Atoms: The Building Blocks of Matter 3 Foundational Laws of Chemistry Law of conservation of mass States that mass is neither created nor destroyed during ordinary chemical reactions or physical changes 3 Foundational Laws of Chemistry Law of definite proportions States that a chemical compound contains the same elements in exactly the same proportions by mass regardless of the size of the sample or source of the compound 3 Foundational Laws of Chemistry Law of multiple proportions States that if two or more different compounds are composed of the same two elements, then the ratio of the masses of the second element combined with a certain mass of the first element is always a ration of small whole numbers. The Size of an Atom Just How Small Is An Atom Democritus Evolution of the Atomic Model • Greek philosopher • First to propose that matter is made up of tiny particles, which he termed atomos • Believed atoms could not be created or destroyed Dalton • Ideas led to the development of the modern atomic theory • His theory has since been revised based on current research and understanding of the atom Evolution of the Atomic Model Thomson • His experiments with cathode-ray tubes led to the discovery of the first subatomic particle—the electron • Proposed a new model of the atom, known as the Plum Pudding Model, that suggested electrons resided in area of positive charge Rutherford • His experiment with alpha particles and gold foil led to the discovery of the positively charged atomic nucleus • Proposed a new model of the atom where the atom is composed of a dense positively charged nucleus surrounded by electrons Evolution of the Atomic Model Bohr • Developed a new atomic model debunking Rutherford, which proposed that electrons were arranged in concentric circles around the nucleus and that these paths had fixed energies (energy levels) Millikan • His experiment with an oil drop apparatus led to discovery/determination of the quantity of charge carried by an electron Evolution of the Atomic Model Chadwick • His experiments led to the discovery of the neutron Schrödinger • His wave equation provided a theoretical explanation of electron in atoms—which estimates the probality of finding an electron in a certain position (unlike Bohr which defines electrons to exact pathways) Dalton’s Atomic Theory All matter is composed of extremely small particles Atoms of a given element are identical in size, mass, and other properties; atoms of different elements differ in size, mass, and other properties Atoms cannot be subdivided, created or destroyed Atoms of different elements combine in simple wholenumber ratios to form chemical compounds. In chemical reaction, atoms are combined, separated or rearranged Discovery of the Electron Discovery of the Electron Discovery of the Atomic Nucleus Discovery of the Atomic Nucleus Properties of Subatomic Particles Particle Symbols Relative Electric Charge Mass Number Relative Mass Actual mass Electron e- -1 0 0.000 5486 9.109 X 10-31 Proton p+ +1 1 1.007 276 1.673 X 10-27 Neutron no 0 1 1.008 665 1.675 X 10-27 Counting Atoms Atomic number— Of an element tells the number of protons of each atom of the element and is represented by Z Composition of the Atomic Nucleus All atomic nuclei are made of two kinds of particles: • protons •neutrons Atomic number The number of protons in the nucleus of each atom of that element. The protons NEVER change and ALWAYS identify the element Look at the periodic table Ag silver atoms contain 47 protons In a neutral atom: number of electrons = number of protons Quick Review Atoms are made up of three particles: Protons Neutrons Electrons Question: Which of the three particles identifies what element an atom is? The PROTON! (very important) Different Forms of the Same Element In any element, the # of protons is always constant. Unlike the number of protons, the number of electrons and neutrons can vary within an element without changing the identity of the element. Ex. Carbon (C) ALWAYS has 6 protons, but it can have anywhere from 6-8 neutrons and 2-10 electrons Isotopes An ISOTOPE is a form of an element that has a different number of neutrons than “normal” Carbon has three isotopes Notice how