1.2 Classification of Matter: Elements, Compounds and Mixtures

Master classification of matter, states, elements, compounds, mixtures for AP, A-Level, IB. Learn pure substances, law of constant composition.
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Matter looks simple until you try to classify it. Is air a pure substance? Is gold an element or a mixture? Why does water always have the same composition whether it comes from a tap in Texas or ice on Mars? Every A-Level, AP, IB, and College Chemistry exam starts by testing whether you can instantly distinguish a state of matter from a composition classification and whether you can explain it at the molecular level. In this complete guide, you will master the two principal classification systems of matter, the microscopic difference between solids, liquids, and gases, what makes a pure substance pure, why there are 118 elements, what makes a compound different from a mixture, and the law that guarantees aspirin is always aspirin.

Key Insights
  • Matter is classified by physical state as gas, liquid, or solid and by composition as element, compound, or mixture.
  • A pure substance has fixed composition and distinct properties; mixtures have variable composition.
  • Elements cannot be broken into simpler substances and contain only one kind of atom.
  • Compounds contain two or more kinds of atoms and have properties unlike their component elements.
  • Homogeneous mixtures are uniform solutions; heterogeneous mixtures are non-uniform.

Classifications of Matter

Let's begin our study of chemistry by examining some fundamental ways in which matter is classified. Two principal ways of classifying matter are according to physical state, gas, liquid, or solid, and according to composition, element, compound, or mixture. Every sample you will ever handle in lab fits into both systems at once. A sample of salt water is both a liquid in terms of state and a homogeneous mixture in terms of composition. A sample of table salt is both a solid and a compound.

States of Matter

A sample of matter can be a gas, a liquid, or a solid. These three forms, called the states of matter, differ in some of their observable properties.

A gas, also known as vapor, has no fixed volume or shape; rather, it conforms to the volume and shape of its container. A gas can be compressed to occupy a smaller volume, or it can expand to occupy a larger one. When we talk about water vapor, clouds, or steam, we are actually seeing tiny droplets of liquid water dispersed in the atmosphere. The gas state itself, like the water molecules in the air above a boiling kettle, is invisible.

A liquid has a distinct volume independent of its container but has no specific shape. It assumes the shape of the portion of the container it occupies. Pour 100 mL of water into a beaker, a flask, or a test tube, you still have 100 mL, but the shape changes. Neither liquids nor solids can be compressed to any appreciable extent.

A solid has both a definite shape and a definite volume. An ice cube keeps its shape whether you put it on a plate or in a box.

The properties of the states of matter can be understood on the molecular level.

In a gas the molecules are far apart and moving at high speeds, colliding repeatedly with one another and with the walls of the container. The average distance between gas molecules at room temperature and pressure is about ten times the diameter of the molecules themselves. Compressing a gas decreases the amount of space between molecules and increases the frequency of collisions between molecules but does not alter the size or shape of the molecules.

In a liquid the molecules are packed closely together but still move rapidly. The rapid movement allows the molecules to slide over one another; thus, a liquid pours easily. The density of liquid water is about 1000 times greater than water vapor because of this close packing.

In a solid the molecules are held tightly together, usually in definite arrangements in which the molecules can wiggle only slightly in their otherwise fixed positions. Thus, the distances between molecules are similar in the liquid and solid states, but the two states differ in how free the molecules are to move around.

Changes in temperature and/or pressure can lead to conversion from one state of matter to another, illustrated by such familiar processes as ice melting or water vapor condensing. The red arrows that connect ice, liquid water, and water vapor show this interconversion is reversible.

