SCIENTIFIC MEASUREMENT Ch 2 Chemistry is a lot of math!
WARM UP 1.Name 3 tools used for measurement. 2.What is a unit? 3.Give an example of a unit. 4.Why are units important.
CH 2 SCIENTIFIC MEASUREMENT Chemistry is a lot of math!
MAKING MEASUREMENTS Ch 2.2 Qualitative measurements: Give results in a descriptive and non-numerical form Example: Cookie Monster is Blue Quantitative measurements: Give results in a definite form usually as numbers and units Example: Cookie Monster ate 1 kg of cookies
QUALITATIVE OR QUANTITATIVE? The Big Mac is $2.29. The Pop Rocks are blue. The coffee is hot. The slurpee is 0 degrees Celsius.
Measurement a quantity that has both a number and a unit. For example I weigh 90! I make 1000 an hour! There are 72 in this class. Numbers with NO units mean NOTHING and will be marked WRONG on HW/Tests, etc. Measurements are fundamental to the experimental science.
INTERNATIONAL SYSTEM OF UNITS
SI UNITS (SYSTEME INTERNATIONALE) Quantity Unit Symbol tool Length Meter m Ruler, meter stick Mass Gram g Scale/ balance Not the same as weight Temperature Kelvin/ Celsius K / C Thermometer K=C+273 Time Seconds s Stopwatch Volume Liter or cm 3 L or cm 3 Graduated cylinder 1mL=1cm 3 Density Mass/Vol g/ml Scale & cylinder Derived unit Energy Joule J coulometer Can also use calorie Amount Mole Mol
SI UNITS (SYSTEME INTERNATIONALE) Meter (m) for length Use a meterstick to measure Kilogram (kg) for mass (1 kg = 2.2 lbs) Weight is NOT the same thing as mass! Use a scale to measure Kelvin (K) for temperature K = o C + 273 0 K = absolute zero Use a thermometer to measure o C is another option, but not Fahrenheit (in the metric Second (s) for time Use a stopwatch to measure Mole for the amount of substance We will talk about mole later Liter (L) or m 3 for volume Use a graduated cylinder to measure 1L = 1m 3 joule or calorie for energy We don t discuss this much in this class
MASS VS WEIGHT Mass: amount of matter Weight: measure of gravitational pull - Gravity does not affect mass
DERIVED UNITS: IT IS A COMBINATION OF UNITS Volume: cm3 amount of space occupied by an object Density: D= m/v Ratio of mass to volume ml=cm3 Speed: meters/ second
METRIC PREFIXES: The metric system utilizes prefixes based on powers of 10. Prefixes you need to memorize milli- (1/1000x), centi-(1/100x), kilo-(1000x)
METRIC PREFIXES Prefixes you need to memorize milli- (1/1000), centi-(1/100), kilo-(1000x) Adding prefixes, gives us a range of size measurements. Based on a system of 10 s (decimal system) NOTE that the bigger number goes with the smaller unit. 100 cm = 1 m
ALL METRIC UNITS INCREASE OR DECREASE BY A POWER OF 10.
Conversion factors: a ratio of equal proportions, expressed as a fraction Values can often be expressed in more than one form $1 = 4 quarters = 10 dimes = 20 nickels = 100 pennies 1 meter = 100cm = 1000mm = 0.001km equal values can be shown as a ratio equal to 1; such ratios are called conversion factors $1 60min 10dim es 1hr 1000m 1km 1km 1000m conversion factors are useful for solving problems in which given measurements must be expressed in some other unit.
