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General Chemistry Exam 1 Study Guide: Matter, Measurement, and Atomic Theory

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States of Matter

Three States of Matter

The three primary states of matter are solid, liquid, and gas. Each state is characterized by distinct physical properties and particle arrangements.

  • Solid: Definite shape and volume; particles are closely packed and vibrate in place.

  • Liquid: Definite volume but no definite shape; particles are less tightly packed and can move past each other.

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

Example: Water exists as ice (solid), liquid water, and steam (gas).

Elements and the Periodic Table

Symbols and Names of Elements

Each element is represented by a unique symbol (e.g., H for hydrogen, He for helium). Memorize the names and symbols for elements 1-38 and selected others.

  • Periodic Table: Organizes elements by increasing atomic number and groups similar properties together.

Example: Na is sodium, Cl is chlorine.

Physical and Chemical Properties and Changes

Distinguishing Properties and Changes

Physical properties are characteristics that can be observed without changing the substance's identity (e.g., color, melting point). Chemical properties describe a substance's ability to undergo chemical changes (e.g., flammability).

  • Physical change: Alters form but not composition (e.g., melting ice).

  • Chemical change: Produces new substances (e.g., burning wood).

Example: Dissolving salt in water is a physical change; rusting iron is a chemical change.

Temperature Scales and Conversions

Fahrenheit, Celsius, and Kelvin

Temperature can be measured in three scales: Fahrenheit (°F), Celsius (°C), and Kelvin (K). Conversion between these scales is essential in chemistry.

  • Kelvin to Celsius:

  • Celsius to Fahrenheit:

  • Fahrenheit to Celsius:

Example: 25°C = 298 K

Density Calculations

Definition and Formula

Density is the mass per unit volume of a substance. It is a physical property used to identify substances.

  • Formula:

  • Units: Commonly g/cm3 or g/mL

Example: If a block has a mass of 10 g and a volume of 2 cm3, its density is 5 g/cm3.

Significant Figures

Reporting and Determining Significant Figures

Significant figures reflect the precision of a measurement. Rules help determine which digits are significant.

  • All nonzero digits are significant.

  • Zeros between nonzero digits are significant.

  • Leading zeros are not significant.

  • Trailing zeros are significant if there is a decimal point.

Example: 0.00450 has three significant figures.

Calculations with Significant Figures

  • Addition/Subtraction: Result should have the same number of decimal places as the measurement with the fewest decimal places.

  • Multiplication/Division: Result should have the same number of significant figures as the measurement with the fewest significant figures.

Example: 2.5 × 3.42 = 8.6 (two significant figures)

SI Units and Prefix Multipliers

International System of Units (SI)

The SI system uses standard units for measurement. Prefixes indicate multiples or fractions of units.

  • Length: meter (m)

  • Mass: kilogram (kg)

  • Time: second (s)

  • Amount: mole (mol)

  • Prefix examples: kilo- (103), centi- (10-2), milli- (10-3)

Example: 1 km = 1000 m

Dimensional Analysis

Unit Conversion

Dimensional analysis uses conversion factors to change units. Set up calculations so units cancel appropriately.

  • Example: To convert 5 cm to meters:

Modern Atomic Theory

Aspects of Atomic Theory

Modern atomic theory describes atoms as composed of subatomic particles and explains their behavior and structure.

  • Atoms are the basic units of matter.

  • Each element has unique atoms.

  • Atoms combine to form compounds.

Example: Dalton's atomic theory, Rutherford's model, Bohr's model.

Subatomic Particles

Major Subatomic Particles

Atoms consist of protons, neutrons, and electrons, each with distinct properties.

Particle

Charge

Mass (amu)

Location

Proton

+1

1

Nucleus

Neutron

0

1

Nucleus

Electron

-1

~0

Outside nucleus

Example: Carbon atom has 6 protons, 6 neutrons, 6 electrons.

Atomic Number and Mass Number

Describing Atomic Composition

Atomic number (Z) is the number of protons; mass number (A) is the sum of protons and neutrons.

  • Formula: (N = number of neutrons)

Example: Oxygen: Z = 8, A = 16 (8 protons, 8 neutrons)

Average Atomic Mass and Isotopes

Calculating Average Atomic Mass

Average atomic mass is calculated using the masses and abundances of isotopes.

  • Formula:

Example: If an element has two isotopes: 70% at 10 amu, 30% at 11 amu, average mass = amu.

Ions of Main Group Elements

Charges of Ions

Main group elements form ions with predictable charges based on their group in the periodic table.

  • Group 1: +1

  • Group 2: +2

  • Group 17: -1

  • Group 16: -2

Example: Sodium forms Na+, chlorine forms Cl-.

Periodic Table Organization

Groups, Periods, and Types of Elements

The periodic table is organized into groups (columns), periods (rows), and types (metals, nonmetals, metalloids).

  • Groups: Elements with similar properties (e.g., alkali metals, halogens).

  • Periods: Horizontal rows; properties change progressively.

  • Types: Metals (left), nonmetals (right), metalloids (border).

Example: Group 1: Alkali metals; Group 18: Noble gases.

Mole, Molar Mass, and Particle Conversions

Interconverting Moles, Mass, and Particles

The mole is a counting unit in chemistry. Molar mass links mass and moles; Avogadro's number links moles and particles.

  • Avogadro's number: particles/mol

  • Formula:

  • Formula:

Example: 18 g of water (H2O) is 1 mole, containing molecules.

Formula Mass and Molar Mass of Compounds

Calculating Masses

Formula mass is the sum of atomic masses in a compound's formula. Molar mass is the mass of one mole of a compound.

  • Formula:

Example: Molar mass of NaCl = 22.99 (Na) + 35.45 (Cl) = 58.44 g/mol

Suggested Study Procedure

Effective Study Steps

  • Memorize key equations and conversion factors.

  • Read chapter summaries and review terms.

  • Practice problems and self-assessment quizzes.

  • Seek help from tutoring resources if needed.

Example: Attempt quizzes at the end of Chapters 1 and 2 to assess understanding.

Key Equations Summary

Equation Name

Math Equation

Kelvin/Celsius Conversion

Density

Average Atomic Mass

Mole/Gram/Particle Conversion

Additional info: This study guide covers foundational concepts from Chapters 1 and 2, including matter, measurement, atomic structure, and the periodic table, as well as essential mathematical operations for chemistry.

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