of a system changes from solid to liquid to gas, or liquid to gas (i.e., Sgas >
Sliquid > Ssolid)
Choose the solid to write the equilibrium equation (remember any NO3
- molecule is aqueous)
Divide by the “new” volume (i.e., 20 mL and 130 mL equals 150 mL)
SCH 4U REVIEW 33 of 39
fewer moles of reactant molecules form a greater number of moles of product molecules complex molecules are broken down into simpler subunits (e.g., combustion of organic fuels
into carbon dioxide and water)Classification of Spontaneous and Nonspontaneous Reactions
Endothermic (ΔH > 0) Exothermic (ΔH < 0)
Entropy increases (ΔS > 0)spontaneous at high temps.
nonspontaneous at low temps.H2O(s) H2O(l)
spontaneous C(s) + O2(g) CO2(g)
Entropy decreases (ΔS < 0)nonspontaneous3 O2(g) 2 O3(g)
spontaneous at low temps.nonspontaneous at high temps.
2 SO2(g) + O2(g) 2 SO3(g)
Gibb’s free energy, G – energy that is available to do useful work; ΔG° = ΔH° – (T ΔS°)
CHAPTER 8: ACID-BASE EQUILIBRIUM
BRØNSTED-LOWRY THEORY Brønsted-Lowry acid – proton donorBrønsted-Lowry base – proton acceptoramphoteric (amphiprotic) – a substance capable of acting as an acid or a base in different
chemical reactions; a substance that may accept or donate a proton e.g.,
HC2H3O2(aq) + H2O(l) ↔ C2H3O2-(aq) + H3O+
(aq)
strong acid – an acid with a very weak attraction for protons and easily donates it to a basestrong base – a base with a very strong attraction for protons The stronger an acid, the weaker its conjugate base, and vice versa.AUTOIONIZATION OF WATER autoionization of water – the reaction between two water molecules producing a hydronium ion
and a hydroxide ion (H2O(l) ↔ H+(aq) + OH-
(aq)
Kw = [H+(aq)] [OH-
(aq)] [H+(aq)] = Kw [OH-
(aq)] = Kw = (1.0 x 10-7 mol/L) (1.0 x 10-7 mol/L) [OH-
(aq)] [H+(aq)]
= 1.0 x 10-14
In neutral solutions [H+(aq)] = [OH-
(aq)]
In acidic solutions [H+(aq)] > [OH-
(aq)]In basic solutions [H+
(aq)] < [OH-
(aq)]PH pH – the negative of the logarithm to the base ten of the concentration of hydrogen (hydronium)
ions in a solutionpOH – the negative of the logarithm to the base ten of the concentration of hydroxide ions in a
solution
pH = –log [H+(aq)] pOH = –log [OH-
(aq)] pH + pOH = 14.00
conjugate pair
acid
base
SCH 4U REVIEW 34 of 39
[H+(aq)] = 10–pH [OH-
(aq)] = 10–pOH
e.g., Calculate the pH of a solution prepared by dissolving 4.3 g of Ba(OH)2(s) in water to form 1.5 L of solution.Ba(OH)2(aq) Ba2+
(aq) + 2 OH–(aq)
nBa(OH)2 = 4.3 g x 1 mol 171.3 g
= 2.5 x 10-2 mol[Ba(OH)2(aq)] = 2.5 x 10 -2 mol
1.5 L = 1.7 x 10-2 mol/L
[OH-(aq)] = 2 (1.7 x 10-2 mol/L)
= 3.3 x 10-2 mol/LpOH = –log [OH-
(aq)] = –log (3.3 x 10-2)
= 1.47pH = 14.00 – pOH
= 14.00 – 1.47 = 12.53
STRONG VS. WEAK ACIDS AND BASES strong acid – an acid that is assumed to ionize quantitatively (completely) in aqueous solution
(i.e., percent ionization is > 99%); HCl(aq), HNO3(aq), and H2SO4(aq) are the only strong acids we will work with
strong base – an ionic substance that dissociates completely in water to release hydroxide ions; all of the metal hydroxides are strong bases
weak acid – an acid that partially ionizes in solution but exists primarily in the form of molecules
weak base – a base that has a weak attraction for protons
percent ionization (p) = concentration of acid ionized x 100% [H+(aq)] = p x [HA(aq)]
concentration of acid solute 100
acid ionization constant (Ka) – equilibrium constant for the ionization of an acide.g., Calculate the Ka and pH of hydrofluoric acid if a 0.100 mol/L solution at equilibrium at SATP has a
percent ionization of 7.8%.
