Chem Exam 1

Metric Conversion

  • Base ten

  • Base Unit (BU)

    • Mass: grams

    • Volume: litres

    • Distance: metres

  • Tiers so to speak:

    • Milli BU (0.001)

    • Centi BU (0.01)

    • Deci (0.1)

    • BU (0)

    • Deka (10)

    • Hecto (100)

    • Kilo BU (100)

      • Bolded will be more important

  • Divide by ten to go forward in units

  • To go backward, multiply by ten

Significant Figures

  • Also called ‘SigFigs’

  • 10,200 has 3 SigFigs, while 10,200.0 has 6 SigFigs

  • Used to determine common rules for rounding & better communicate data

  • Rules:

    • Decimals are incredibly important, because it makes it more specific

    • Without decimals, you start counting from the right, start counting at the first non-zero digit, and add remaining numbers to determine amount of SigFigs

    • With decimals, you count left to right, find the first non-zero digit, and then count all following digits for the SigFigs.

      • In a case like 0.00010, the same rule applies, so it has only two SigFigs

  • Different rules for different properties:, most common is multiplication and division

    • Ex: 17.3 * 0.24 = 4.152 = 4.2

    • Ex: 18.00 / 6.8 = 2.6470 = 2.6

    • When you multiply or divide with SigFigs, you round your final answer to have the same number of SigFigs as the smaller SigFig number

      • You do round up or down, following commonly understood rules

      • 5 or higher, go up

      • 4 or lower, go down

    • Ex: 11.03 + 1940.1 = 1951.13 = 1951.1

    • Ex: 12.78 - 6 = 6.78 = 7

      • Round the final answer to have the same number of decimal points as the number with the least decimal places

  • Scientific Notation: it’s using powers of 10 to abbreviate a number to make it easier to understand

    • 3 * 10^8 versus 300,000,000 versus 300 million

    • Ex: 3.74 * 10^28 has three SigFigs

    • Ex: 6.0009 * 10^-34 has five SigFigs

    • We look at the coefficient because that shows the amount of SigFigs in the number

Chapter 1.1

Chemistry





Mass vs Matter





Building Blocks of Matter































Properties & Changes in Matter















































Kinetic Theory of Matter


  • Study of composition, structure & properties of matter and the changes it undergoes

    • The change is very important, change is what chemistry is truly about

    • Seeks ‘why’ ‘what’ and ‘how’ behind these changes


  • Mass is the measure of the amount of something

    • Mass doesn’t change, regardless of where you put it

    • Just how much stuff is there

    • You can have the same mass in space, but different weights in space

  • Matter is anything that has mass and takes up space


  • Atoms are the smallest unit that still has all of the element’s properties

    • Subatomic particles come together to form atoms, they lack properties

  • Elements are a pure substance made of only ONE kind of atom

  • Compounds are a substance made of atoms from two or more chemically bonded elements


  • Extensive properties: depend on amount of matter, like volume, mass or amount of energy

  • Intensive properties: don’t depend on amount of matter, like melting point, boiling point, density, conductivity and heat

    • It’s an inherent property of a substance

  • Matter has four states

    • Solids

      • Very low Kinetic Energy (KE), particles vibrate but can’t move around

      • Fixed shape

      • Fixed volume

    • Liquids

      • Low KE, particles move around, but are still close together

      • Variable shapes

      • Fixed volume

    • Gases

      • High KE, particles move and separate throughout their container

      • Variable shape

      • Variable volume

    • Plasma

      • Very high KE, particles collide with enough energy to break into charged particles

      • Gas-like, variable volume and shape

      • Ex: stars, fluorescent light bulbs


  • All matter is made up of small particles

    • Phase of matter depends on the energy of particles

Matter 1.2

Physical Property





Chemical Property




Physical Change






Chemical Changes











Classification of Matter

Matter Flowchart









Pure Substances

Element



Compound






Pure Substances








Mixtures






Can be observed without changing the identity of the substance

  • Ex: melting point, density, magnetic


Describes the ability of a substance to undergo identity changes

  • Ex: flammable, tarnishes in air


 Changes the form of substance without changing the identity and the properties will remain the same

