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unsaturated solution
solution that contains less solute than it has the capacity to dissolve
saturated solution
solution that contains the maximum amount of solute that will dissolve in a solvent at a specific temp
supersaturated solution
solution that contains more dissolved solute than it present in a saturated solution
solution formation
solute dissolves in a solvent to form a solution
to form a liquid solution, the solute needs to separate into individual components, overcome IMF to make room and expand, than allow the solute and solvent to form a solution
predicting solubility for solids
increases with increasing temperature and not affected by increasing pressure
predicting solubility for gases
decreases with increasing temperature and increases with increasing pressure
intermolecular forces
London Dispersal < Dipole-Dipole < Hydrogen Bonding < Ion-Dipole
entropy factors
increasing temperature, volume, number of molecules, and complexity of molecules all increases the entropy of the substance due to microstates
When ∆H is (-) and ∆S is (+)
∆G is (-) so always spontaneous
When ∆H is (+) and ∆S is (-)
∆G is (+) so never spontaneous
When ∆H is (-) and ∆S is (-)
∆G is (-) at low temperatures but (+) at high temperatures
When ∆H is (+) and ∆S is (+)
∆G is (+) at low temperatures but (-) at high temperatures
vapor pressure
proportional to mole faction so it is higher for pure compounds compared to solutions
First Order Reactions
k[A]
k = 1 / s so graph is 1 / s vs T
t1/2 = ln(2) / k
ln[A] = -kt + ln[A]o
Second Order Reactions
k[A]2
k = 1 / Ms so graph is 1 / Ms vs T
t1/2 = 1 / k[A]o
1 / [A] = kt + 1 / [A]o
Zeroth Order Reactions
k
k = M / s so graph is M / s vs T
t1/2 = [A]o / 2k
[A] = -kt + [A]o
what step determines the rate of a reaction
slowest step
collision theory
molecules must collide with sufficient energy and in the correct orientation; more concentration, less volume, and higher temperature increases collision
chemical equilibrium
K = products / reactants
ignore solids and pure liquids
Q > K
reaction proceeds spontaneously in the reverse direction or shift left or products to reactants
Q < K
reaction proceeds spontaneously in the forward direction or shift right or reactants to products
Approximation of Reactant Favored
[A]o / Kc > 100
Le Chatelier’s Principle
if a system at equilibrium is distributed by a change in temperature, pressure, or the concentration of one of the components, the system will shift its equilibrium position so as to counteract the effect of the disturbance
Therefore, K only changes with temperature
ΔH > 0 (endothermic)
they have a direct relationship so temperature and K increases
ΔH < 0 (exothermic)
they have an inverse relationship so temperature increases and K decreases
Increasing reactant concentrations/pressures
denominator increases so Q decreases so Q < K
Increasing product concentrations/pressures
numerator increases so Q increases so Q > K
Increasing overall pressure with an inert gas
Q = K so no shift
Decrease Volume of Container
shift towards the side with less moles
Increase Volume of Container
shift towards the side with more moles
K >> 1
∆Go < 0 and spontaneous and product favored
Q >> 1
Q is most likely > K and is non-spontaneous in the reverse direction and ∆G > 0
K << 1
∆Go > 0 and non-spontaneous and reactant favored
Q << 1
Q is most likely < K and is spontaneous in the forward direction and ∆G < 0
Common Ion Effect
the shift in an equilibrium position caused by the addition or presence of an ion involved in the equilibrium reaction
Q < Ksp
solution is unsaturated (more salt will dissolve)
Q > Ksp
The solution is supersaturated (precipitation will occur)
Q = Ksp
The solution is saturated (at equilibrium)
Acid
Produces hydrogen ions (H+) in an aqueous solution and H+ donor
Base
Produces hydroxide ions (OH-) in an aqueous solution and H+ acceptor
Conjugate Base
What remains of an molecule after a proton is lost
Conjugate Acid
The species formed when a proton is transferred to
Strong acids and bases
K = 106 to 1010
Weak acids and bases
K = 10-3 to 10-10
Polyprotic acids
Acids that have more than one dissociable proton
salt of a strong base and a strong acid
no hydrolysable ions and gives neutral aqueous solutions
salt of a strong base and a weak acid
hydrolyze and a basic solution
salt of a weak base and a strong acid
hydrolyze and a acidic solution
salt of a weak base and a weak acid
hydrolyze and will depend on the relative acid-base strengths of the two ions
Buffer solution
A solution that resists a change in its pH when either hydroxide ions or protons are added and resist drastic change in pH
weak acid/base and its conjugate base/acid
can use Henderson-Hasselbalch equation
Buffering capacity
the ability of a buffered solution to absorb protons or hydroxide ions without a significant change in pH; determined by the magnitude of [HA] and [A-] in the solution
0.1 < [A-]/[HA] < 10
strong acid + strong base titration
The initial pH (at about 12 which is a strong base at first)
Between the Initial pH and equivalence point (midway point between the middle and beginning)
The equivalence point (7 for strong acid strong base and the mols of acid = mols base)
After the equivalence point (at about 0 which is a strong acid now)
You can also start with a strong acid and add a strong base, which gives an analogous titration curve
strong acid + weak base titration
The initial pH
Buffer Region
Equivalence point (not 7, but below)
After the equivalence point
equivalence point happens when second derivative = 0
when volume added = 1/2 volume at equivalence point, pH = pKa
weak acid + strong base titration
The initial pH
Buffer Region
Equivalence point (not 7, but above)
After the equivalence point
equivalence point happens when second derivative = 0
when volume added = 1/2 volume at equivalence point, pH = pKa
Reduction
gaining the electron → oxidizing agent
Oxidation
losing the electron → reducing agent
Anode
where oxidation occurs
Cathode
where reduction occurs
Line notation
oxidation anode (s) | oxidation anode (aq) || reduction cathode (aq) | reduction cathode (s)
Electrolysis
find the moles of electrons transferred then:
current and time → quantity of charge in coulombs → moles of electrons → moles of element → grams of element
oxidation anode
Zn(s) → Zn2+(aq) + 2e-
reduction cathode
2e- + 2Ag+(aq) → 2Ag(s)