the # of protons does NOT change! Other Isotopes Most atoms have naturally occurring isotopes including: • • • Radon Potassium Uranium When an element is “radioactive” it means it has an unstable number of neutrons (an unstable ISOTOPE) Designating Isotopes Hyphen notation name of element – mass number Hydrogen – 3 Nuclear symbol mass number atomic number 20 IONS An atom usually has a neutral charge. That means it has the same number of protons as electrons • Remember, a proton has a positive charge and an electron has a negative charge ION – an atom that has lost or gained one or more electrons and has become charged either positively or negatively Positive Ions When an atom LOSES electrons, it becomes more POSITIVE • Why? If you are getting rid of negative particles (electrons) but your number of positive particles (protons) are staying the same. • In other words, you are subtracting negative numbers Examples What would the charge be if: The neutral form of Gold (Au) lost 4 of its 79 electrons. It now has 79 protons and 75 electrons The neutral form of Mg lost 2 of its 12 electrons. It now has 12 protons and 10 electrons. Negative Ions When an atom GAINS electrons it becomes more NEGATIVE Why? Electrons have a negative charge, so the more you have, the more negative you become Representing Ions Ions are represented by placing a “superscript” charge number next to the atomic symbol. Ex. • • • • O-2 = oxygen with a negative 2 charge K+ = potassium with a positive 1 charge N-3 = nitrogen with a negative 3 charge And so on Periodic Table The elements, as they are found on the periodic table, are neutral atoms and their mass is an average of all isotopes • Remember the atomic mass is the average of ALL isotopes, but when we round it for calculating the number of neutrons, we always get the most abundant isotope. Examples Examples How many P’s, N’s, and E’s does each of the following have? Label each as an isotope, ion, or the version found on the P.T. HONORS CHEM ONLY Relative Atomic Mass One atom, carbon-12, is set as a standard All masses are expressed in relation to this standard 1 atomic mass unit = 1/12 the mass of a carbon-12 atom Chapter 3 Section 3 Counting Atoms pages 7787 29 HONORS CHEM ONLY Relative Atomic Mass Examples • Hydrogen – 1 = 1.007825 amu • Oxygen – 16 = 15.994915 amu • Magnesium – 24 = 23.985042 amu p+ = 1.007276 amu, n0 = 1.008665 amu, e- = 0.0005486 amu Relative mass and mass number are close in value but not the same 30 HONORS CHEM ONLY Average Atomic Mass The weighted average of the atomic masses of the naturally occurring isotopes of an element Example • Copper Cu-63: .6915 x 62.93 amu = 43.52 Cu-65: .3085 x 64.93 amu = 20.03 63.55 amu Chapter 3 Section 3 Counting Atoms pages 7787 31 HONORS CHEM ONLY Average Atomic Mass The weighted average of the atomic masses of the naturally occurring isotopes of an element— expressed in amu (atomic mass units) Example HONORS CHEM ONLY Average Atomic Mass Isotope Atomic Mass (amu) Carbon-12 12 (by definition) Percentage natural abundance 98.93 Carbon-13 13.003355 1.07 Calculate carbon’s average atomic mass HONORS CHEM ONLY Average Atomic Mass Isotope Atomic Mass Percentage Natural Abundance Oxygen-16 15.994915 99.757 Oxygen-17 16.999132 0.038 Oxygen-18 17.99160 0.205 Calculate oxygen’s average atomic mass The Mole A counting unit Similar to a dozen, except instead of 12, it’s 602 billion trillion 602,000,000,000,000,000,000,000 • 6.02 X 1023 (in scientific notation) • This number is named in honor of Amedeo Avogadro (1776 – 1856), who studied quantities of gases and discovered that no matter what the gas was, there were the same number of molecules present Just How Big is a Mole? Enough soft drink cans to cover the surface of the earth to a depth of over 200 miles. If you had Avogadro's number of unpopped popcorn kernels, and spread them across the United States of America, the country would be covered in popcorn to a depth of over 9 miles. If we were able to count atoms at the rate of 10 million per second, it would take about 2 billion years to count the atoms in one mole. Everybody Has Avogadro’s Number! But Where Did it Come From? It was NOT just picked! It was MEASURED. One of the better methods of measuring this number was the Millikan Oil Drop Experiment Since then we have found even better ways of measuring using x-ray technology Learning Check Suppose we invented a new collection unit called a rapp. One rapp contains 8 objects. 