BackMatter and Measurements: Fundamentals of General, Organic, and Biological Chemistry
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Chapter One: Matter and Measurements
Chemistry: The Central Science
Chemistry is the study of matter, its properties, and the changes it undergoes. It serves as a foundational science for understanding biological and physical processes.
Matter: Anything that has mass and occupies space.
Chemistry connects physics, biology, medicine, and engineering.
Applications: Pharmaceuticals, materials science, environmental science.
States of Matter
Matter exists in different physical forms known as states. The three primary states are solid, liquid, and gas.
Solid: Definite shape and volume; particles are closely packed.
Liquid: Definite volume but no definite shape; particles are less tightly packed than in solids.
Gas: Neither definite shape nor volume; particles are far apart and move freely.
Example: Water exists as ice (solid), liquid water, and steam (gas).
Classification of Matter
Matter can be classified based on its composition and properties.
Pure Substances: Elements and compounds with fixed composition.
Mixtures: Physical combinations of two or more substances; can be homogeneous (solutions) or heterogeneous.
Example: Air (homogeneous mixture), sand and iron filings (heterogeneous mixture).
Chemical Elements and Symbols
Chemical elements are the simplest forms of matter and are represented by symbols.
Element: A substance that cannot be broken down into simpler substances by chemical means.
Chemical Symbol: One- or two-letter abbreviation for an element (e.g., H for hydrogen, O for oxygen).
Chemical Reactions: Examples of Chemical Change
Chemical reactions involve the transformation of substances into new substances.
Chemical Change: Alters the composition of matter (e.g., rusting of iron).
Physical Change: Alters the form but not the composition (e.g., melting ice).
Physical Quantities: Units and Scientific Notation
Physical quantities are measured using standardized units. Scientific notation is used to express very large or small numbers.
SI Units: International System of Units; includes meter (m), kilogram (kg), second (s), liter (L), kelvin (K).
Scientific Notation: Expresses numbers as a product of a coefficient and a power of ten (e.g., ).
Measuring Mass, Length, and Volume
Measurement is fundamental in chemistry. Mass, length, and volume are basic physical quantities.
Mass: A measure of the amount of matter in an object.
Weight: A measure of the gravitational force exerted on an object.
Units of Mass: Gram (g), kilogram (kg), milligram (mg), pound (lb), ounce (oz).
Units of Length: Meter (m), centimeter (cm), millimeter (mm), inch (in), foot (ft).
Units of Volume: Liter (L), milliliter (mL), cubic centimeter (cm3), gallon (gal), fluid ounce (fl oz).
Example: 1 kg = 1000 g; 1 L = 1000 mL; 1 in = 2.54 cm.
Measurement and Significant Figures
All measurements have a degree of uncertainty. Significant figures indicate the precision of a measurement.
Significant Figures: The number of meaningful digits in a measurement.
Rules:
All nonzero digits are significant.
Zeroes between nonzero digits are significant.
Leading zeroes are not significant.
Trailing zeroes are significant if there is a decimal point.
Example: 0.00230 (3 significant figures); 2030 (3 significant figures).
Rounding Off Numbers
Rounding is used to report measurements with the correct number of significant figures.
Rule 1: The answer should have the same number of significant figures as the measurement with the fewest significant figures.
Rule 2: For addition/subtraction, the answer should have the same number of decimal places as the measurement with the fewest decimal places.
Example: 124 lb + 1.884 lb = 126 lb (rounded to 3 significant figures).
Problem Solving: Unit Conversions and Estimating Answers
Unit conversions are essential in chemistry and medicine. The factor-label method is commonly used.
Factor-Label Method: Multiply by conversion factors so that unwanted units cancel, leaving the desired units.
Example:
Common Conversion Factors:
1 L = 1000 mL
1 lb = 454 g
1 in = 2.54 cm
Temperature, Heat, and Energy
Temperature measures the amount of heat energy in an object. Energy is the capacity to do work or supply heat.
Temperature Units: Celsius (°C), Fahrenheit (°F), Kelvin (K).
Kelvin Scale:
Celsius to Fahrenheit:
Fahrenheit to Celsius:
Energy Units: Joule (J), calorie (cal), kilocalorie (kcal)
Conversions: ;
Specific Heat: The amount of heat needed to raise the temperature of 1 g of a substance by 1 °C.
Example: Water has a specific heat of 1.00 cal/g°C.
Substance | Specific Heat (cal/g°C) | Specific Heat (J/g°C) |
|---|---|---|
Ethanol | 0.59 | 2.5 |
Gold | 0.031 | 0.13 |
Iron | 0.106 | 0.444 |
Mercury | 0.033 | 0.14 |
Sodium | 0.293 | 1.23 |
Water | 1.00 | 4.18 |
Density and Specific Gravity
Density relates the mass of an object to its volume. Specific gravity compares the density of a substance to that of water.
Density:
Units: g/cm3 for solids, g/mL for liquids.
Specific Gravity:
Applications: Hydrometers and urinometers are used to measure specific gravity in laboratory and medical settings.
Example: If the density of isopropyl alcohol is 0.7855 g/mL, the volume needed for 25.0 g is
Substance | Density (g/cm3) |
|---|---|
Ice (0°C) | 0.917 |
Gold | 19.3 |
Human fat | 0.94 |
Table sugar | 1.59 |
Balsawood | 0.12 |
Water (3.98°C) | 1.000 |
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