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FROM BED BUGS TO BIG BUGS (actually both terms are incorrect) Kyle’s Girlfriend’s Hands http://www.emedicinehealth.com/slideshow_black_widow_brown_recluse_spiders/ article_em.htm Physical Properties Knowledge of physical properties allow substances to be observed and tested without changing the nature of the substance (chemical composition) Example: melting ice and boiling water still leaves you with H2O Also salt and water are easily mixed and separated and the salt and water still retain their physical characteristics. Alloys (see handout) and solutions (salt water; air) Other physical mixtures from the lab…. Physical mixtures are characteristically non-uniform Chemical Properties These properties require the substance to “react” or be inherently altered so that it is different after the change. Consider the “Observation Lab” reactions All required the combination of different substances such that physical properties after the change were very different than those before the change. Chemical mixtures (compounds) are always uniform Mixture Separation Lab The mysterious mixture was separated by taking advantage of the physical properties of the components of the mixture. Iron - magnetic Iodine – sublimed and deposited on the cold surface Sand – did not dissolve in water (insoluble) and particles were large enough to be trapped by the filter paper Salts – were all soluble and passed through the filter paper and were collected by rapid evaporation. Based on your collected masses, calculate the percent composition of your mixture. Magnetic material: Sublimed material: Filtered material: Dissolved material: Hint: divide your individual masses by the original mass of your mixture and multiply by 100! You’re welcome! Mixture Separation Lab Analysis Compare your data to the data of classmates and the “true” values. What do you think about the data? Is it reliable (can we be confident that the data can be trusted?) Explain the differences by identifying possible errors (human error is not allowed – be more specific) as you carried out the lab. Identify the components of the mixture and the properties used to separate the mixture. 9) Holding the silver penny on the edges with tongs, place it in the hottest part of a burner flame. Pass it slowly through the flame. 10) When the color changes again, plunge the penny into a beaker of water. Metals are hot. 11) Make more coins. 12) Clean up without sin (be impeccable). Questions 1. Did you make gold? How could you prove it? 2. What element gives the penny its silver color? 3. What temperature does zinc melt? Look it up, lazy bums. 4. What is an alloy? 5. What is an alloy of copper and zinc? Copper and tin? 6. Why are alloys helpful/useful? 7. Draw a picture of what the particles of zinc did with the particles of copper. Matter Classification Assessment Evaluation Honors Chemistry You will complete assessments prepared by your classmates. Please evaluate it based on the following criteria (1-4 scale with 4 being most like and 1 being least like) Visually pleasing appearance (easy to read and understand) Challenging (it made you think) Length (it was great, not too short not too long) Accuracy (it effectively tested my level of knowledge of the content) Reliability (as an assessment tool, students with a similar understanding would get a similar score) Enjoyment Other complements and criticisms: Mixture Practice Spark • Complete the worksheet with your lab group, you will turn in whatever you have completed. • Use the flowchart if you need it. It distinguishes matter by particle size and how materials are combined. DOES IT LOOK LIKE ONE THING? Is there only one ingredient in the composition? Is it made not onofthe more periodic than table? one element? Matter Classification based on particle size! primary questions • Does it look like one thing? • Yes? • Homogeneous - from the same/one origin (homo – genesis) – Mixtures (solutions and alloys) and Pure Substances – No? • Heterogeneous - from different/multiple origins (hetero – genesis) – Mixture (suspensions and colloids) Matter Primary Question: Does it look like one thing? Yes Homogeneous