Three states of water molecular view solid ice crystalline lattice liquid close packed mobile gas far apart fast collisions
Ultra-realistic 3D molecular view of water in three states - solid ice crystalline lattice, liquid water close packed mobile molecules in beaker, gas vapor far apart fast molecules
Property Solid Liquid Gas
Shape Definite, independent of container No definite shape, takes shape of portion of container No definite shape, fills entire container
Volume Definite Definite, distinct volume No definite volume, compressible and expandable
Molecular Distance Close, similar to liquid Close, molecules touching Far apart, ∼10x diameter
Molecular Freedom Fixed positions, only slight wiggle/vibration Slide over one another, flow High speed, random, frequent collisions
Compressibility Essentially incompressible Essentially incompressible Highly compressible
Callout Box: Gas vs Vapor - Exam LanguageIn everyday language vapor means gas. In chemistry, vapor specifically means the gaseous state of a substance that is normally a liquid or solid at room temperature. Water vapor is the gas form of water, but we call oxygen a gas, not a vapor, because oxygen is already a gas at room temperature.
Pro Tip for Exams:When asked "in which form are water molecules farthest apart?" answer gas/vapor. When asked why liquids and solids have similar densities but gases do not, cite molecular packing distances.
Exam Trap:Students say liquids have no volume. They do. They have a distinct volume independent of container, they just have no fixed shape. Only gases have variable volume.

Pure Substances

Most forms of matter we encounter — the air we breathe as a gas, the gasoline we burn in our cars as a liquid, and the sidewalk we walk on as a solid — are not chemically pure. We can, however, separate these forms of matter into pure substances.

A pure substance, usually referred to simply as a substance, is matter that has distinct properties and a composition that does not vary from sample to sample. Water and table salt, sodium chloride, the primary components of seawater, are examples of pure substances. Whether you get water from a river in Canada, a glacier in Antarctica, or a lab in Japan, pure water will always have the same properties: boiling point 100°C at 1 atm, density 1.00 g/mL at 4°C, and composition.

All substances are either elements or compounds. Elements are substances that cannot be decomposed into simpler substances. On the molecular level, each element is composed of only one kind of atom. Compounds are substances composed of two or more elements; they contain two or more kinds of atoms. Water, for example, is a compound composed of two elements: hydrogen and oxygen. Mixtures, by contrast, are combinations of two or more substances in which each substance retains its chemical identity.

Four panel molecular comparison atoms of element gold molecules of element O2 molecules of compound H2O mixture retaining identity
Four-panel 3D molecular comparison - atoms of an element single gold atoms, molecules of an element diatomic O2, molecules of a compound H2O and CO2, mixture of elements and compound

Elements

Currently, 118 elements are known, though they vary widely in abundance. For example, only five elements — oxygen, silicon, aluminum, iron, and calcium — account for over 90% of Earth's crust, including oceans and atmosphere, and only three — oxygen, carbon, and hydrogen — account for over 90% of the mass of the human body.

Location Dominant Elements Percentage by Mass
Earth's Crust Oxygen 49.5%, Silicon 25.7%, Aluminum 7.5%, Iron 4.7%, Calcium 3.4% ∼90% from just 5 elements
Human Body Oxygen 65%, Carbon 18%, Hydrogen 10%, Nitrogen, Calcium, Phosphorus ∼90% from O, C, H

This tells you why chemistry focuses so heavily on O, C, H, N, Si, and metals like Fe and Al.

Table of common elements and symbols is essential. The symbol for each element consists of one or two letters, with the first letter capitalized. These symbols are derived mostly from the English names of the elements, but sometimes they are derived from a foreign name.

Element Symbol Origin if not English
Carbon C
Aluminum Al
Copper Cu from cuprum
Fluorine F
Bromine Br
Iron Fe from ferrum
Hydrogen H
Calcium Ca
Lead Pb from plumbum
Iodine I
Chlorine Cl
Mercury Hg from hydrargyrum
Nitrogen N
Helium He
Potassium K from kalium
Oxygen O
Lithium Li
Silver Ag from argentum
Phosphorus P
Magnesium Mg
Sodium Na from natrium
Sulfur S
Silicon Si
Tin Sn from stannum

All known elements and their symbols are listed in the periodic table on the inside cover of your textbook. In the periodic table the elements are arranged in columns so that closely related elements are grouped together. You will need to know these symbols and learn others as you encounter them.

At the molecular level, many elements exist not as single atoms but as molecules. Seven elements exist naturally as diatomic molecules: H2, N2, O2, F2, Cl2, Br2, I2. Remember them with the mnemonic: Have No Fear Of Ice Cold Beer.

