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Chemistry — Math expr, Mole moles (extended) Cheat Sheet

The core ideas of Chemistry — Math expr, Mole moles (extended) distilled into a single, scannable reference — perfect for review or quick lookup.

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Quick Reference

Atomic Structure

Atoms consist of a dense nucleus containing protons and neutrons, surrounded by electrons occupying quantized energy levels called orbitals. The number of protons defines the element, while the arrangement of electrons determines chemical reactivity and bonding behavior.

Chemical Bonding

Chemical bonds are the attractive forces that hold atoms together in compounds. The three primary types are ionic bonds (transfer of electrons between atoms), covalent bonds (sharing of electron pairs), and metallic bonds (delocalized electron sea among metal cations).

Stoichiometry

Stoichiometry is the quantitative study of the relative amounts of reactants and products in chemical reactions. It relies on balanced chemical equations and the mole concept to predict how much product can be formed from given quantities of reactants.

The Mole Concept

The mole is the SI unit for the amount of substance, defined as exactly $6.022 \times 10^{23}$ representative particles (Avogadro's number). It provides the critical bridge between the atomic scale, where individual atoms and molecules exist, and the macroscopic scale of grams and liters used in the laboratory.

Chemical Thermodynamics

Chemical thermodynamics studies the energy changes that accompany chemical reactions and phase transitions. Key concepts include enthalpy (heat content), entropy (disorder), and Gibbs free energy, which determines whether a reaction will proceed spontaneously under given conditions.

Acid-Base Chemistry

Acids are substances that donate protons ($\text{H}^+$ ions) or accept electron pairs, while bases accept protons or donate electron pairs. The pH scale, ranging from 0 to 14, quantifies the acidity or basicity of a solution based on the concentration of hydrogen ions.

Chemical Equilibrium

Chemical equilibrium is the state in which the forward and reverse reactions occur at equal rates, resulting in constant concentrations of reactants and products. Le Chatelier's principle predicts how a system at equilibrium responds to changes in concentration, pressure, or temperature.

Organic Chemistry Fundamentals

Organic chemistry is the study of carbon-containing compounds and their reactions. Carbon's ability to form four stable covalent bonds and create long chains, branched structures, and rings gives rise to an enormous diversity of molecules, including hydrocarbons, alcohols, carboxylic acids, and amines.

Electrochemistry

Electrochemistry studies the relationship between electrical energy and chemical reactions. It encompasses galvanic cells, which convert chemical energy into electrical energy, and electrolytic cells, which use electrical energy to drive non-spontaneous chemical reactions.

Chemical Kinetics

Chemical kinetics is the study of reaction rates and the factors that influence how quickly reactants are converted to products. Temperature, concentration, surface area, and catalysts all affect reaction speed, and rate laws provide mathematical expressions for these relationships.

Key Terms at a Glance

Acid:A substance that donates protons ($\text{H}^+$ ions) to another substance or accepts an electron pair in a chemical reaction.
Activation Energy:The minimum energy required by reactant molecules to initiate a chemical reaction.
Anion:A negatively charged ion formed when an atom gains one or more electrons.
Anode:The electrode at which oxidation (loss of electrons) occurs in an electrochemical cell.
Avogadro's Number:The constant $6.022 \times 10^{23}$, representing the number of particles in one mole of any substance.
Base:A substance that accepts protons ($\text{H}^+$ ions) or donates an electron pair in a chemical reaction.
Catalyst:A substance that increases the rate of a chemical reaction by lowering the activation energy without being permanently consumed.
Cathode:The electrode at which reduction (gain of electrons) occurs in an electrochemical cell.
Cation:A positively charged ion formed when an atom loses one or more electrons.
Compound:A pure substance composed of two or more different elements chemically bonded in a fixed ratio.
Covalent Bond:A chemical bond formed by the sharing of one or more pairs of electrons between two atoms.
Electronegativity:A measure of the tendency of an atom to attract a bonding pair of electrons toward itself.
Enthalpy:A thermodynamic property representing the total heat content of a system at constant pressure.
Entropy:A measure of the disorder or randomness of a system, tending to increase in spontaneous processes.
Equilibrium:The state in a reversible reaction where the rates of the forward and reverse reactions are equal and concentrations remain constant.

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Chemistry — Math expr, Mole moles (extended) Cheat Sheet - Quick Reference Guide | PiqCue