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Chemistry is the study of matter and the transformations it can undergo… Evaluation The Six Levels of Thought Synthesis “Success is a journey, not a destination.” -Ben Sweetland Analysis Application Comprehension Knowledge “Successful students make mistakes, but they don’t quit. They learn from them.” -Ralph Burns “Success consist of a series of little daily efforts.” -Marie McCuillough Basic Safety Rules Use common sense. No unauthorized experiments. No horseplay. Handle chemicals/glassware with respect. Safety Features of the Lab safety shower fire blanket fire extinguisher eye wash fume hood circuit breaker switch Government Regulation worker OSHA environment EPA The government regulates chemicals to protect the… FDA USDA FAA CPSC consumer Chemical Exposure acute exposure a one-time exposure causes damage chronic exposure damage occurs after repeated exposure Toxicity Which is more toxic? Chemical A: LD50 = 3.2 mg/kg Chemical B: LD50 = 48 mg/kg Chemical A is more toxic because less of it proves fatal to half of a given population. The Functions of Science pure science applied science the search for knowledge; facts using knowledge in a practical way ? Pure Science The search for facts about the natural world. - In science, we often try to establish a cause-effect relationship. - Driven by curiosity: the need to know, explore, conquer something new. Fundamental Properties of Models A model does not equal reality. Models are oversimplifications, and are therefore often wrong. Models become more complicated as they age. We must understand the underlying assumptions in a model so that we don’t misuse it. Using the scientific method requires that one be a good observer. observation uses the five senses inference involves a judgment or assumption Data Observations are also called data. There are two types of data. qualitative data quantitative data descriptions; no numbers measurements; must have numbers and UNITS Parts of the Scientific Method • Identify an unknown. • Make a hypothesis (a testable prediction). • Experiment to test the hypothesis. • Draw a valid conclusion. A Scientific Experiment procedure the order of events in an experiment; the “recipe” variable any factor that could influence the result Experiments must be controlled; they must have two set-ups that must differ by only one variable. The conclusion must be based on the data. Scientific Method • • • • Observations Hypothesis Experimentation – Controlled (one variable changed at a time) – Collect data (quantitative and qualitative) – Analyze data (graph, statistics…trends) Form valid conclusion. • After many experiments…form a theory. Fundamental Properties of Models A model does not equal reality. Models are oversimplifications, and are therefore often wrong. Models become more complicated as they age. We must understand the underlying assumptions in a model so that we don’t misuse it. Scientific Law vs. Scientific Theory A law states what happens. Law of Gravity A theory tries to explain why or how something happens. Theory of Gravity Atomic Theory Collision Theory of Reactions Experiments • Law – A verbal or mathematical description of a phenomenon that allows for general predictions – Describes what happens and not why – Unlikely to change greatly over time unless a major experimental error is discovered • Theory – Attempts to explain why nature behaves as it does – Is incomplete and imperfect, evolving with time to explain new facts as they are discovered Copyright 2007 Pearson Benjamin Cummings. All