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22 Cards in this Set

  • Front
  • Back
Auto Dissociation of Water
Water is amphoteric
H₂O + H₂O ↔ H₃O⁺ + OH⁻

Kw = [H₃O⁺][OH⁻] = 1x10⁻¹⁴
@ standard conditions (25° C and 1 atm)

pKw = pH + pOH = 14
@standard conditions (25° C and 1 atm)

describes range of pH and pOH scales
pH/pOH scales
pH - most acidic is 0 least acidic 14

pOH - most basic is 0 least basic is 14

neutral solutions have pH and pOH of 7 (equal quantities of both)
pKa/pKb conjugates
Kw = (Ka)(Kb) = 1x10⁻¹⁴
@standard conditions

pKa + pKb = 14
compares strength of conjugate acids and bases

Can ONLY be used to compare conjugates
Types of pH/pOH problems
Strong Acid - SA
Strong Base -SB

Weak Acid - WA
Weak Base - WB

mixture of acid and base
- Neutralization of SA with SB or vice versa
- Neutralization of SA with SB or vice versa
- Buffered solutions (mix of conjugate acids and
bases)
Strong Acid pH calculation
pH = -log [SA]

watch out for H₂SO₄ as it is diprotic and you will have to multiply [SA] by 2
- can get negative pH
estimating -log [x]
if x = 1 x 10 ⁻ⁿ then the negative log is = n

if x > 1 x 10⁻ⁿ then negative log is <n
Strong Base pOH calculation
pOH = - log [SB]

pH = 14 - pOH

watch out for diprotic SB in which you will have to double SB concentration
- can get pH greater than 14
Calculating pH of weak acids
ICE table if necessary

--------------------- HA -- ↔ -- A -- H --
initial------------- given -- -- 0 -- 0 --
@ equilibirum-- given-x -- -- x -- x --

-then plug @ equilibrium into Ka equation
- ditch -x as it is arbitrary

there is no need to reproduce ice table unless there are already initial concentrations

-½log(Ka[WA])
Calculating pOH of weak bases
ICE table if necessary

--------------------- A -- ↔ -- HA -- OH --
initial------------- given -- -- 0 -- 0 --
@ equilibirum-- given-x -- -- x -- x --

-then plug @ equilibrium into Kb equation
- ditch -x as it is arbitrary

there is no need to reproduce ice table unless there are already initial concentrations

-½log(Kb[WB])
Mixing SA & SB
Determine quantity assuming 100% neutralization
- H⁺ + OH⁻ → H₂O
- always exothermic

Determine the pH of acid or base
- easier to figure out moles remaining and then
figure out concetrations

Changes in volume are negligble
Mixing SA & WB or SB and WA
HA + OH → H₂O + A⁻

if SA/SB in excess it determines pH of solution use SA/SB tech

if WA/WB in equal amount to SA/SB then use WA/WB tech with remaining WA/WB

if WA/WB in excess then determine pH of resultant buffer solution
Buffers
Mix of WA/WB conjugate pair

Minimize changes in pH but do not eliminate changes

Buffer capacity is the concentrations of acid/base that can be absorbed
- [WA] = buffers base capacity
- [WB] = buffers acid capacity
- Henderson Hasselback eaquation
pH = pKa + log (WB/WA)
Other uses of Henderson Hasselbach
if pH and pKa are known then ratio of protonated (WA) to deprotonated (A⁻) ratio

i.e. when pH = pKa ratio in fraction must be 1 to 1 (log 1x10⁰) and mixture must be 50/50

if pH < pKa then acid will be more protonated (WA form)

if pH > pKa then acid will be more deprotonated (WB form)

for every change of 1 in pH a 9 will be added into the percentage protonated vs. deprotonated
i.e.
change of 0 pH = 50%
change of 1 pH = 90%
change of 2 pH = 99%
change of 3 pH = 99.9%
titrations (general definition)
-can be used to find concentrations of unknown

-Always use strong acid or strong base as titrant

-unknown sample + known titrant
Shape of Titration curves
low to high pH = Strong acid w/ strong base (relatively straight lines)

high to low pH = Strong Base w/ Strong acid (relatively straight lines)

Low to high pH curvy = Weak acid w/ strong base

High to low pH curvy = weak base w strong acid
Equivalence Point
Equal amounts of titrant and sample (1:1 ratio)
- All reactants (titrant and substance) used up
· SB + SA = neutralization
· SB + WA = A⁻ (conjugate of WA) in soln
· SA + WB = HA (conjugate of WB) in soln
- 1:1 ratio
- n₁M₁V₁ = n₂M₂V₂

Halfway up vertical component of curve

Two equivalence points = diprotice A/B
Half Equivalence Point
half as much titrant than sample (1:2 ratio)

NO point for for SA/SB and SB/SA only works for
buffered systems

Half equivalence points halfways across horizontal portions of titration curves
Indicator
within 1 unit of the pKa of whatever point you want to indicate
Strong Acid + Strong Base (or vice versa)
curve will have very straight lines

equivalence point will be at exactly pH = 7

No half equivalence point
Titration of Weak Acid with Strong Base
equivalence point > 7 (only A⁻ present as HA and titrant neutralize each other)

Buffer region (excess WA vs Titrant) pH determined by buffer system of HA and A⁻

After equivalence point pH determined by amount SB as it is in excess and all HA used up
Titration of Weak Base with Strong Acid
equivalence point < 7 (only HA present as titrant and A⁻ neutralize each other)

Buffer region (excess WB vs Titrant) pH determined by buffer system of A⁻ and HA

After equivalence point pH determined by amount SA as it is in excess and all A⁻ used up
Weak Diptotic Acid w/ Strong Base
pH of equivalence point = average of pKa's of half equivalence points (2 of them in diprotic)
- pH = ½(pK₁ + pK₂) (which will be > 7)

H₂A + SB → HA⁻ SB → A⁻