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Ionic
Intermolecular forces: ion-ion forces
Properties: brittle, hard, high-melting
Examples: NaCl, KBr, MgCl2
Molecular
Intermolecular forces: dispersion forces, dipole-dipole forces, hydrogen bonds
Properties: soft, low-melting, nonconducting
Examples: H2O, Br2, CO2, CH4
Covalent network
Intermolecular forces: covalent bonds
Properties: hard, high-melting
Examples: C (diamond), SiO2
Metallic
Intermolecular forces: metallic bonds
Properties: variable hardness and melting point, conducting
Examples: Na, Zn, Cu, Fe
Simple cubic
Stacking pattern: a-a-a-a
Coordination number: 6
Space used (%): 52
Unit cell: primitive-cubic
Body-centered cubic
Stacking pattern: a-b-a-b
Coordination number: 8
Space used (%): 68
Unit cell: body-centered cubic
Hexagonal closest-packing
Stacking pattern: a-b-a-b
Coordination number: 12
Space used (%): 74
Unit cell: (noncubic)
Cubic closest-packing
Stacking pattern: a-b-c-a-b-c
Coordination number: 12
Space used (%): 74
Unit cell: face-centered cubic
Molarity (M)
Moles of solute/liters of solution
Mole faction (X)
Moles of component/Total moles making up the solution
Mass percent
(Mass of component/total mass of solution) x 100%
Parts per million (ppm)
(Mass of component/total mass of solution) x10^6
Parts per billion (ppb)
(Mass of component/total mass of solution) x10^9
Molality (m)
Moles of solute/mass of solvent (kg)
Molarity (M)
Units: mole solute/L solution
Advantages: useful in stoichiometry, by volumes
Disadvantages: temperature-dependent, must know density to find solvent mass
Mole fraction (X)
Units: none
Advantages: temperature-independent, useful in special applications
Disadvantages: measure by mass, must know density to convert to molarity
Mass %
Units: %
Advantages: temperature-independent, useful in small amounts
Disadvantages: measure by mass, must know density to convert to molarity
Molality (m)
Units:
Advantages: temperature-independent, useful in special applications
Disadvantages: measure by mass, must know density to convert to molarity
Henry's Law
Solubility = kp
Colligative properties
In comparing the properties of a pure solvent with those of a solution:
- the vapor pressure of the solution is lower
- the boiling point of the solution is higher
- the freezing (or melting) point of the solution is lower
- the solution gives rise to osmosis, the migration of solvent molescules through a semipermeable membrane
Van't Hoff factor
i = moles of particle in solution/moles of solute dissolved
Integrated rate law for a zeroth-order reaction
[A]t = -kt + [A]0
K= -(slope)
Integrated rate law for a first-order reaction
ln ([A]t/[A]0) = -kt
K= -(slope)
Integrated rate law for a second-order reaction
1/[A]t = kt + 1/[A]0
K= slope
A compound is soluble if it contains one of the following cations
Li+, Na+, K+, Rb+, and Cs+ (Group 1A cations)
NH4+ <—- ammonium cation
A compound is soluble if it contains one of the following anions
Cl-, Br-, I- (halide anions) except Ag+, Hg22+, and Pb2+ halides.
No3-, ClO4-, Acetate, So4- except
Sr2+, Ba2+, Hg22+, and Pb2+ sulfates
What is the pH at the equivalence point of a weak acid-strong base titration?
pH>7, basic solution
What is the pH at the equivalence point of a Strong acid-strong base titration?
pH=7, neutral solution
What is the pH at the equivalence point of a Strong acid-weak base titration?
pH<7, acidic solution
Kn equals
1/[H30+][OH-]
pH at first equivalence point
pKa1+pka2/2
If the initial ion product is greater than Ksp then what will happen?
An ionic compound will precipitate
If the initial ion product is less than Ksp what will happen?
No solid ionic product will precipitate.
If a solution goes up in temperature what is the sign for enthalpy?
- delta H
If a solution goes down in temperature what is the sign for enthalpy?
+ delta H
If IP < Ksp, the solution is:
The solution is unsaturated and precipitation will not occur
If IP > Ksp, the solution is:
The solution is supersaturated and precipitation will occur.
If IP=Ksp, the solution is:
The solution is saturated and equilibrium already exists.
Entropy change upon volume change of a gas
Delta S = nR ln(Vfinal/Vinital)
Entropy change upon volume change of a gas
Delta S = nR ln(P initial/p final)
What is the third law of thermodynamics?
The entropy of a perfected ordered crystalline substance at 0k is zero.
What is the first law of thermodynamics?
In any process, spontaneous or non-spontaneous, the total energy of a system and its surroundings is constant.
What is the second law of thermodynamics?
In any spontaneous process, the total entropy of a system and its surroundings always increases.
If delta S total is greater than zero then the reaction is
Spontaneous
If delta S total is less than zero then the reaction is
Non-spontaneous
If delta S total = zero, the reaction mixture exists at
Equilibrium
All reactions proceed spontaneously in the direction that _______________ the entropy of the system plus the surroundings
Increases
When an exothermic reaction happens what happens to the entropy of the surroundings?
The surroundings gain heat and thus entropy increases.
When an endothermic reaction happens what happens to the entropy of the surroundings?
The surroundings lose heat and entropy decreases.
If delta g is less than zero, then the reaction is
Spontaneous
If delta g is greater than zero, then the reaction is
nonspontaneous
If delta g equals zero, then the reaction is
at equilibrium
if H is negative and S is positive
G is negative, and the reaction is spontaneous at all temperatures.
if H is positive and S is negative
G is positive, and the reaction is non-spontaneous at all temperatures.