No Heterogeneous (mixture) Homogeneous Question Is it made of one ingredient? No Solution (mixture) Yes Pure Substance Heterogeneous Question Does it always look like more than one thing? Are the components easily observed? Yes suspensions No Colloids (From the Greek word for glue) Dispersing Medium Gas Liquid Solid shaving cream, whipped cream foam rubber, sponge, pumice Liquid fogs, clouds, mayonnaise, aerosol can spray milk, face cream jelly, cheese, butter Solid smoke, car exhaust, airborne viruses Gas Gold in water, milk of magnesia, river silt alloys of metals (steel, brass) Colloidal Dispersions Dispersing Medium Gas Gas Liquid Solid Foam Foam Liquid Aerosol Emulsion Gel Solid Aerosol Sol Solid Sol Dispersed particles 1100 nanometers in size Tyndall effect – helps distinguish between colloids and solutions (mixtures distinguished by the size of particles). Gold in water B This liquid has particles that are big enough to disperse light. • Positive Tyndall Effect • Colloid Pure Substance Question: Is it unable to be separated into simpler forms of matter? Yes Elements (Is it on the periodic table) No Compounds Solution Question: Is it made of metal? Alloy (see handout) Yes No Element Question: Is it conductive, shiny, malleable, ductile? Yes metal No (periodic table) nonmetal Kind of? Metalloid/Semimetal Compound Question: After mixing with water, is it conductive? Yes Electrolyte (ionic and soluble) No Nonelectrolyte (covalent or insoluble) Electrolyte Question: Is the pH of the solution less than 7? Yes Acids pH < 7 No Bases pH >7 or Neutral pH = 7 pH = 7 Water and Salts Nonelectrolyte Question: Is it a carbon based compound? Yes Organic No No Inorganic There are entire years of college chemistry curricula devoted just to these two categories of chemical compounds Alchemy 101 Chromatography Spark Measure the line on your measurement packet (in cm). Do not just copy the measure of your neighbor http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/ ALL Measurements in Science use the Metric System The International System NOT the English System Systems of Measurement The U.S. English System The rest of the World Metric System The International System SI Base Units Mass Length Time Energy Temperature Amount of substance kilogram meter second Joule Celsius o mole Derived Units Derived units involve multiple base units. Derived Units Area 2 = length Derived Units Area 2 = length 3 Volume = length Derived Units Area 2 = length 3 Volume = length Density = mass / volume SI Prefixes SI Prefixes mega 1 000 000 SI Prefixes mega kilo 1 000 000 1 000 SI Prefixes mega kilo centi 1 000 000 1 000 0.01 SI Prefixes mega kilo centi milli 1 000 000 1 000 0.01 0.001 1 ml = 1 3 cm Say, "cubic centimeters" NOT centimeters cubed Important Derived Units 1 liter = 1 cubic decimeter, dm3 Important Derived Units 1 liter = 1 cubic decimeter, dm3 1 milliliter = 1 cubic centimeter, cm3 Important Derived Units 1 liter = 1 cubic decimeter, dm3 1 milliliter = 1 cubic centimeter, cm3 Density of H2O = 1 gram / cm3 "cubic centimeters" NOT centimeters cubed kilo = 1000 hecto = 100 deca = 10 the base = 1 deci = 0.1 centi = 0.01 milli = 0.001 When converting from a big prefix to a small prefix... kilo hecto deka 1 deci centi milli multiply by 10 with each step. When converting from a big prefix to a small prefix... X10 kilo hecto deka 1 deci centi 1 dekameter = 10 meters milli When converting from a big prefix to a small prefix... X10 kilo hecto deka 1 deci centi 1 dekameter = 10 meters 1 dekameter = ? centimeters milli When converting from a big prefix to a small prefix... X10 kilo hecto deka 1 deci centi milli 1 dekameter = 10 meters 1 dekameter = 1000 centimeters When converting from a small prefix to a big prefix... /10 kilo hecto deka 1 deci centi divide by 10 with each step. milli When converting from a small prefix to a big prefix... /10 kilo hecto deka 1 deci centi 1 centimeter = .01 meters milli When converting from a small prefix to a big prefix... /10 kilo hecto deka 1 deci centi 1 centimeter = .01 meters 1 centimeter = ? kilometers milli When converting from a small prefix to a big prefix... /10 kilo hecto deka 1 deci centi milli 1 centimeter = .01 meters 1 centimeter = .00001 kilometers cm All numbers in chemistry are measurements so they MUST have units. oC g 3 cm SPARK Use your measurement packet This dust mite is about 450 micrometers long. Yer bed is sooo cozy. We really ‘preciate yer hospeetality! How many mites could fit lengthwise on a 2.5 meter mattress? SPARK II The average mattress increases it’s mass nearly 4000g in 5 years.