AN INTRODUCTION TO CHEMISTRY Science 2009 – 2010 Academic Decathlon A Brief History of Chemistry In this section, we will cover: Chemistry prior to the Scientific Revolution Antoine Lavoisier and the Birth of Modern Chemistry Chemistry After Lavoisier Ten Independent Research Topics, including Mixing Metals and Radioactivity Chemistry Prior to the Scientific Revolution Gold → copper → tin and bronze Iron: Meteorites? Mixed with carbon to form steel Glass and pottery: decoration, utility IRT: Mixing Metals to Make Bronze Bronze: 90% copper, also arsenic, tin, antimony, lead First used by Sumerians (3600 BCE) Used for weapons, decoration Methods: open casting, “lost-wax” Superior Chinese alloys → effective defense IRT: The Use of Dyes and Preservatives Cave paintings and Egyptian tombs → Roman Empire, Phoenicians, Minoan Crete Woad, indigo, oxides of mercury, Tyrian purple Mummy wrappings, stained glass, linen and hemp IRT: Alchemy and the “Philosopher’s Stone” Transmutations: base metals into gold Practiced as a science from 331 BCE to roughly 300 CE Philosopher’s Stone: Transmutations Elixir of Life IRT: Gunpowder and Fireworks Saltpeter, charcoal, sulfur Invented by Chinese before 1100 CE Roger Bacon recipe: Opus Tertium Sent to Pope Rockets, projectiles → cannons Battle of Crecy: 1346 CE IRT: Early Thinkers on the Nature of Matter Aristotle: Ideas from Plato (used term “element”) et al Four properties: hot, cold, wet, dry Four elements: fire, air, water, earth Fifth element: ether Democritus: Small discrete particles Properties of these “atoms”? Antoine Lavoisier and the Birth of Modern Chemistry Notable chemists 16th-early 19th century: Johann Baptista van Helmont, Robert Boyle, Joseph Black, Henry Cavendish, Joseph Priestly Antoine Lavoisier: coherent gathering of current theories (nature of air, oxidation, water, matter) Involved in French Revolution, targeted by Jacobins IRT: The “Living Tree” Experiment Johann Baptista van Helmont Living systems Tree growing out of “water onely” [sic] Tree weight vs. soil weight IRT: Antoine Lavoisier and His Role and Fate in the French Revolution Born to a wealthy lawyer, studied accounting and law President of a bank, member of the Ferme Generale (private tax collection agency) Supported the new regime during/after revolution Targeted and executed → links to chemistry and old regime IRT: Madame Lavoisier Marie Anne Pierrette Paulz married Antoine Lavoisier in 1771 Father was in the Ferme Generale Learned chemistry and English to assist in lab Arrested and held for 65 days by Jacobins in power Remarried in 1805, then divorced, died alone Chemistry After Lavoisier Henri Becquerel: radioactivity Pierre and Marie Curie: radioactive decay J.J. Thompson: electron Ernest Rutherford: atomic nucleus James Chadwick: neutron Niels Bohr: electron orbitals Frederick Soddy: isotopes IRT: Radioactivity and Nuclear Structure Henri Becquerel: radioactive decay with photographic plates, 1896 Pierre and Marie Curie: radioactivity and two new elements (polonium, radium), 1898 Ernest Rutherford: alpha particles and atomic structure, 1920 James Chadwick: neutron, 1932 Chemistry After Lavoisier Albert Einstein: photoelectric effect Louis de Broglie and Erwin Shroedinger: quantum energy relationships Periodic Table Inter-/Intramolecular Forces Dipoles Heat, Work, Temperature Reactants, Products, Chemical Kinetics IRT: The Periodic Table and Associated Periodicity Dmitri Mendeleev Repeating properties among elements Issues with ordering by weight Re-measuring and skipping positions helped Henry Moseley: ordering by atomic numbers Wrap-Up Both times of peace and war brought about advancements in chemistry Antoine Lavoisier and those like him were vital to the development of modern chemistry Chemistry since Lavoisier has developed rapidly across many fields The Structure of Matter In this section, we will cover: Atomic Theory and Structure Chemical Bonding and Intermolecular Forces Molecular Models Nuclear Chemistry Ten Independent Research Topics, including Electronegativity and Fission and Fusion Reactions Atomic Theory and Atomic Structure Atomic structure dictates element chemical behavior Positive, negative, neutral