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Matter, Measurement, and Problem Solving: General Chemistry Study Guide

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Classification of Matter

Types of Matter

Chemistry is the study of matter and the changes it undergoes. Matter is anything that occupies space and has mass. Matter can be classified into three main types:

  • Element: The simplest type of matter, composed of one kind of atom.

  • Compound: Matter composed of two or more different elements that are chemically bonded together.

  • Mixture: Matter composed of elements and/or compounds that are physically mixed together.

Example: Classify Gatorade, crystalline sugar, lead wire, and salsa. Gatorade is a homogeneous mixture, crystalline sugar and lead wire are pure substances, and salsa is a heterogeneous mixture.

Pure Substances vs. Mixtures

  • Pure Substances: Have uniform composition and cannot be separated into simpler substances by physical means.

  • Mixtures: Have variable composition and can be separated by physical means.

Example: Milk is a homogeneous mixture; concrete is a heterogeneous mixture.

Physical and Chemical Changes

Physical Changes

Physical changes alter the physical state of a substance without changing its composition.

  • Examples: Melting, freezing, dissolving, tearing.

  • Example: Dissolving sugar in water is a physical change.

Chemical Changes

Chemical changes alter the chemical composition, creating new chemical bonds and products.

  • Examples: Burning, rusting, cooking, bond formation.

  • Example: Cooking an egg is a chemical change.

Reversible and Irreversible Changes

  • Reversible Changes: Can be undone, such as phase changes and dissolving.

  • Irreversible Changes: Cannot be undone, such as most chemical changes.

Example: Melting and re-solidifying chocolate is reversible; baking a cake is irreversible.

SI Units and Measurement

SI Base Units

The International System of Units (SI) is based on seven base units:

Physical Quantity

Name

Symbol

Mass

Kilogram

kg

Length

Meter

m

Time

Second

s

Temperature

Kelvin

K

Amount of substance

Mole

mol

Electric current

Ampere

A

Luminous intensity

Candela

cd

Area: Volume:

Measurement of perimeter, area, and volumeMeasurement example with area and perimeter

Metric Prefixes

Metric Prefix Multipliers

Metric prefixes are modifiers that represent multiples or fractions of base units. Common prefixes include:

Prefix

Symbol

Multiplier

Kilo

k

Milli

m

Micro

\mu

Nano

n

Pico

p

Example: Convert 694 kg to micrograms (g).

Significant Figures

Rules for Significant Figures

  • Non-zero digits are always significant.

  • Zeros between significant digits are significant.

  • Leading zeros are not significant.

  • Trailing zeros in the decimal portion are significant.

  • Trailing zeros in a whole number with a decimal point are significant.

  • Exact numbers have an infinite number of significant figures.

Example: 0.003840 has 4 significant figures.

Precision in Measurements

The more significant figures, the more precise the measurement. When recording measurements, include all known digits plus one estimated digit.

Measuring pencil length in centimetersMeasuring metal bar length in centimeters

Significant Figures in Calculations

  • Multiplication/Division: The result has the same number of significant figures as the value with the least significant figures.

  • Addition/Subtraction: The result has the same number of decimal places as the value with the least decimal places.

Temperature

Temperature vs. Heat

Thermal energy is the sum of kinetic and potential energies of all atoms in an object. Temperature is the average kinetic energy, while heat is the transfer of thermal energy from a hotter object to a cooler one.

Diagram showing temperature and heat

Temperature Conversions

  • Celsius (ºC)

  • Fahrenheit (ºF)

  • Kelvin (K)

Conversion formulas:

Temperature conversion chartTemperature conversion chart

Scientific Notation

Format and Conversion

Scientific notation expresses numbers as a coefficient (≥1 and <10), a base (10), and an exponent. It is used for very large or small numbers.

  • Positive exponent: Move decimal right, making the number larger.

  • Negative exponent: Move decimal left, making the number smaller.

Example:

Chemical Properties

Definition and Examples

Chemical properties are observed during a chemical reaction and result in the formation of new substances.

  • Examples: Reactivity with oxygen, toxicity, flammability, acidity/basicity.

Chemical properties table

Physical Properties

Definition and Examples

Physical properties are measurable and describe the state of a chemical compound without changing its chemical structure.

  • Examples: Color, density, melting point, boiling point, luster.

Physical property: color palettePhysical property: cubePhysical property: diamond

Intensive vs. Extensive Properties

Intensive Properties

Intensive properties do not depend on the size or amount of substance present. They are characteristic properties.

  • Examples: Density, melting point, color, luster.

Intensive property: color paletteIntensive property: diamond

Extensive Properties

Extensive properties depend on the size or amount of substance present. They are additive properties.

  • Examples: Mass, volume, length, moles.

Extensive property: rulerExtensive property: cubeExtensive property: energy drink can

Conversion Factors

Definition and Application

A conversion factor is a ratio or fraction that relates two different units. It is used to convert from one unit to another.

  • Example: 1 day = 24 hours; 1 kg = 2.2046 lbs

Dimensional Analysis

Process and Strategies

Dimensional analysis is a systematic method for converting units using conversion factors. The process involves starting with the given amount, identifying the end amount, and applying conversion factors to cancel unwanted units.

Example: Convert 32 inches to centimeters using the conversion factor 1 inch = 2.54 cm.

Density

Definition and Formula

Density is the amount of mass per unit volume. For solids and liquids, units are typically g/cm3 or kg/m3. For gases, units are g/L or kg/m3.

Formula:

Density of Geometric Objects

For geometric objects, density can be calculated using their mass and volume.

  • Cube:

  • Sphere:

  • Cylinder:

Density of Non-Geometric Objects: Water Displacement

Water displacement is used to determine the volume of irregularly shaped objects by measuring the change in water level when the object is submerged.

Water displacement with graduated cylinderWater displacement with irregular objectWater displacement with apple

Example: If an object increases the water level from 200 mL to 260 mL, its volume is 60 mL.

Additional info: These notes cover the foundational concepts of Chapter 1 in General Chemistry, including matter classification, measurement, properties, and problem-solving techniques. All images included directly reinforce the educational content and are relevant to the explanations provided.

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