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Buffer
A solution that resists changes in pH when small amounts of acid or base are added.
Components of a buffer
Weak acid + conjugate base OR weak base + conjugate acid.
Best buffer pH range
pH ≈ pKa ± 1.
Henderson–Hasselbalch equation
pH = pKa + log([A⁻]/[HA]).
When to use Henderson–Hasselbalch
When both weak acid and conjugate base are present (buffer present).
What happens when strong acid is added to a buffer
H⁺ reacts with A⁻ → HA; pH decreases slightly.
What happens when strong base is added to a buffer
OH⁻ reacts with HA → A⁻; pH increases slightly.
Buffer capacity
How much acid/base a buffer can neutralize before pH changes significantly.
Strong acid + buffer reaction equation
H⁺ + A⁻ → HA.
Strong base + buffer reaction equation
OH⁻ + HA → A⁻ + H₂O.
How to choose a buffer
Choose a weak acid with pKa close to desired pH.
Titration
A method to determine concentration by reacting unknown solution with known solution.
Equivalence point
Point where moles of acid = moles of base.
Strong acid–strong base equivalence point
pH = 7.
Weak acid–strong base equivalence point
pH > 7 due to basic conjugate base formed.
Weak base–strong acid equivalence point
pH < 7 due to acidic conjugate acid formed.
Half-equivalence point
The point where [HA] = [A⁻]; pH = pKa.
Indicator
A substance that changes color at specific pH ranges; used to detect equivalence point.
Solubility
The amount of solute that dissolves in a given amount of solvent at a given temperature.
Molar solubility
The number of moles of solute that dissolve per liter of solution.
Solubility product constant (Ksp)
Equilibrium constant for the dissolution of an ionic solid.
Expression for Ksp
Product of ion concentrations raised to their coefficients; solids not included.
Common ion effect
Decreased solubility when a common ion is added.
Ion product (Qsp)
Calculated like Ksp but using initial concentrations.
If Qsp < Ksp
Solution is unsaturated; more solid dissolves.
If Qsp = Ksp
Solution is at equilibrium; saturated.
If Qsp > Ksp
Precipitation occurs; solution is supersaturated.
Factors that increase solubility of ionic compounds
Adding acid to dissolve basic salts (like carbonates).
Ksp vs solubility
A higher Ksp usually means higher solubility.
Effect of pH on solubility
Salts with basic anions dissolve better in acidic solutions.
Ksp calculation for 1:1 salts (AB)
If AB → A⁺ + B⁻, then Ksp = s².
Ksp calculation for 1:2 salts (AB₂)
If AB₂ → A⁺ + 2B⁻, then Ksp = 4s³.
Ksp calculation for 2:3 salts (A₂B₃)
If A₂B₃ → 2A³⁺ + 3B²⁻, then Ksp = 108s⁵.
Selective precipitation
Using differences in Ksp values to precipitate one ion before another.