Example 1: conversions a. convert 20 meters to millimeters 1. which is smaller? 1000 mm in 1m 2. how many of the smaller are in the larger? 3. create a conversion factor 1000mm/1m 20,000mm
Example 2: conversions b. Convert 20 meters to kilometers 0.02 km
MORE EXAMPLES 3. 600 g = kg 4. 8900 mm = m 5. 2.3 s = ms 6. 0.250 kg = mg 7. 6580 cm 3 = m 3 8. 0.35 m 3 = mm 3 Answers 3) 0.6kg 4) 8.9m 5) 2300ms 6) 250,000mg 7).00658 m 3 8) 350000000
Date SI Unit Practice Convert each of the following: 1. 3.68 kg = g 2. 568 cm = m 3. 8700 ml = l 4. 25 mg = g 5. 0.101 cm = mm 6. 250 ml = l 7. 600 g = kg 8. 8900 mm = m 9. 0.000004 m = mm 10. 0.250 kg = mg Example: 3.68kg * 3.68kg * 10 3 1000g 1 kg = 3680g Use table 2 on pg35! However you won t get the table for your quiz
Date: SI Unit Practice WHAT SI UNIT WOULD YOU USE TO MEASURE. 1. The length of a football 5. The distance from field? school to Sears? 2. The WIDTH of a strand of hair? 3. The mass of an elephant? 4. The mass of an ant? 6. The height of your desk? 7. The volume of water in a pool? 8. The volume of water in a spoon? 9. The temperature of this room?
1. 3.68 kg = 3680 g 2. 568 cm = 5.68 m 3. 8700 ml = 8.7 l 4. 25 mg = 0.025 g 5. 0.101 cm = 1.01 mm 6. 250 ml = 0.25 l 7. 600 g = 0.6 kg 8. 8900 mm = 8.9 m 9. 0.000004 m = 0.004 mm 10. 0.250 kg = 250000 mg
WHAT SI UNIT WOULD YOU USE TO MEASURE. 1. The length of a football 5. The distance from school field? Meters to union station? Kilometers 2. The WIDTH of a strand 6. The height of your desk? of hair? Mm, um cm 7. The volume of water in a pool? 3. The mass of an kl or km 3 elephant? km 8. The volume of water in a spoon? 4. The mass of an ant? ml or cm 3 9. The temperature of this Mg (grams) room? Kelvin (Celsius)
WARM UP Convert the following: 1. 6.34g to cg 2. 69mm to cm 3. 0.93km to cm
MORE EXAMPLES 3. 600 g = kg 4. 8900 mm = m 5. 2.3 s = ms 6. 0.250 kg = mg 7. 6580 cm 3 = m 3 8. 0.35 m 3 = mm 3 Answers 3) 0.6kg 4) 8.9m 5) 2300ms 6) 250,000mg 7).00658 m 3 8) 350000000 m
SCIENTIFIC NOTATION: move decimal point the number of times ex: 1*10 5 indicated by the power of 10. + means larger number - means smaller number Convert the following out of or into scientific notation 1) 6.5*10 4 = 2) 6.5*10-4 = 65000.00065 3).00035 = 3.5*10-4 4) 35000 = 3.5*10 4
DERIVED UNITS: IT IS A COMBINATION OF UNITS Volume: ml or cm3 Density: D= m/v amount of space Ratio of mass to occupied by an volume object Speed: meters/ second
DENSITY add the symbols <, >, or =to compare the blocks < < =
DENSITY: D= M/V Ex 1: A rock has a mass of 10 grams and a volume of 5 cm 3. Calculate its density. 10g / 5cm 3 = 2 g/cm 3 Units: Density = g 3 cm mass volume g or ml
D= m/v How can you find density from a graph? Density is the slope of the line of mass vs volume. D= m/v=slope = rise = run y 2- - y 1 g X 2 x 1 ml Ex: 11-3 g 11-3mL = 1 g/ml
1. What mineral is more dense? A, B, or C? - A: it has greatest slope 2. If you put equal volumes of A and B on a balance, which would have a larger mass? - A
http://www.youtube.com/watch?v=-cdkjuo_lys
MORE DENSITY CALCULATIONS Water displacement is used to find the volume of unusual shape: volume = final initial water voluem 1. measure volume of water 50mL 2. Add an object and measure volume again 60ml 3. Subtract the volume of object+water from volume of just water 60-50=10mL Ex 2. The mass of 10 copper coins is 30 grams. The initial volume of water is 50mL and the volume with the coins if 55mL. Calculate the density of the copper coins.
Ex: 3. The density of silver is 10.0 g/cm 3. If you have a sample size of 17.235 grams, what is the volume of the silver? HOW WOULD TEMP AFFECT DENSITY?? As temperature increases, what happens to density? If density deals with mass and volume Does temperature affect mass? Or volume?
