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3. Stoichiometry

Isotopes

isotopes: two atoms have the same number of protons but different numbers of neutrons
example:
Hydrogen-1: 1 proton, 0 neutrons
Hydrogen-2: 1 proton, 1 neutron
Hydrogen-3: 1 proton, 2 neutrons
mass spectrometer: machine that helps you figure out what percent of each isotope you have
mass spectroscopy.png
relative abundance: bar graph showing ratios
finding element from relative abundance graph: find element close to highest bar
mole (mol): 6.022 ⨉ 10²³
based on number of atoms in 12g of carbon
average atomic mass based on mass in 1 mole of element
calculating atomic mass of compounds: add atomic masses of components
chemical formulas tell mole ratios

Formulas

empirical formula: a compound ratio that cannot be reduced
An unknown compound contains 38.67% carbon, 16.22% hydrogen, and 45.11% nitrogen. What is the empirical formula?
change percentages into grams (100g)
38.67 g C
16.22 g H
45.11 g N
convert from grams to moles (dimensional analysis)
3.220 mol C
16.09 mol H
3.220 mol N
divide everything by the smallest number of moles
3.220/3.220 = 1 part C
16.09/3.220 = 5 parts H
3.220/3.220 = 1 part N
rewrite parts as empirical formula
CH₅N
molecular formula: a compound ratio that can be reduced
The molecular mass of CH₅N is 62.12 g/mol. What is the molecular formula?
take empirical formula and find molar mass
1 mol (12.011 g/mol) + 5 mol (1.009 g/mol) + 1 mol (14.007 g/mol) = 31.06 g
divide molecular mass by empirical mass
62.12 g / 31.06 g = 2
rewrite empirical formula as molecular formula
2 (CH₅N) = C₂H₁₀N₂

Balancing equations

image.png
reactants (left side)
yields (arrow)
products (right side)
state of matter
(g): gas
(l): liquid
(s): solid
(aq): aqueous

C₄H₁₀ + O₂ → CO₂ + H₂O
2 C₄H₁₀ + 13 O₂ → 8 CO₂ + 10 H₂O

Stoichiometry

math in chemistry
example: What mass of oxygen will react with 96.1 g of C₃H₈?
C₃H₈ (g) + 5O₂ (g) → 3 CO₂ (g) + 4H₂O (g)
change grams to moles
use a ratio to change to unit you are looking for
change from moles to grams
limiting reactant: the reactant which runs out first in a reaction
example: 2 slices of bread + 1 piece of meat + 1 piece of cheese = 1 sandwich
7 pieces of bread + 10 pieces of meat + excess cheese = 3 sandwiches
limiting reactant: bread
example: 2 NH₃(g) + 3 CuO (s) → N₂ (g) + 3 Cu (s) + 3 H₂O (g); 81.1 g NH₃, 90.4 g C₄O
which is the limiting reactant?
CuO is the limiting reactant
how many grams of N₂ are formed?
percent yield
theoretical yield: answer from the problem
actual yield: what happened in the experiment
example (from limiting reactant problem): actual yield was 6.63 g N₂
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