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ideal gas law
PV=nRT
boyle’s law
P1V1=P2V2
charles’ law
V1/T1=V2/T2
avogadro’s law
V1/n1=V2/n2
gay lussac’s law
P1/T1=P2/T2
pressure-moles relationship
P1/n1=P2/n2
combined gas law
P1V1/T1=P2V2/T2
density
ρ=mass/volume
density derived from ideal gas law
ρ=PMW/RT
molecular weight
MW=m/n
at STP (P=1 atm and T=273 K)
22.4 L/1 mol
at T=300 K
RT=25
partial pressure
Ptot=P1+P2+P3…
gas reaction stoichiometry
convert g to moles
find limiting reactant (doesn’t let full combustion reaction)
add moles of products that can be made
also add moles from reactants that are not combusted
convert using standards or ideal gas equation
change in volume
use given volume to find volume of others based on the ratio of their moles
Vproducts-Vreactants=change in V
kinetic molecular theory
simple, hard spheres
infinitely small compared to volume of a system (no volume)
elastic collisions, no sticking (no IMFs) or react
KE ↑ T ↑
m ↑ v ↓
velocity in a vacuum > velocities when diffusing
general combustion reaction
reactants: hydrocarbon CxHy + oxygen _O2 → carbon dioxide _CO2 + water _H2O
graham’s law for rate of effusion/diffusion at same temp
v1/v2=√(MW2)/(MW1)
maxwell-boltzmann distributions of gases: m constant, T changes
highest to lowest: Tlow, Tmed, Thigh
maxwell-boltzmann distributions of gases: T constant, m changes
mlarge, mmed, msmall
ideal gas conditions
P and n ↓, V and T ↑
“a” term
stickiness or IMFs; bigger means it’s less ideal
“b” term
size (MW); bigger means it’s less ideal
ideal gases
small and nonpolar (low IMFs or a, small or b)
non-ideal gases
large IMFs (high a) or large gases (high b)
increasing strength in IMFs
dispersion<dipole-dipole<h-bonding<ion-dipole
ionic
dominant in salts (metal and nonmetal pair) with a full formal charge
ionic relationships
increase with LE (charge, small atomic radii)
dipole-dipole
permanent dipoles (polar compounds)
dipole-dipole relationships
increase with change in EN
dispersion
occur from instantaneous dipoles formed by asymmetrically distributed e- (nonpolar)
molecules that have dispersion forces
all molecules have dispersion forces because they all have e-
dispersion relationships
increase with MW
more branching
weaker IMFs (dispersion)
more linear
stronger IMFs (dispersion)
h-bonding ranking
difference in EN, # of H-bonds
h-bonding exceptions
NH3<H2O<HF
properties of liquids direct to IMFs
boiling point, viscosity, surface tension, melting point, capillary action, ΔHvap, non-ideality
boiling point
bulf phenomenon where atmospheric pressure=vapor pressure of the liquid so the liquid becomes vapor
viscosity
liquid to resist pouring because of IMF attraction to bulk solution
surface tension
surface phenomenon which an inward force reduces the surface area of liquid
capillary action
surface phenomenon where liquid climbs the walls of the container due to IMF
ΔHvap
energy in IMF must be overcome for liquid on surface to vaporize
properties of liquids inverse to IMF
evaporation rate, vapor pressure, ideality
vapor pressure
pressure of vapor along surface of a liquid
evaporation rate
how quickly a liquid vaporizes from the surface of a liquid
types of solids
molecular, ionic, covalent network, metallic
molecular solids
small, covalent compounds held by IMFs (low MP)
ionic solids
ionic metal cation and nonmetal anion (salt)
metallic solids
between metals
covalent network solids
right side; long chains (diamond, cellulose, graphite, quartz (SiO2)) of covalently bonded atoms (high MP)