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Chapter 1: Chemical Foundations – General Chemistry Study Notes

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Chemical Foundations

The Scientific Method

The scientific method is a systematic approach used by scientists to investigate natural phenomena. It involves making observations, forming hypotheses, conducting experiments, and developing theories or laws based on the results. This process ensures that scientific knowledge is built on evidence and logical reasoning.

  • Observation: The initial step where phenomena are noticed and recorded.

  • Hypothesis: A tentative explanation for the observations.

  • Experiment: Testing the hypothesis by collecting data.

  • Theory: An explanation of why something occurs, developed if the hypothesis is repeatedly supported.

  • Law: A statement of observed fact describing what occurs.

Flowchart of the scientific method

What is Chemistry?

Chemistry is the study of matter and the changes it undergoes. Matter is anything that has mass and occupies space. Understanding matter is central to chemistry, and scientists classify matter to organize their knowledge.

  • Matter: Anything with mass and volume.

  • Mass: A measure of the amount of matter in an object.

  • Space: The volume occupied by matter.

Classification of Matter

Matter can be classified based on its composition and properties. The main categories are mixtures and pure substances, which are further divided into heterogeneous and homogeneous mixtures, elements, and compounds.

  • Mixtures: Combinations of two or more substances retaining their distinct properties. Can be heterogeneous (unequally distributed) or homogeneous (equally distributed, also called solutions).

  • Substances: Forms of matter with definite composition and distinct properties. Includes elements (cannot be broken down) and compounds (can be decomposed).

Classification of matter flowchart

Separation of Mixtures

Mixtures can be separated by physical methods, which exploit differences in physical properties. Common techniques include filtration, distillation, and chromatography.

  • Filtration: Separates solids from liquids using a filter.

  • Distillation: Separates liquids based on boiling points.

  • Chromatography: Separates substances based on their interactions with a stationary and mobile phase.

Filtration

Filtration is used to separate a solid from a liquid by passing the mixture through filter paper, which retains the solid (residue) and allows the liquid (filtrate) to pass through.

Filtration setup

Distillation

Distillation involves heating a liquid mixture to boil off the more volatile component, which is then condensed and collected separately.

Distillation apparatus

Chromatography

Chromatography separates components based on their movement through a stationary phase under the influence of a mobile phase. The separation depends on the different affinities of substances for the phases.

Chromatography start Chromatography result

Physical and Chemical Properties

Properties of matter are classified as physical or chemical. Physical properties can be observed without changing the substance's composition, while chemical properties describe the ability to form new substances.

  • Physical Property: Observable without changing composition (e.g., melting point, density).

  • Chemical Property: Describes reactivity and ability to form new substances (e.g., flammability).

Physical and Chemical Changes

Changes in matter are either physical or chemical. Physical changes alter appearance but not composition, while chemical changes result in new substances.

  • Physical Change: Change in state or appearance (e.g., melting, boiling).

  • Chemical Change: Change in composition (e.g., rusting, combustion).

States of Matter and Physical Changes

Matter exists in three states: solid, liquid, and gas. Conversions between these states are physical changes.

  • Solid: Definite shape and volume.

  • Liquid: Definite volume, indefinite shape.

  • Gas: Indefinite shape and volume.

Physical changes: ice, water, steam

Models in Chemistry

Scientists use models to represent and explain phenomena that are too small to observe directly. Models help bridge the gap between the microscopic and macroscopic worlds.

  • Macroscopic: Observable phenomena (e.g., rust on nails).

  • Microscopic: Atomic and molecular interactions (e.g., formation of compounds).

Model of rust formation

Measurements in Chemistry

Measurements are fundamental in chemistry, involving numbers and units. Scientists use standardized units (SI units) for consistency.

  • Measurement: Consists of a number and a unit.

  • SI Units: International System of Units for mass (kg), length (m), time (s), temperature (K), electric current (A), amount of substance (mol), luminous intensity (cd).

Numerical Prefixes (Metric System)

Prefixes are used to denote multiples or fractions of units in the metric system.

Prefix

Symbol

Meaning

Exponential Notation

kilo

k

1,000

centi

c

0.01

milli

m

0.001

micro

\mu

0.000001

nano

n

0.000000001

Additional info: See image_9 for full table.

Metric prefixes table

Length, Volume, and Mass

Length is measured in meters (m), volume in liters (L) or cubic centimeters (cm3), and mass in grams (g). Volume is a derived unit, calculated as length × width × height.

  • 1 mL = 1 cm3

  • Mass: Measured using balances.

Measuring volume apparatus Comparative volumes Balances for measuring mass

Time and Temperature

Time is measured in seconds (s), and temperature in degrees Celsius (°C) or Kelvin (K). Temperature conversions are important in chemistry.

  • °F = (9/5) × °C + 32

  • K = °C + 273

  • Absolute Zero: The lowest possible temperature, where all motion stops.

Temperature scales comparison

Precision, Accuracy, and Data Collection

Good data in chemistry is both precise and accurate. Precision refers to the consistency of repeated measurements, while accuracy refers to how close a measurement is to the true value.

  • Precision: How closely measurements agree with each other.

  • Accuracy: How close measurements are to the true value.

Neither accurate nor precise Precise but not accurate Accurate and precise

Measured vs. Exact Numbers

Measured numbers are obtained from experiments and include uncertainty. Exact numbers are obtained by counting or definition and have no uncertainty.

  • Significant Figures: All digits known with certainty plus one estimated digit.

  • Example: 25 cm, 25.0 cm, and 25.00 cm have different numbers of significant figures.

Scientific Notation

Scientific notation is used to express very large or small numbers in the form a × 10b, where 1.0 ≤ a < 10 and b is an integer.

  • Example: 602214199000000000000000 becomes

  • Example: 0.00000000000000000000000000166 becomes

Significant Figures in Calculations

Rules for significant figures depend on the mathematical operation:

  • Multiplication/Division: The answer has the same number of significant figures as the factor with the fewest significant figures.

  • Addition/Subtraction: The answer is rounded to the least precise decimal place.

Conversion Factors and Dimensional Analysis

Conversion factors are used to change units. Dimensional analysis (factor-label method) is a systematic way to convert between units using equalities.

  • Example:

  • Example:

Dimensional analysis example

Density

Density is a physical property defined as mass per unit volume. It is used to identify substances and convert between mass and volume.

  • Formula:

  • Example: A block measuring 2.00 cm × 5.00 cm × 1.00 cm with a mass of 89.2 g has a density of

Compound

Density (g/cm3) at 20°C

Chloroform

1.492

Diethyl ether

0.714

Ethanol

0.789

Isopropyl alcohol

0.785

Toluene

0.867

Example: Diethyl ether has a density of 0.714 g/mL. To convert to SI units (kg/m3):

Problem Solving in Chemistry

Effective problem solving involves identifying what is being asked, what information is provided, and what relationships or equations are relevant. Combining these elements leads to the solution.

  • Ask Yourself: What am I looking for? What does the question tell me? What relationships do I know? How do I combine them?

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