rights reserved. Make observation Scientific Method Ask question Develop hypothesis Test hypothesis with further experiments Test hypothesis with an experiment Revise hypothesis Analyze data and draw conclusions Hypothesis IS supported Wysession, Frank, Yancopoulos, Physical Science Concepts in Action, 2004, page 8 Hypothesis is NOT supported Develop theory First Question What does the scientist want to learn more about? Then Research Scientific Method Gathering of information Next An Overview Hypothesis An “Educated” guess of an answer to the question Then Procedure/ Method Written and carefully followed step-by-step experiment designed to test the hypothesis Next Data And Observations Information collected during the experiment And Written description of what was noticed during the experiment Finally Conclusion Was the hypothesis correct or incorrect? Phlogiston Theory Phlogiston theory of burning (a) When an object burns it gives off a substance called phlogiston. (b) When the space surrounding the burning object is filled with phlogiston, the object will no longer be able to burn. Dorin, Demmin, Gabel, Chemistry The Study of Matter , 3rd Edition, 1990, page 4 (a) (b) phlogiston phlogiston Combustion Theory Modern theory of burning (c) When an object burns, it uses up a substance (oxygen) in the surrounding space. (d) When the space surrounding the burning object has too little oxygen in it, the object will no longer be able to burn. Dorin, Demmin, Gabel, Chemistry The Study of Matter , 3rd Edition, 1990, page 4 Antoine Lavoiser (c) (d) oxygen Phlogiston Theory of Burning 1. Flammable materials contain phlogiston. 2. During burning, phlogiston is released into the air. 3. Burning stops when… …object is out of phlogiston, or …the surrounding air contains too much phlogiston. Laboratory Equipment Zinc Pennies Copper was used to make bullet shells in WW II. By 1943, the supply of copper metal was in short supply. The US government did not want to ‘waste’ copper on making pennies. Before 1982, all pennies were solid copper (except 1943). A shortage of copper drove the price of copper up in the early 1980s. If melted down, the copper could be sold for more than one cent. Pennies were made with steel metal. They looked silver. After 1982, pennies were made from zinc. A thin coating of copper was pressed on the zinc. transmutation changing one substance into another Philosopher’s Stone COPPER GOLD In ordinary chemical reactions, we cannot transmute elements into different elements. Areas of Chemistry organic the study of carboncontaining compounds inorganic everything except carbon e.g., compounds containing metals physical measuring physical properties of substances e.g., the melting point of gold biochemistry the chemistry of living things Government Regulation of Chemicals …to protect the… environment EPA consumer Consumer Product Safety Commission, USDA, BATF, FDA worker OSHA Measurements science is based Numbers mathematics is on measurements based on numbers all measurements have: - magnitude - uncertainty - units exact numbers are obtained by: - counting - definition Graphs • Line Graph – Used to show trends or continuous change • Bar Graph – Used to display information collected by counting • Pie Graph – Used to show how some fixed quantity is broken down into parts Convert 41.2 cm2 to m2. ( ) 1m X m2 = 41.2 cm2 ______ = 0.412 m2 WRONG! 