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Colligative Properties, Colloids, and Reaction Rates: Study Notes for General Chemistry

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Colligative Properties

Osmosis and Osmotic Pressure

Osmosis is the movement of solvent molecules (typically water) through a semipermeable membrane from a region of lower solute concentration to a region of higher solute concentration. This process continues until equilibrium is reached, where the osmotic pressure balances the flow.

  • Semipermeable Membrane: Allows passage of solvent but not solute particles.

  • Osmotic Pressure (\( \Pi \)): The pressure required to stop the net flow of solvent across the membrane.

  • Formula: \( \Pi = iMRT \), where i is the van't Hoff factor, M is molarity, R is the gas constant, and T is temperature in Kelvin.

  • Biological Relevance: Cells maintain osmotic pressure to regulate water intake and loss.

  • Example: Water flows from less salty to more salty side, as seen in cellular environments.

Diagram of osmosis: net movement of water from pure solvent to solution side Diagram of osmosis at equilibrium: no net movement of water Diagram showing pressure applied to equalize fluid levels, representing osmotic pressure

Effects of Osmosis on Cells

Osmosis can cause cells to shrink or swell depending on the surrounding solute concentration. In hypotonic environments, water enters the cell, while in hypertonic environments, water leaves the cell.

  • Hypotonic Solution: Lower solute concentration outside the cell; water enters, cell swells.

  • Hypertonic Solution: Higher solute concentration outside the cell; water leaves, cell shrinks.

  • Isotonic Solution: Equal solute concentration; no net water movement.

  • Example: Crenation (shrinking) and hemolysis (swelling) of red blood cells.

Diagram showing crenation and hemolysis of cells due to osmosis

Reverse Osmosis

Reverse osmosis is a process where pressure is applied to overcome osmotic pressure, forcing solvent to move from a concentrated solution to a dilute one. This is commonly used in water purification.

  • Application: Desalination of seawater to produce fresh water.

  • Mechanism: Uses a membrane and applied pressure to separate solute from solvent.

Diagram of reverse osmosis membrane element inside a pressure vessel

Colloids

Definition and Properties

A colloid is a mixture where particles (solute-like) are dispersed in another substance (solvent-like) and are sized between 5 and 1000 nm. Colloids exhibit unique properties such as the Tyndall effect, where light is scattered by the dispersed particles.

  • Colloidal Dispersion: Particles are larger than those in solutions but smaller than those in suspensions.

  • Tyndall Effect: Scattering of light by colloidal particles.

  • Stability: Colloids do not settle out upon standing.

Tyndall effect demonstration in colloidal dispersion

Types of Colloids

Colloids are classified based on the phases of the dispersing and dispersed substances. Common types include aerosols, foams, emulsions, and sols.

  • Aerosol: Gas dispersed in liquid or solid (e.g., fog, smoke).

  • Foam: Gas dispersed in liquid (e.g., whipped cream).

  • Emulsion: Liquid dispersed in another liquid (e.g., milk).

  • Sol: Solid dispersed in liquid (e.g., paint).

Phase of Colloid

Dispersing Substance

Dispersed Substance

Colloid Type

Example

Gas

Gas

Gas

—

None (all are solutions)

Gas

Gas

Liquid

Aerosol

Fog

Gas

Gas

Solid

Aerosol

Smoke

Liquid

Liquid

Gas

Foam

Whipped cream

Liquid

Liquid

Liquid

Emulsion

Milk

Liquid

Liquid

Solid

Sol

Paint

Solid

Solid

Gas

Solid foam

Marshmallow

Solid

Solid

Liquid

Solid emulsion

Butter

Solid

Solid

Solid

Solid sol

Ruby glass

Table of types of colloids with examples

Examples of Colloids

Colloids are found in everyday substances such as milk, opal, and gold sols. The structure and properties of colloids can be observed under magnification.

  • Raw and Pasteurized Milk: Differences in colloidal structure affect properties.

  • Opal: Contains spheres of colloidal SiO2.

  • Gold Colloids: Used in stained glass and scientific research.

Microphotography of raw and processed milk Opal containing spheres of colloidal SiO2 Gold colloids in stained glass

Hydrophilic and Hydrophobic Colloids

Colloids can be hydrophilic (water-loving) or hydrophobic (water-fearing). Hydrophilic colloids, such as proteins, are stabilized by polar groups on their surface. Hydrophobic colloids require stabilization by adsorbed ions or emulsifying agents.

  • Hydrophilic Colloids: Large proteins like enzymes and hemoglobin.

  • Hydrophobic Colloids: Soap, detergents, and liposomes for drug delivery.

Hydrophilic polar and charged groups on a molecule's surface Structure of hemoglobin, a hydrophilic colloid Diagram showing stabilization of hydrophobic colloids by adsorbed ions Emulsifying agent stabilizing oil droplet in water

Reaction Rates

Speed of Reactions

Chemical reactions occur at different rates, from rapid explosions to slow rusting. The rate of a reaction is influenced by several factors.

  • Physical State: Homogeneous reactions (same phase) are generally faster than heterogeneous reactions (different phases).

  • Reactant Concentrations: Higher concentrations increase reaction rates.

  • Temperature: Higher temperatures increase reaction rates.

  • Catalysts: Catalysts speed up reactions without being consumed.

Comparison of fast and slow reactions

Average Reaction Rate

The average rate of a reaction is calculated by measuring the change in concentration of a reactant or product over a specific time interval. For a reaction A → B:

  • Average Rate of Appearance of B: \( \text{Average rate} = \frac{\Delta B}{\Delta t} \)

  • Average Rate of Disappearance of A: \( \text{Average rate} = -\frac{\Delta A}{\Delta t} \)

  • Convention: Rates are always expressed as positive values.

  • Example: Calculating the rate of appearance of B in a flask over time.

Diagram showing reaction progress in a flask over time Calculation of average rate of appearance of B from 0 to 20 s Calculation of average rate of appearance of B from 20 to 40 s

Instantaneous Rate of Reaction

The instantaneous rate is the rate at a specific moment in time, often determined by the slope of the concentration vs. time curve. This is important for understanding reaction kinetics in detail.

  • Calculation: Determined using calculus or graphical methods.

  • Application: Used in advanced studies of reaction mechanisms.

*Additional info: Instantaneous rate is typically measured as the derivative of concentration with respect to time, \( \frac{d[A]}{dt} \ ).*

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