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Aqueous Ionic Equilibrium: Buffers, Titrations, and Solubility

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Aqueous Ionic Equilibrium

Acidosis and Buffering in Blood

Aqueous ionic equilibrium is crucial for maintaining physiological pH, especially in blood. The body uses buffers to resist changes in pH, preventing conditions like acidosis, which can compromise oxygen transport.

  • Acidosis: Occurs when blood pH drops below normal, often due to accumulation of acidic metabolites such as glycolic acid.

  • Buffering System: The primary buffer in blood is a mixture of carbonic acid (H2CO3) and bicarbonate (HCO3-).

  • Example: Ethylene glycol (antifreeze) is metabolized to glycolic acid, overwhelming the blood's buffer and causing acidosis.

Blood pH measurement and pH scale

Additional info: The pH of blood is tightly regulated around 7.4; deviations can be life-threatening.

Ethylene Glycol and Glycolic Acid

Ethylene glycol is a common component of antifreeze. It is metabolized in the liver to glycolic acid, which is toxic due to its effect on blood pH.

  • Ethylene Glycol: A diol with the formula HOCH2CH2OH.

  • Glycolic Acid: An alpha-hydroxy acid (HOCH2COOH) formed from ethylene glycol metabolism.

  • Toxicity Mechanism: Glycolic acid lowers blood pH, leading to acidosis.

Ethylene glycol molecular modelGlycolic acid molecular model

Buffer Solutions

Definition and Function

Buffers are solutions that resist changes in pH when small amounts of acid or base are added. They are typically made by mixing a weak acid with its conjugate base or a weak base with its conjugate acid.

  • Weak Acid/Conjugate Base Buffer: Example: Acetic acid (HC2H3O2) and sodium acetate (NaC2H3O2).

  • Weak Base/Conjugate Acid Buffer: Example: Ammonia (NH3) and ammonium chloride (NH4Cl).

Formation of a buffer solution

Buffer Action: Addition of Acid or Base

Buffers neutralize added acids or bases by shifting equilibrium according to Le Châtelier’s Principle.

  • Addition of Base: HA + OH- → A- + H2O

  • Addition of Acid: H+ + A- → HA

Common Ion Effect

The common ion effect occurs when a salt containing the conjugate base of the buffer acid is added, shifting the equilibrium and increasing the pH.

  • Example: Adding NaA to HA(aq) + H2O(l) ⇌ A-(aq) + H3O+(aq) shifts equilibrium left.

Common ion effect demonstration

Buffer Calculations: Acetic Acid Example

To calculate the pH of a buffer, use the equilibrium expression for the weak acid and its conjugate base.

  • Equilibrium Expression:

Ka expression for acetic acid bufferKa expression for acetic acid buffer

Approximation: If x is small, M

Acetate concentration calculation

Buffer Calculations: Hydrofluoric Acid Example

Similar calculations apply for buffers made from HF and KF.

  • Equilibrium Expression:

Ka expression for HF bufferKa expression for HF buffer

Henderson-Hasselbalch Equation

The Henderson-Hasselbalch equation simplifies buffer pH calculations when the "x is small" approximation is valid.

  • Equation:

Henderson-Hasselbalch equation

Buffer Calculations: Benzoic Acid Example

For a buffer made from benzoic acid and sodium benzoate:

  • Example Calculation:

Henderson-Hasselbalch calculation for benzoic acid buffer

Buffer Calculations: HF Example

For a buffer made from HF and KF:

  • Example Calculation:

Henderson-Hasselbalch calculation for HF bufferHenderson-Hasselbalch calculation for HF buffer

Buffer Response to Added Acid or Base

When acid or base is added to a buffer, a stoichiometric calculation is performed to determine the new concentrations, followed by an equilibrium calculation for the new pH.

  • Example: Adding NaOH to an acetic acid/acetate buffer.