particles Weight of one atom determined by weighing many atoms Mass spectrometers: accuracy IRT: Mass Spectrometry Separates and measures compounds Main components: Ion source Mass analyzer Detector Curved magnet or cycling magnetic field Atomic Theory and Atomic Structure: Mass and Isotopes Atomic number: protons Atomic mass: protons + neutrons Same element with different numbers of neutrons: isotopes Carbon: atomic standard (12 amu) Weighted averages: (isotope A abundance x isotope A weight) + (isotope B abundance x isotope B weight) IRT: Properties and Importance of Commonly Recognized Isotopes 21 H (Deuterium): Tracer isotope Fusion reaction with tritium 146 C: Radiocarbon dating Climate change studies 6027 Co: Highly radioactive: kills cancer cells and bacteria Examines steel components Atomic Theory and Atomic Structure: Electrons Absorption or emission spectrum: determining structure of an atom Bohr Model of the atom: fixed orbits Quantum Mechanical Model: non-fixed orbits Electron clouds: orbits (s and p) Orbital shapes determine bonding behaviors IRT: Wave and Particle Nature of the Electron and Photon All matter exhibits both wave and particle properties Light as a particle: photoelectric effect Electrons as energy: Davisson-Germer experiment Atomic Theory and Atomic Structure: The Periodic Table Number of orbitals determine period Across a row (period): Atomic radius decreases Ionization energy increases Electron affinity increases Atomic Theory and Atomic Structure: The Periodic Table Down a column (group or family): Atomic radius increases Ionization energy decreases Electron affinity decreases IRT: Electronegativity One atom’s attraction of electrons from the adjacent atom to which it is chemically bonded Higher value = greater attraction Increases up a group and across a period Fluorine → most strongly electronegative Values predict “winners” Chemical Bonding and Intermolecular Forces: Intramolecular Forces Ionic: Electron transfer NaCl Covalent: Sharing electrons CH4 Metallic: Electron sea Brass Chemical Bonding and Intermolecular Forces: Intermolecular Forces Van der Waals force: uneven distribution of positive and negative charges (temporary or permanent) Hydrogen bonds: strongly electromagnetic atom bonded to hydrogen on another molecule IRT: The Importance of Hydrogen Bonding in Living Systems DNA contains hydrogen, oxygen and nitrogen Hydrogen bonds in DNA create its double helix structure Chemical Bonding and Intermolecular Forces: Effects and Properties of Bonds Solid structures: Ionic lattice Covalent network or molecular solid Translational motion Strength of force determines state at room temperature Uneven bonds are polar Molecular Models: Lewis Structures G.N Lewis (18751946) Lewis Structures Dots represent electrons Valence electrons (bonding) Bonding pairs and non-bonding (“lone”) pairs Valence Bonds and Hybridization Single bond One overlap between orbitals Double-bond or triple-bond Multiple overlaps Hybridization Different orbital shapes combine to form a new shape IRT: The Formation of Molecular Orbitals Orbitals are electron waves in particular positions and shapes Sigma (s) orbitals Overlap concentrated along an imaginary connecting line Pi (p) orbitals Overlap concentrated away from connecting line IRT: The Formation of Molecular Orbitals N2: one sigma and two pi bonds O2: one sigma and one pi bond F2: one sigma bond CO2: one sigma and one pi bond for each oxygen atom Molecular Models: VSEPR Models Valence Shell Electron Pair Repulsion model Three dimensions Molecular geometry (tetrahedron, linear, et al) IRT: The Resonance Concept Model Explains bond properties in mathematically uneven bonds Sharing and distributing electrons to satisfy the octet O3 and SO3 Molecular Models: Oxidation States Assigned based on electron loss/gain H2O: H = +1 O = -2 Sum of oxidation numbers in neutral molecular equals zero Sum of oxidation numbers in charged molecule equals total charge Molecular Models: Dipole Moments and Polarity Dipole moment Lack of symmetry Bond dipoles do not cancel each other out Polar molecules polarity → strong van der Waals forces Stronger bonds Higher boiling and melting points High Nuclear Chemistry