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CHEM 1321: Introduction to Chemistry – Units, Prefixes, Polyatomic Ions, and Dimensional Analysis

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

Course Organization and Introduction

Overview of Course Structure

This course introduces foundational concepts in chemistry, including units, measurement, chemical nomenclature, and basic problem-solving skills. Students are expected to engage with both lecture and independent study materials, including memorization of key tables and practice with chemical equations.

  • Assessment: Four exams (15% each), a final exam, homework (WebAssign), and attendance.

  • Independent Study: Certain textbook sections and tables must be studied independently and will be included on exams.

Introduction to Chemistry

Key Study Topics

Students should review prior chemistry knowledge, focusing on the following areas:

  • SI Units and Prefixes

  • Common Polyatomic Ions

  • Chemical Nomenclature

  • Dimensional Analysis

Key Definitions

Fundamental Concepts in Chemistry

  • Law of Conservation of Mass: Mass is neither created nor destroyed in a chemical reaction.

  • Atom: The smallest unit of an element that retains its chemical properties.

  • Molecule: Two or more atoms chemically bonded together.

  • Chemical Change (Reaction): A process in which substances are transformed into different substances.

  • Law of Definite Proportions: A chemical compound always contains the same elements in the same proportion by mass.

  • Element: A substance that cannot be broken down into simpler substances by chemical means.

  • Compound: A substance composed of two or more elements chemically combined in fixed proportions.

  • Mixture: A combination of two or more substances that are not chemically bonded.

  • Homogeneous Mixture: A mixture with uniform composition throughout (e.g., saltwater).

  • Heterogeneous Mixture: A mixture with non-uniform composition (e.g., salad).

SI Units and Prefixes

Base SI Units and Common Prefixes

Understanding the International System of Units (SI) is essential for scientific measurement and communication.

Quantity

Unit

Symbol

Length

meter

m

Mass

kilogram

kg

Time

second

s

Temperature

kelvin

K

Amount of substance

mole

mol

Electric current

ampere

A

Luminous intensity

candela

cd

Prefix

Multiplier

mega

kilo

deci

centi

milli

micro

nano

pico

Note: The Greek letter mu (μ) is used for 'micro' and is pronounced "mew."

Common Polyatomic Ions

Names and Formulas of Polyatomic Ions

Polyatomic ions are ions composed of two or more atoms covalently bonded, carrying a net charge. Memorization of common polyatomic ions is essential for chemical nomenclature and reactions.

Formula

Name

Hg22+

Mercurous

MnO4-

Permanganate

NH4+

Ammonium

NO2-

Nitrite

CN-

Cyanide

NO3-

Nitrate

CO32-

Carbonate

OH-

Hydroxide

HCO3-

Hydrogen carbonate (bicarbonate)

O22-

Peroxide

C2H3O2-

Acetate

PO43-

Phosphate

HPO42-

Monohydrogen phosphate

H2PO4-

Dihydrogen phosphate

ClO-

Hypochlorite

SO32-

Sulfite

SO42-

Sulfate

HSO3-

Hydrogen sulfite (bisulfite)

HSO4-

Hydrogen sulfate (bisulfate)

CrO42-

Chromate

Cr2O72-

Dichromate

S2O32-

Thiosulfate

Oxoanions and Their Corresponding Oxoacids

Relationship Between Oxoanions and Oxoacids

Oxoanions are polyatomic ions containing oxygen and another element. When hydrogen ions are added, they form oxoacids. The table below shows common oxoanions and their corresponding acids.

Oxoanion

Acid

carbonate ion

H2CO3 (carbonic acid)

nitrite ion

HNO2 (nitrous acid)

nitrate ion

HNO3 (nitric acid)

phosphate ion

H3PO4 (phosphoric acid)

sulfite ion

H2SO3 (sulfurous acid)

sulfate ion

H2SO4 (sulfuric acid)

hypochlorite ion

HClO (hypochlorous acid)

chlorite ion

HClO2 (chlorous acid)

chlorate ion

HClO3 (chloric acid)

perchlorate ion

HClO4 (perchloric acid)

Dimensional Analysis

Unit Conversions and Problem Solving

Dimensional analysis is a method for converting one unit to another using conversion factors. It is essential for solving quantitative problems in chemistry.

  • Conversion Factors: Ratios derived from the equality between two different units (e.g., ).

  • Process: Multiply the given value by conversion factors so that units cancel appropriately, leaving the desired unit.

  • Example: To convert 1.0 g to kg:

  • Application: Calculating mass, volume, or density using provided data and appropriate unit conversions.

Sample Problems:

  • Given the density of nitrogen gas is at STP, what is the mass of 1.00 L of nitrogen gas?

  • What volume does a given mass of nitrogen gas occupy?

  • Convert the density of vanadium from to .

  • Convert a flow rate from per year to liters per second.

General Formula for Dimensional Analysis:

Chemical Equations and Balancing

Introduction to Chemical Equations

Chemical equations represent chemical reactions, showing the reactants and products with their respective quantities. Balancing chemical equations ensures the law of conservation of mass is obeyed.

  • Balancing: Adjust coefficients to ensure the same number of each atom on both sides of the equation.

  • Example: The reaction of hydrogen and oxygen to form water:

  • Tip: Hydrogen gas is diatomic and should be written as .

Practice: Attempt problems and watch instructional videos to master balancing equations.

Summary Table: SI Units and Prefixes

Quantity

Unit

Symbol

Prefix

Multiplier

Length

meter

m

kilo

Mass

kilogram

kg

milli

Time

second

s

micro

Temperature

kelvin

K

nano

Additional info: This summary table combines SI base units with common prefixes for quick reference.

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