Chemistry 1A Chapter 2 What I’d be doing if I were you… • Support for this presentation – Read pdf file for Chapter 2 of An Introduction to Chemistry (link on the Chemistry 1A webpage) http://www.preparatorychemistry.com/Bishop_Book_2_eBook.pdf – Read pdf file for Chapter 8 of An Introduction to Chemistry (link on the Chemistry 1A webpage) http://www.preparatorychemistry.com/Bishop_Book_8_eBook.pdf – Or read Chapters 1 and 2 in the text. Group Numbers on the Periodic Table Group Names Alkali Metals Alkaline Earth Metals Halogens Noble Gases Characteristics of Metallic Elements • Metals have a shiny metallic luster. • Metals conduct heat well and conduct electric currents in the solid form. • Metals are malleable. – For example, gold, Au, can be hammered into very thin sheets without breaking. Metals, Nonmetals, and Metalloids Classification of Elements Solid, Liquid, and Gaseous Elements Atoms • Tiny…about 10-10 m – If the atoms in your body were 1 in. in diameter, you’d bump your head on the moon. • Huge number of atoms in even a small sample of an element – 1/2 carat diamond has 5 × 1021 atoms…if lined up, would stretch to the sun. Particles in the Atom • Neutron (n) 0 charge 1.00867 u in nucleus • Proton (p) +1 charge 1.00728 u in nucleus • Electron (e−) −1 charge nucleus 0.000549 u outside Electron Cloud for Hydrogen Atom The Electron “If I seem unusually clear to you, you must have misunderstood what I said.” Alan Greenspan, Head of the Federal Reserve Board “It is probably as meaningless to discuss how much room an electron takes up as to discuss how much room a fear, an anxiety, or an uncertainty takes up.” Sir James Hopwood Jeans, English mathematician, physicist and astronomer (1877-1946) Wave Diffraction Patterns Effect on Chemical Changes • Electrons – Can be gained, lost, or shared…actively participate in chemical changes – Affect other atoms through their -1 charge • Protons – Affect other atoms through their +1 charge – Determine the number of electrons in uncharged atoms • Neutrons – No charge…no effect outside the atom and no direct effect on the number of electrons. Carbon Atom Example Ions Ions • Ions are charged particles due to a loss or gain of electrons. • When particles lose one or more electrons, leaving them with a positive overall charge, they become cations. • When particles gain one or more electrons, leaving them with a negative overall charge, they become anions. Isotopes of Hydrogen Isotopes • Isotopes are atoms with the same atomic number but different mass numbers. • Isotopes are atoms with the same number of protons and electrons in the uncharged atom but different numbers of neutrons. • Isotopes are atoms of the same element with different masses. Tin has ten natural isotopes. Possible Discovery of Elements 113 and 115 • Dubna, Russia • Dubna’s Joint Institute for Nuclear Research and Lawrence Livermore National Laboratory • Bombarded a target enriched in americium, 243Am, with calcium atoms, 48Ca. • From analysis of decay products, they concluded that four atoms of element 115 were created. Elements 113 and 115 • Created 288115, which lasted about 100 milliseconds…a very long time for this large an isotope. • 288115 emitted an α-particle, 4He, to form 284113. • The results need to be confirmed. Why try to make elements that last such a short time? • To support theories of the nature of matter. – The standard model of the nature of matter predicts that elements with roughly 184 neutrons and 114 protons would be fairly stable. (See next slide.) – 288115, which lasted a relatively long time, has 115 protons and 173 neutrons. Band of Stability Why try to make elements that last such a short time? (cont.) • The technology developed to make new elements is also being used for medical purposes. – Heavy-ion therapy as a treatment for inoperable cancers • Beams of carbon atoms shot at tumor. • Heavier particle beam is less likely to scatter. • Releases most of energy at end of path so easier to focus. To Describe Structure of Elements • What particles? – Noble gases – atoms – Other nonmetals - molecules • Diatomic elements – H2, N2, O2, F2, Cl2, Br2, I2 • S8, Se8, P4 • C(diamond) huge molecules – Metallic elements – cations in a sea of electrons To Describe Structure of Elements (2) • Solid, liquid, or gas? – Gases - H2, N2, O2, F2, Cl2, He, Ne, Ar, Kr, and Xe – Liquids – Br2 and Hg – Solids – the rest • Standard description of (1) solid, (2) liquid, (3) gas, or (4) metal. Description of Gas • Particles constantly moving in straightline paths • About 0.1% of volume occupied by particles…99.9% empty. • Average distance between particles is about 10 times their diameter. • No significant attractions or repulsions. • Constant collisions that lead to changes in direction and velocity. • Variable volume and shape, due to lack of attractions and a great freedom of motion. Description of Liquid • Particles constantly moving. • About 70% of volume occupied by particles…30% empty • Attractions are strong but not strong enough to keep particles from moving throughout the liquid. • Constant collisions that lead to changes in direction and velocity. • Constant volume, due to significant attractions between the particles that keeps the particles at a constant average distance, but not constant shape, due to the freedom of motion. Description of Solid • Particles constantly moving. • About 70% of volume occupied by particles…30% empty. • Strong attractions keep particles trapped in cage. • Constant collisions that lead to changes in direction and velocity. • Constant volume and shape due to strong attractions and little freedom of motion. Helium Gas, He Covalent Bond Formation Hydrogen, H2, Molecule Hydrogen Gas, H2 Bromine Liquid Iodine Solid Typical Metallic Solid and Its “Sea of Electrons” Elements and Compounds Values from Measurements • A value is a quantitative description that includes both a unit and a number • For 100 meters, the meter is a unit by which distance is measured, and the 100 is the number of units contained in the measured distance. • Units are quantities defined by standards that people agree to use to compare one event or object to another. Base Units for the International System of Measurement • length meter, m, the distance that light travels in a vacuum in 1/299,792,458 of a second • mass kilogram, kg, the mass of a platinumiridium alloy cylinder in a vault in France • time second, s, the duration of 9,192,631,770 periods of the radiation emitted in a specified transition between energy levels of cesium-133 • temperature kelvin, K, 1/273.16 of the temperature difference between absolute zero and the triple point temperature of water Derived Unit 1 L = 10−3 m3 103 L = 1 m3 Some Base Units and Their Abbreviations for the International System of Measurement Type Length Mass Volume Energy Base Unit meter gram liter joule Abbreviation m g L or l J Metric Prefixes Prefix Abbreviation giga mega kilo centi milli micro nano pico G M k c m μ n p Number 109 or 1,000,000,000 106 or 1,000,000 103 or 1000 10−2 or 0.01 10−3 or 0.001 10−6 or 0.000001 10−9 or 0.000000001 10−12 or 0.000000000001 Length Range of Lengths Volume Range of Volumes Mass and Weight • Mass is usually defined as a measure of the amount of matter in an object. Mass can be defined as the property of matter that leads to gravitational attractions between objects and therefore gives rise to weight. • The weight of an object, on the Earth, is a measure of the force of gravitational attraction between the object and the Earth. • Matter is anything that occupies a volume and has a mass. Comparison of the Mass and Weight of a 65 kg Person On Earth Mass Weight 65 kg 637 N Between Earth and Moon 65 kg ≈0 N On Moon 65 kg 1/6(637 N) = 106 N Mass Range of Masses Celsius and Fahrenheit Temperature Comparing Temperature Scales Precision and Accuracy • Precision describes how closely a series of measurements of the same object resemble each other. The closer the measurements are to each other, the more precise the measurement. The precision of a measurement is not necessarily equal to its accuracy. • Accuracy is a measurement’s relationship to the property’s true value. Precision and Accuracy (cont.) Reporting Values from Measurements • One of the conventions that scientists use for reporting numbers from measurements is to report all of the certain digits and one estimated (and thus uncertain) digit. Graduated Cylinder Graduated Cylinder Accurate to ±0.1 Trailing Zeros Trailing Zeros (2) Digital Readout Report all digits unless otherwise instructed. Digital Readout (2) In many cases, it is best to round the number in the value to fewer decimal positions than displayed. For the mass displayed above, 100.432 g would indicate ±0.001 g. Unit Conversions All