Callout Box: Monoatomic vs Diatomic ElementsNoble gases like He, Ne, Ar exist as single atoms. Most metals exist as lattice of atoms, but we still write them as Au, Fe, Al. Nonmetals like oxygen and hydrogen exist as O2 and H2 at room temperature. When you write oxygen gas, always write O2, not O.

Compounds

Most elements can interact with other elements to form compounds. For example, when hydrogen gas burns in oxygen gas, the elements hydrogen and oxygen combine to form the compound water. Conversely, water can be decomposed into its elements by passing an electrical current through it, a process called electrolysis. In that experiment, the volume of hydrogen collected is twice the volume of oxygen, reflecting that two H2 molecules are produced for every one O2 molecule, matching the formula H2O.

Pure water, regardless of its source, consists of 11% hydrogen and 89% oxygen by mass. This macroscopic composition corresponds to the molecular composition, which consists of two hydrogen atoms combined with one oxygen atom. The elements hydrogen and oxygen themselves exist naturally as diatomic molecules written as H2 and O2.

The properties of water bear no resemblance to the properties of its component elements:

Property at Room Temp & Pressure Water H2O Hydrogen H2 Oxygen O2
State Liquid Gas Gas
Normal Boiling Point 100°C -253°C -183°C
Density 1000 g/L 0.084 g/L 1.33 g/L
Flammable No Yes No, supports combustion

Hydrogen is flammable, oxygen supports combustion, yet water extinguishes fire. This proves a compound is a unique substance, a consequence of the uniqueness of its molecules.

The observation that the elemental composition of a compound is always the same is known as the law of constant composition or the law of definite proportions. French chemist Joseph Louis Proust first stated the law in about 1800. Although this law has been known for 200 years, the belief persists among some people that a fundamental difference exists between compounds prepared in the laboratory and the corresponding compounds found in nature. However, a pure compound has the same composition and properties regardless of its source. Both chemists and nature must use the same elements and operate under the same natural laws. When two materials differ in composition or properties, either they are composed of different compounds or they differ in purity.

Pro Tip for Exams:Law of constant composition = same compound always contains same elements in same mass ratio. If a sample is 60.0% C, 4.5% H, 35.5% O by mass regardless of source, it must be a compound, not a mixture, because mixtures can vary.
Exam Trap:Students think electrolysis of water produces H and O atoms. It produces H2 and O2 molecules. Volume ratio 2:1 matches molecular ratio, not atomic ratio of 2:1 atoms in one molecule. Always write diatomic gases as H2 and O2.

Mixtures

Most of the matter we encounter consists of mixtures of different substances. Each substance in a mixture retains its chemical identity and properties. In contrast to a pure substance, which by definition has a fixed composition, the composition of a mixture can vary. A cup of sweetened coffee, for example, can contain either a little sugar or a lot. The substances making up a mixture are called components of the mixture.

Some mixtures do not have the same composition, properties, and appearance throughout. Rocks and wood, for example, vary in texture and appearance in any typical sample. Such mixtures are heterogeneous. Granite, for example, is a heterogeneous mixture of silicon dioxide and other metal oxides visible as pink, black, and white grains.

Mixtures that are uniform throughout are homogeneous. Air is a homogeneous mixture of nitrogen, oxygen, and smaller amounts of other gases. The nitrogen in air has all the properties of pure nitrogen because both the pure substance and the mixture contain the same nitrogen molecules. Salt, sugar, and many other substances dissolve in water to form homogeneous mixtures. Homogeneous mixtures are also called solutions. Although the term solution conjures an image of a liquid, solutions can be solids, liquids, or gases. Brass is a solid solution of copper and zinc. Air is a gaseous solution.