* Sorry fer the mess, I know my youmite sneeze, but How many pounds of dead poop skin, makes mite and droppings dang per yer skin is (2.2 delicious! is added to your sleep cushion year? lb = 1kg) *debatable After 2 years, 10% of your pillow’s mass can be accounted for by dead mites and their droppings.* How many milligrams of a 0.85 kg pillow is dust-mite? Metric Prefixes • You need to know them… • Their size (magnitude) and also their power of 10 – Examples: milli = 1000th or 10-3 or 3 decimal places kilo = 1000 or 103 or 3 decimal places And how to change from one prefix to the other. Example: milli to kilo to centi to mega 42 mg = 0.000042 kg = 4.2 cg = 0.000000042 Mg 4.2 x 101 mg = 4.2 x 10-5 kg = 4.2 x 100 cg = 4.2 x 10-8 Mg Remember: Its a question of scale 1 X 106 meters - 1 megameter 1 000 000 Its a question of scale 1 X 105 meters - 100 kilometers 100 000 Its a question of scale 1 X 104 meters - 10 kilometers 10 000 Its a question of scale 1 X 103 meters - 1 kilometer 1 000 Its a question of scale 1 X 102 meters - 100 meters 100 Its a question of scale 1 X 101 meters - 10 meters 10 Its a question of scale 1 X 100 meters - 1 meter 1 Its a question of scale 1 X 10-1 meters - 0.1 meter - 10 cm 0.1 Its a question of scale 1 X 10-2 meters - 1 centimeter 0.01 Its a question of scale 1 X 10-3 meters - 1 millimeter 0.001 Its a question of scale 1 X 10-4 meters - 100 micrometers 0.000 1 Its a question of scale 1 X 10-5 meters - 10 micrometers 0.000 01 Its a question of scale 1 X 10-6 meters - 1 micrometer 0.000 001 Uncertainty in Measurement? • Science may claim to be a search for “truth”, but never claims to be 100% confident that it knows the “facts”. • Why not? • Where have scientists been mistaken? • Is it a question of scale? How big or small your frame of reference is? Uncertainty in Measurement • Estimation and Error – Significant Figures – Reliability - Accuracy and Precision Is this number accurate? Is it precise? Is it the same as 2 g? 2.2 g? 2.24 g? 2.240 g? Which measurements are the most precise? Most accurate? The “Dart Board” on a line • Below is the range of possible values with the “bullseye” or “true” value located somewhere amidst the data. The “TRUTH” 2.1 2.3 2.4 2.5 2.6 2.8 2.9 X precise? X precise? N=7 Mean = 2.51 Median = 2.5 Uncertainty in Measurement When enough measurements are made there will be values that are larger and smaller than the mean. Those that are too far away from the other values, skew the mean and affect our understanding of the “truth” All measurements are done by humans and are reflective of how confident the scientist is in their measurement tool and technique. Every measurement is an “estimate”. Depending on your measurement device you will not be 100% certain about the quantity being measured. There are always limitations in the measuring equipment and in the ability of the person using the equipment. Measured quantities are properly reported in such a way that only the last digit is uncertain. All digits of a measured quantity, including the uncertain one, are called significant figures. The greater the number of significant figures, the greater the implied certainty of the measurement. This scale can report only 2 significant figures. The first measured # is certainly 2. The second # must be estimated. 