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AP Chemistry
  • Pages
    • Class
      • Laboratory report rubric
      • Notes
        • 1. Chemical foundations
        • 2. Atoms, molecules, and ions
        • 3. Stoichiometry
        • 4. Types of chemical reactions and solution stoichiometry
        • 5. Gases
        • 6. Thermochemistry
        • 7. Atomic structure and periodicity
        • 8. Bonding: general concepts
        • 9. Covalent bonding: orbitals
        • 10. Liquids and solids
        • 11. Properties of solutions
        • 12. Chemical kinetics
        • 13. Chemical equilibrium
        • 14. Acids and bases
        • 15. Acid-base equilibria
        • 16. Solubility and complex ion equilibria
        • 17. Spontaneity, entropy, free energy
        • 18. Electrochemistry
      • Drug unit
        • Basics
        • Analgesics
        • Antacids
        • Anesthetics
        • Depressants
        • Stimulants
        • Antibiotics
        • Antiviral drugs
        • Mind-altering drugs
    • Textbook (incomplete)
      • 1. Chemical foundations
      • 2. Atoms, molecules, and ions
      • 3. Stoichiometry
      • 4. Types of chemical reactions and solution stoichiometry
      • 5. Gases
      • 6. Thermochemistry
      • 7. Atomic structure and periodicity
      • 8. Bonding: general concepts
    • CED
      • 1. Atomic structure and properties
      • 2. Compound structure and properties
      • 3. Properties of substances and mixtures
      • 4. Chemical reactions
      • 5. Kinetics
      • 6. Thermochemistry
      • 7. Equilibrium
      • 8. Acids and bases
      • 9. Thermodynamics and electrochemistry

3. Stoichiometry

Counting by weighing

chemical stoichiometry: studying quantities of materials consumed and produced in chemical reactions
atoms are small; samples of matter contain huge numbers of atoms
determine number of atoms in a given sample by finding its mass
figure out average mass of atoms

Atomic masses

modern system of atomic masses: based on ¹²C (carbon twelve) as weighing exactly 12 atomic mass units (amu); all other atoms are relative to this standard
most accurate method for comparing masses of atoms: using mass spectrometer
determine mass values for individual atoms
atoms/molecules passed into beam of high-speed electrons
knock electrons off the atoms/molecules being analyzed; change into positive ions
applied electric field accelerates ions into magnetic field; interacts with applied magnetic field, changing path of ion
amount of path deflection depends on mass (more mass moves less), causing ions to separate
comparison of positions → relative masses
also used to determine isotopic composition of natural element
average atomic mass: relative average of atomic masses based on isotopic composition
finding
multiply percentage and mass value of each isotope
add values together
natural carbon does not contain a single atom with mass 12.01, but for stoichiometric purposes, we can consider carbon to be composed of only one type of atom with a mass of 12.01

The mole

mole (mol): number equal to number of carbon atoms in exactly 12 g of pure ¹²C
also called Avogadro’s number
one mole of something consists of 6.022 ⨉ 10²³ units of that substance
sample of natural element with mass equal to the element’s atomic mass expressed in grams contains 1 mole of atomsd

Molar mass

molar mass: mass in grams of 1 mole of the compound (also called molecular mass)
found by summing masses of component atoms
units
molecular compounds: molecules
ionic compounds: formula units

Solving problems

two ways to approach a problem
memorization/pigeonholing
label the problem (which pigeonhole fits)
requires new set of steps when problem changes
conceptual problem solving
understanding the big picture
looks within the problem for a solution
problem guides you as you solve it
ask questions and use knowledge to answer them
where are we going?
read the problem and decide on the final goal
sort through the facts given
focus on key words
draw diagram if appropriate
state problem as simply and visually as possible
how do we get there?
decide where to start (e.g. with chemical reaction in stoichiometry problem)
ask questions as you proceed
what are the reactants and products?
what is the balanced equation?
what are the amounts of reactants?
understanding of fundamental principles of chemistry will enable you to answer the simple questions and final solution
reality check: is the answer reasonable?

