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Fundamentals 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.

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