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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 the osmotic pressure, which is the pressure required to stop the net flow of solvent, is reached.

  • Osmotic Pressure (Π): The pressure needed to prevent osmosis. It can be calculated using the formula: where i is the van't Hoff factor, M is molarity, R is the gas constant, and T is temperature in Kelvin.

  • Semipermeable Membrane: Allows only solvent molecules to pass, not solute particles.

  • Direction of Water Flow: Water moves from the less 'salty' (lower solute concentration) side to the more 'salty' (higher solute concentration) side.

Osmosis: Net movement of water from pure solvent to solution side Osmosis at equilibrium: No net movement of water Osmotic pressure: Pressure applied to equalize fluid levels

Effects of Osmosis on Cells

Osmosis has significant biological effects, especially in cells.

  • Hypotonic Environment: Lower solute concentration outside the cell causes water to flow into the cell, potentially leading to hemolysis (cell bursting).

  • Hypertonic Environment: Higher solute concentration outside the cell causes water to flow out, leading to crenation (cell shrinking).

Crenation and hemolysis in cells due to osmotic effects

Reverse Osmosis

Reverse osmosis is a process where pressure is applied to overcome osmotic pressure, forcing solvent to move from a region of high solute concentration to low solute concentration. This is commonly used in water purification.

  • Application: Used to desalinate seawater and purify drinking water.

Reverse osmosis membrane element inside a pressure vessel

Determining Molar Mass from Colligative Properties

Colligative properties such as freezing point depression and vapor pressure lowering can be used to determine the molar mass of an unknown solute.

  • Freezing Point Depression: The decrease in freezing point is proportional to the molality of the solute. where K_f is the freezing point depression constant, m is molality.

  • Vapor Pressure Lowering: The mole fraction of solvent can be determined from the change in vapor pressure, allowing calculation of the number of moles and thus the molar mass of the solute.

Colloids

Definition and Properties

A colloid is a mixture where particles (solute) are dispersed in another substance (solvent) and are 5–1000 nm in size. Colloids are intermediate between true solutions and suspensions.

  • Colloidal Dispersion: Particles are large enough to scatter light (Tyndall Effect) but do not settle out on standing.

  • Tyndall Effect: The scattering of light by colloidal particles, distinguishing colloids from true solutions.

Tyndall Effect: Light scattering in colloidal dispersion

Classification of Mixtures

  • Solutions: Ions or small molecules, do not scatter light, do not separate on standing.

  • Colloids: Particles 5–1000 nm, scatter light, do not separate on standing.

  • Suspensions: Particles >1000 nm, may scatter light or be opaque, particles settle out on standing.

Types of Colloids

Colloids are classified based on the phase of the dispersed and dispersing substances.

Phase of Colloid

Dispersing (solvent-like) Substance

Dispersed (solute-like) 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

Types of colloids and examples

Examples of Colloids

  • Milk: An emulsion of fat droplets in water.

  • Opal: Contains spheres of colloidal SiO2.

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

Microphotography of raw and processed milk Opal: Colloidal SiO2 spheres Gold colloids

Hydrophilic and Hydrophobic Colloids

  • Hydrophilic Colloids: Water-loving; large proteins like enzymes fold so polar parts are on the outside, stabilizing them in water.

  • Hydrophobic Colloids: Water-fearing; stabilized by adsorbing ions or using emulsifying agents.

Hydrophilic polar and charged groups on a molecule's surface Hydrophobic colloid stabilization by adsorbed ions Emulsifying agent stabilizing oil droplet in water

Reaction Rates

Speed of Reactions

The rate of a chemical reaction is the change in concentration of reactants or products per unit time. Reaction rates can vary widely, from fractions of a second to years.

  • Factors Affecting Reaction Rates:

    • Physical state of reactants (homogeneous vs. heterogeneous)

    • Reactant concentrations (higher concentration increases rate)

    • Temperature (higher temperature increases rate)

    • Presence of a catalyst (catalysts increase rate)

Time scale of reaction rates

Average Reaction Rate

The average rate of appearance of a product or disappearance of a reactant is calculated as the change in concentration divided by the change in time.

  • Appearance of B:

  • Disappearance of A:

  • Rates are always expressed as positive quantities.

Reaction progress in a flask: A to B Average rate calculation for B from 0 to 20 s Average rate calculation for 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.

  • Application: Used to analyze reaction mechanisms and kinetics.

Example: The decomposition of hydrogen peroxide is much faster in the presence of a catalyst. Additional info: Reaction rates are fundamental to understanding chemical kinetics and are influenced by molecular collisions and energy barriers. ----------------------------------------

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