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Introduction to Chemistry: Comprehensive Midterm Review Study Notes

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Classification of Matter

Homogeneous vs. Heterogeneous Mixtures

Mixtures can be classified based on the uniformity of their composition.

  • Homogeneous Mixture: A mixture with a uniform composition throughout. Example: Saltwater, air.

  • Heterogeneous Mixture: A mixture with a non-uniform composition, where different parts can be distinguished. Example: Salad, sand in water.

Physical and Chemical Changes

Definitions and Examples

Understanding the difference between physical and chemical changes is fundamental in chemistry.

  • Physical Change: A change that affects the form of a chemical substance, but not its chemical composition. Examples: Melting ice, dissolving sugar in water.

  • Chemical Change: A change that results in the formation of new chemical substances. Examples: Rusting of iron, burning of wood.

Measurement and Significant Figures

Significant Figures

Significant figures reflect the precision of a measured quantity.

  • Count all nonzero digits as significant.

  • Zeros between nonzero digits are significant.

  • Leading zeros are not significant; trailing zeros are significant only if there is a decimal point.

Examples:

  • 441.5 kg: 4 significant figures

  • 1.002 2500 cm: 7 significant figures

  • 0.00309 g: 3 significant figures

Unit Conversions

Unit conversions are essential for solving chemistry problems.

  • Use conversion factors to change from one unit to another.

  • Example: 12.56 in to yards. Recall 1 in = 2.54 cm, 1 yd = 36 in.

Density and Experimental Error

Density Calculations

Density is the mass per unit volume of a substance.

  • Formula:

  • Example: If 11.0 kg of titanium has a volume of 4.67 cm3, density =

Percent Error

Percent error quantifies the accuracy of an experimental value.

  • Formula:

Atomic Structure

Atomic Number and Mass Number

Atoms are composed of protons, neutrons, and electrons.

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

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

  • Isotopes: Atoms of the same element with different numbers of neutrons.

Subatomic Particles

  • Protons: Positively charged, in the nucleus.

  • Neutrons: Neutral, in the nucleus.

  • Electrons: Negatively charged, orbit the nucleus.

Atomic Theories

Key contributors to atomic theory include Dalton, Rutherford, and Thomson.

  • Dalton: Proposed that atoms are indivisible particles.

  • Thomson: Discovered the electron (plum pudding model).

  • Rutherford: Discovered the nucleus via gold foil experiment.

Isotopes and Atomic Mass

Isotope Symbols

  • Isotope notation: , where A = mass number, Z = atomic number, X = element symbol.

Average Atomic Mass

  • Formula:

  • Example: For carbon with isotopes of 12.0 amu (98.89%) and 13.0 amu (1.11%):

Chemical Nomenclature and Formulas

Writing Formulas and Naming Compounds

  • Use the periodic table to determine charges and write correct formulas.

  • Examples:

    • Potassium and dichromate: K2Cr2O7

    • Aluminum and fluoride: AlF3

    • Copper(II) sulfate: CuSO4

    • Barium phosphate: Ba3(PO4)2

    • Sodium nitrate: NaNO3

Polyatomic Ions and Charges

  • Common polyatomic ions: sulfate (SO42−), nitrate (NO3−), phosphate (PO43−).

  • Transition metals may have multiple charges (e.g., Fe2+, Fe3+).

Chemical Reactions

Types of Chemical Reactions

Chemical reactions can be classified into several types:

Type

General Form

Example

Synthesis

A + B → AB

2H2 + O2 → 2H2O

Decomposition

AB → A + B

2H2O → 2H2 + O2

Single Replacement

A + BC → AC + B

Zn + 2HCl → ZnCl2 + H2

Double Replacement

AB + CD → AD + CB

AgNO3 + NaCl → AgCl + NaNO3

Combustion

Hydrocarbon + O2 → CO2 + H2O

CH4 + 2O2 → CO2 + 2H2O

Balancing Chemical Equations

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

  • Balance equations by adjusting coefficients, not subscripts.

Stoichiometry and Chemical Quantities

Mole Concept

  • 1 mole = particles (Avogadro's number).

  • Molar mass: mass of 1 mole of a substance (g/mol).

Percent Composition

  • Formula:

Empirical and Molecular Formulas

  • Empirical formula: simplest whole-number ratio of atoms in a compound.

  • Molecular formula: actual number of atoms of each element in a molecule.

Gases and Gas Laws

Gas Laws

  • Boyle's Law: (at constant T and n)

  • Charles's Law: (at constant P and n)

  • Ideal Gas Law:

Applications

  • Calculate changes in gas volume, pressure, or temperature using the appropriate law.

  • STP (Standard Temperature and Pressure): 0°C (273.15 K) and 1 atm.

Solutions and Percent Yield

Percent Yield

  • Formula:

Additional Topics

  • Writing and balancing chemical equations for reactions such as double replacement and combustion.

  • Calculating the mass of reactants and products using stoichiometry.

  • Identifying limiting reactants in chemical reactions.

Additional info: Some context and examples were expanded for clarity and completeness based on standard introductory chemistry curricula.

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