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Vaal University of Technology: Chemistry & Measurements Study Notes

Outcome 1: Chemistry and Measurements

What is Chemistry?
  • Definition: Chemistry is the study of elements (e.g., atoms, molecules, compounds, ions) and their chemical composition, characteristics, structure, and reactions.
  • Key Focus Areas:
    • Chemical interaction (bonding) between elements, atoms, and molecules.
Branches of Chemistry
  • Types of Chemistry:
    • Environmental Chemistry
    • Analytical Chemistry
    • Organic Chemistry
    • Inorganic Chemistry
    • Physical Chemistry
    • Quantum Chemistry
    • Polymer Chemistry
    • Biophysical Chemistry
    • Nuclear Chemistry

Units of Measurement

Definition and Importance
  • Unit: A definite magnitude of a quantity, defined by conversion or by law.
  • Significance: Measurements in chemistry use standard units. In scientific and health contexts, the metric system (International System of Units, SI) is primarily used (with exceptions, such as the US).
  • Meaninglessness of Numbers: A number without a unit is generally meaningless.
Metric System
  • The SI System Units:
    • Length: meter (m)
    • Volume: liter (L)
    • Mass: gram (g)
    • Temperature: degree Celsius (°C)
    • Time: second (s)
    • Additional SI units include:
    • Cubic meter (m³) for volume and kilogram (kg) for mass

Scientific Notation

Definition and Format
  • Scientific Notation: A method of expressing very large or small numbers as the product of a decimal less than 10, multiplied by the power of 10.
    • Format: A number in scientific notation consists of three parts: a coefficient, a power of 10, and a unit of measurement.
    • Examples:
    • Effectiveness of scientific notation on large/small numbers.

Measured Numbers and Significant Figures

Definitions
  • Measured Numbers: Obtained when measuring a quantity using a measuring tool (height, weight, temperature).
  • Significant Figures (SF): The digits in a measured number that are important, including the estimated digit.
    • Rules:
    1. All nonzero numbers are always counted as significant figures.
    2. A zero is significant if it is:
      • Between nonzero digits
      • At the end of a decimal number
      • In the coefficient of a number written in scientific notation
    3. Leading zeros are never significant.
    4. Trailing zeros may not count if there is no decimal point; conservative estimation is used.
Examples of Counting SF
Measured NumberSignificant Figures
4.5 g2
5.008 kg4
0.0004 s1
0.0450 m3
45002 (could be more depending on context)

Rules for Significant Figures in Calculations

Rounding Off Rules
  1. If the first digit to be dropped is 4 or less, drop it and all following digits.
  2. If the first digit to be dropped is 5 or greater, increase the last retained digit by 1.
Example Calculations
  • For 8.4234 rounded to three significant figures: 8.42
  • For 14.780: rounded to three significant figures yields 14.8.
  • For large numbers: 3260 when two significant figures are kept.

Prefixes, Equalities, and Conversion Factors

Definition of a Prefix
  • A symbol or sequence of symbols attached to the front of a word, modifying its meaning and indicating size relative to base units.
Common Prefixes and Their Values
PrefixSymbolNumerical ValueEquality
Kilok10001 km = 1 × 10³ m
MegaM1,000,0001 Mg = 1 × 10⁶ g