100 cm = 0.412 cm.m Recall that… 41.2 cm2 = 41.2 cm.cm X m2 = 41.2 cm.cm ( )( ) 1m ______ 1m ______ 100 cm 100 cm = 0.00412 m2 X m2 = 41.2 cm2 ( ) 1m ______ 100 cm 2 = 0.00412 m2 Convert 41.2 cm2 to mm2. Recall that… 41.2 cm2 = 41.2 cm.cm ( X mm2 = 41.2 cm.cm 10 mm _____ 1 cm )( 1 cm = 4,120 mm2 10 mm _____ ) = 4,120 mm2 ( mm _____ X mm2 = 41.2 cm2 10 1 cm 2 ) Measured dimensions of a rectangular solid: Length = 15.2 cm Width = 3.7 cm Height = 8.6 cm H W Find volume of solid. L V=L.W.H = (15.2 cm)(3.7 cm)(8.6 cm) 3 = 480 cm Convert to m3. cm.cm.cm ( )( 1m X m3 = 480 cm32 _____ 100 cm 1m _____ )( 100 cm ) 1m _____ = 100 cm or 3 ( ) ( 3 1m X m3 = 480 cm3 _____ 100 cm 0.000480 m3 = or X m3 = 480 cm3 ) 1m _________ 4.80 x 10-4 m3 = 1000000 cm3 Convert to m3... Measured dimensions of a rectangular solid: Length = 15.2 cm 0.152 m Width = 3.7 cm 0.037 m Height = 8.6 cm 0.086 m H Find volume of solid. W L V=L.W.H = (0.152 m)(0.037 m)(0.086 m) = 0.000480 m3 Convert to mm3. 7.5 x 10-6 - 8.7 x 10-4 = -6.525 x 10-9 report -6.5 x 10-9 (2 sig. figs.) 4.35 x 106 1.23 x 10-3 = 5.3505 x 103 or 5350.5 report 5.35 x 103 (3 sig. figs.) 5.76 x 10-16 9.86 x 10-4 = 5.84178499 x 10-13 report 5.84 x 10-13 (3 sig. figs.) 8.8 x 10 3.3 x 10 11 11 = 2.904 x 1023 report 2.9 x 1023 (2 sig. figs.) 6.022 x 1023 - 5.1 x 10-8 = -3.07122 x 1016 report -3.1 x 1016 (2 sig. figs.) Rule for Multiplication Calculating with Numbers Written in Scientific Notation When multiplying numbers in scientific notation, multiply the first factors and add the exponents. Sample Problem: Multiply 3.2 x 10-7 by 2.1 x 105 (3.2) x (2.1) = 6.72 6.72 x 10-2 (-7) + (5) = -2 or 10-2 Exercise: Multiply 14.6 x 107 by 1.5 x 104 2.19 x 1012 Rule for Division Calculating with Numbers Written in Scientific Notation When dividing numbers in scientific notation, divide the first factor in the numerator by the first factor in the denominator. Then subtract the exponent in the denominator from the exponent in the numerator. Sample Problem: Divide 6.4 x 106 by 1.7 x 102 . (6.4) . (1.7) = 3.76 3.76 x 104 (6) - (2) = 4 or 104 Exercise: Divide 2.4 x 10-7 by 3.1 x 1014 7.74 x 10-22 Rule for Addition and Subtraction Calculating with Numbers Written in Scientific Notation In order to add or subtract numbers written in scientific notation, you must express them with the same power of 10. Sample Problem: Add 5.8 x 103 and 2.16 x 104 27.4 x 103 2.74 x 104 Exercise: Add 8.32 x 10-7 and 1.2 x 10-5 1.28 x 10-5 (5.8 x 103) + (21.6 x 103) = Using Scientific Notation for Expressing the Correct Number of Significant Figures Measurement Number of significant figures it contains 25 g 2 0.030 kg 2 1.240560 x 106 mg 7 6 x 104 sec 1 246.31 g 5 20.06 cm 4 1.050 m 4 Measurement Number of significant figures it contains 0.12 kg 2 1240560. cm 7 6000000 kg 1 6.00 x 106 kg 3 409 cm 3 29.200 cm 5 0.02500 g 4 chemical reaction a rearrangement of atoms such that “what you end up with” products differs from “what you started with” reactants Combustion of a Hydrocarbon carbon methane + oxygen + water dioxide CH4(g) + 2 O2(g) CO2(g) + 2 H2O(g) sodium + water hydrogen + sodium hydroxide 2 Na(s) + 2 H2O(l) H2(g) + 2 NaOH(aq) Synthesis taking small molecules and putting them together, usually in many steps, to make something more complex Sunlight Carbon Dioxide Water Oxygen Glucose Photosynthesis CO2 + H2O O2 + C6H12O6 The International System of Units Quantity Name Length Mass Time Amount of substance Thermodynamic temperature Electric current Luminous intensity meter kilogram second mole Kelvin amperes candela Dorin, Demmin, Gabel, Chemistry The Study of Matter , 3rd Edition, 1990, page 16 Symbol m kg s mol K amps cd Derived Units Commonly Used in Chemistry Quantity Area Volume Force Pressure Energy Power