  • Ex: dissolving in water, melting ice, grinding spices


Changes the identity of the substance and the products will have different properties

  • Ex: Rusting iron, burning a log

Some signs include:

  • Change in colour or odour

  • Formation of a gas

  • Formation of a precipitate (solid)

  • Change in light or heat



It’s one of those yes - no charts, examples:

Graphite - Element

Pepper - Heterogeneous Mixture

Sugar (sucrose) - Compound

Paint - Heterogeneous Mixture

Soda - Solution, or Homogeneous Mixture



Composed of identical atoms, examples: copper wire and aluminum foil


Composed of two or more elements in a fixed ratio, and it has properties different from those of individual elements, like table salt (NaCl)


Pure substance always contains the same, fixed ratio of elements

Pure substance has exactly the same characteristic properties

Ex: C+O = CO and C+O+O = CO2, both have definite and different compositions


Variable combination of two or more pure substances which retain their own properties. There’s types

Solutions:

  • Homogenous

  • Very small particles

  • Particles don’t settle

  • Ex: Soda, Rubbing Alcohol, Saltwater


Colloid:

  • Heterogenous

  • Medium particles

  • Particles don’t settle

  • Ex: Milk, Fog, Mayonnaise


Suspension:

  • Heterogenous

  • Large particles

  • Particles settle

  • Ex: Fresh-squeezed lemonade,  muddy water, Italian salad dressing


Intro to the Periodic Table 1.3

Atomic Numbers





Atomic Mass











Electrons, Protons & Neutrons







Organisation






History


The Atomic Numbers show the number of protons, usually found in the left corner or bottom left when specifying


Average Mass of one atom, usually found below atomic symbol or top left when specifying

  • Made of protons and neutrons

  • Mass on periodic table is an average

  • Number of neutrons can vary, 

so atomic mass isn’t always the same in each version

  • These are called Isotopes


The number of electrons is always equal to the protons. To find neutrons, atomic mass is just AM-P=N

Electrons will equal protons unless it is charged.


Groups, or Columns, have similar chemical properties

Periods, or Rows, do not necessarily have similar chemical or physical properties


Dimitri Mendeleev made the first table in 1896. He’s Russian.

He organised elements by increasing atomic mass, elements with similar properties were grouped together. There were some discrepancies. 


Henry Moseley, a British man, in 1913, organised elements by increasing atomic numbers and that resolved the discrepancies. This would be the model used today.



Chp 2.1

Scientific Method












Model




Theory




Law



SI Base Units

Length

Mass

Time 

Temperature

Amount of substance


SI derived units

Area

Volume

Density

Energy


Density


Conversion factors


  1. Observations to find a question

  2. Gathering information about your questions & observations

  3. Hypothesis - if x, then y prediction, has to be able to be false

  4. Testing - Gathering Data

  5. Organise & Analyse Data

  6. Conclusions

  7. Publish results


Explanation as to how phenomena occur or how data or events are related (Ex: Bohr atomic model)


Broad generalisation that explains a body of facts or phenomena (Ex: Big Bang Theory)


Proven scientific fact, sometimes a math equation (Ex: E = MC^2)



l, uses metres

m, uses grams

t, uses seconds

T, uses kelvin (K) 

n, uses mole (mol)



A, square metre

V, cubic metre or litres

D, Kilograms per cubic metre

E, joule (J)


 Density = mass / Volume


Ratio derived from equality between two different units that can be used to convert one to the other. It can be found if you know the relationship between the two units (ex: 100 cm to 1 m or 1 m to 100 cm)

Chp 2.2

Accuracy



Precision



Percent Error






SigFigs Again



Scientific Notation





Direct variation


Indirect variation


How close a measurement is to the accepted value (correct)


How close a series of measurements are to each other (consistent)


Indicates the accuracy of a measurement

Formula: Error = (Accepted value - Expected value) / Accepted value X 100


The last digit is called the Digit of Uncertainty. 