Heterogeneous mixture granite rock non-uniform vs homogeneous mixture blue copper sulfate solution uniform with classification flowchart
3D comparison of heterogeneous granite rock with visible grains vs homogeneous blue copper sulfate solution uniform, plus classification flowchart Matter to Element Compound Mixture

The classification of matter can be summarized in a flowchart that you must memorize:

Is the sample uniform throughout?
No -> Heterogeneous mixture
Yes -> Does it have a variable composition?
Yes -> Homogeneous mixture, also called a solution
No -> It is a pure substance -> Can it be separated into simpler substances?
Yes -> Compound
No -> Element

All pure matter is ultimately classified as either an element or a compound.

Criterion Pure Substance Mixture
Composition Fixed, constant, definite proportions Variable, can be any ratio of components
Properties Distinct, constant Retains properties of components
Separation Compounds require chemical reaction to separate Can be separated by physical methods like filtration, distillation
Examples Gold Au, Water H2O, Sodium chloride NaCl, Aspirin C9H8O4 White gold (Au + Pd, variable), sweetened coffee, air, granite
Callout Box: White Gold Example - Classic Exam QuestionWhite gold contains gold and a white metal such as palladium. Two samples of white gold differ in relative amounts of gold and palladium but are uniform throughout. Using the flowchart: uniform throughout, so homogeneous. Composition differs for two samples, so cannot be compound. It must be a homogeneous mixture, a solid solution of metals.
Pro Tip for Exams:For aspirin classification: composition 60.0% carbon, 4.5% hydrogen, 35.5% oxygen by mass regardless of source. Constant composition = compound. Can be separated into elements C, H, O = compound, not element.
Exam Trap:Students call all mixtures heterogeneous. Air and salt water are homogeneous mixtures, also called solutions, even though you cannot see the components. Uniformity is key, not visibility. Also, solution is not just liquid; air is a gaseous solution, brass is a solid solution.

Practice Questions

MCQs (Multiple Choice Questions)

01. Two principal ways of classifying matter are:

  1. Mass and volume
  2. Physical state and composition
  3. Color and hardness
  4. Metal and nonmetal

Correct: B - Textbook explicitly states state (gas, liquid, solid) and composition (element, compound, mixture). A are properties, not classifications.

02. Which statement about gases is false?

  1. No fixed volume or shape
  2. Conforms to volume and shape of container
  3. Can be compressed appreciably
  4. Has definite volume independent of container

Correct: D - Definite volume is characteristic of liquids and solids, not gases. Gases expand to fill container.

03. At the molecular level, what distinguishes liquid from solid?

  1. Distance between molecules
  2. How free molecules are to move around
  3. Size of molecules
  4. Type of atoms

Correct: B - Distances are similar in liquid and solid, but solids have fixed positions with only slight wiggle, liquids slide over each other.

04. A pure substance is defined as matter that:

  1. Contains only one element
  2. Has variable composition
  3. Has distinct properties and composition that does not vary from sample to sample
  4. Is always solid

Correct: C - Definition of pure substance/substance. A describes element, B describes mixture.

05. Which is a diatomic element that exists naturally as a two-atom molecule?

  1. Helium
  2. Gold
  3. Oxygen
  4. Carbon

Correct: C - O2 is diatomic. He is monatomic noble gas, Au and C exist as extended lattices, not diatomic molecules.

06. Water consists of 11% H and 89% O by mass regardless of source. This illustrates:

  1. Law of conservation of mass
  2. Law of constant composition
  3. Law of multiple proportions
  4. Law of ideal gases

Correct: B - Law of definite proportions/constant composition, stated by Proust around 1800.

07. Which pair shows that properties of a compound differ from its component elements?

  1. Water is liquid while H2 and O2 are gases, H2 flammable while water is not
  2. Air contains nitrogen and oxygen
  3. Gold and palladium make white gold
  4. Ice melts to water

Correct: A - Table comparison shows distinct boiling points, densities, flammability. Compound is unique substance.

08. Which is a heterogeneous mixture?

  1. Air
  2. Salt water solution
  3. Granite
  4. Brass

Correct: C - Granite shows varying texture and mineral grains, not uniform throughout. Others are homogeneous solutions (gas, liquid, solid).

