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add/subtract
lest amount of digits past the decimal
mult/divide
least number of sigfigs
exponents
only numbers past the decimal are significant
last digit is uncertain by 1
basic assumption of sigfigs
homogenous mixtures
evenly spread out
solutions
particles molecule sized (clear)
colloids
particles are larger ex: milk or smoke clouds
gas gas
air
gas liquid
pop/soda
gas solid
H2 in Pd
liquid liquid
H2O and ethanol
liquid solid
Hg in Ag
solid liquid
NaCl(aq)
solid solid
alloys like bronze
like dissolves like
if the IMFs between solvent molecules are similar to IMFs between solute molecules solute is soluble in solvent
enthalpy change at constant pressure
∆H
endo/need energy
∆H>0
exo/gives off
∆H<0
∆solnH
∆Hsolvent-solvent + ∆Hsolute-solute + ∆Hsolute-solvent =
separating solvent molecules
∆Hsolvent-solvent>0 energy is needed to break IMFs
separating solute molecules
∆Hsolute-solute>0 energy is needed to break IMFs
combine solute and solvent molecules
∆Hsolute-solvent<0 energy is given off as they form IM attractions
temp will decrease
if ∆solnH is positive (∆H>0)
temp will increase
if ∆solnH is negative (∆H<0)
molarity
CB = nB/V (mol/L)
mole fraction
xB = nB/n (none)
mass percent
pB = 100mB/m (%)
molality
bB = nB/mA (mol/kg)
colligative properties
properties that depend on the amount of solute dissolved not its identity
4 colligative properties
raoults law, freezing point depression, boiling point elevation, and osmosis
miscible
solute and solvent will mix in any proportion
temperature and pressure
if not miscible amount of solute that dissolves depends on
more soluble
in general solids in liquids at higher T
less soluble
gasses in liquids at higher T
no affect
pressure on solubility of liquids and solids
large effect
pressure on solubility of gasses
saturated
maximum amount of solute has dissolved in solution
henrys law
the solubility of a gas in a liquid at a given temp is directly proportional to the partial pressure of the gas over the solution
henrys law equation
cB = kpB
pressure increase
gas particles forced in solution > gas particle leaving solution so gas solubility increases until equilibrium is reached
nonvolatile solute
has no vapor pressure of its own
volatile solute
has significant vapor pressure of its own
if solute is volatile
the vapor pressure of mixture is intermediate between vapor pressure of 2 pure liquids
if solute is nonvolatile
the vapor pressure of solution is ALWAYS lower than that of pure solvent
raoults law for nonvolatile solute +
pA = xAp*A
raoults law for volatile solute
p = xAp*A + xBp*B
ideal solution
a solution that obeys raoults law and IMFs between solute molecules = IMFs between solvent molecules
more dilute
all solutions get more ideal as solutions get
i
vant hoff factor = moles of particle in solution/moles of solute added
vant hoff factor is
actual extent of dissociation since ionic substance rarely dissociate completely
boiling point
∆Tb = kbbBi
freezing point
∆Tf = -kfbBi
osmotic pressure
∏ = icBRT
reverse osmosis
influx of pressure>∏ causing high conc water to move to lower conc water (seawater→pure water)
rate
-1/a ∆[A]/∆t = -1/b ∆[B]/∆t = 1/c ∆[C]/∆t = 1/d ∆[D]/∆t
reaction rate
change in concentration(molarity)/change in time
positive
reaction rates must be
why negative A and B
A/B are reactants so ∆[A] will be negative
why 1/a
to keep rates equal when some are used up more than other
slow down
as time goes on reaction rates
less reactant left to react
why do reaction rates slow down as time goes on?
average rate
involves finite concentrations/finite time
instantaneous rate
rate at a specific point in time