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stoichiometry
a branch of chemistry concerned with the relative amounts of reactants and products in a chemical reaction
balanced equation
coefficients show the mole proportion in each compound; must have same number of each type of atom on both sides of the equation
how to balance an equation
count the number of each atom on both sides
systematically adjust the coefficients to balance each atom
recount after each adjustment
repeat until balanced
special case scenarios when balancing equations
if an atom is in both products, count from both places and save it for last
if a polyatomic ion is unchanged between reactants and products, count it as a unit
if OH is one side and H2O is on the other, count H2O as H-OH
if it is a combustion reaction (products are CO2 and H2O), balance O last and use the fraction method
fraction method
use when there is a combustion reaction
the coefficient for O will be a fraction
multiply by 2 to cancel out the fraction
mole ratio
coefficients in a balanced equation
[coefficient of the unknown] / [coefficient of the given]
mass stoichiometry
grams of given → moles given using molar mass
moles given → moles answer using mole ratio
moles answer→ grams answer using molar mass
volume stoichiometry (gases)
L given → moles given using ideal gas law (PV = nRT)
moles given → moles answer using mole ratio
moles answer → L answer using ideal gas law
R = .08206 for atm, 8.31 for kPa
at standard temperature (273 K) and pressure (1 atm) [STP]: 1 mol = 22.4L
volume stoichiometry (solutions)
L given → moles given using molarity (mol/L)
moles given → moles answer using mole ratio
moles answer → L answer using molarity
limiting reactant
when reactants are not included in the exact proportions of the balanced equation, the reactant that is entirely consumed
limiting reactant calculation
convert given → moles given → moles answer
whichever is least is the limiting reactant
complete the stoichiometry calculation to determine how much product can be made
theoretical yield
found by doing a stoichiometry calculation
actual yield
found by measuring
percent yield
[actual yield] / [theoretical yield] * 100 to make it a percent
theoretical yield should be in same units as actual yield
combustion analysis
used to find unknown compounds contain carbon and hydrogen by combining them with oxygen
steps for combustion reaction
grams CO2 → mol CO2 (molar mass), mol CO2 → mol C (formula ratio: 1 C to 1 CO2)
grams H2O → mol H2O (molar mass), mol H2O → mol H (formula ratio: 2 H to 1 H2O)
divide moles of each element by the smallest mole value → use for the subscripts of the empirical formula
molecular formula
shows the exact number of each element in a compound
ex: molecules
empirical formula
shows the simplest formula of elements in a compound;
ex: ionic compounds
converting empirical formula to molecular formula
calculate the molar mass of the empirical formula
find n ([molar mass from molecular formula] / [molar mass from the empirical formula])
n * [empirical formula] = [molecular formula]
heteroatom
additional atoms other than C and H, like N, O, S, and/or halogens, in combustion analysis
combustion analysis with heteroatoms
grams CO2 → mol CO2 (molar mass) → mol C (formula ratio) → grams C (molar mass)
grams H2O → mol H2O (molar mass) → mol H (formula ratio) → grams H (molar mass)
mass (sample) - [mass (C) + mass (H)] = mass of heteroatom
grams heteroatom → mol heteroatom (molar mass)
divide moles of each element by moles of heteroatom
find molecular formula