09. Aspirin is composed of 60.0% C, 4.5% H, 35.5% O by mass regardless of source. It is classified as:

  1. Element
  2. Heterogeneous mixture
  3. Homogeneous mixture
  4. Compound

Correct: D - Constant composition and can be separated into elements C, H, O, so compound per Figure 1.9 flowchart.

10. White gold contains variable amounts of gold and palladium but is uniform throughout. It is:

  1. Element
  2. Compound
  3. Heterogeneous mixture
  4. Homogeneous mixture

Correct: D - Uniform = homogeneous, variable composition = mixture, not compound. Solid solution.

FRQs (Free Response Questions)

FRQ 1: Describe molecular behavior in solid, liquid, and gas states and link to compressibility.

Rubric: 1 pt gas molecules far apart, high speed, frequent collisions, empty space -> compressible. 1 pt liquid molecules closely packed but mobile, slide over each other, little empty space -> essentially incompressible. 1 pt solid molecules tightly held in definite arrangement, only slight vibration, close packing -> incompressible. 1 pt explain compressing gas reduces space between molecules, not size of molecules. 2 pts connect temperature/pressure changes cause interconversion like melting, condensation.

FRQ 2: Using water electrolysis data, explain diatomic molecules and law of constant composition.

Rubric: 1 pt water decomposes by electrical current into H2 and O2 gases. 1 pt volume H2 collected is twice O2, reflecting 2 H2 molecules per 1 O2, consistent with H2O formula. 1 pt define diatomic: H2, O2 exist as two-atom molecules naturally. 1 pt pure water always 11% H 89% O by mass regardless source -> law of constant composition. 2 pts properties of water differ from H2 and O2, proving compound is unique substance.

FRQ 3: Distinguish pure substances from mixtures using coffee and table salt examples, and heterogeneous from homogeneous.

Rubric: 1 pt pure substance has fixed composition and distinct properties, e.g., NaCl table salt always same. 1 pt mixture has variable composition, each substance retains identity, e.g., sweetened coffee can have little or lot sugar. 1 pt define heterogeneous: not uniform throughout, varies in texture/appearance, e.g., rocks, wood. 1 pt define homogeneous: uniform throughout, also called solution, e.g., air, salt water, copper sulfate solution. 2 pts mention components and that solutions can be gas (air), liquid (salt water), solid (brass).

FRQ 4: Explain element abundances in Earth's crust vs human body and need for chemical symbols.

Rubric: 1 pt list Earth's crust dominated by O 49.5%, Si 25.7%, Al, Fe, Ca >90% from 5 elements. 1 pt human body dominated by O 65%, C 18%, H 10% >90% from 3 elements. 1 pt significance: crust is silicate rocks, body is water and organic molecules. 1 pt chemical symbols consist of 1-2 letters first capitalized, derived from English or Latin e.g., Fe ferrum, Na natrium, K kalium. 2 pts importance of periodic table arrangement grouping related elements.

FRQ 5: Use classification flowchart to classify: (a) aluminum foil, (b) seawater after filtration, (c) sandy water.

Rubric: Flowchart steps: Is it uniform? Variable composition? Can it be separated into simpler substances? (a) Aluminum foil: uniform, fixed composition, cannot be broken down -> element. 2 pts. (b) Filtered seawater: uniform, variable composition (salt amount varies), salt and water retain identity -> homogeneous mixture (solution). 2 pts. (c) Sandy water: not uniform, sand settles -> heterogeneous mixture. 2 pts.

Frequently Asked Questions

What are the three states of matter?

The three states are gas, liquid, and solid. Gases have no fixed volume or shape and are compressible. Liquids have distinct volume but no fixed shape. Solids have definite shape and volume and are essentially incompressible.

What is the difference between a pure substance and a mixture?

A pure substance has fixed composition and distinct properties that never vary, like water or table salt. A mixture has variable composition and retains properties of its components, like coffee with different amounts of sugar.

How do elements differ from compounds?

Elements cannot be decomposed into simpler substances and contain only one kind of atom, like gold Au or oxygen O2. Compounds contain two or more kinds of atoms chemically combined, like water H2O, and have properties unlike their elements.

What are diatomic elements?

