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Density
mass/volume
Volume
mass/density
Mass
Density times volume
Sig Fig Rules
Every nonzero digit in a recorded measurement is significant
Zeros between nonzero digits are significant (“Sandwich Rule”)
Zeros in front of all nonzero digits are NOT significant
Zeros at the end of a measurement where there is no decimal point are ambiguous. To clearly show the correct number of sig figs, they should be written in scientific notation.
EX: 120= 2/3 sig figs; 3000= ¾ sig figs
0.004550
4 sig figs- The zero in front of all nonzero digits are not significant, and zeros at the end of a measurement where there is no decimal point are ambiguous.
number of sig figs for multiplication/division
number of sig figs in the least precise measurement
number of sig figs in addition/subtraction
result has the same number of decimal places as the least precise measurement
Metric System (MEMORIZE!!)
Peta; P; 10^15
Tera; T; 10^12
Giga; G; 10^9
Mega; M; 10^6
Kilo; K; 10³
6.hecto; h; 10²
deka; da; 10^1
8.deci; d; 10⁻¹
9.centi; c; 10⁻²
10.milli; m; 10⁻³
11.micro; ; 10⁻⁶
12.nano; n; 10⁻⁹
13. pico; p; 10⁻¹²
Specific gravity
measure of mass of an object compared to the mass of an equal volume of water
density of water
1.00 g/ml, specific gravity is equal numerically to the density but HAS NO UNITS
Water displacement
D= m/Vfinal - Vinitial
Angstrom
1 Angstrom= 10^-10 m
Accuracy
closeness of a measurement to the actual value
Absolute error
[Observed value- Accepted Value]
Relative error
[observed value-accepted value]/accepted value *100
JJ Berzelius
created modern symbols of elements
Group 1A
Alkali Metals (except Hydrogen)
Group 11A
Alkaline Earth Metals
Group V11A
Halogens
Group V111A
Noble Gases
Physical properties of substances
Density, specific gravity, hardness, odor, color, taste, solubility, physical state, properties of metals, accidental physical properties (mass and volume)
Chemical properties
color, gas, solid, heat/temperature changes
Homogenous
uniform, constant composition
Heterogenous
non-uniform (varying composition)
Democritus
Matter is composed of indivisible particles called atoms
Law of Conversation of Mass-Antoine Lavosier
mass is neither created nor destroyed
Law of Constant Proportions- Joseph Proust 1799
Compounds always contain the same elements in the same proportions by mass
Law of Multiple Proportions- John Dalton
When two elements can form multiple compounds, the ratio of masses will remain constant for each compound
JJ Thompson
used experiments with Cathode Ray Tube to show that atoms are not indivisible and determined e/me= constant; proposed Plum Pudding Model
Robert A Milikan
Determined e- charge with oil drop experiment
Rutherford
Use radioactive a to discover the +charged nucleus with alpha scattering experiment and proposed incorrect planetary model
Incorrect planetary model
Electrons orbit positive nucleus; this model cannot explain why electrons wouldn’t crash into nucleus
Stable atoms
have favorable n(neutrons)/p(protons) ratio
Larger atoms v. Smaller atoms
Larger atoms= n>p; Smaller atoms= n=p
Belt of stability
Above stability band means that there are too many neutrons and must go through beta emission(neutrons turn into protons)
Below stability band means that there are too many protons and they must go through positron emission(protons turn into neutrons)
Picometer
Picometer= 10^-12 m
Mass number(on top)
Number of protons and neutrons
Atomic number(bottom)
Number of protons
Alpha emissions
4 2 He (subtract 4 and 2)
Beta Emission- neutrons turn into protons
0 -1 e (add 1)
Positron emission- protons turn into neutrons
0 1 e (subtract 1)
Gamma Emission
When nucleus is in an excited energy state and it loses energy gamma rays are emitted; no changes during equation
B+ emission
below stability belt
B- emission
Above stability belt
Radioactive Decay Series
successive decays which start with one parent isotope and proceeds through a number of daughter isotopes. The series ends when a stable, non-radioactive isotope is formed.
What nuclei are most stable?
Nuclei with large binding energies per nuclei
Most stable isotope
56 Fe
What nuclei are very stable?