Voltage Frequency Electric charge Name square meter cubic meter newton pascal joule watt volt hertz coulomb Symbol m2 m3 N Pa J W V Hz C Area and Volume: Derived Units Area = length x width = 5.0 m x 3.0 m = 15 ( m x m) = 15 m2 Volume = length x width x height = 5.0 m x 3.0 m x 4.0 m = 60 ( m x m x m) = 60 m3 Prefixes in the SI System The Commonly Used Prefixes in the SI System Prefix Symbol Meaning Power of 10 for Scientific Notation _______________________________________________________________________ 1,000,000 106 1,000 103 mega- M kilo- k deci- d 0.1 10-1 centi- c 0.01 10-2 milli- m 0.001 10-3 micro- m 0.000001 10-6 nano- n 0.000000001 10-9 Zumdahl, Zumdahl, DeCoste, World of Chemistry 2002, page 118 1024 g 1021 g Quantities of Mass 1018 g 1015 g 1012 g Giga- 109 g Mega- 106 g Kilo- 103 g base 100 g milli- 10-3 g micro- 10-6 g nano- 10-9 g pico- 10-12 g femto- 10-15 g atomo- 10-18 g Ocean liner Indian elephant Average human 1.0 liter of water Grain of table salt 10-21 g 10-24 g Kelter, Carr, Scott, Chemistry A Wolrd of Choices 1999, page 25 Earth’s atmosphere to 2500 km Typical protein Uranium atom Water molecule SI-US Conversion Factors Relationship Conversion Factors Length 2.54 cm = 1 in. 2.54 cm 1 in and 1 m = 39.4 in. 39.4 in 1m and 946 mL = 1 qt 946 mL 1 qt and 1 qt 946 mL 1 L = 1.06 qt 1.06 qt 1L and 1L 1.06 qt and 1 lb 454 g and 1 kg 2.20 lb 1 in 2.54 cm 1m 39.4 in. Volume Mass 454 g = 1 lb 1 kg = 2.20 lb 454 g 1 lb 2.20 lb 1 kg Accuracy vs. Precision Good accuracy Good precision Poor accuracy Good precision Poor accuracy Poor precision Systematic errors: reduce accuracy (instrument) Random errors: reduce precision (person) Precision Accuracy reproducibility correctness check by repeating measurements check by using a different method poor precision results from poor technique poor accuracy results from procedural or equipment flaws. Errors Systematic Errors in a single direction (high or low) Can be corrected by proper calibration or running controls and blanks. Random Errors in any direction. Can’t be corrected. Can only be accounted for by using statistics. Accuracy Precision Resolution time offset [arbitrary units] 3 not accurate, not precise accurate, not precise not accurate, precise accurate and precise accurate, low resolution 2 1 0 -1 -2 -3 subsequent samples SI Prefixes kilodecicentimilli- 1000 1/ 10 1/ 100 1/ 1000 Also know… 1 mL = 1 cm3 and 1 L = 1 dm3 SI System for Measuring Length The SI Units for Measuring Length Unit Symbol Meter Equivalent _______________________________________________________________________ 1,000 m or 103 m kilometer km meter m 1 decimeter dm 0.1 m or 10-1 m centimeter cm 0.01 m or 10-2 m millimeter mm 0.001 m or 10-3 m micrometer mm 0.000001 m or 10-6 m nanometer nm 0.000000001 m or 10-9 m Zumdahl, Zumdahl, DeCoste, World of Chemistry 2002, page 118 m or 100 m Practice Measuring Timberlake, Chemistry 7th Edition, page 7 0 cm 1 2 3 4 5 4.5 cm 0 cm 1 2 3 4 5 4.54 cm 0 cm 1 2 3 4 5 3.0 cm Implied Range of Uncertainty 3 4 5 6 Implied range of uncertainty in a measurement reported as 5 cm. 3 4 5 6 Implied range of uncertainty in a measurement reported as 5.0 cm. 3 4 5 6 Implied range of uncertainty in a measurement reported as 5.00 cm. Dorin, Demmin, Gabel, Chemistry The Study of Matter 3rd Edition, page 32 10 760 5 0 Here is a final example, with the vernier at yet another position. The pointer points to a value that is obviously greater than 751.5 and also less than 752.0. Looking for divisions on the vernier that match a division on the scale, the 8 line matches fairly closely. So the reading is about 751.8. 