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General Chemistry Study Guide: Constants, Units, Atomic Theory, Chemical Reactions, and Problem Solving

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Fundamental Constants and Units

Physical Constants

Physical constants are essential values used in chemical calculations and problem solving. They provide the basis for quantitative work in chemistry.

  • Avogadro's number (Na): mol-1 — the number of particles in one mole of substance.

  • Electron charge (e): C — the charge carried by a single electron.

  • Electron mass: g — mass of an electron.

  • Faraday constant (F): C/mol e- — charge per mole of electrons.

  • Gas constant (R): L·atm/(mol·K) or J/(mol·K) — used in gas law calculations.

  • Planck's constant (h): J·s — relates energy and frequency in quantum mechanics.

  • Proton mass: g — mass of a proton.

  • Neutron mass: g — mass of a neutron.

  • Speed of light (c): m/s — speed at which light travels in a vacuum.

Useful Conversion Factors and Relationships

Conversions between units are frequently required in chemistry. The following relationships are commonly used:

Quantity

Conversion

1 lb

453.6 g

1 cal

4.184 J (exactly)

1 in

2.54 cm (exactly)

1 L

1.0567 qt

1 mi

1.609 km

1 km

0.6215 mi

1 J

1 C × 1 V

1 Pa

1 N/m2

1 pm

m

Pressure Units

Pressure is a key concept in gas laws and solution chemistry. Common units and their relationships:

Unit

Equivalent

1 atm

760 mmHg = 760 torr

1 atm

101.325 kPa

1 bar

1 × 105 Pa = 100 kPa

1000 Pa

1 kPa

1 bar

0.9869 atm

Equations

Common equations for temperature conversion, density, and molarity:

  • Temperature conversions:

  • Density:

  • Molarity:

Atoms, Elements, and Atomic Theory

Atomic Structure and Subatomic Particles

Atoms are composed of protons, neutrons, and electrons. Their arrangement determines the properties of elements.

  • Protons: Positively charged particles found in the nucleus.

  • Neutrons: Neutral particles found in the nucleus.

  • Electrons: Negatively charged particles found outside the nucleus.

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

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

Example: Carbon-12 has 6 protons and 6 neutrons.

Dalton's Atomic Theory and Modifications

Dalton's atomic theory laid the foundation for modern chemistry, but has been modified over time:

  • Atoms of a given element are identical (now known to be isotopes).

  • All matter is made up of very small particles called atoms.

  • Compounds are formed from atoms.

  • Chemical reactions involve rearrangement of atoms.

Molecules, Compounds, and Chemical Formulas

Chemical Formulas and Nomenclature

Chemical formulas represent the composition of compounds. Nomenclature rules help name compounds systematically.

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

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

  • Example: Glucose: Empirical formula CH2O, Molecular formula C6H12O6.

Writing Chemical Formulas

Formulas for compounds are written using element symbols and subscripts to indicate the number of atoms.

  • Phosphorous Trioxide: P2O3

  • Gold (III) Bromide: AuBr3

  • Lithium Permanganate: LiMnO4

  • Aluminium Selenide: Al2Se3

  • Ammonium Fluoride: NH4F

  • Dichlorine Heptoxide: Cl2O7

Chemical Reactions and Stoichiometry

Types of Chemical Reactions

Chemical reactions involve the transformation of substances. Key types include:

  • Redox reactions: Transfer of electrons between species.

  • Acid-base reactions: Transfer of protons (H+).

  • Precipitation reactions: Formation of an insoluble product.

Balancing Chemical Equations

Balancing equations ensures the conservation of mass and charge. Coefficients are used to equalize the number of atoms on both sides.

  • Example:

  • Balanced:

Stoichiometry and Molarity

Stoichiometry involves quantitative relationships in chemical reactions. Molarity is a measure of concentration:

  • Molarity (M):

  • Example: To dilute 0.450 M K2CO3 to 0.315 M, use .

Lab Techniques and Problem Solving

Empirical and Percent Composition Calculations

Determining the empirical formula and percent composition is essential for analyzing compounds.

  • Percent composition:

  • Empirical formula: Find the simplest ratio of moles of each element.

Limiting Reactant and Yield Calculations

Identifying the limiting reactant and calculating theoretical and percent yield are key steps in reaction analysis.

  • Limiting reactant: The reactant that is completely consumed first, limiting the amount of product formed.

  • Theoretical yield: Maximum amount of product possible from given reactants.

  • Percent yield:

Example Problem: Ostwald Process

The Ostwald process for producing nitric acid involves:

  • Given masses of reactants, determine limiting reactant, theoretical yield, and percent yield.

Additional info:

  • Some questions and problems reference solubility rules, oxidation numbers, and organization of subatomic particles, which are foundational topics in general chemistry.

  • Tables have been recreated and expanded for clarity and completeness.

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