Nuclei of low atomic numbers with a 1:1 ratio of neutrons to protons are very stable
Stable nuclei
even # of protons and neutrons
Conversion between mass and energy formulas
1 g= 6.022 × 10 ^ 23 amu
I Joule= kg*m²/s²
c= 3.00 × 10^8 m/s
E=mc²
Mass Defect, Binding Energy, Stability
As Mass Defect increases, so does binding energy and stability
Half Lives
the average time it takes for half of the unstable atoms in a sample to decay
Fusion
combining smaller nuclei to form larger nuclei, which increases the binding energy per nucleon and therefore the stability
Nuclei smaller than 56 Fe
give off energy when they fuse together
Fission
Large nucleus is broken into smaller nuclei and one or more neutrons; takes place for electrons larger than 56 Fe
Nuclear Chain Reaction
self-sustaining sequence of nuclear fission reactions
Critical mass
minimum mass of fissionable material needed for a self-sustaining chain reaction
Subcritical mass
less than minimal mass needed for a self sustaining chain reaction, meaning that too many neutrons will escape and no chain reaction will occur
Atomic bomb
must contain a critical mass of uranium 235 (critical mass must be kept in separate place before detonation)
Group 1A ions
Hydrogen, Lithium, Sodium, Potassium, Rubidium, Cesium
Group 11A ions
Beryllium, Magnesium, Calcium, Strontium, Barium
Group 111A ions
Aluminum, Boron
Miscallaneous
Silver (Ag+), Ammonium(NH4+), Zinc(Zn2+), Cadmium (Cd2+)
Positive ions with multiple charges
Iron 11 - Ferrous
Iron 111- Ferric
Copper 1- Cuprous
Copper 11- Cupric
Cobalt 11- Cobaltic
Cobalt 111- Cobaltic
Mercury 1- Mercurous
Mercury 11- Mercuric
Manganese 11- Manganous
Manganese 111- Manganic
Tin 11- Stannous
Tin 1111- Stannic
Lead 11- Plumbous
Lead 1111- Plumbic
Group 1V A ions
Carbide, Sillicide
Group VA ions
Nitride, Phosphide
Group V1A ions
Oxide, Sulfide
Group V11A ions
Fluoride, Chloride, Bromide, Iodide
Group 1A ions (again)
Hydride (hydrogen with a -1 charge)
Chloride oxyhalogens
hypochlorite: ClO-
chlorite: ClO2-
chlorate: ClO3-
Perchlorate: ClO4-
Bromide oxyhalogens
Hypobromite: BrO-
Bromite: BrO2-
Bromate: BrO3-
Hypobromate: BrO4-
Iodide oxyhalogens
Hypoiodite: IO-
Iodite: IO2-
Iodate: IO3-
Periodate: IO4-
Miscellaneous Polyatomic Ions Part 1
Peroxide: O2-
Hydroxide: OH-
Carbonate: CO3 2-
Bicarbonate: HCO3 -
Monohydrogen phosphate: HPO4 2-
Dihydrogen phosphate: H2PO4 -
Arsenite: AsO3 3-
Arsenate: AsO4 3-
Chromate: CrO4 2-
Dichromate: Cr2O7 2-
Phosphite: PO3 3-
Phosphate: PO4 3-
Acetate: C2H3O2 -
Miscellaneous Polyatomic Ions Part 2
Cyanide: CN-
Thiocyanate: SCN-
Cyanate: OCN-
Nitrite: NO2-
Nitrate: NO3-
Sulfite: SO3 2-
Sulfate: SO4 2-
Thiosulfate: S2O3 2-
Permanganate: MnO4-
Oxalate: C2O4 2-
Phthalate: C8H4O4 2-
Sillicate: SiO4 4-
Borate: BO3 3-
1 mole
6.022 × 10 ^ 23 atoms
Molar mass
The mass in grams of 1 mole
Mole Road Map
number of atoms ——> 6.022× 10 ^ 23 ——→ mol —→ molar mass —→ mass(g)
HOFBrINCl
H2, O2, F2, Br2, I2, N2, Cl2
Molecular formula
show the exact numbers of atoms; true formulas of molecules
Empirical formula
show the ratio of atoms
Molecular mass
sum of the atomic masses in amu of all the atoms in a molecule, the molar mass is the same mass but in grams
Limiting Reagant
Reactant depleted first
Theoretical yield
Amount of product that forms if all the limiting reagent has reacted
Actual yield
amount of product that is actually made
Percent yield
comparison of actual yield to theoretical yield; actual yield/theoretical yield *100
excess reagant
reactant left at the end of the reaction
stochiometry
the mass relationships among reactants and products in chemical reactions
Synthesis
A+X=AX
ex; sodium+chlorine
Decomposition
AX= A+ X
FeCl3 —→ 2Fe + 3Cl2
** metal hydroxide —→ metal oxide + water
Double displacement
(AX + BY —→ AY+ BX)
*remember solubility rules!!
Solubility Rules
All alkali metal compounds are soluble
All ammonium compounds are soluble
All compounds containing nitrate are soluble
Most hydroxides are insoluble EXCEPT alkali metals
Most chlorides, bromides, iodides are soluble
EXCEPT Ag+, Hg2 2+, Pb 2+
Cation Displacement
AX +B —→ BX+A
(single element must be more reactive than the element it replaces, otherwise NR)
Anion Displacement
AX + Y —→ AY + X
Reactivity: F2> Cl2> Br2 > I2
Combustion
CxHyOz + O2 —→ CO2 + H2O
Percent by mass
mass solute/mass solution * 100
Percent by volume
vol solute/ vol solution * 100
Molarity
mol solute/ L solution
Preparation of a solution of a known molarity
Calculate mass required
Weigh; put in volumetric flask
Add distilled water; swirl to dissolve
Add water after solute dissolves
Quantitative Analysis updated solubility rules
all compounds containing NO3-, CLO3-, CLO4- are soluble
Most OH- insoluble; alkali metals and Ba are exceptions
All CO32-, PO4 3-, S 2- compounds are insoluble
Most SO42- are insoluble; Ba, Hg, Pb exceptions
James Maxwell
Proposed accelerating electrons —→ electromagnetic waves
Verified by Hertz experiment ( created first radio transmitter and receiver)