105 The reading could be reported as 28 or 29... But it could not be reported as 28.5 A reading of 28.5 implies that ones were measured and tenths estimated. Uncertainty in Measurement • Estimation and Error – Reliability - Accuracy and Precision – Significant Figures How many sig figs (marked values plus one estimate) are in the measurements below • 6.751 g • 0.157 kg 4 __________ 3 __________ • 28.0 ml 3 __________ • 2500 m 2 __________ • 0.070 g 2 __________ • 30.07 g 4 __________ • 0.0067 cm 2 __________ Sig figs are the only digits that matter in a measurement. Important Sig Fig Info When a calculation involves measurements with different numbers of significant figures, the answer should have the same number of significant figures as the LEAST in the measurements. Important length X width X height = volume 2 cm X 5.5 cm X 2.258 cm = 24.838 3 cm Can we REALLY know the volume to thousandths of a cubic centimeter? Important length X width X height = volume 2 cm X 5.5 cm X 2.258 cm = 24.838 3 cm What should be the answer? Important length X width X height = volume 2 cm X 5.5 cm X 2.258 cm = 24 or 25 cm3 20 3 cm Rules for assigning significance 1. Digits other than zero are always significant. Rules for assigning significance 1. Digits other than zero are always significant. 6 ml 6.6 ml 66.24 ml Rules for assigning significance 1. Digits other than zero are always significant. 6 ml 6.6 ml 66.24 ml 1 2 4 Rules for assigning significance 2. Rules for zeros: Rules for assigning significance 2a. A single zero BEFORE the decimal point is NEVER significant. Rules for assigning significance 2a. A single zero BEFORE the decimal point is NEVER significant. 0.6 ml Rules for assigning significance 2a. A single zero BEFORE the decimal point is NEVER significant. 0.6 ml 1 Rules for assigning significance 2b. Final zeros AFTER a decimal point are always significant. Rules for assigning significance 2b. Final zeros AFTER a decimal point are always significant. 0.6 ml 6.0 ml 6.60 ml Rules for assigning significance 2b. Final zeros AFTER a decimal point are always significant. 0.6 ml 1 6.0 ml 2 6.60 ml 3 Rules for assigning significance 2c. Zeros BETWEEN two significant figures are always significant. Rules for assigning significance 2c. Zeros BETWEEN two significant figures are always significant. 6006 ml 6.02 g 0.600 kg Rules for assigning significance 2c. Zeros BETWEEN two significant figures are always significant. 6006 ml 4 6.02 g 3 0.600 kg 3 Rules for assigning significance 2d. Zeros used ONLY to space the decimal are never significant. Rules for assigning significance 2d. Zeros used ONLY to space the decimal are never significant. 100 g 0.001 ml 0.000602 ml Rules for assigning significance 2d. Zeros used ONLY to space the decimal are never significant. 100 g 1 0.001 ml 1 0.000602 m 3 Scientific Notation Only shows significant values! • Number is separated into 2 parts – 1 must be a value between 1 and 10 PREFIX – 2 the power of ten that the prefix is multiplied by to reflect the size of the value MAGNITUDE Rules for assigning significance 2e. Scientific notation 6.02 X 10 23 atoms Rules for assigning significance 2e. Scientific notation 6.02 X 10 23 atoms Any digits BEFORE the X are always significant. Rules for assigning significance 2e. Scientific notation 6.02 X 10 23 atoms The powers of 10 are never significant. One last hint about significant figures: Accepted equalities, like 1 foot equals 12 inches, are considered to have an INFINITE number of significant figures. Important You will probably be required to used significant figures in college chemistry class when rounding off calculations. Find Sig Figs • Sig figs are the only digits that matter in a measurement. They are always written to include all marked values plus your estimate. • 142 g • 0.073 s • 1.071 cm • 70,810 kg • 5.00 mg • 55.320 pm • 1.010 fg What are the correct measurements? Rounding Rules - Wrong • When you round off, you change the value of the number, unless you round off a zero. Remember that "rounding off" a zero does not change the value of the number being rounded. • Following the old rules, you can round a number down in value four times (rounding with one, two, three, four) compared to rounding it upwards five times (five, six, seven, eight, nine). • This cannot be allowed if we are to determine the TRUTH Rounding Rules Wrong • On average you would be changing values in the sample downwards 4/9ths of the time, compared to changing values in the sample upward 5/9ths of the time. • This means the average of the values AFTER rounding would be greater than the average of the values BEFORE rounding. • This is not acceptable as we search