Seven elements naturally exist as two-atom molecules: H2, N2, O2, F2, Cl2, Br2, I2. They are gases except bromine liquid and iodine solid at room temperature. Always write them as diatomic.

What is the law of constant composition?

It states that a pure compound always contains the same elements in the same mass proportion regardless of source. Pure water is always 11% hydrogen and 89% oxygen by mass, whether from a tap or synthesized in lab.

What is the difference between homogeneous and heterogeneous mixtures?

Homogeneous mixtures are uniform throughout, like air or salt water, and are called solutions. Heterogeneous mixtures are not uniform and vary in appearance, like granite rock or wood.

Can solutions be solid or gas?

Yes. Although we think of liquid solutions, air is a gaseous solution of nitrogen and oxygen, and brass is a solid solution of copper and zinc. Any uniform mixture is a solution.

Is white gold an element or mixture?

White gold is a homogeneous mixture, a solid solution of gold and a white metal like palladium. It is uniform but composition varies between samples, so it cannot be a pure substance or compound.

Why are properties of water different from hydrogen and oxygen?

Water is a compound with unique H2O molecules. Its properties depend on composition and structure, not just its component atoms. Hydrogen is flammable gas, oxygen supports combustion, water is nonflammable liquid with boiling point 100°C.

Exam Mapping

Concept from 1.2 A-Level Chemistry AP Chemistry IB Chemistry HL College Chemistry 1 USNCO / IChO
States of Matter - gas, liquid, solid properties States of matter 1.1, kinetic theory Big Idea 2: Properties, Topic 2.1 Types of matter Topic 1.1 States of matter, kinetic theory Ch 1 classification, intermolecular forces Physical properties, phases
Molecular explanation - compressibility, flow Particle theory, gas behavior Science Practice 1: Models, kinetic molecular theory Structure 1.1 particulate nature Molecular view of states Kinetic molecular theory
Pure Substances - fixed composition Pure substances vs mixtures Topic 1.1 Pure substances Structure 1 classification Pure substances Classification of matter
Elements - 118 elements, diatomic Periodic Table 1.3, atomic structure Topic 1.1 Elements, symbols Structure 1.2 periodic table Elements and symbols Element symbols, abundances
Compounds - H2O vs H2 O2 properties Compounds, formulas Topic 1.1 Compounds, law of definite proportions Structure 2.2 compounds Compounds, chemical formulas Compound vs element properties
Law of constant composition Reacting masses, empirical formula Topic 1.3 Composition, Proust's law Structure 1.4 mass composition Law of definite proportions Stoichiometry basics
Mixtures - variable composition, components Mixtures, separation techniques Topic 1.1 Mixtures, separation Topic 1.1 Mixtures Mixtures Separation methods
Homogeneous vs Heterogeneous, solutions as solid/liquid/gas Homogeneous/heterogeneous, solutions Solution terminology, alloys, air as solution Solutions, alloys Types of mixtures, solutions Classification, alloy examples
Classification flowchart Figure 1.9 Classification questions Classification flowchart use Flowchart logic Matter classification diagram Classic white gold, aspirin Qs

Conclusion

If you can use the flowchart without hesitation, you have mastered 1.2. Start with uniformity: non-uniform equals heterogeneous mixture. If uniform, ask about variable composition: variable equals homogeneous mixture or solution, fixed equals pure substance. If pure, ask if it can be broken down: yes equals compound, no equals element. Couple that with the molecular picture: gases far apart and compressible, liquids and solids close-packed but differing in freedom to move, and remember that compounds like water have completely different properties from their parent elements. With the law of constant composition and the 118 element symbols including diatomic H2, O2, N2, F2, Cl2, Br2, I2, you now have the vocabulary that every later chapter builds on.

References

  • Brown, T. L., LeMay, H. E., Bursten, B. E., Murphy, C. J., Woodward, P. M., & Stoltzfus, M. W. Chemistry: The Central Science, 15th Edition, Pearson, Section 1.2 Classifications of Matter.
  • IUPAC Periodic Table of Elements 2024.

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