If H and S are both negative
then G is spontaneous at low temperatures where delta H outweighs TS
and non-spontaneous at high temperatures where TS outweighs H
If H and S are both positive
Then G is spontaneous at high temperatures where TS outweighs H
and non-spontaneous at low temperatures where H outweighs TS
Standard State conditions
-Solids, liquids, and gases in pure format 1 atm
-Solutes at 1M concentration
-at a specified temperature, usually 25 degrees Celsius.
Free energy change under Nonstandard state conditions
Delta G = Delta G (standard) + RT ln Q
Relationship between standard Free-Energy change and equilibrium Constant
Delta G = -RT lnK
Relationship between the standard free energy change and the equilibrium constant of reaction
If Delta G <0, Lnk >0, K >0 and the equilibrium mixture is mainly products
If Delta G >0, Lnk<0, K<1 and the equilibrium mixture is mainly reactants
If Delta G = 0, Lnk =0, K=1 and the equilibrium mixture contains comparable amounts of reactants and products.
Electrons in a galvanic cell move away from the __________________ and towards the _________________
Anode, towards the cathode
The force that pushes electrons from the anode and towards the cathode is the?
EMF (electromotive force), also known as cell potential (E) or the cell voltage.
What does one joule equal in terms of coulombs and volts?
One coulomb times one volt
One amphere equals?
One coulomb divided by one second
One watt equals?
one joule divided by one second
What is an electronic instrument that measures cell potential?
A voltmeter
What the equation for the relationship between free-energy change and cell potential?
Delta G = -nfe
-N is the number of moles of electrons transferred in the reaction
-E is cell potential
-F is the faraday constant (96,500 C/ Mole e-)
What is the standard cell potential?
The standard cell potential is the cell potential when both reactants and products are mixed in their standard states- Solutes at 1M concentrations, gases at 1 atm of pressure, solids and liquids in pure form, with all at a specified temperature (usually 25 degrees C).
What measuring tool can also be regarded as a "free-energy meter"? This tool when measuring a standard cell potential also indirectly measures standard free energy.
A voltmeter.
How is the standard enthalpy of formation of a substance expressed?
It is expressed relative to an arbitrary reference point where delta H of formation = OkJ/mol for constituent elements in their standard state.
If the free energy change for a reaction is negative, then the reaction is?
Spontaneous. The greater the negative value of delta G, the greater the tendency for the reaction to occur.
What is S.H.E?
S.H.E is the standard hydrogen electrode. It is used as a reference electrode and is assigned an arbitrary potential of zero volts. It can serve as either a cathode or an anode in a galvanic cell.
Whenever the direction of a half-reaction is reversed, the sign of E must also be reversed. Thus the standard potential of the oxidation half reaction is the ________________ of the standard reduction potential.
Negative
The process of using an electric current to bring about a chemical change is called what?
Electrolysis
What is a fuel cell?
A galvanic cell in which one of the reactants is a fuel such as hydrogen or methanol.
How does acid strength increase with a hydroxide group (OH-)?
Acid strength increases with increasing oxidation number of the atom to which an OH group is attached. Electron density shifts from the OH group to the attached atom, the weakening the O-H bond, increasing its polarity, and facilitating proton transfer to a solvent water molecule.
Lewis Acid
lone pair acceptor
Lewis base
Lone pair donor
Ligand
An electron pair donor in a metal ion complex
Monodentate ligands
Are ligands that bond using an electron pair of a single donor atom.
Polydentate ligands
Ligands that bond through electron pairs on more than one donor atom.
chelating agents
A polydentate ligand that is capable of occupying two or more sites in the coordination sphere.
At the temperature where a phase change occurs both phases coexist at equilibrium and this means that Delta G is what?
Zero.
Clausius-Clapeyron equation
ln(p1/p2)=(-ΔHvap/R)(1/T2-1/T1)
simple cubic unit cell
-Coordination # 6 and 52% space used
-each layer is stacked on top of the previous layer perfectly
-there are eighths (one in each corner) for a total of ONE atom in each unit cell.
A=2R
Body centered cubic unit cell
-Coordination # 8 and 68% space used
-Each layer is offset from the layer before it. Arrangements duplicate themselves every other layer.
-There are eighths (one in each corner) and one full atom in the center for a total of TWO atoms in the unit cell.
A= (Square root (16/3)) R
Face Centered Cubic (FCC) unit cell (also known as cubic closest packing)
-Coordination # 12 and 74% of space is used
-Each layer is offset from the layer before. Arrangements duplicate themselves every third layer.
-There are eighths (one in each corner), and six halves (one for each face of the cube) for a total of FOUR atoms in the unit cell
A= (square root of 8) R
How many picometers in a meter?
1.0 x10^12
How many picometers in a centimeter
1.0 x10^10
Density equation for Unit packing arrangements
D=ZM/S^3 Na
z= # of atoms in cube
M=molar mass
S= edge length
Na= Avogadro's #
Corner atoms
1/8 an atom (8 corners)
edge atom
1/4 an atom (12 edges)
Face atom
1/2 an atom (6 faces)
Center atom
1 whole atom (1 center)
What is vicosity?
A measure of a liquids resistance to flow. Viscosity increases with increasing inter-molecular forces.
What is surface tension?
The resistance of a liquid to spread out and increase its surface area. More IMF means more surface tension.
What is vapor pressure?
In a closed container, liquid molecules evaporate and the resulting increase in pressure is called vapor pressure. Vapor pressure increases as temperature increases because more molecules have sufficient energy to overcome IMF and enter the gas phase.
Amorphous solids
Solids whose particles are not arranged in a regular pattern. Randomly arranged.
Crystalline Solids
Solid who's particles are arranged in a regular pattern.
types of crystalline solids: Ionic solids
Solids who's particles are ions