Radioactive atoms Unstable nuclei (varying ratios of neutrons to protons) Regain stability through various pathways Alpha decay: loss of helium nucleus Beta decay: neutron → proton Positron decay: proton → neutron IRT: Decay Equations and Predicting Products of Decay – Alpha Alpha decay Very large nuclei Atoms of bismuth and those larger Sample: 23892U → 234 Th 90 + 4 He2+ 2 IRT: Decay Equations and Predicting Products of Decay – Beta and Positron Beta (beta-minus) decay: Too many neutrons Sample: 3 2H → 31He + electron + antineutrino Positron (beta-plus) decay: Too many protons Sample: 104C → 105B + positron + neutrino IRT: Alpha Bombardment Reactions Ernest Rutherford: 1919 Nuclear transformations can be caused by bombardment (including alpha bombardment) Example: 42He + 147N → 178O + 11H IRT: Fission and Fusion Reactions Example fission of uranium-235: + neutron → 13454Xe80 + 10038Sr62 + neutron + neutron Products vary (typically amu of 130 and 100 plus 2-3 neutrons) 23592U143 Hydrogen-2 and Hydrogen-3 fusion: → 42He2 + neutron Not yet feasible for large-scale power 21H1 + 31H1 Wrap-Up Various notations and models are used to express and explain atomic structure and bonds Bonds vary in composition, type, structure and polarity Lewis and VSEPR models help visually express molecular orientation and geometry Nuclear chemistry involves radioactivity and decay reactions of various types States of Matter In this section, we will cover: Gases, Liquids and Solids Phase Diagrams Solutions Four Independent Research Topics, including Carbon Dioxide and Raoult’s Law Gases: Laws of Ideal Gases Boyle’s Law: P x V = a constant (C) Charles’ Law: V/T = a constant (D) Combination: PV/T = CD Tracking changes: (P1V1)/T1 = (P2V2)/T2 IRT: Partial Pressures and Correction of Gas Volumes Collected Over Water Gas proportions in mixtures → expressed in mole fractions Dalton’s Law: Mole fraction A = Pressure of A / Total Pressure Gas container over water Water vapor pressure relies only on temperature Total pressure – water vapor pressure = gas pressure Gases: Kinetic Molecular Theory Four major assumptions about ideal gases: 1. A pure gas consists of tiny, identical molecules 2. The molecules move very rapidly in all directions but at different speeds 3. No forces of repulsion or attraction exist between the molecules 4. Gas pressure is a result of collisions of the molecules with the walls of the container (no loss of energy) Gases: Particle Speed Average molecule speed (u) determines frequency of collisions with given side length (l) Momentum change from collisions determines force Molecule mass = m Force = (mu2)/l Number of molecules = N Pressure = (1/3)((Nmu2)/V) or PV = (1/3)Nmu2 Gases: Avogadro’s Law Number of molecules determines gas behavior Mass → less important Given temperature, pressure and volume → same number of molecules Gases: Volume and Mass of One Mole One mole: Number of molecules in a volume of 22.4 liters at 1 atmosphere pressure at 273 K OR Number of atoms in 12 grams of carbon-12 Avogadro’s number: 6.022 x 1023 molecules Molar mass is g/mol Gases: Root Mean Square Speed Average single molecule’s speed: u Root mean square speed of one mole: u = sqrt((3kT)/m) = sqrt((3RT)/M) R is the Boltzmann constant recomputed for one mole of gas (“universal molar gas constant”) IRT: The Behavior of Gases Under Extreme Conditions High pressure, low volume and low temperature → gases do not behave ideally Van der Waals’ formula to predict non-ideal gas properties: = ((nRT)/(V-nb)) – ((n2a)/V2) a and b: correction values for volume and molecular attraction (smaller → more ideal) P Large van der Waals values make for ideal refrigerator coolants Gases: The Ideal Gas Equation For one mole: pressure x volume = R (universal molar gas constant) x temperature (in Kelvin) For n number of moles: Related to the combination of Boyle’s and Charles’ Laws Gases: Relative Rates of Diffusion and Effusion Diffusion: gas spreading out from a source Effusion: gas escaping from a small hole Impossible to determine in non-vacuum environment Relative speeds can be determined Heavier (more massive) molecules move slower Liquids Intermediate between gas and solid: Some intermolecular