for the truth. New Rules – Say What? • If it is less than 5, drop it and all the figures to the right of it. • If it is more than 5, increase by 1 the number to be rounded, that is, the preceding figure. • If it is 5, round the number so that it will be even. Keep in mind that zero is considered to be even when rounding off. Using YOUR calculator. Problem #1: (10.25) (5.74 X 4 10 ) give the answer in scientific notation = Problem #1: (10.25) (5.74 X 588350 4 10 ) = Problem #1: (10.25) (5.74 X 4 10 ) = 588350 significant figures? Problem #1: (10.25) (5.74 X 5.88 X 4 10 ) 5 10 = Problem #2: (6.2 X -12 10 ) (3.87 X 9 10 ) give the answer in scientific notation = Problem #2: (6.2 X -12 10 ) (3.87 X 9 10 ) 0.023994 significant figures? = Problem #2: (6.2 X -12 10 ) (3.87 X 2.4 X -2 10 9 10 ) = Problem #3: (6.02 X 23 10 ) (1.05 X 6.32 X 35 10 12 10 ) = Spark Happy Friday 09.09.11 • Please read the directions, complete the worksheet and the sentence. • This is a race. To the victor goes the spoils. To the losers go the smegma. Dimensional Analysis the most important math in all of chemistry!! Dimensional Analysis used to convert from one type of unit to another. Dimensional Analysis treats numbers and units equally. First write what is given. Then multiply by fractions equal to 1 to change the units. WHAT DOES THIS MEAN??????? Consider what happens when you divide like terms in math…. They cancel because dividing anything by itself = 1…..Right? When the only units NOT canceled are the units asked for, the problem is solved. A problem: How many cups of oil are in a barrel of oil? Known equalities: 1 barrel = 42 gallons 1 gallon = 4 quarts 1 quart = 4 cups Step 1: write what is given. 1 barrel Step 1: write what is given. 1 barrel Step 1: write what is given. 1 barrel This line means divide by. Step 1: write what is given. 1 barrel This line means multiply by. Step 2: multiply by fractions equal to one. 1 barrel Step 2: multiply by fractions equal to one. 1 barrel What units go here? Step 2: multiply by fractions equal to one. 1 barrel barrels Now we'll be able to cancel barrels. Step 2: multiply by fractions equal to one. What units go here? 1 barrel barrels Step 2: multiply by fractions equal to one. 1 barrel gallons barrels Step 2: multiply by fractions equal to one. 1 barrel 1 barrel = 42 gallons 1 gallon = 4 quarts 1 quart = 4 cups gallons barrels What numbers will make this fraction equal to 1? Step 2: multiply by fractions equal to one. 42 gallons 1 barrel 1 barrels Step 2: multiply by fractions equal to one. 42 gallons 1 barrel 1 barrels Barrels have been converted to gallons. Step 2: multiply by fractions equal to one. 42 gallons 1 barrel 1 barrels What units go here? Step 2: multiply by fractions equal to one. 42 gallons 1 barrel 1 barrels gallons Step 2: multiply by fractions equal to one. 42 gallons 1 barrel 1 barrels gallons What units go here? Step 2: multiply by fractions equal to one. 42 gallons quarts 1 barrel 1 barrels gallons Step 2: multiply by fractions equal to one. 42 gallons quarts 1 barrel 1 barrels gallons 1 barrel = 42 gallons 1 gallon = 4 quarts 1 quart = 4 cups And the numbers are? Step 2: multiply by fractions equal to one. 42 gallons 4 quarts 1 barrel 1 barrels 1 gallon Step 2: multiply by fractions equal to one. 42 gallons 4 quarts 1 barrel 1 barrels 1 gallon Gallons have become quarts. Step 2: multiply by fractions equal to one. 42 gallons 4 quarts 1 barrel 1 barrels Are we done yet? 1 gallon Step 2: multiply by fractions equal to one. 1 barrel 42 gallons 4 quarts 1 barrels 1 gallon What units go here? Step 2: multiply by fractions equal to one. 1 barrel 42 gallons 4 quarts 1 barrels 1 gallon quarts Step 2: multiply by fractions equal to one. 1 barrel 42 gallons 4 quarts 1 barrels 1 gallon And here? quarts Step 2: multiply by fractions equal to one. 1 barrel 42 gallons 4 quarts cups 1 barrels 1 gallon quarts Step 2: multiply by fractions equal to one. 1 barrel 42 gallons 4 quarts cups 1 barrels 1 gallon quarts 1 barrel = 42 gallons 1 gallon = 4 quarts 1 quart = 4 cups And the numbers are? Step 2: multiply by fractions equal to one. 1 barrel 42 gallons 4 quarts 4 cups 1 barrels 1 gallon 1 quart Quarts have