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Chemistry: The Study of Change Chapter 1 The Study of Chemistry Macroscopic Microscopic 1.2 • Chemistry is the study of matter and the changes it undergoes. • Matter is anything that occupies space and has mass. Water Sugar Gold What about air? Yes it is matter 1.4 MAJOR AREAS OF CHEMISTRY • Organic Chemistry - the study of matter which is carbonbased. • Inorganic Chemistry - the study of matter containing all other elements (Inorganic is everything else). • Analytical Chemistry - analyze matter to determine identity and composition (involves qualitative and quantitative) (eg. Determination of Alcohol in blood) • Biochemistry - the study of life at the molecular level (DNA sequencing) • Physical Chemistry - attempts to explain the way matter behaves (eg. Kinetics) Chemistry Related Other Fields • • • • Medical Science Pharmaceutical Industry Oil Industry Paints and Coatings Chemistry: A Science for the 21st Century • Health and Medicine • Sanitation systems • Surgery with anesthesia • Vaccines and antibiotics •Energy and the Environment • Fossil fuels • Solar energy • Nuclear energy Chemistry: A Science for the 21st Century • Materials and Technology • Polymers, ceramics • Food and Agriculture • Genetically modified crops • Specialized fertilizers An element is a substance that cannot be separated into simpler substances by chemical means (Listed in the Periodic Table) • 114 elements have been identified • 82 elements occur naturally on Earth gold, aluminum, lead, oxygen, carbon • 32 elements have been created by scientists technetium, americium, seaborgium • Metals, nonmetals, metalloids Latin names: aurum (Au), ferrum (Fe),natrium (Na) Classification of Matter 1. Based on Physical State: a. Gas: does not have a fixed shape or a fixed volume. Both the volume & the shape of the gas is that of the container. b. Liquid: Has a fixed volume but variable shape = shape of the container. c. Solid: Has fixed shape and volume The Three States of Matter (water in three forms) gas liquid solid Pure Substances Classification of Pure Substances 1. Elements: These only have 1 type of atoms. 2. Compounds: composed of atoms of two or more elements. eg. H2O chemically united in a fixed proportion – 2 H atoms and 1 O atom. It can be separated only chemically. Ammonia (NH3) – 1N, 3H (combined at high pressure) Elements exist in monoatomic or polyatomic form. For eg., Hydrogen and oxygen exist as H2 and O2 , that is diatomic molecules where as Ca exist as monoatomic. Chemical Symbols: Cobalt – Co, Sodium – Na (natium-Latin) CO is not cobalt, carbon monoxide A mixture is a combination of two or more substances in which the substances retain their distinct identities. 1. Homogenous mixture – composition of the mixture is the same throughout. soft drink, milk, sugar solution 2. Heterogeneous mixture – composition is not uniform throughout. cement, iron filings in sand Physical means can be used to separate a mixture into its pure components. distillation magnet Physical and Chemical Properties • Physical Properties: will keep the identity of the substance. Eg. boiling point (B.P), melting point (M.P), density, mass, volume, area. (water changes the physical state by heating and cooling, not the composition, so the M.P and B.P are physical properties) • Chemical Properties: involves chemical change. eg. rusting, burning of H in O H 2O Needs a chemical change to bring the original substances, not physical like boiling or melting. Extensive and Intensive Properties An extensive property of a material depends upon how much matter is being considered - additive • mass (M) • length • volume (V) An intensive property of a material does not depend upon how much matter is is being considered. e.g., density of water 0.99713g/mL at 25 C • density – M/V • color Hypothesis, Theory, Law • A hypothesis is an educated guess, based on observation. Needs to prove by experiments to be true. • A scientific theory summarizes a hypothesis or group of hypotheses that have been supported with repeated testing. • A law generalizes a body of observations. Eg., Newton's Law of Gravity F = Gm1m2/r2 Classifications of Matter Measurement in Chemistry • In SI units, not in English units. • Meaurement is always necessary to collect data • Mass, volume etc. with proper equipments or glassware • Always use unit. Mass = 5 for a salt is useless. Needs unit like g or kg. – A measurement is useless without its units. – weight – force that gravity exerts on an object International System of Units (SI) Revised Metric System • Truly systematic - 1 meter = 10 decimeters = 100 centimeters Basic Units of the Metric System Mass Length volume gram meter liter g m L Matter - anything that occupies space and has mass. mass – measure of the quantity of matter SI unit of mass is the kilogram (kg) 1 kg = 1000 g = 1 x 103 g In Chemistry, the smaller g is more convenient. weight – force that gravity exerts on an object Volume – SI derived unit for volume is cubic meter (m3) 1 cm3 = (1 x 10-2 m)3 = 1 x 10-6 m3 1 dm3 = (1 x 10-1 m)3 = 1 x 10-3 m3 1 L = 1000 mL = 1000 cm3 = 1 dm3 1 mL = 1 cm3 Density – SI derived unit for density is kg/m3 1 g/cm3 = 1 g/mL = 1000 kg/m3 Chemical Application: g/cm3 or g/mL mass m density = d= V volume A piece of platinum metal with a density of 21.5 g/cm3 has a volume of 4.49 cm3. What is its mass? m d= V m = d x V = 21.5 g/cm3 x 4.49 cm3 = 96.5 g Derived Units in SI Area: (length x width); unit = m x m = m2 Volume: length x width x height; unit = m x m x m = m3 Density: mass/volume; unit = kg/m3 Speed: distance/time; unit = m/s Acceleration: speed/time; unit = m/s/s = m/s2 Force: mass x acceleration; unit = kg m/s2 = N (newton) Energy: force x distance; unit = kg m/s2 x m = kg m2/s2 = J (joule) 8. Pressure: force/Area; unit = kg m/s2 ÷ m2 = kg/ms2 = Pa (Pascal) 1. 2. 3. 4. 5. 6. 7. K = 0C + 273.15 273 K = 0 0C 373 K = 100 0C 0F = 9 x 0C + 32 5 32 0F = 0 0C 212 0F = 100 0C Conversions between Fahrenheit and Celsius o o o F - 32 C 1.8 F 1.8 ( C) 32 o 1. Convert 75oC to oF. 2. Convert -10oF to oC. 1. Ans. 167 oF 2. Ans. -23oC Convert 172.9 0F to degrees Celsius. 9 = x 0C + 32 5 0F – 32 = 9 x 0C 5 0F 5 x (0F – 32) = 0C 9 0C = 5 x (0F – 32) 9 0C = 5 x (172.9 – 32) = 78.3 9 Chemistry In Action On 9/23/99, $125,000,000 Mars Climate Orbiter entered Mar’s atmosphere 100 km (62 miles) lower than planned and was destroyed by heat (read p.17, ch.1) 1 lb = 1 N 1 lb = 4.45 N F=ma=4.45Newton “This is going to be the cautionary tale that will be embedded into introduction to the metric system in elementary school, high school, and college science courses till the end of time.” Scientific Notation N x 10n The number of atoms in 12 g of carbon: 602,200,000,000,000,000,000,000 6.022 x 1023 The mass of a single carbon atom in grams: 0.0000000000000000000000199 1.99 x 10-23 N x 10n N is a number between 1 and 10 n is a positive or negative integer Scientific Notation 568.762 0.00000772 move decimal left move decimal right n>0 n<0 568.762 = 5.68762 x 102 0.00000772 = 7.72 x 10-6 Addition or Subtraction 1. Write each quantity with the same exponent n 2. Combine N1 and N2 3. The exponent, n, remains the same 4.31 x 104 + 3.9 x 103 = 4.31 x 104 + 0.39 x 104 = 4.70 x 104 Scientific Notation Multiplication 1. Multiply N1 and N2 2. Add exponents n1 and n2 Division 1. Divide N1 and N2 2. Subtract exponents n1 and n2 (4.0 x 10-5) x (7.0 x 103) = (4.0 x 7.0) x (10-5+3) = 28 x 10-2 = 2.8 x 10-1 8.5 x 104 ÷ 5.0 x 109 = (8.5 ÷ 5.0) x 104-9 = 1.7 x 10-5 Scientific Notation • The measuring device determines the number of significant figures a measurement has. • In this section you will learn – to determine the correct number of significant figures (sig figs) to record in a measurement – to count the number of sig figs in a recorded value – to determine the number of sig figs that should be retained in a calculation. Significant Figures Figure TA 1.2 Significant figures - all digits in a number representing data or results that are known with certainty plus one uncertain digit. Copyr ight © 2001 T he McGr aw- Hill Companies, Inc. Permission required for reproduction or display. Significant Figures • Any digit that is not zero is significant 1.234 kg 4 significant figures • Zeros between nonzero digits are significant 606 m 3 significant figures • Zeros to the left of the first nonzero digit are not significant 0.08 L 1 significant figure • If a number is greater than 1, then all zeros to the right of the decimal point are significant 2.0 mg 2 significant figures • If a number is less than 1, then only the zeros that are at the end and in the middle of the number are significant 0.00420 g 3 significant figures How many significant figures are in each of the following measurements? 24 mL 2 significant figures 3001 g 4 significant figures 0.0320 m3 3 significant figures 6.4 x 104 molecules 2 significant figures 560 kg (5.6 x 102 ) 2 significant figures Significant Figures Addition or Subtraction The answer cannot have more digits to the right of the decimal point than any of the original numbers. 