forces, translational motion Moderate degree of order Liquids Long-range ordering (depends on qualities of liquid) Water is more ordered than other liquids like octane (stronger forces) Intermediate density (between gas and solid) Solids Solids are highly ordered Types: Ionic lattice Covalent network Molecular Metallic Some substances exist in multiple forms (allotropes) Solids Carbon: many different bonding arrangements Graphite: stable at room temperature Diamond: formed when graphite is under high pressure Can be created in labs Particle size affects structure Closely-packed particles have strong bonds Solids: Properties of Metals Simple metallic structures: Body-centered cubic (shown) Cubic closest packed Hexagonal closest packing Properties of metals: Lustrous Good conductors of heat and electricity Sonorous Malleable Ductile Phase Diagrams: Concepts 1. Constructed assuming a sealed container 2. Dynamic transfer 3. Equilibrium 4. Vapor (gas) present at any temperature Phase Diagrams: Features Phase Diagrams: Water Backward-sloping line between solid and liquid states Gives ice and liquid water unique properties IRT: Carbon Dioxide Liquid CO2: difficult to observe High pressure and low temperature Supercritical CO2: industrial solvent Solutions: Concepts Solubility: how much of a solute will dissolve Concentration: relative amounts of solute in a solution Physical properties: some occur when solutions are formed Solutions: Types and Factors “Like dissolves like”: Water (polar) with salt or sugar Octane (non-polar) with vegetable oil Strong reaction with water: hydration Solubility : the relationship between intermolecular forces and forces trying to break molecules apart Solutions: Solubility Rules I. II. III. IV. V. VI. Common compounds of group I and ammonium are soluble Nitrates, acetates and chlorates are soluble Binary halogens (not F) are soluble with metals, except Ag, Hg(I) and Pb Sulfates are soluble, except barium, strontium, calcium, lead, silver and mercury Except for the first rule, carbonates, hydroxides, oxides, silicates and phosphates are insoluble Most sulfides are insoluble except calcium, barium, strontium, magnesium, sodium, potassium and ammonium Solutions: Aqueous Solutions Maximum dissolved solute: saturated solution Ions combining in solution to form insoluble particles → precipitates Lowering temperature can bring crystals out of solution Stalactites and stalagmites Compounds with O-H bonds dissolve in water (glucose) Solutions: Organic Solvents Often contain only carbon and hydrogen Used for grease and oil removal Toxic to humans Disposed by burning Recent developments → modern soap and detergent: interact with non-polar molecules but are water-soluble Supercritical fluids: solvents? Solutions: Expressing Concentration Percent Composition X grams of a solute in Y grams of solvent (usually 100) Molarity Moles of solute per liter of solution Used in scientific applications Molality Moles of solute per kilogram of solvent Mole fraction Tracks colligative properties IRT: Raoult’s Law and Colligative Properties: Salts Physical properties of a solution are relative to number of moles of solute Salts in water create larger than expected changes NaCl in water has twice the effect: two moles of ions per mole of NaCl CaCl2: three moles of ions per mole of CaCl2 Salts lower freezing point of water → deicing roads NaCl is harmful to the environment so calcium magnesium acetate has been proposed (et al) IRT: Raoult’s Law and Colligative Properties: Distillation of Water Vapor above a solution is pure solvent Distillation seeks to capture this vapor (in a water-based solution) to collect drinking water Easier to scale up, less setup and maintenance, less waste Reverse osmosis is the most viable alternative Water is pressurized and pumped through membranes that filter out impurities Lower energy needs, lower discharge water temperature, purer output, smaller physical area Wrap-Up Gases, liquids and solids each have unique properties that govern their behavior Phase diagrams illustrate the transitions between and conditions of these three states These behaviors and conditions are important in determining how substances will