become cups. Step 2: multiply by fractions equal to one. 1 barrel 42 gallons 4 quarts 4 cups 1 barrels 1 gallon 1 quart Have we worked the problem? Step 2: multiply by fractions equal to one. 1 barrel 42 gallons 4 quarts 4 cups 1 barrels 1 gallon 1 quart All units have been canceled except those we are looking for. Step 3: DO THE MATH. 1 barrel 42 gallons 4 quarts 4 cups 1 barrels 1 gallon 1 quart We are ready to punch the buttons on the calculator. Step 3: DO THE MATH. 1 barrel 42 gallons 4 quarts 4 cups 1 barrels 1 gallon 1 quart 1 barrel = 672 cups Another problem: A music CD costs 12 dollars. There are 16 songs on the CD. How many cents does each song cost? What are we given: A music CD costs 12 dollars. There are 16 songs on the CD. How many cents does each song cost? What are we asked for: What are we given: COST PER CD A music CD costs 12 dollars. There are 16 songs on the CD. How many cents does each song cost? What are we asked for: COST PER SONG Write what is given: 12 dollars CD Multiply by fractions equal to 1: 12 dollars CD What do we want to cancel? Multiply by fractions equal to 1: 12 dollars CD Where does it go? Multiply by fractions equal to 1: 12 dollars CD CD Multiply by fractions equal to 1: 12 dollars CD CD What goes here? Multiply by fractions equal to 1: 12 dollars CD CD songs Multiply by fractions equal to 1: 12 dollars CD CD songs And the numbers are? Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs What are our units? Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs dollars per song Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs What goes here? Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs dollars Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs And here? dollars Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs cents dollars Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs cents dollars And the numbers are? Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs 100 cents 1 dollar Multiply by fractions equal to 1: 12 dollars 1 CD CD 16 songs 100 cents 1 dollar What are our units? DO THE MATH: 12 dollars 1 CD CD 16 songs cents per song 100 cents 1 dollar DO THE MATH: 12 dollars 1 CD CD 16 songs 100 cents 1 dollar 75 cents / song Practice Take your age and convert it into seconds! Do it! Years to days to hours to minutes to seconds. Percent Party!!!!!!!! 1. 7.9 g fat 2. 1012 g milk 3. 1.05% fat 4. 10.6 g fat 0.0106 kg fat 5. 546.48 g nonfat ingredients 6. 0.211% fat 7. 21.9 g sat fat 8. 2.29 g unsat fat 9. 7.49 g sat fat 10. 624 g fat 11. Polar Bear milk = 280.8 Cal 12. 2.86 kg seawater 13. 0.49 g Mg 14. 537 kg magnesium sulfate Cow milk = 29.25 Cal • CooCooForCocoaSpark sorry for all the text! The study was published in Chemistry Central Journal. • Comparing the antioxidants in chocolate vs. the so-called super-fruits – acai berries, blueberries, cranberries, researchers at the Hershey Center for Health & Nutrition found that there was a greater antioxidant capacity per gram in cocoa powder than in fruit powders. Antioxidants inhibit the oxidation of cell molecules that turn into free radicals. • Polyphenols and flavonols are the two main groups of antioxidants. Foods high in polyphenols and flavonols are the super foods and now cocoa powder has been added to this list. While the flavonol content in most fruit powders averaged at less than 10 milligrams per gram of powder, it was found to be 30.1 milligram for one gram of cocoa powder. Per serving of 40 grams of dark chocolate had more than 500 milligrams of flavonols, cocoa powder with 400 milligrams and the fruit juices at one cup (220g) per serving, had less than 200 milligrams of flavonols. Convert each of these ratios to percent values so they can be more easily compared. 