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What are we doing today Overview of chapter Time to work on review in groups Jeopardy Accuracy and Precision Video
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Steps in the Scientific Method 1.Identify Problem or an Unknown …then Research the Problem 1.Hypothesis »tentative explanation/prediction of experimental observations, a testable prediction 3. Experiment to Test Hypothesis »gathering new information to decide whether the hypothesis is valid 4. Analysis 5. Conclusion »if hypothesis is wrong – start over »if hypothesis is correct – finished
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Types of Data/Observations Observations are also called data. Qualitative data Quantitative data clear liquid -- -- e.g., e.g., Descriptions, physical appearance Measurements, numerical data 55 L or 83 o C
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The Fundamental SI Units (le Système International, SI) Quantity (Symbol)Base UnitAbbrev. Length Mass Time Temp meter kilogram second kelvin m kg s K Amountmolemol (l) (m) (t) (T) (n)
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SI Prefixes Common to Chemistry PrefixUnit Abbr.Exponent Kilok10 3 Hectoh10 2 Decada10 1 Unit10 0 Decid10 -1 Centic10 -2 Millim10 -3 Kids Have Died Using Drugs Cocaine and Marijuana King Henry Died by Drinking Chocolate Milk
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SI Prefix Conversions 1) 20 cm = ______________ m 2) 0.032 L = ______________ mL 3) 45 m = ______________ nm 4) 805 dm = ______________ km 0.2 0.0805 45,000 32
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C. Johannesson Density An object has a volume of 825 cm 3 and a density of 13.6 g/cm 3. Find its mass. GIVEN: V = 825 cm 3 D = 13.6 g/cm 3 M = ? WORK : M = DV M = (13.6 g/cm 3 )(825cm 3 ) M = 11,200 g
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C. Johannesson Density A liquid has a density of 0.87 g/mL. What volume is occupied by 25 g of the liquid? GIVEN: D = 0.87 g/mL V = ? M = 25 g WORK : V = M D V = 25 g 0.87 g/mL V = 29 mL
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Percent Error Indicates accuracy of a measurement your value accepted value
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Percent Error A student determines the density of a substance to be 1.40 g/mL. Find the % error if the accepted value of the density is 1.36 g/mL. % error = 2.9 %
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C. Johannesson Significant Figures Indicate precision of a measurement. Recording Sig Figs Sig figs in a measurement include the known digits plus a final estimated digit 2.35 cm 2.3 cm
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Sig Fig Practice #1 How many significant figures in each of the following? 1.0070 m 5 sig figs 17.10 kg 4 sig figs 100,890 L 5 sig figs 3.29 x 10 3 s 3 sig figs 0.0054 cm 2 sig figs 3,200,000 2 sig figs
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Sig Fig Practice #2 3.24 m x 7.0 m CalculationCalculator says:Answer 22.68 m 2 23 m 2 100.0 g ÷ 23.7 cm 3 4.219409283 g/cm 3 4.22 g/cm 3 0.02 cm x 2.371 cm 0.04742 cm 2 0.05 cm 2 710 m ÷ 3.0 s 236.6666667 m/s240 m/s 1818.2 lb x 3.23 ft5872.786 lb·ft 5870 lb·ft 1.030 g ÷ 2.87 mL 2.9561 g/mL2.96 g/mL
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Sig Fig Practice #3 3.24 m + 7.0 m CalculationCalculator says:Answer 10.24 m 10.2 m 100.0 g - 23.73 g 76.27 g 76.3 g 0.02 cm + 2.371 cm 2.391 cm 2.39 cm 713.1 L - 3.872 L 709.228 L709.2 L 1818.2 lb + 3.37 lb1821.57 lb 1821.6 lb 2.030 mL - 1.870 mL 0.16 mL 0.160 mL
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Scientific Notation Converting into Sci. Notation: Move decimal until there’s 1 digit to its left. Places moved = exponent. Large # (>1) positive exponent Small # (<1) negative exponent Only include sig figs. 65,000 kg 6.5 × 10 4 kg
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Scientific Notation 2,400,000 g 0.00256 kg 7 10 -5 km 6.2 10 4 mm Practice Problems 2.4 10 6 g 2.56 10 -3 kg 0.00007 km 62,000 mm
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Scientific Notation Calculating with Sci. Notation (5.44 × 10 7 g) ÷ (8.1 × 10 4 mol) = 5.44 2 nd EE ÷ ÷ 2 nd EE ENTER 78.1 4 = 671.6049383= 670 g/mol= 6.7 × 10 2 g/mol Type on your calculator:
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Proportions Direct Proportion Inverse Proportion y x y x The quotient of two variables is a constant As the value of one variable increases, the other must also increase As the value of one variable decreases, the other must also decrease The graph of a direct proportion is a straight line The product of two variables is a constant As the value of one variable increases, the other must decrease As the value of one variable decreases, the other must increase The graph of an inverse proportion is a hyperbola
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Dimensional Analysis Steps: 1.Always start with the given quantity. 2.Identify starting & ending units. 3.Line up conversion factors so units cancel. 4.Multiply all top numbers & divide by each bottom number. 5.Check units & answer.
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Dimensional Analysis How many milliliters are in 1.00 quart of milk? 1.00 qt 1 L 1.057 qt = 946 mL qtmL 1000 mL 1 L
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Dimensional Analysis You have 1.5 pounds of gold. Find its volume in cm 3 if the density of gold is 19.3 g/cm 3. lbcm 3 1.5 lb 1 kg 2.2 lb = 35 cm 3 1000 g 1 kg 1 cm 3 19.3 g
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