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General Chemistry: Foundations, Measurement, and Atomic Structure

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Introduction to Chemistry and Scientific Method

Scientific Laws, Theories, Observations, and Hypotheses

  • Scientific Law: A concise statement that summarizes a pattern found in nature, based on repeated experimental observations. Laws describe what happens but do not explain why.

  • Scientific Theory: A well-substantiated explanation of some aspect of the natural world that can incorporate laws, hypotheses, and facts. Theories explain why phenomena occur.

  • Observations/Data: Information gathered through the senses or instruments; the foundation for scientific inquiry.

  • Hypothesis: A tentative explanation for an observation, which can be tested by experimentation.

  • Development: Observations lead to hypotheses, which are tested. Consistent results may lead to laws (descriptive) or theories (explanatory).

  • Example: The Law of Conservation of Mass (law) vs. Dalton's Atomic Theory (theory).

Measurement and Data Interpretation

Graphs, Data Tables, and Variables

  • Data Trends: An upward trend indicates a positive correlation; a downward trend indicates a negative correlation.

  • Interpolation: Estimating values within the range of data points.

  • Extrapolation: Predicting values outside the range of measured data.

  • Variables: The independent variable is manipulated (x-axis), and the dependent variable is measured (y-axis).

  • Example: In a graph of temperature (x) vs. solubility (y), temperature is independent, solubility is dependent.

Accuracy vs. Precision

  • Accuracy: How close a measurement is to the true or accepted value.

  • Precision: How close repeated measurements are to each other, regardless of accuracy.

  • Example: Darts clustered together (precise) but not at the bullseye (not accurate).

Classification of Matter

Pure Substances and Mixtures

  • Pure Substance: Matter with a fixed composition; includes elements and compounds.

  • Mixture: Physical combination of two or more substances; can be separated by physical means.

  • Homogeneous Mixture (Solution): Uniform composition throughout (e.g., saltwater).

  • Heterogeneous Mixture: Non-uniform composition (e.g., salad, sand and iron filings).

  • Element: Substance made of only one kind of atom (e.g., O2).

  • Compound: Substance composed of two or more elements chemically combined (e.g., H2O).

  • Molecule: Two or more atoms bonded together; can be elements (O2) or compounds (CO2).

Physical States of Matter

  • Solid: Definite shape and volume; particles vibrate in fixed positions.

  • Liquid: Definite volume, indefinite shape; particles move past each other.

  • Gas: Indefinite shape and volume; particles move freely and rapidly.

Physical vs. Chemical Properties and Changes

  • Physical Property: Can be observed without changing the substance (e.g., color, melting point).

  • Chemical Property: Describes a substance's ability to undergo chemical changes (e.g., flammability).

  • Physical Change: Does not alter chemical composition (e.g., melting, dissolving).

  • Chemical Change: Alters chemical composition (e.g., rusting, burning).

  • Example: Ice melting (physical); iron rusting (chemical).

Measurement Techniques and Calculations

Reading Measurements and Significant Figures

  • Analog Devices: Estimate one digit beyond the smallest marked unit.

  • Digital Devices: Record all displayed digits.

  • Significant Figures: The last digit is always estimated; reflects measurement precision.

Scientific Notation

  • Expresses numbers as a product of a coefficient (1 ≤ coefficient < 10) and a power of ten.

  • Example: 0.00045 = 4.5 × 10-4

Dimensional Analysis and Unit Conversions

  • Uses conversion factors to change units.

  • Example: To convert 5.0 km to meters:

  • Can be used in multistep problems.

Prefix Multipliers

Prefix

Symbol

Multiplier

kilo

k

103

centi

c

10-2

milli

m

10-3

micro

μ

10-6

nano

n

10-9

Density Calculations

  • Density Equation:

  • Units: g/mL or g/cm3

  • Substances with lower density float on those with higher density.

  • Rearranged Equations:

    • Mass:

    • Volume:

  • Displacement Method: Used to determine the volume of irregular objects by measuring the volume of water displaced.

Rounding Calculated Answers

  • Round final answers to the correct number of significant figures based on the least precise measurement used in the calculation.

Atomic Structure and Laws

Law of Conservation of Mass and Law of Definite Proportions

  • Law of Conservation of Mass: Mass is neither created nor destroyed in a chemical reaction.

  • Law of Definite Proportions: A compound always contains the same elements in the same proportion by mass.

  • Example: Water (H2O) always has 2 hydrogen atoms for every 1 oxygen atom.

Atomic Models and Experiments

  • Dalton's Model (Billiard Ball): Atoms are solid, indivisible spheres.

  • Thomson's Model (Plum Pudding): Atoms are spheres of positive charge with embedded electrons.

  • Rutherford's Model (Nuclear): Atoms have a small, dense, positively charged nucleus with electrons orbiting outside.

  • Thomson's Cathode Ray Experiment: Discovered the electron by observing deflection of cathode rays in electric and magnetic fields.

  • Rutherford's Gold Foil Experiment: Discovered the nucleus by observing the deflection of alpha particles.

Subatomic Particles

Particle

Charge

Mass (amu)

Location

Proton

+1

1

Nucleus

Neutron

0

1

Nucleus

Electron

-1

~0 (1/1836 of proton)

Outside nucleus

  • Protons and neutrons have similar masses; electrons are much lighter.

  • The nucleus is positively charged and contains most of the atom's mass.

  • The area outside the nucleus is negatively charged due to electrons.

Atomic Number, Mass Number, and Isotopes

  • Atomic Number (Z): Number of protons in the nucleus; defines the element.

  • Mass Number (A): Total number of protons and neutrons.

  • Number of Neutrons:

  • Number of Electrons: Equal to protons in a neutral atom.

  • Isotope: Atoms of the same element (same Z) with different numbers of neutrons (different A).

  • Symbolic Notation: , where X is the element symbol.

  • Example: has 6 protons, 8 neutrons, 6 electrons.

Average Atomic Mass

  • Calculated using the masses and abundances of isotopes:

  • Mass Number: Whole number, specific to an isotope.

  • Average Atomic Mass: Weighted average, found on the periodic table.

  • Example: If an element has two isotopes: 10 amu (20%) and 11 amu (80%), average atomic mass = amu.

Summary Table: Types of Matter

Type

Definition

Example

Element

Pure substance, one type of atom

O2, Fe

Compound

Pure substance, two or more elements chemically combined

H2O, CO2

Homogeneous Mixture

Uniform composition

Saltwater, air

Heterogeneous Mixture

Non-uniform composition

Salad, sand and iron filings

Additional info:

  • Practice problems can be found on ChemQuiz or similar resources for further study.

  • Understanding these foundational concepts is essential for success in General Chemistry.

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