1,000 milligrams of polyphenol content was found in each serving of dark chocolate (40 grams). What is percent of dark chocolate is polyphenol? • The flavonol content of cocoa powder was found to be higher than all of the fruit powders. • Similar results were found when they compared dark chocolate and cocoa to fruit juices. • The researchers studied the antioxidant activity for a 40 gram serving of dark chocolate and cocoa powder as compared with a one cup serving of fruit juice. With the exception of pomegranate juice, the dark chocolate showed significantly higher antioxidant activity per serving than the other fruit juices. • Researchers have noted that the dark chocolate and cocoa powder used in the study contained natural or non-alkalized cocoa. Alkalization improves the taste, color and dispersion properties of the cocoa but destroys the polyphenolic compounds it contains. Bad news for hot chocolate lovers, though, is that their drink of choice offers little in the way of antioxidants (due to the way it's processed). Communication in Science • Statistical Analysis – Mean What was the average value? (bell curve), aka “true” value, central tendency • How do other measurements compare to the mean? – Percent Error how far off was the measurement from the accepted value? SPARK Monday, September 12, 2011 Find the volume of a cube with a length measurement that has only 1 sig fig (ex: 3 cm) Find the volume of a cube with a length measurement containing 2 sig figs (ex: 3.3 cm) Find the volume of a cube that has a length measurement containing 3 sig figs (ex: 3.25 cm) Which measurement is most precise? Most accurate? Dimensional Analysis Spark 09/13/2011 Density is a conversion factor between the mass and volume of a sample. Mercury has a density of 13.6 g/mL. What is the mass of 2.42 gallons of mercury? (1 gallon = 3.78 L) Complete the Measurement Lab Calibrate your balances before use. Send group reps up to deliver the data. Part of your lab grade rests on getting me the data ASAP! If you are finished, work on the conversion worksheet (#1-19) that is due Wednesday Experimental error is a comparison of a value obtained by measurement to an accepted theoretical value. THIS IS A MEASURE OF ACCURACY! The accepted theoretical value is either obtained from reference material or calculated. experimental _ theoretical value value X 100 % error = theoretical value Exp Error Practice Problem. A student determines experimentally that the density of water is 0.85 grams per cubic centimeter. Calculate the student's experimental error. 0.85 g _ 1.00 g X 100 % error = 1.00 g % error = 15 % Exp Error Practice Problem. Before drying, a sample weighs 5.6 g. After drying, it weighs 4.2 g. The sample is known to contain 3.0 grams of water. Calculate the experimental error. % error = 53 % 1.4 g _ 3.0 g X 100 % error = 3.0 g Advanced Stats • Mode, median, range • (average) Deviation from the mean • Standard Deviation – the mean of the mean (Estimated Standard Deviation, <20) – how true is the “true” value? • Normal Distribution This is making me angry!!!!!!!!!! What About Bad Data? Q test • Q = abs. value of suspect value – closest value range of data N 3 4 5 6 7 8 9 10 15 Qc 0.94 0.76 0.64 0.56 0.51 0.47 0.44 0.41 What About Bad Data? Q Test Use only one time! Example: 9.43, 8.95, 8.97, 8.96, 8.93 g/cm3 N Qc 3 4 5 6 7 8 10 15 0.94 0.76 0.64 0.56 0.51 0.47 0.44 0.41 N>15 Critical Q value is 2.6 x standard deviation 9 S = Standard Deviation • Mean of the mean • Square root of the sum of the squared (devMean) divided by n-1 • In a normal distribution… • 68% of all measurements fall within one standard deviation of the average. 95% of all measurements fall within two standard deviations of the average. Steps for Standard Deviation • • • • • • Find mean of data Find individual deviations from mean Square all individual deviations from mean Sum all squared deviations from mean Divide by N or n-1 Square root the quotient Practice Data: 100m Dash Times X Time (sec) DvMean DvMean2 Mean 1 9.77 0.07 0.0049 2 9.78 0.06 0.0036 9.90 Truth? StDev 3 9.84 0.00 0.00 0.077 4 9.85 0.01 0.001 Con. 5 9.96 0.12 0.0144 0.04 6 10.20 Practice Data: 100m Dash Times X Time (sec) DvMean DvMean2 Mean 1 9.77 0.07 0.0049 2 9.78 0.06 0.0036 9.84 9.90 (Q) StDev 3 9.84 0.00 0.00 0.077 4 9.85 0.01 0.001 Con. 5 9.96 0.12 0.0144 0.04 6 10.20 Boo! • About 68% of values drawn from a standard Distribution for 100 m normal distribution are within one standard Dash Times (s) deviation away from the mean; = 0.077 • About 95% of the values are within SD two standard deviations and • About 99.7% lie within three standard