1. The density of silver is 10.0 g/cm 3. If you have a sample size of 17.235 grams, what is the volume of the silver? 2. If you have equal volumes of B(blue line) and C (red line). Which one has a larger mass?
WARM-UP A scientist wants to conduct an experiment measuring the effect of temperature on the density of nitrogen gas. 1. What units should be used for temperature and density? 2. What tools should be used to measure temperature and density? 3. What would be the independent and depend variables? 4. Control group and some constants?
CH 2.3 Accuracy: the closeness of measurements to the actual value Precision: The closeness of a set of measurements to each other 2 technicians measure the density of a new substance: A: 2.000, 1.999, and 2.001 g/ml B: 2.5, 2.9, and 2.7 g/ml The correct value is 2.480 g/ml Who is more accurate and who is more precise?
PERCENT ERROR: MEASURE OF HOW DIFFERENT YOUR VALUE IS FORM THE REAL VALUE Percent error = Value experimental Value accepted *100% Value accepted Example: The density of water at 4 o C is known to be 1.00 g/ml. Kayla experimentally found the density of water to be 1.075 g/ml. What is her percent error?
SIGNIFICANT FIGURES (SIG. FIGS) IN MEASUREMENTS Significant Figures: all the digits in a measurement that are known with certainty plus one estimated digit
HOMEWORK HW: SI unit worksheet front side Quiz! Next class Use pg 42 #1,2 Part A and B of SI unit worksheet to study Table on pg 35
WARM-UP A scientist wants to conduct an experiment measuring the effect of temperature on the density of nitrogen gas. 1. What is the independent variable in this experiment? 2. The dependent variable? 3. What could be used as a control group? 4. What would be some constants? 5. What units should be used for temperature and density? 6. What tools should be used to measure temperature and density?
SCIENTIFIC NOTATION: move decimal point the number of times ex: 1*10 5 indicated by the power of 10. + means larger number - means smaller number Convert the following out of or into scientific notation 1) 6.5*10 4 = 2) 6.5*10-4 = 65000..00065 3).00035 = 3.5*10-4 4) 35000 = 3.5*10 4
SIGNIFICANT FIGURES (SIG. FIGS) IN MEASUREMENTS Significant Figures: all the digits in a measurement that are known with certainty plus one estimated digit
SIGNIFICANT FIGURES Ch 2.3 When we make quantitative measurements, we care about how good our data is. How we do this? Significant figures Slide 1 of 6
Rules for Significant Figures: 1. All nonzero numbers are significant page 47 and 51 2. Zeros b/t nonzero digits are significant 3. Zeros appearing in front of all nonzero are not significant 4. Zeros at the end of a number and the right of a decimal point are significant 5. Zeros at the end of a number but to the left of a decimal point, if a decimal point is there, are significant. (NOT significant if no decimal) Examples: 245 G 3 sf 40.7 L 87009 km.00958 m 0.09 kg 85.00g 9.00000 2000 m 2000. m 1 4 3 5 3 1 4 6
WHEN GIVEN A NUMBER, YOU MUST BE ABLE TO DETERMINE THE NUMBER OF SIG.FIGS. IN IT. a) 12,389 = All non-zero # s are significant b) 0.452 = Zeros before a decimal are not imp unless it is part of a whole number c) 10.26 = zeros in between # s are significant d) 23.000 = Zeros after a decimal are significant IF THERE IS A WHOLE # e) 6.700 x 10 7 = All numbers in the coefficient of a # in scientific notation are significant f) 24,000,000 = zeros w/out a decimal are NOT significant Perfect example of why sci.not. is so great gets rid of insig 0 s g) 0.00000670 = zeros after a decimal but with no whole # are NEVER significant. Again, use sci.not.