HF(aq) H+(aq) + F-
(aq)
Ka = [H + (aq)] [F - (aq)] [HF(aq)]
[H+(aq)] = (p/100) [HA(aq)]
= (7.8 / 100) (0.100 mol/L) = 0.0078 mol/L
HF(aq) ↔ H+(aq) + F-
(aq)
Initial concentration (mol/L) 0.100 0.000 0.000Change in concentration (mol/L) – x + x + x Equilibrium concentration (mol/L) 0.100 – 0.0078 0.0078 0.0078
= 0.0922
100%
7.8%
SCH 4U REVIEW 35 of 39Ka = [H + (aq)] [F - (aq)] pH = –log [H+
(aq)] [HF(aq)] = –log (0.0078)
= 0.0078 2 = 2.1 0.0922 = 6.6 x 10-4
CHAPTER 9: ELECTROCHEMISTRY (ELECTRIC CELLS)
OXIDATION NUMBER oxidation number – an integer that is assigned to each atom in a compound when considering
redox reactions– a positive or negative number corresponding to the apparent charge that an
atom in a molecule or ion would have if the electron pairs in covalent bonds belonged entirely to the more electronegative atom
RULES FOR ASSIGNING OXIDATION NUMBERS1. The oxidation number of an atom in an uncombined element is always 0 (e.g., H2 is 0).2. The oxidation number of a simple ion is the charge of ion (e.g., Ca2+ is +2).3. The oxidation number of hydrogen is +1, except in metal hydrides when it is -1 (e.g., the H
in NaH is -1).4. The oxidation number of oxygen is -2, except in peroxides when it is -1 (e.g., the O in H2O2
is -1).5. The oxidation number of Group 1 element ions is +1. The oxidation number of Group 2
element ions is +2.6. The sum of oxidation numbers in a compound must equal 0.7. The sum of oxidation numbers in a polyatomic ion must equal the charge on the ion (e.g.,
OH- is -1).OXIDATION-REDUCTION Oxidation can be defined as a reaction in which:
1) an element is chemically united with oxygen (e.g., C + O2 CO2; carbon is oxidized)2) a metal is changed from an uncombined to a combined state (e.g., Zn + Cl2 ZnCl2)3) an element loses electrons, and therefore has an increase in oxidation number
(e.g., Ca Ca2+ + 2e-)Loss of Electrons is Oxidation “LEO”
Reduction can be defined as a reaction in which:1) an element loses oxygen (e.g., Fe2O3 2 FeO + ½ O2)2) a metal is changed from a combined to a uncombined state (e.g., FeO Fe + ½ O2)3) an element gains electrons, and therefore has a decrease in oxidation number
(e.g., Cl2 + 2e- 2 Cl-)Gain of Electrons is Reduction “GER”
redox reaction – a chemical reaction in which electrons are transferred between particles; two or more atoms undergo a change in oxidation number; also known as oxidation-reduction reactions
– all single displacement reactions are redox, while some combination and decomposition reactions are; double displacement reactions are never redox
e.g., oxidation
+1 -2 0 +4 -2 +1 -2
SCH 4U REVIEW 36 of 39
H2S(g) + O2(g) SO2(g) + H2O(g)
reductionBALANCING REDOX EQUATIONS USING OXIDATION NUMBERS this method is most appropriate when dealing with covalent compounds1. Assign oxidation numbers to all the atoms in the equation.2. Identify which atoms undergo a change in oxidation number.3. Determine the ratio in which these atoms must react so that the total increase in oxidation
number equals the decrease (i.e., the total number of electrons lost and gained is equal).4. Balance the redox participants in the equation using this ratio.5. Balance the other atoms by the inspection method.6. Add H+
(aq) or OH-(aq) to balance the charge, depending on if it is an acidic or a basic solution
(the total charge on each side must be the same).7. Add H2O(l) to balance the O atoms.e.g., Ag(s) + Cr2O7
2-(aq) Ag+
(aq) + Cr3+(aq)
oxidation: lost 1 e- (x 6)
6 Ag(s) + Cr2O72-
(aq) + 14 H+(aq) 6 Ag+
(aq) + 2 Cr3+(aq) + H2O(l)
reduction: gained 2(3 e-) = 6 e- (x 1)
BALANCING REDOX EQUATIONS USING HALF-REACTIONS this method is most appropriate for ionic reactions in solution and for relating to electrical
processes1. Separate the skeleton equation into the start of two half-reaction equations (one for the
oxidation reaction and one for the reduction reaction).2. Balance all species, other than O and H.3. Balance the oxygen, by adding H2O(l) for acidic solutions or OH-
(aq) for basic solutions.4. Balance the hydrogen, by adding H+
(aq) for acidic solutions or H2O(l) for basic solutions.5. Balance the charge on each side by adding electrons and canceling anything that is in equal
amounts on both sides.6. Multiply each half-reaction equation by simple whole numbers to balance the electrons lost
and gained.7. Add the two half-reaction equations, canceling the electrons and anything else that appears