Buffer calculation after addition of baseBuffer calculation after addition of baseBuffer calculation after addition of baseBuffer calculation after addition of baseBuffer calculation after addition of baseBuffer calculation after addition of baseBuffer calculation after addition of base

Buffering Effectiveness

Relative and Absolute Concentrations

The effectiveness of a buffer depends on the relative and absolute concentrations of acid and base.

  • Relative Amounts: Most effective when [acid] = [base].

  • Absolute Concentrations: Most effective when both concentrations are large.

Effect of relative amounts of acid and base in bufferEffect of absolute concentrations in buffer

Buffering Capacity and Range

Buffering capacity is the amount of acid or base a buffer can neutralize. The effective pH range is pKa ± 1.

  • Buffering Capacity: Increases with higher concentrations.

  • Buffering Range: Effective when .

Buffering capacity: concentrated vs dilute buffer

Titration and Indicators

Acid-Base Titration

Titration is a technique to determine the concentration of an unknown solution by reacting it with a solution of known concentration.

  • Endpoint: The point at which the reaction is complete, often indicated by a color change.

  • Equivalence Point: When moles of acid equal moles of base.

Titration setup and endpointTitration setup and endpoint

Titration Curves

A titration curve plots pH versus volume of titrant added. The inflection point is the equivalence point.

  • Strong Acid/Strong Base: Equivalence point at pH 7.

  • Weak Acid/Strong Base: Equivalence point above pH 7.

  • Weak Base/Strong Acid: Equivalence point below pH 7.

Titration curve: strong acid vs strong base

Indicators

Indicators are weak acids or bases that change color depending on the pH of the solution. They are used to visually determine the endpoint of a titration.

  • Phenolphthalein: Colorless in acidic, pink in basic solutions.

  • Methyl Red: Red in acidic, yellow in basic solutions.

Phenolphthalein indicator color changePhenolphthalein indicator color changeMethyl red indicator color change

Solubility Equilibria

Solubility Product (Ksp)

The solubility product, Ksp, is the equilibrium constant for the dissolution of an ionic solid in water.

  • General Form: For MnXm(s) ⇌ nMm+(aq) + mXn-(aq),

  • Example: PbCl2(s) ⇌ Pb2+(aq) + 2 Cl-(aq),

Solubility product example

Common Ion Effect on Solubility

Addition of a soluble salt containing a common ion decreases the solubility of an "insoluble" salt.

  • Example: Adding NaCl to PbCl2 equilibrium decreases PbCl2 solubility.

Effect of pH on Solubility

Solubility of ionic hydroxides decreases with increasing pH, while solubility of salts containing weak acid anions increases with decreasing pH.

  • Example: M(OH)n(s) ⇌ Mn+(aq) + nOH-(aq)

  • Example: M2(CO3)n(s) ⇌ 2 Mn+(aq) + nCO32-(aq)

Precipitation and Selective Precipitation

Precipitation occurs when the ion product Q exceeds Ksp. Selective precipitation is used to separate ions based on their differing Ksp values.

  • Q = Ksp: Solution is saturated, no precipitation.

  • Q < Ksp: Solution is unsaturated, no precipitation.

  • Q > Ksp: Precipitation occurs.

Precipitation and supersaturationPrecipitation and supersaturation

Complex Ion Formation

Complex Ions and Formation Constants

Transition metals often form complex ions with ligands. The equilibrium constant for complex ion formation is called the formation constant, Kf.

  • Example: Ag+(aq) + 2 NH3(aq) ⇌ Ag(NH3)2+(aq)

Formation constants for complex ions

Effect of Complex Ion Formation on Solubility

The solubility of an ionic compound increases in the presence of ligands that form strong complexes with the metal ion.

  • Example: Adding NH3 to AgCl(s) increases Ag+ solubility.

Complex ion formation increases solubility

Amphoteric Metal Hydroxides

Some metal hydroxides are amphoteric, meaning they can dissolve in both acidic and basic solutions by acting as either an acid or a base.

  • Examples: Al3+, Cr3+, Zn2+, Pb2+, Sb2+

Amphoteric metal hydroxide solubility

Additional info: Amphoteric behavior is important in qualitative analysis and environmental chemistry.

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