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Fundamental Concepts in General Chemistry: Matter, Classification, Properties, and the Mole

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

Introduction to Matter

Definitions and Basic Concepts

Matter is anything that has mass and occupies space (volume). All substances in the universe are forms of matter.

  • Mass: The quantity of matter in an object, typically measured in grams (g) or kilograms (kg).

  • Weight: The force exerted by gravity on an object’s mass.

  • Volume: The amount of space an object occupies. Common units: liters (L), cubic decimeters (dm3), milliliters (mL), cubic centimeters (cm3).

Atom: The basic building block of matter, consisting of protons, neutrons, and electrons.

States of Matter

  • Solid: Definite shape and volume; particles are closely packed in a fixed arrangement.

  • Liquid: Definite volume but no definite shape; particles are close but can move past each other.

  • Gas: No definite shape or volume; particles are far apart and move freely.

Classification of Matter

Pure Substances

  • Elements: Substances that contain only one type of atom. Examples: O2 (oxygen), Cu (copper).

  • Compounds: Substances composed of two or more different types of atoms chemically bonded together. Examples: H2O (water), NaCl (sodium chloride).

Allotropes: Different forms of the same element in the same physical state. Examples: oxygen (O2 and O3), carbon (diamond and graphite).

Mixtures

  • Homogeneous Mixture (Solution): Uniform composition and properties throughout; particles are evenly mixed. Example: saltwater, air.

  • Heterogeneous Mixture: Non-uniform composition; different parts have different properties. Example: sand in water, salad.

  • Alloy: A homogeneous mixture of metals. Example: 24K gold (pure), 14K gold (mixture).

  • Suspension: A heterogeneous mixture where particles settle over time. Example: muddy water.

Classification Chart

MATTER

PURE SUBSTANCE

  • ELEMENT

  • COMPOUND

MIXTURE

  • HOMOGENEOUS

  • HETEROGENEOUS

Properties of Matter

Physical and Chemical Properties

  • Chemical Properties: Describe how a substance reacts with other substances (e.g., reactivity with water, flammability).

  • Physical Properties: Can be observed without changing the chemical identity of the substance (e.g., color, melting point, density).

Extensive vs. Intensive Properties

  • Extensive Properties: Depend on the amount of substance present (e.g., mass, volume).

  • Intensive Properties: Do not depend on the amount of substance (e.g., density, boiling point).

Examples of Properties

  • Electrical conductivity

  • Reactivity with water

  • Heat content (total energy)

  • Ductile: Can be drawn into wire

  • Malleable: Can be hammered into shape

  • Brittle: Breaks easily

  • Magnetism

Separation of Mixtures

Mixtures can be separated by physical means or physical changes:

  1. Sorting

  2. Filtration

  3. Magnetism

  4. Chromatography

  5. Density separation

  6. Distillation

Density

Definition and Calculation

Density is the mass per unit volume of a substance.

Formula:

  • Typical units: g/cm3 for solids, g/mL for fluids

  • Density of water: 1.00 g/mL (at 4°C)

The density of a liquid or solid is nearly constant, regardless of sample size.

Density Calculations (Examples)

  • A sample of lead (Pb) has mass 22.7 g and volume 2.0 cm3. Find density.

  • A 119.5 g solid cylinder has radius 1.8 cm and height 1.5 cm. Find density.

  • A 153 g rectangular solid has edge lengths 8.2 cm, 5.1 cm, and 4.7 cm. Will it sink in water?

Changes in State and Energy

States of Matter and Changes

  • Solid → Liquid: Melting

  • Liquid → Gas: Vaporization

  • Gas → Liquid: Condensation

  • Liquid → Solid: Freezing

  • Solid → Gas: Sublimation

  • Gas → Solid: Deposition

Energy Changes

  • Endothermic Change: System absorbs heat (e.g., water boiling, ice melting).

  • Exothermic Change: System releases heat (e.g., water freezing, combustion).

Law of Conservation of Energy

Energy cannot be created or destroyed, only transformed from one form to another.

Example (combustion of acetylene):

The Mole Concept

Definition and Avogadro's Number

  • Counting atoms or molecules is done using the mole (mol).

  • 1 mole = particles (Avogadro's number).

  • For any element, 1 mole has a mass in grams equal to its atomic mass (from the periodic table).

Island Diagram

Grams (mass)

Mole (mol)

Particles (atoms/molecules)

Use molar mass to convert to moles

Use Avogadro's number to convert to particles

1 mol = atoms/molecules

Sample Problems

  • How many moles is atoms of zinc?

  • How many atoms is 0.68 moles of zinc?

  • How many grams is 5.69 moles of uranium?

  • How many grams is atoms of neon?

  • How many atoms is 421 g of promethium?

Elements, Compounds, and Mixtures: Comparison Table

Type

Definition

Example

Element

Contains only one type of atom

Oxygen (O2), Copper (Cu)

Compound

Contains two or more types of atoms chemically bonded

Water (H2O), Sodium chloride (NaCl)

Mixture

Contains two or more substances not chemically bonded

Air, Salad, Saltwater

Additional Info

  • Monatomic elements: Elements that exist as single atoms (e.g., noble gases like Ne, Ar).

  • Polyatomic elements: Elements that exist as molecules with more than one atom (e.g., O2, S8).

  • Diatomic elements: Elements that naturally exist as molecules of two atoms (e.g., H2, N2, O2, F2, Cl2, Br2, I2).

  • Allotropes: Different structural forms of the same element (e.g., diamond and graphite for carbon).

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