Move decimal until there’s one digit to its left, places moved = exponent

Large # (1 >) → positive exponent

Small # (< 1) → negative exponent


Y = x


Y = 1/x

Chp 3.1

Law of Conservation of Mass







Law of Definite Proportions


















Law of Multiple Proportions






Dalton's Atomic Theory






Subatomic particles






Masses of Atoms

Mass Number




Isotopes






Relative Atomic Mass











Average Atomic Mass


Mass is neither created nor destroyed during ordinary chemical reactions or physical changes

  • Balancing a chemical equation

  • Mass of Reactants is equal to the Mass of Product


A given chemical compound always contains the same elements in the exact same proportions by mass

  • Ex: Water: 11.19% Hydrogen, 88.81% Oxygen by mass

    • You can divide by the bigger percent by the smaller one to get the approximate amount of the bigger element

    • 88.81/11.19 = 8, which means there’s about one hydrogen per eight oxygen

  • Water has a 2:1 ratio H:O by atoms



If two different compounds are composed of the same two elements, then the ratio of the masses of the second element are small whole numbers


Proposed as an explanation for the laws in 1808, when he reasoned that all elements were composed of atoms and only whole numbers of atoms can form compounds


Atoms → Electrons and Nucleus → Electrons → Negative charge & Nucleus → Protons and Neutrons → Protons → Positive charge &  Neutrons → Neutral charge



Mass # = protons + neutrons

  • Always a whole number

  • Not on the periodic table


Atoms of the same element with different mass numbers

  • Different number of neutrons

  • Hyphen notation

    • Ex: carbon-12, U-238


amu - atomic mass unit

Based upon carbon

Simplified system for masses of elements

  • 12^C atom = 1.992 * 10^-23 g

  • 1 amu = 1/12 the mass of a 12^C atom

  • Proton ~ 1 amu

  • Neutron ~ 1 amu

  • Electron ~ effectively 0 amu


Weighted average of all isotopes

  • On the periodic table

  • Round to two decimal places

  • Avg Atomic Mass = ((mass)(%)+(mass)(%)) / 100

Chp 3.2

Mole





Molar Mass




















STP


It’s very large

A counting number (like a dozen)

Avogrado’s number - (N^A)

1 mol = 6.02 * 10^23 items


Mass of 1 mole of a pure substance

  • Grams per mole

Usually rounded 2 decimal places

Molar masses of elements are found on the periodic table as the atomic mass

For a compound: Molar Mass equals sum of molar masses of each individual element


Grams (divide by molar mass) → Mole (multiply by avogardo’s number)→ Atoms


Atoms (divide by avogardo’s number)→ Mole (multiply by molar mass) → Grams


Never abbreviate molecules


Standard Temperature and Pressure

Temperature = 25 C = 

22.4 L

Chp 7

Percent Composition







Empirical Formula











Molecular Formula


=  mass of element (molar x how many times it is present) / total mass * 100

You can multiply the percent of an element by the total mass to get the element’s mass


Smallest whole number ratio of atoms in a compound

  • Basically reducing subscripts

The steps:

  • Find mass of each element

  • Find moles in each element

  • Divide moles by the smallest # to find subscripts

  • When needed, multiple by 2, 3 or 4 to get whole #’s.


The “True formula” - actual number of atoms in a compound

The Steps:

  • Find empirical formula

  • Find the empirical formula mass

  • Divide the molecular mass by the empirical mass

  • Multiply each subscript by the answer from 3

Empirical formula mass is the molecular mass of the empirical formula.

Chp 4

Wavelength






Frequency







Amplitude




Long wavelength and low frequency

Short wavelength and high frequency


Frequency and Wavelength






Quantum Theory



















Quantum Theory - energy of a photon formula





Length of one complete wave, upside down Y (lamda)

  • Typically crest to crest or trough to trough, former more common 


# of waves that pass a point during a certain time period, cycles per second

  • Measured in hertz (Hz) 1/s

  • Greater frequency shows colour


Distance from the origin to the trough or crest

  • The greater, the more intense


Means low energy

Means high energy



Inversely proportional, c = V

C = speed of light (3.00 * 10^8 m/s)