89.332 +1.1 90.432 3.70 -2.9133 0.7867 one digit after decimal point round off to 90.4 two digit after decimal point round off to 0.79 Scientific Notation 568.762 0.00000772 move decimal left move decimal right n>0 n<0 568.762 = 5.68762 x 102 0.00000772 = 7.72 x 10-6 Addition or Subtraction 1. Write each quantity with the same exponent n 2. Combine N1 and N2 3. The exponent, n, remains the same 4.31 x 104 + 3.9 x 103 = 4.31 x 104 + 0.39 x 104 = 4.70 x 104 1.8 Significant Figures Multiplication or Division The number of significant figures in the result is set by the original number that has the smallest number of significant figures 4.51 x 3.6666 = 16.536366 = 16.5 3 sig figs round to 3 sig figs 6.8 ÷ 112.04 = 0.0606926 = 0.061 2 sig figs round to 2 sig figs Significant Figures Numbers from definitions or numbers of objects are considered to have an infinite number of significant figures The average of three measured lengths; 6.64, 6.68 and 6.70? 6.64 + 6.68 + 6.70 = 6.67333 = 6.67 = 7 3 Accuracy – how close a measurement is to the true value Precision – how close a set of measurements are to each other accurate & precise precise but not accurate not accurate & not precise UNIT CONVERSION • You need to be able to convert between units - within the metric system - between the English and metric system • The method used for conversion is called the FactorLabel Method or Dimensional Analysis ALWAYS NEEDED Dimensional Analysis Method of Solving Problems 1. Determine which unit conversion factor(s) are needed 2. Carry units through calculation 3. If all units cancel except for the desired unit(s), then the problem was solved correctly. given quantity x conversion factor = desired quantity given unit x desired unit given unit = desired unit • We use these two mathematical facts to do the factor label method – a number divided by itself = 1 – Example: 2/2 = 1 – any number times one gives that number back – Example: 2 x 1 = 2 • Example: How many donuts are in 3.5 dozen? • You can probably do this in your head but let’s see how to do it using the Factor-Label Method. Start with the given information... 3.5 dozen 12 donuts 1 dozen = 42 donuts Then set up your unit factor... See that the units cancel... Then multiply and divide all numbers... Dimensional Analysis Method of Solving Problems How many mL are in 1.63 L? Conversion Unit 1 L = 1000 mL 1000 mL 1.63 L x = 1630 mL 1L 2 1L L 1.63 L x = 0.001630 1000 mL mL The speed of sound in air is about 343 m/s. What is this speed in miles per hour? conversion units meters to miles seconds to hours 1 mi = 1609 m 1 min = 60 s 1 mi 60 s m x x 343 s 1609 m 1 min 1 hour = 60 min 60 min mi x = 767 hour 1 hour Common Relationships Used in the English System A. Weight 1 pound = 16 ounces 1 ton = 2000 pounds 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5280 feet 1 gallon = 4 quarts 1 quart = 2 pints 1 quart = 32 fluid ounces B. Length C. Volume Commonly Used “Bridging” Units for Intersystem conversion Quantity Mass Length Volume English 1 pound 2.2 pounds 1 inch = 1 yard 1 quart 1 gallon Metric = 454 grams = 1 kilogram 2.54 centimeters = 0.91 meter = 0.946 liter = 3.78 liters 1.3 Measurement in Chemistry 1. Convert 5.5 inches to millimeters (139.7 mm) 2. Convert 50.0 milliliters to pints (0.1057 pint) 3. Convert 1.8 in2 to cm2 (11.613 cm2) 1.7 Derived Units • The density of an object is its mass per unit volume, m d V where d is the density, m is the mass, and V is the volume. Generally the unit of mass is the gram. The unit of volume is the mL for liquids; cm3 for solids; and L for gases. A Density Example • A sample of the mineral galena (lead sulfide) weighs 12.4 g and has a volume of 1.64 cm3. What is the density of galena? A Density Example • A sample of the mineral galena (lead sulfide) weighs 12.4 g and has a volume of 1.64 cm3. What is the density of galena? mass Density = volume A Density Example • A sample of the mineral galena (lead sulfide) weighs 12.4 g and has a volume of 1.64 cm3. What is the density of galena? mass 12.4 g Density = = volume 1.64 cm3 A Density Example • A sample of the mineral galena (lead sulfide) weighs 12.4 g and has a volume of 1.64 cm3. What is the density of galena? mass 12.4 g 3 Density = = = 7.5609 = 7.56 g/cm volume 1.64 cm3 cork water brass nut liquid mercury What is the density of a sample of bone with mass of 12.0 grams and volume of 5.9 cm3? A sinker of lead has a volume of 0.25 cm3. Calculate the mass in grams. The density of lead is 11.3 g/cm3. What is the volume of air in liters (density = 0.00129 g/mL) occupied by 1.0 grams. WORKED EXAMPLES Worked Example 1.1 Worked Example 1.2 Worked Example 1.4 Homework Problems 1.9,1.11,1.12,1.14,1.15,1.16,1.18,1.21,1.22,1.23, 1.29,1.33,1.38,1.39,1.40,1.51,1.52,1.64,1.74, 1.80