IndietroFundamentals of Chemistry: Matter, Measurement, and Calculations
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Introduction to Chemistry
What is Chemistry?
Chemistry is the scientific study of the composition, structure, properties, and reactions of matter. It is a central science that connects physical sciences with life sciences and applied sciences such as medicine and engineering.
Chemical: Any material used in or produced by a chemical process.
Examples in Everyday Life: Toothpaste (contains chemicals like sodium monofluorophosphate), cleaning agents, medicines, and food additives.
Additional info: Chemistry-produced items are encountered daily, from the air we breathe to the products we use.
Key Terms and Definitions
Matter: Anything that has mass and occupies space.
Atoms: The smallest units of matter that retain the properties of an element.
Molecules: Groups of atoms chemically bonded together.
Additional info: All matter is composed of atoms, which combine to form molecules.
Scientific Method in Chemistry
Steps of the Scientific Method
The scientific method is a systematic approach used to investigate phenomena, acquire new knowledge, or correct and integrate previous knowledge.
Observations: Gathering data through the senses or instruments.
Formulate Hypothesis: Proposing a tentative explanation based on observations.
Experiment (Test): Conducting controlled tests to support or refute the hypothesis.
Law (Theory): Developing principles that explain and predict phenomena.
Example: Scurvy was prevented by eating fresh fruits, leading to the discovery of Vitamin C.
Law of Conservation of Mass
In a chemical reaction, matter is neither created nor destroyed.
Equation:
Units and Measurement
Types of Measurement Systems
Measurements in chemistry use standardized units to ensure consistency and accuracy.
English System: Used primarily in the United States (e.g., inches, pounds).
Metric System: Used worldwide (e.g., meters, grams).
SI (Système International): Based on the metric system, used in scientific contexts.
Metric Prefixes
Metric prefixes indicate multiples or fractions of units.
Prefix | Symbol | Value | Scientific Notation | Example |
|---|---|---|---|---|
kilo | k | 1,000 | 1 x 103 | 1 km = 1,000 m |
centi | c | 0.01 | 1 x 10-2 | 1 cm = 0.01 m |
milli | m | 0.001 | 1 x 10-3 | 1 mm = 0.001 m |
Scientific Notation
Scientific notation expresses very large or small numbers in the form .
Example: Diameter of the Earth = m
Small numbers:
Additional info: The exponent indicates the number of times the decimal was moved.
Units of Measurement
Quantity | Unit | Unit Abbreviation |
|---|---|---|
Mass | kilogram | kg |
Length | meter | m |
Time | second | s |
Temperature | celsius | °C |
Amount | mole | mol |
Volume
Volume is the amount of space a substance occupies.
Formula for volume of a cube:
Conversion:
Mass vs. Weight
Mass: The amount of matter in an object (measured in kilograms or grams).
Weight: The force exerted by gravity on an object (measured in newtons or pounds).
Additional info: Mass is constant; weight varies with gravity.
Density
Definition and Formula
Density is a physical property that can be used to identify substances.
Formula:
Units: g/mL or g/cm3
Examples:
Density of isopropyl alcohol: 0.79 g/mL
Density of liquid water: 1.0 g/mL
Density of ice: 0.99 g/mL
Measuring and Recording Quantities
Equipment and Estimation
Measurements should be recorded to the correct number of decimal places, estimating one digit beyond the smallest scale division.
Example: If a graduated cylinder shows 21.2 mL, estimate to 21.21 mL.
Significant Figures
Significant figures (sig figs) indicate the precision of a measurement.
Nonzero digits are always significant.
Leading zeros are not significant.
Trailing zeros after a decimal point are significant.
Trailing zeros before a decimal point may be ambiguous.
Number | Sig Figs |
|---|---|
120 | 2 |
0.001 | 1 |
1.000 | 4 |
4.2 x 104 | 2 |
Sig Figs in Calculations
Addition/Subtraction: Use the fewest decimal places.
Multiplication/Division: Use the fewest sig figs.
Rounding: Round only the final answer.
Unit Conversion and Dimensional Analysis
Conversion Factors
Conversion factors are ratios used to express quantities in different units.
Example: 1 dozen = 12 eggs
To convert units, multiply across the top and divide across the bottom, canceling units as needed.
Dimensional Analysis
Dimensional analysis is a method for converting between units using conversion factors.
Example: To convert 3 dozen eggs to individual eggs:
Applications and Practice Problems
Common Conversions and Calculations
Converting mass from pounds to kilograms:
Calculating volume, mass, and dosage in medical and laboratory settings.
Using density to find mass or volume:
Example: A patient weighs 111 lb. How many kg is this? kg
Example: A doctor prescribes 4 mg/kg of Bacitracin to a 153 lb patient. Convert lb to kg, then multiply by dosage.
Two-Step Conversion Problems
Convert between units and apply dosage calculations.
Example: Calculate the amount of medication for a patient based on body weight and prescribed dosage.
Summary Table: Common Units and Conversions
Quantity | Unit | Conversion |
|---|---|---|
Length | 1 inch | 2.54 cm |
Mass | 1 lb | 454 g |
Volume | 1 cm3 | 1 mL |
Additional info: These conversions are essential for laboratory and clinical calculations in GOB Chemistry.