deviations. • This is known as the "68-95-99.7 rule" or the "empirical rule." 9.686 9.763 9.84 9.917 9.994 Confidence • 2.16 +/- 0.05 cm3 at 95 % confidence means that there is a 95% probability the “true” value lies between 2.11 cm3 and 2.21 cm3 • IT DOES NOT MEAN THAT WE ARE CONFIDENT OF THE RESULT ONLY 95% OF THE TIME ! • About 68%95.4% of values drawn a standard of the area underfrom the curve normal distribution are within one standard deviation away from the mean; • About 95% of the values are within two standard deviations and • About 99.7% lie within three standard deviations. • This is known as the "68-95-99.7 rule" or the "empirical rule." 2.16 2.11 2.16 95.4% probability the true value lies here Confidence depends on the size of your data sample (N) and the mean as it relates to the spread of the data • + or - Δ = t * S/N N-1 1 2 3 4 5 6 7 8 9 10 15 Infin t 12.7 4.30 3.18 2.78 2.57 2.45 2.36 2.31 2.26 2.23 2.13 1.96 Reporting • Mean = 1.015 g/cm3 with estimated deviation of 0.006 g/cm3 • Density = 1.015(6) g/cm3 • Density is 1.015 +/- 0.006 at 95% confidence limit • This is how science can tell if it is “right” or if it has found the “truth” in nature. Density Spark • An unknown metal was found to have a mass of 3.54 grams and displaced 0.53 mL of water what is the density of the metal? Known Densities (g/mL) Tellurium has a density of 6.4 Nickel has a density of 8.9 Cerium has a density of 6.657 – What is the identity of the metal? – What is your percent error? – Is the data accurate? – Is it precise? Calculating density makes me really – Where might errors exist in the data? happy! DANG DIMENSIONAL ANALYSIS • The diameter of a palladium atom is 140 picometers; the picometer is equal to 1 x 10-12 m; the equatorial diameter of the Earth is 40 075.02 km – How many Palladium atoms would it take to encircle the Earth at the Equator? – If one palladium atom weighs 1.77 x 10-22 g, then what is the mass of the “palladium ring” circling the Earth? • In America, a car’s gas efficiency is measured in miles per gallon. In Europe, it is measured in km/L. If your car’s gas mileage is 40.0 mi/gal, how many liters of would you need to complete a 142 km trip? – (1 km = 0.6214 miles; 1 gallon = 3.7884 L) 9/15/2011 Birthday Spark for Tommy Lee Jones (p. 1) • In America, a car’s gas efficiency is measured in miles per gallon. In Europe, it is measured in km/L. If your car’s gas mileage is 40.0 mi/gal, how many liters of gas would you need to complete a 142 km trip? – (1 km = 0.6214 miles; 1 gallon = 3.7884 L) 9/15/2011 Birthday Spark for Tommy Lee Jones Black Hole Density If the mass of the sun (m = 2 x 1033 g) were to collapse into a “spherical” black hole with a radius of 300 cm, then what is the density of the black hole? (Vsphere = 4/3ér3) Earth’s Density is 5.515 g/cm3 A Volkswagen Beetle has a mass of 802 000 g. How many beetles would it take to equal this black hole sun of relative size? http://apod.nasa.gov/htmltest/gifcity/rsgrow.mpg Friday Spark 09/16/2011 Phosphaturia is a medical condition of too much phosphorus in your urine. It can be a symptom of a kidney dysfunction. If 1 gallon of urine (density = 1.035 g/mL) produced 6.5 grams of phosphorus, then what is the percent concentration of phosphorus in the urine? (1 gallon = 3.78 L) Combining images from the Hubble Space Telescope and the Chandra Xray Observatory, NASA offers a glimpse into a dazzling ring of black holes 430 million light years from Earth. The image shows two galaxies, known collectively as Arp 147, that collided in the past, triggering a wave of star formation (blue ring in galaxy at right). A number of these stars exploded as supernovae, producing black holes. Some of these, thought to weigh 10 to 20 times as much as the sun, shine brightly in X-rays (pink blobs) as they rob matter from companion stars. Measurement Investigations Verify the density of distilled water. What is the density of hot water? What is the density of cold water? Determine the density of other liquids like tap water, saltwater, or ethanol. Determine the density of a known metal. Determine the density of a penny*. Calculate the thickness of a penny. What is the thickness of aluminum foil?