Addition and Subtraction with Sig Figs: answer must have same # after the decimal as the number with the fewest digits to right of the decimal 25.1g + 2.03g = 27.1g Multiplication and Division with Sig Figs: answer must use same # sig figs as the # with the fewest sig figs 3.05g / 8.47mL = 16mL = 20mL 0.360g 80.0g/ 5.0mL = 16mL 80.0g/ 5mL =
MATH WITH SIG FIGS (S.F) Conversions with s.f.: use same number of sig figs in the original measurement - the conversion factor is considered exact and does not count 4.608 m * 100cm =460.8cm m Scientific Notation with Sig Figs: number is written to include only sig figs ex: 6.5*10 4 2 sig figs (65000) 2.04*10-5 3 sig figs (.0000204)
SCIENTIFIC NOTATION: move decimal point the number of times ex: 1*10 5 indicated by the power of 10. + means move to the right - means move to the left 6.5*10 4 = 65000 6.5*10-4 =.00035 =.00065 3.5*10-4 35000 = 3.5*10 4
Significant Figures A. State the number of significant digits in each measurement. 1) 2804 m 2) 2.84 km 3) 5.029 m 4) 0.003068 m 5) 4.6 x 10 5 m 6) 4.06 x 10-5 m 7) 750 m 8) 75 m 9) 75,000 m 10) 75.00 m 11) 75,000.0 m 12) 10 cm
Significant Figures Practice A. State the number of significant digits in each measurement. 1) 2804 m 4 2) 2.84 km 3 3) 5.029 m 4 4) 0.003068 m 4 5) 4.6 x 10 5 m 2 6) 4.06 x 10-5 m 3 7) 750 m 2 or 3 8) 75 m 2 9) 75,000 m 2 10) 75.00 m 4 11) 75,000.0 m 6 12) 10 cm 1 or 2
No warm up. Get a red pen (did you finish Sig Fig Practice part B? in classwork section of notebook) B. Solve the following problems and report answers with appropriate number of significant digits. 1) 6.201 cm + 7.4 cm + 0.68 cm +12.0 cm = 2) 1.62 m +1200 cm = 3) 8.264 g - 7.8 g = 4) 1.31 cm x 2.3 cm = 5) 5.7621 m x 6.201 m = 6) 40.002 g / 13.000005 s = 7) 12.00 m+15.001 kg=
B practice 1) 6.201 cm + 7.4 cm + 0.68 cm +12.0 cm = 26.3 cm 2) 1.62 m +1200 cm = 1.362 x 10 3 or 1362 cm 3) 8.264 g - 7.8 g = 0.5 g 4) 1.31 cm x 2.3 cm = 3.0 cm 2 5) 5.7621 m x 6.201 m = 35.73 m 2 6) 40.002 g / 13.000005 s = 3.0771g/s 7) 12.00 m+15.001 kg= can t add m and kg
B. Solve the following problems and report answers with appropriate number of significant digits. 1) 6.201 cm + 7.4 cm + 0.68 cm +12.0 cm = 2) 1.6 km + 1.62 m +1200 cm = 3) 8.264 g - 7.8 g = 4) 10.4168 m - 6.0 m = 5) 12.00 m+15.001 kg= 6) 1.31 cm x 2.3 cm = 7) 5.7621 m x 6.201 m = 8) 20.2 cm / 7.41 s = 9) 40.002 g / 13.000005 g =
1. What tool would you use to measure mass? 2. What unit would you use to measure mass? 3. What tool would you use to measure volume? 4. What unit(s) would you use to measure length?
NAME THE TOOL AND UNITS TO MEASURE EACH: 1. Length 2. Volume 3. Mass 4. Temperature 5. Density
1. LINEAR MEASUREMENTS The length, width, or height of something Tool? ruler, meter stick, etc. Units? Meter (m) Centimeters (cm) Millimeters (mm)
PRACTICE:
2. VOLUME The space matter takes up Tool? Graduated cylinder, beaker, etc. Units? Liter (L) Milliliters (ml) cm 3 MUST BE EYELEVEL TO MEASURE CORRECTLY!
PRACTICE:
3. MASS The quantity of matter Tool? balance, scale, etc. Units? Kilograms (kg) Grams (g) We use digital scales (usually) so just record what the scale says
MASS CONTINUED Scale must read zero before you place anything on it! If you want to measure the mass of something inside a container you must measure the empty container first. How much mass does the water have? 450.0 g 462.3 g
4. TEMPERATURE The amount of heat present Tool? thermometer Units? Degrees Celsius ( C)
5. DENSITY? The amount of matter in a space Units? g/cm 3 or g/ml Tool? scale and ruler or graduated cylinder