science requires mathematics. The knowledge of mathematical things is almost innate in us. . . [Mathematics] is the easiest of sciences, a fact which is obvious in that no one's brain rejects it… Roger Bacon (c. 1214-c. 1294) Stand firm in your refusal to remain conscious during algebra. In real life, I assure you, there is no such thing as algebra. Fran Lebowitz (b. 1951) Unit Analysis Step 1 • Step 1: State your question in an expression that sets the unknown unit equal to the value given. • Start with the same number of units as you want. – If you want a single unit, start with a value that has a single unit. – If you want a ratio of two units, start with a value that has a ratio of two units, or start with a ratio of two values, each of which have one unit. • Put the correct type of unit in the correct position. Unit Analysis Step 2 • Step 2: Multiply the expression to the right of the equals sign by one or more conversion factors that cancel the unwanted units and generate the desired unit. – If you are not certain which conversion factor to use, ask yourself, "What is the fundamental conversion and what conversion factor do I use for that type of conversion?" Unit Analysis Steps 3&4 • Step 3: Check to be sure you used correct conversion factors and that your units cancel to yield the desired unit. • Step 4: Do the calculation, rounding your answer to the correct number of significant figures and combining it with the correct unit. English-Metric Conversion Factors Type of Measurement Probably Most Useful to Know Others Useful to Know Length 2.54 cm 1 in. Mass 453.6 g 1 lb 2.205 lb 1 kg Volume 3.785 L 1 gal 1.057 qt 1L 1.609 km 1 mi 39.37 in. 1m 1.094 yd 1m Rounding Answers from Multiplication and Division Step 1 • Step 1: Determine whether each value is exact, and ignore exact values. – Exact values • Numbers that come from definitions are exact. • Numbers derived from counting are exact. – Do Step 2 for values that are not exact. • Values that come from measurements are never exact. • We will assume that values derived from calculations are not exact unless otherwise indicated. Rounding Answers from Multiplication and Division Step 2 • Step 2: Determine the number of significant figures in each value that is not exact. • All non-zero digits are significant. • Zeros between nonzero digits are significant. • Zeros to the left of nonzero digits are not significant. • Zeros to the right of nonzero digits in numbers that include decimal points are significant. • Zeros to the right of nonzero digits in numbers without decimal points are ambiguous for significant figures. Rounding Answers from Multiplication and Division Step 3 • Step 3: When multiplying and dividing, round your answer off to the same number of significant figures as the value used with the fewest significant figures. • If the digit to the right of the final digit you want to retain is less than 5, round down (the last digit remains the same). • If the digit to the right of the final digit you want to retain is 5 or greater, round up (the last significant digit increases by 1). Density • Mass density is mass divided by volume. It is usually just called density. Density = mass volume • It can be used as a unit analysis conversion factor that converts mass to volume or volume to mass. Percentage and Percentage Calculations • Mass percentages and volume percentage can be used as unit analysis conversion factors to convert between units of the part and units of the whole. For X% by mass X (any mass unit) part 100 (same mass unit) whole For X% by volume X (any volume unit) part 100 (same volume unit) whole Conversion Types Temperature Conversions ⎞ 1.8 °F ⎟ + 32 °F ? °F = --- °C 1 °C ⎟⎠ ⎛ ⎜ ⎜ ⎝ ? °C = --- °F - 32 °F 1 °C 1.8 °F ⎛ ⎜ ⎜ ⎜ ⎝ ⎞ ⎟ ⎟ ⎟ ⎠ ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ ? K = --- °C + 273.15 ? °C = --- K - 273.15 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ Comparing Temperature Scales Rounding Answers from Addition and Subtraction • Step 1: Determine whether each value is exact, and ignore exact values. – Skip exact values. – Do Step 2 for values that are not exact. • Step 2: Determine the number of decimal positions for each value that is not exact. • Step 3: Round your answer to the same number of decimal positions as the inexact value with the fewest decimal places.
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