in equal amounts on both sides.8. Check to ensure all entities and the overall charge on both sides balance.e.g., MnO4
– + N2H4 MnO2 + N2
4 [MnO4– + 2 H2O + 3 e- MnO2 + 4 OH–]
3 [N2H4 + 4 OH– N2 + 4 H2O + 4 e-]
4 MnO4– + 8 H2O + 12 e- 4 MnO2 + 16 OH–]
3 N2H4 + 12 OH– 3 N2 + 12 H2O + 12 e-]
4 MnO4– + 3 N2H4 4 MnO2 + 3 N2 + 4 H2O + 4 OH–
0 +6 -2 +1 +3
SCH 4U REVIEW 37 of 39
TECHNOLOGY OF CELLS AND BATTERIES electric cell – a device that continuously converts chemical energy into electrical energy;
contains two electrodes (solid conductor) and one electrolyte (aqueous conductor); each electrode has a cathode (+) and anode (–); electrons flow from the anode to the cathode
battery – a group of two or more electric cells connected in seriesvoltage – the potential energy difference per unit charge; measured in volts (V), 1 J/Celectric current – the rate of flow of charge past a point; measured in amperes (A), 1 C/s
TYPENAME OF
CELLHALF-REACTIONS
CHARACTERISTICS AND USES
primary cell – electric cell that cannot
be recharged
dry cell (1.5 V)
2 MnO2 + 2 NH4+ + 2 e- Mn2O3 + 2 NH3 + H2OZn Zn2+ + 2 e-
inexpensive, portable flashlights, radios
alkaline dry cell (1.5 V)
2 MnO2 + H2O + 2 e- Mn2O3 + 2 OH-
Zn + 2 OH- ZnO + H2O + 2 e-
longer shelf life, higher currents for longer periods
same uses as dry cell
mercury cell (1.35 V)
HgO + H2O + 2 e- Hg + 2 OH-
Zn + 2 OH- ZnO + H2O + 2 e-
small cell, constant voltage during life
hearing aids, watches
secondary cell – electric cell that can be recharged
Ni-Cad cell (1.25 V)
2 NiO(OH) + 2 H2O + 2 e- 2 Ni(OH)2 + 2 OH-
Cd + 2 OH- Cd(OH)2 + 2 e-
completely sealed, lightweight
power tools, shavers, portable computers
lead-acid cell (2.0 V)
PbO2 + 4 H+ + SO42- + 2 e- PbSO4 + 2 H2O
Pb + SO42- PbSO4 + 2 e-
large currents, reliable for recharges
all vehicles
fuel cell – electric cell
that produces electricity by a continually supplied fuel
aluminum-air cell (2 V)
3 O2 + 6 H2O + 12 e- 12 OH-
4 Al 4 Al3+ + 12 e-
high energy density, readily available aluminum alloys
electric cars
hydrogen-oxygen cell
(1.2 V)
O2 + 2 H2O + 4 e- 4 OH-
2 H2 + 4 OH- 4 H2O + 4 e-
lightweight, high efficiency, can be adapted to use hydrogen-rich fuels
vehicles and space shuttle
GALVANIC CELLS galvanic cell – consists of two half-cells
separated by a porous boundary with solid electrodes connected by an external circuit; standard cells occur at SATP and with concentrations of 1.0 mol/L
cathode – positive electrode; reduction (gaining electrons because electronegativity is higher) of the strongest oxidizing agent
SCH 4U REVIEW 38 of 39
occurs here; the half-cell that is higher on the “Relative Strengths of Oxidizing and Reducing Agents” table; “red cat on the roof” reduction at the cathode, higher half-cell
anode – negative electrode; oxidation (losing electrons because electronegativity is lower) of the strongest reducing agent occurs here; the half-cell that is lower on the table
inert electrode – a solid conductor that will not react with any substance present in a cell (usually carbon or platinum)
Electrons travel in the external circuit from the anode to the cathode Internally, anions from the salt bridge move toward the anode and cations from the salt
bridge move toward the cathode as the cell operates, keeping the solution electrically neutral
CELL NOTATION electrons
cathode (+) | electrolyte || electrolyte | anode (-)(reduction) (oxidation)
CELL POTENTIALS standard cell potential (ΔE°) – the maximum electric potential difference (voltage) of a cell
operating under standard conditionsreference half-cell – a half-cell assigned an electrode potential of exactly 0.00 volts; the
standard hydrogen half-cell, Pt(s) | H2(g), H+(aq)
standard reduction potential (ΔEr°) – represents the tendency of a standard half-cell to attract
electrons in a reduction half-reaction, compared to the reference half-cell
standard oxidation potential (ΔEo°) – represents the tendency of a standard half-cell to lose
electrons in an oxidation half-reaction; the value of the reverse reaction with an opposite sign
ΔE° = ΔEr° – ΔEr
°
cell cathode anode
A positive standard cell potential (ΔE° > 0) indicates that the overall cell reaction is spontaneous.
e.g., SOA OAAg(s) | Ag+
(aq) || Cu2+(aq) | Cu(s)
RA SRA
2 [Ag+(aq) + e- Ag(s) ] Cu(s) Cu2+
(aq) + 2 e-
Cu(s) + 2 Ag+(aq) Cu2+
(aq) + 2 Ag(s)
ΔE° = ΔEr° – ΔEr
°
cell cathode anode
ΔE° = ΔE°Ag+ – ΔE°
Cu2+
= 0.80 – 0.34 = 0.46 V
SCH 4U REVIEW 39 of 39