interact and what the products of those interactions (solutions) will be Reactions In this section, we will cover: Acid-Base, Precipitation and Redox Reactions Electrochemistry Stoichiometry Equilibrium Kinetics Thermodynamics Five Independent Research Topics, including Electroplating and Hess’ Law Types of Reactions Synthesis (combination) A Decomposition A + B → C or 2Na + Cl2 → 2NaCl → B + C or 2H2O2 → 2H2O + O2 Double replacement + CD → AD + CB or Pb(NO3)2(aq) + 2KI(aq) → PbI2(s) + 2KNO3(aq) AB Types of Reactions Single replacement With metal: M + BC → MC + B Cu(s) + 2AgNO3(aq) → Cu(NO3)2(aq) + 2Ag(s) With non-metal: N + BC → BN + C Cl2 + 2KBr → 2KCl + Br2 Types of Reactions Combustion Reactant + O2 CH4 + 2O2 → 2H2O + CO2 Produces heat and sometimes light Properties of substances involved dictate the type of reaction that will occur Acid-Base Reactions: Theories Arrhenius H+ Bases yield OH NH3: basic but with no OH Acids yield Brønsted-Lowry H+ Bases receive H+ Explains NH3 (it receives H+) Acids donate Water can be an acid or base: amphoteric Acid-Base Reactions: pH pH = -log[H3O+] 0-14 scale Below 7 is acidic, above 7 is basic Exactly seven is neutral (like pure water) All acidic and basic solutions have both acids and bases in them Acid-Base Reactions: Titrations Titration: acids and bases mixed together and measured as they interact Endpoint or equivalence point: moles of acid and base are equal Colored indictor shows this point Acid-Base Reactions Acids can be diprotic or triprotic Double replacement reaction: + base → salt + water Salt product can be acidic, basic or neutral acid Stronger acids transfer more hydrogen ions to water IRT: Acid-Base Reactions and Salts Salt ions can interact with water: hydrolysis Can produce basic, acidic or neutral solutions Basic salt (sodium acetate) in water Weak acetic acid in a basic solution Acidic salt (ammonium chloride) in water Ammonia (weak base) in an acidic solution Neutral salt (sodium chloride) in water No reaction, neutral solution Precipitation Reactions A type of double replacement reaction Two solutions mixed → one of the products comes out of solution as a solid Spectator ions: ions not forming precipitates Precipitation Reactions: Example Balanced reaction equation: AgNo3(aq) + NaCl(aq) → AgCl(s) + NaNO3(aq) With ions separated: + NO3-(aq) + Na+(aq) + Cl-(aq) → AgCl(s) + NO3-(aq) + Na+(aq) Ag+(aq) Net reaction with no spectators: Ag+(aq) + Cl-(aq) → AgCl(s) IRT: Precipitates Mercury Harmful to people and the environment Industries have reduced output Atmospheric particulates Harmful inside the lungs Can be brought out of solution as precipitate Silver Used in solution to develop photographs Can be reclaimed and used for other purposes Oxidation-Reduction Reactions Oxidation: loss of electrons Reduction: addition of electrons Oxidation number Equal to the number of electrons that must be added or subtracted to make an element neutral Can be positive, negative or neutral Oxidation-Reduction Reactions Rules of oxidation states: Group I elements are all +1 Oxygen is -2 Neutral atoms are 0, neutral compounds add up to 0 Polyatomic ions must add up to the total charge Electrons are conserved All freed electrons must be used Balanced equation example: Cu + 2Ag+ → Cu2+ + 2Ag Electrochemistry: Terms Electrochemistry uses redox reactions Electroplating (including chromeplating) Voltage: tendency of electrons to leave or join an atom (cell potential) Electrochemistry: Voltage Voltage = potential of oxidation – potential of reduction Positive values proceed forward Negative values proceed in reverse Cu + 2Ag+ → Cu2+ + 2Ag → Cu2+ + 2e- E˚ = -0.34 V Ag+ + 1e- → Ag E˚ = +0.80 V (-0.34 + 0.80) = +0.46 V Spontaneous reaction Cu Electrochemistry: Galvanic Electrochemical Cell & Electrolysis J. F. Daniell 1836 Earliest reliable battery Anode: oxidation Cathode: reduction Electrolysis: nonspontaneous reaction with voltage applied IRT: Electroplating Auto industry Chrome plating: hardness, corrosion-/wear-resistance Aerospace industry Gold plating: non-reactive protection, reflectivity Platinum, palladium, nickel, copper, silver and rhodium Faraday: electric charge on one mole of electrons One Faraday = 96,500 coulombs of charge Voltage used x coulombs needed = energy in kilojoules IRT: The Nernst Equation Connects cell potentials to free energy changes in chemical reactions E = E˚ – RT ln Q/nF or E = E˚ – (0.0592 log Q)/n Example: + Cu2+(aq) → Zn2+(aq) + Cu(s) +1.10 under standard conditions, n for Zinc is 2 E = +1.10 – 0.0592/2 log [Zn2+]/[Cu2+] Equal concentrations of reactants and products yields standard value (+1.10) Zn(s) Stoichiometry Balanced equations that keep track of substances Stoichiometry preserves ratios of substances Same principle used in cooking and recipe conversion Applies to ion charges and redox reactions Stoichiometry Stoichiometry is used to determine yields Limiting reactant: the substance in a reaction that will determine how much one can yield Example: 2H2 + O2 → 2H2O with 12g of H2 and 32g of O2 12g/2 M = 6 moles of hydrogen 32g/32 M = 1 mole of oxygen 4 moles of hydrogen left over Oxygen is the limiting reactant Equilibrium Reactions do not always go in just one direction Forward and reverse at same rate: equilibrium Equilibrium constant: K = ([C][D])/([A][B]) Ka – Acids, Kb – Bases, Ksp – Precipitates, Kp – Pressures of gases, Kc – Solutions and concentrations If K > 1, there is more product in the end If K < 1, there is more reactant Equilibrium Conversion from Kc to Kp value: Kp = Kc(RT)Δn Smaller values of Ka and Kb mean weaker acids and bases Ksp indicates how much solid will ionize and solubility of insoluble substances Small Ksp values indicate a precipitate will form Kinetics Kinetics: how fast reactions happen and what affects that rate Rate law: algebraic equation determined by concentrations and their effect on reaction rates Rate is determined by change in concentration over time Instantaneous rate can be determined on a graph Kinetics Collision model: conditions affect rate of collisions (i.e. rate of reaction) Increasing temperature increases rate Higher concentration increases rate Activation energy: energy needed to activate the reaction Kinetics Catalysts lower the required activation energy Catalyzed reactions require less energy and are faster Rates of chemical reactions in the human body use catalysts called enzymes Thermodynamics: Concepts Thermochemistry measures energy changes in chemical reactions Thermodynamics: energy and temperature are related to particle motion System + surroundings = universe State functions: volume, energy content and pressure Thermodynamics: Heat and Reactions Exothermic reactions give off heat Endothermic reactions absorb heat Thermodynamics: First Law Enthalpy: the energy content given off or taken in by a chemical reaction (symbol H) Enthalpy is a state function Directly proportional to the moles of a chemical present Heat of formation: enthalpy change during formation of a compound Measured by calorimetry IRT: Hess’ Law Germain Hess (1802-1850) Heat energy in a chemical reaction is the same no matter the number of steps Unknown enthalpy values can be calculated using other known enthalpy values If ΔH is known for the formation of CO2, and for the oxidation of CO to CO2, then ΔH for the formation of CO can be calculated Thermodynamics: Second Law Entropy: energy associated with disorder State function (symbol S) Smaller values indicate greater order Whether or not a chemical reaction will occur relies on both enthalpy and entropy Gibbs Free Energy (state function, symbol G) ΔG = ΔH – TΔS (T is temperature in Kelvin) Signs of terms determine spontaneity of reactions Relationship of Change in Free Energy to Equilibrium Constants and Electrode Potentials Free energy to equilibrium constants: ΔG˚ = -RTlnK Free energy to cell potential: ΔG˚ = -nFE˚cell ΔG˚ K E˚cell Reaction under standard-state conditions Negative >1 Positive Favors products 0 1 0 Equilibrium Positive <1 Negative Favors reactants Wrap-Up There are several categories of reactions, all of which have different sub-categories (acid-base, precipitation, redox) Studies of electrochemistry (et al) have led to industrial advances Stoichiometry is invaluable to scientific work An understanding of equilibrium, kinetics and thermodynamic is vital to understanding how and why reactions proceed as they do