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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
- 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.
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.
- All nonzero numbers are always counted as significant figures.
- 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
- Leading zeros are never significant.
- Trailing zeros may not count if there is no decimal point; conservative estimation is used.
Examples of Counting SF
| Measured Number | Significant Figures |
|---|
| 4.5 g | 2 |
| 5.008 kg | 4 |
| 0.0004 s | 1 |
| 0.0450 m | 3 |
| 4500 | 2 (could be more depending on context) |
Rounding Off Rules
- If the first digit to be dropped is 4 or less, drop it and all following digits.
- 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
| Prefix | Symbol | Numerical Value | Equality |
|---|
| Kilo | k | 1000 | 1 km = 1 × 10³ m |
| Mega | M | 1,000,000 | 1 Mg = 1 × 10⁶ g |