= wavelength (m, nm, etc, m = 1*10^9 nm)

V = frequency (Hz)


Planck (1900)

  • Observed emission of light from hot objects

  • Concluded energy is emitted in small, specific amounts (Quanta)

  • Quantum is the minimum amount of energy required for change


Einstein (1905)

  • Observed photoelectric effect

  • Concluded that light has properties of both waves and particles

    • “Wave-particle duality”

  • Photon - particle of light that carries a quantum of energy


Energy of a photon is proportional to its frequency: E = hV

E: Energy (J, joules)

h: Planck’s constant (6.6262 10^-34 J s)

V: frequency (Hz)

Chp 4.2

Bohr Model


In atoms, there are energy levels at different distances with different numbers of electrons

  • Increasing energy levels, means more energy, more electrons, and more unstable

  • All electrons want to be as close to level one as possible, and fill the lowest level first

  • Light can hit an electron, which results in energy being transferred to an electron, moving it up an energy level. It will move back down eventually and energy is released via light




Level – Electrons

N = 1  –     2

N = 2  –    8

N = 3  –   18

N = 4  –   32

N = 5  –   32

N = 6  –   18

N = 7  –    8

Chp 4.3

Quantum Model








Heisenberg Uncertainty Principle









Four Quantum numbers
















































Pauli Exclusion Principle


Louis de Broglie (1924)

  • Applied wave-particle theory to electrons

  • Electrons exhibit wave property

  • Diffraction patterns help prove this


Impossible to know both the velocity and position of an electron at the same time

  • To measure one, you impact the other

  • Possible positions of an electron in an atom are known as orbitals


Specify the address of each electron in an atom

  • Principal QN

    • As number n (1, 2, 3, …) increases:

      • Energy level increases

      • Size of the orbital increases

      • n^2 = # of orbitals in the energy level


  • Angular Momentum QN

    • Designates the shape of the atom (l), (0, 1, 2, 3)

    • L = [0, to  n -1]

      • s  - holds 2 electrons

      • p - holds 6 electrons

      • d - holds 10 electrons

      • f - holds 14 electrons

    • N = # of sublevels per level

    • # of sublevels (orbitals) - s - 1, p - 3, d - 5, f - 7

    • n^2 = total # of orbitals per level


  • Magnetic QN

    • m sub l, shows orientation of orbital

    • Specifies the exact orbital within each level

    • m sub l = [-l, l] (integers)


Orbitals combine to form a sphere shape


  • Spin QN 

    • Electron spin (m sub s)

    • Electron spin → +½ or -½ 

    • An orbital can hold two electrons that spin in opposite directions


No two electrons share the same ‘address’, or four quantum numbers

Each one has a unique address


  1. Principle # → energy level

  2. Angular Momentum # → sublevel (s, p, d, f)

  3. Magnetic # → orbital

  4. Spin # → electron

Chp 4.4

Aufbau Principle





















Hund’s Rule






Noble Gas Configuration








Stability


Electrons fill the lowest energy orbitals first, seeking stability and low energy, or “Lazy tenant rule”

  • Orbitals can be found in various parts, first two are S, last six are P, middle 10 are  D, the unattached row below is F.

  • For S & P, it’s equal to the periods for energy level

  • There’s no 1p

  • For d energy level = Period # - 1

  • For f energy level = Period # - 2

Neon = 1s^2 2s^2 2p^6

Oxygen = 1s^2 2s^2 2p^4


powers represent electrons in the orbital

You can tell based on columns in those blocks



Within a sublevel place one electron per orbital before pairing (empty bus rule)

You fill each empty orbital with 1 electron before pairing electron


You go to the most recent noble gas before it

  • Write the noble gas symbol in brackets & pick up electron configuration from there


As      [Ar] 4s^2 3d^10 4p^3


When an orbital is half filled, it is more stable than something partially filled

Balancing Equations





Write equation

Count atoms on each side

Find the ratio and what number is needed as the coefficient to balance it

If an element appears more than once per side balance it last

Mole to Mole Ratios

Moles are represented by subscripts in a compound & the coefficients in a balanced chemical equation