750 740 In fact, the 8 line on the vernier appears to be a little bit above the corresponding line on the scale. The 8 line on the vernier is clearly somewhat below the corresponding line of the scale. So with sharp eyes one might report this reading as 751.82 ± 0.02. This "reading error" of ± 0.02 is probably the correct error of precision to specify for all measurements done with this apparatus. http://www.upscale.utoronto.ca/PVB/Harrison/Vernier/Vernier.html How to Read a Thermometer (Celcius) 4.0 oC 10 10 100 5 5 50 0 0 0 8.3 oC 64 oC 5 0 3.5 oC Record the Temperature A (Celcius) 60oC 6oC 50oC 5oC 25oC 100oC 100oC 40oC 4oC 20oC 80oC 80oC 30oC 3oC 15oC 60oC 60oC 20oC 2oC 10oC 40oC 40oC 10oC 1oC 5oC 20oC 20oC 0oC 0oC 0oC 0oC 0oC 30.0oC B 3.00oC C 19.0oC D 48oC E 60.oC Rules for Counting Significant Figures 1. Nonzero integers always count as significant figures. 2. Zeros: There are three classes of zeroes. a. Leading zeroes precede all the nonzero digits and DO NOT count as 2 significant figures. significant figures. Example: 0.0025 has ____ b. Captive zeroes are zeroes between nonzero numbers. These always 4 significant figures. count as significant figures. Example: 1.008 has ____ c. Trailing zeroes are zeroes at the right end of the number. Trailing zeroes are only significant if the number contains a decimal point. 3 significant figures. Example: 1.00 x 102 has ____ Trailing zeroes are not significant if the number does not contain a decimal 1 significant figure. point. Example: 100 has ____ 3. Exact numbers, which can arise from counting or definitions such as 1 in = 2.54 cm, never limit the number of significant figures in a calculation. Ohn-Sabatello, Morlan, Knoespel, Fast Track to a 5 Preparing for the AP Chemistry Examination 2006, page 53 Significant figures: Rules for zeros Leading zeros are not significant. Leading zero 0.421 – three significant figures Captive zeros are significant. Captive zero 4012 – four significant figures Trailing zeros are significant. Trailing zero 114.20 – five significant figures Significant Figures Number of Significant Figures Quantity Certain Digits Uncertain Digits 14.379 g 1437 9 (thousandths) 5 60 2 (hundredths) 3 12058 0 (thousandths) 6 7.5 g 7 5 (tenths) 2 0.037 g 3 7 (thousandths) 2 0.0370 g 37 0 (ten-thousandths) 3 6.02 mL 120.580 m *The position of the decimal point has nothing to do with the number of significant figures. Ralph A. Burns, Fundamentals of Chemistry 1999, page 52 Basic Algebra Solve for x. One way to solve this is to cross-multiply. Then, divide both sides by TR. The answer is… ___ BA = ___ TR x H BAH = xTR ( ) ( ) ___ 1 BAH = xTR ___ 1 TR TR BAH x = ___ TR Solve for T2, where… P 1V1 ____ = P1 = 1.08 atm T1 P2 = 0.86 atm ____ 1 PVT = V1 = 3.22 L 1 1 2 P V 1 1 V2 = 1.43 L P2V2T1 T1 = 373 K ( ) P 2V 2 ____ T2 ( ) ____ 1 P1V1 P2V2T1 ______ T2 = P1V1 (0.85 atm)(1.43 L)(373 K) _____________________ T2 = = 130 K (1.08 atm)(3.22 L) A General Procedure for Solving Problems • Read the problem carefully and make a list of the “knowns” and the ‘unknowns” • Look up all needed information – Your lecture notes will have much, if not all, of the needed information • Work out a plan and, following your plan, obtain an answer by carrying out the required math. • Check over your work – This is best done by estimating your answer – Ask yourself: “Does the answer seem reasonable?” How to Succeed in Chemistry • • • • • Learn the language Use the illustrations Review your notes frequently Work as many problems as possible Do NOT cram for exams.