1. How many paper clips in 1 rapp? a) 1 b) 4 c) 8 2. How many oranges in 2.0 rapp? a) 4 b) 8 c) 16 3. How many rapps contain 40 gummy bears? a) 5 b) 10 c) 20 The Mole • 1 dozen cookies = 12 cookies • 1 mole of cookies = 6.02 X 1023 cookies • 1 dozen cars = 12 cars • 1 mole of cars = 6.02 X 1023 cars • 1 dozen Al atoms = 12 Al atoms • 1 mole of Al atoms = 6.02 X 1023 atoms Note that the NUMBER is always the same, but the MASS is very different! Mole is abbreviated mol (gee, that’s a lot quicker to write, huh?) A Mole of Particles Contains 6.02 x 1023 particles 1 mole C = 6.02 x 1023 C atoms 1 mole H2O = 6.02 x 1023 H2O molecules 1 mole NaCl = 6.02 x 1023 NaCl “molecules” (technically, ionics are compounds not molecules so they are called formula units) 6.02 x 1023 Na+ ions and 6.02 x 1023 Cl– ions Avogadro’s Number as Conversion Factor 6.02 x 1023 particles 1 mole or 1 mole 6.02 x 1023 particles Note that a particle could be an atom OR a molecule! Learning Check 1. Number of atoms in 0.500 mole of Al a) 500 Al atoms b) 6.02 x 1023 Al atoms c) 3.01 x 1023 Al atoms 2.Number of moles of S in 1.8 x 1024 S atoms a) 1.0 mole S atoms b) 3.0 mole S atoms c) 1.1 x 1048 mole S atoms Molar Mass • The Mass of 1 mole (in grams) • Equal to the numerical value of the average atomic mass (get from periodic table) 1 mole of C atoms = 12.0 g 1 mole of Mg atoms = 24.3 g 1 mole of Cu atoms = 63.5 g Other Names Related to Molar Mass • Molecular Mass/Molecular Weight: If you have a single molecule, mass is measured in amu’s instead of grams. But, the molecular mass/weight is the same numerical value as 1 mole of molecules. Only the units are different. (This is the beauty of Avogadro’s Number!) • Formula Mass/Formula Weight: Same goes for compounds. But again, the numerical value is the same. Only the units are different. • THE POINT: You may hear all of these terms which mean the SAME NUMBER… just different units Learning Check! Find the molar mass (usually we round to the tenths place) A. 1 mole of Br atoms = 79.9 g/mole B. 1 mole of Sn atoms = 118.7 g/mole Molar Mass of Molecules and Compounds Mass in grams of 1 mole equal numerically to the sum of the atomic masses 1 mole of CaCl2 = 111.1 g/mol 1 mole Ca x 40.1 g/mol + 2 moles Cl x 35.5 g/mol = 111.1 g/mol CaCl2 Learning Check! A. Molar Mass of K2O = ? Grams/mole A. Molar Mass of K2O = ? Grams/mole = 39 (2) + 16 = 94 g/mol Molar Mass of Rolaids antacid Al(OH)3 = ? Grams/mole Molar Mass of Rolaids Al(OH)3 = ? Grams/mole 27 + (17) x 3 = 78 g/mol Molar Conversions Calculations with Molar Mass molar mass Grams Moles Converting Moles and Grams Aluminum is often used for the structure of light-weight bicycle frames. How many grams of Al are in 3.00 moles of Al? 3.00 moles Al ? g Al 1. Molar mass of Al 1 mole Al = 27.0 g Al 2. Conversion factors for Al 27.0g Al or 1 mol Al 1 mol Al 27.0 g Al 3. Setup 3.00 moles Al x 27.0 g Al 1 mole Al Answer = 81.0 g Al Learning Check! The artificial sweetener aspartame (NutraSweet) formula C14H18N2O5 is used to sweeten diet foods, coffee and soft drinks. How many moles of aspartame are present in 225 g of aspartame? (12x14)+(1x18)+(14x2)+(16x5) = 312 g/mole 225 g Asp. X 1 mole = .721 moles Aspertame 312 g Atoms/Molecules and Grams Since 6.02 X 1023 particles = 1 mole AND 1 mole = molar mass (grams) You can convert atoms/molecules to moles and then moles to grams! (Two step process) You can’t go directly from atoms to grams!!!! You MUST go thru MOLES. That’s like asking 2 dozen cookies weigh how many ounces if 1 cookie weighs 4 oz? You have to convert to dozen first! Calculations molar mass Grams Avogadro’s number Moles particles Everything must go through Moles!!! Atoms/Molecules and Grams How many atoms of Cu are present in 35.4 g of Cu? 35.4 g Cu 1 mol Cu 63.5 g Cu 6.02 X 1023 atoms Cu 1 mol Cu = 3.4 X 1023 atoms Cu Learning Check! How many atoms of K are present in 78.4 g of K? Conversions Image p. 84 Chapter 3 Section 3 Counting Atoms pages 7787 60