Percent composition of compounds

two common ways of describing the composition of a compound
numbers of constituent atoms
percentages (by mass) of elements
compare mass of each element present in one mole of compound compared to total mass of 1 mole of the compound
mass percent (or weight percent): proportion of a particular substance in a mixture as a percentage of the total mass

Formula of a compound

often determined by taking weighted sample and decomposing it into component elements or reacting it with oxygen to produce substances to collect and weigh
for each element present:
determine molar mass of produced substances
determine fraction of element present by mass for the substance (mass of element divided by total mass of substance)
multiply fraction by given amount of substance
determine mass percent of element in the compound
convert masses of elements to numbers of atoms
base calculations on 100 g of compound
determine number of moles of each element present in 100 g of compound using atomic masses
divide each value of number of moles by smallest of the values
if numbers are not whole numbers, multiply by an integer so results are all whole
gives empirical formula: simplest whole-number ratio of elements in the compound
to specify molecular formula (exact formula of compound), must know molar mass
empirical formula mass and molar mass
molecular formula from mass percent and molar mass
determine mass of each element in 1 mole of compound
determine number of moles of each element in 1 mole of compound
integers of step represent subscripts of molecular formula

Chemical equations

chemical reactions
chemical change involves reorganization of atoms
representation of a chemical reaction using chemical formulas and symbols
reactants on left side of arrow
products on right side of arrow
balancing a chemical equation: all atoms present in the reactants must be accounted for among the products
bonds broken; new ones formed
atoms are neither created nor destroyed
same number of each type of atom on the product and reactant sides
meaning of chemical equation
information given
nature of reactants and products
relative numbers of reactants and products
often give physical state
(s): solid
(l): liquid
(g): gas
(aq): aqueous solution; dissolved in water
atoms and mass are conserved
Information from combusting methane equation
Reactants
Products
CH₄(g) + 2O₂(g)
CO₂(g) + 2H₂O(g)
1 molecule + 2 molecules
1 molecule + 2 molecules
1 mole + 2 moles
1 mole + 2 moles
6.022 × 10²³ molecules + 2 (6.022 × 10²³ molecules)
6.022 × 10²³ molecules + 2 (6.022 × 10²³ molecules)
16 g + 2 (32 g)
44 g + 2 (18g)
80 g reactants
80 g products
There are no rows in this table

Balancing chemical equations

the formulas of the compounds must never be changed in balancing a chemical equation
identities of reactants and products do not change
only change coefficients
when balancing, use trial and error and start with compounds with more atoms

Stoichiometric calculations

chemical equations can be used to determine masses of reacting chemicals
write balanced equation for the reaction
convert known mass of reactant/product to moles
use balanced equation to set up the mole ratios (ratio of moles of substances in reaction)
convert from moles back to grams if required

Limiting reactant

stoichiometric mixture: mixture that contains the relative amounts of reactants that match the numbers in the balanced equation
to determine how much product can be formed from a given mixture of reactants, find the limiting reactant
limiting reactant: reactant that runs out first and limits the amount of product that can form
finding limiting reactant
using reactant quantities (3 ways)
calculate moles of reactants present and compare to molar ratio
start with given amount of one element and calculate moles of other element needed
compare mole ratio of substances required by balanced equation with mole ratio of reactants actually present
using quantities of products formed
use amounts of reactants to determine how much product will form if each element is used up
smaller amount of product produced has limiting reactant
theoretical yield: amount of product formed when limiting reactant is completely consumed (maximum amount)
percent yield: actual yield often given as percentage of theoretical yield
solving stoichiometry problem with masses of reactants and products
write and balance equation
convert known masses of substances to moles
determine which reactant is limiting
use amount of limiting reactant and appropriate mole ratios to compute number of moles of desired product
convert from moles to grams using molar mass
 
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