Welcome to AP Chemistry ! DOR: Introductory Information 1) What was your favorite summer event? 2) Was the AP Chemistry summer assignment difficult for you? 3) As a review, what should I know about you so I can help you succeed in AP Chemistry? (ie. What learning methods are best for you?) Scientific Measurements • SI Units • Significant Figures SI Units • Measurement system universal to scientists. • Measurement standards (base vs. derived) • Base unit— • Quantity we can MEASURE • Derived unit-• Quantity provided by CALCULATION SI Units (cont.) Base • Mass = kilogram (kg) • Length = Meter (m) • Time = Second (s) • Temperature = Kelvin (°K) Derived • Volume = m3, we will use cm3/ml • ml is NOT an SI unit (1ml = 1cm3) • Density = kg/m3, we will use g/cm3 or g/ml Scientific Measurements • SI Units • Significant Figures • ALWAYS WRITE YOUR UNITS ON YOUR ANSWER !!!!----units provide meaning to numbers. Significant Figures • The number of digits in a scientific measurement known with certainty and one estimated or uncertain digit. • Method of reporting scientific measurements and calculations. Significant Figure Basic Rules • 1. All numbers that are NOT zeroes are significant • Ex. 211, 345 =3 • 2. All zeroes BETWEEN 2 significant figures are significant. • Ex. 2003, 1203 = 4 • 3. All zeros that are FINAL and PAST a decimal are significant. • Ex. 0.00020 =2 • 4. Final zeros are only significant if a DECIMAL POINT is added to the end of the number. • Ex. 100 = 1 • Ex. 100. = 3 • Ex. 100.000 = 6 Examples • 1) 567 • 2) 0.00022 • 3) 10.020 • 4) 200 Significant Figures: Adding/Subtracting • # of digits to RIGHT of decimal = # of digits RIGHT of decimal from number with the LEAST digits. • Ex.1 67.14 kg + 8.2 kg = • 75.3 kg • Ex. 2 101.23 g – 90.614 g = • 10.62 g Significant Figures: Multiplying/Dividing • # of significant figures = # of significant figures in number with LEAST significant figures. • Ex. 1 12.1 / 3.1 = • 3.870967742 ~ 3.9 • Ex. 2 45.67 * 1.23 = • 56.1741 ~ 56.2 Significant Figure Practice---If Necessary • • • • • • • • 1) 900 6) 804.5 2) 1020 7) 0.0144030 3) 0.00020 8) 1002 4) 100034 9) 0.000625000 5) 0.00010010 10) 17.982 g / 4.13 cm3 = 11) 12.4 + 1.345 = 12) 2.0 * 4.35 = 13) 20500. 14) 31400 15) 3500 Dimensional Analysis Dimensional Analysis • Method of converting one unit to another • Conversion factor—ratio relationship between 2 units • Write units, BE SURE THEY CANCEL ! ! ! • “Where are we starting? Where are we trying to go?” • KNOW • 2.54 cm = 1 inch Example 1: • Science fiction often uses nautical analogies to describe space travel. If the starship U.S.S. Enterprise is traveling at warp factor 1.71, what is its speed in knots? • 1.71 Warp = 5.00 times the speed of light • Speed of light = 3.00x108 m/s • 1 knot = 2000 yd/h exactly Example 2: • Apothecaries use the following set of measures in the English system: • • • • 20 grains ap = 1 scruple 2 scruples = 1 dram ap 8 dram ap = 1 oz. ap 1 dram ap = 3.888g • What is the mass of 1 scruple in grams? Example 3: • BMI is a measurement to determine if a person is obese. A BMI > 25 is considered overweight. Calculate the BMI for a 100 lb person with a height of 52 inches. Is this person overweight? • Hint: Do conversion factors FIRST, then cancel units Conversion Factors: In Detail • = 1 value • 12 inches = 1 ft. • 2.54 cm = 1 inch • 5280 ft. = 1 mile • SO • (12 inches = 1 ft.) 3 = 13 = 1 same conversion factor In Detail Cont. • Use same conversion factor but raise the factor to the correct power for conversion. • Cubic inches to ft3 • (12 inches = 1 ft)3 • When converting between squared and cubic units (m2 to cm2 /m3 to cm3) Example 4: • Volume of 2.56 cm3 convert to m3 Temperature Conversions • °F = 1.8 (T°C) + 32 • °K = 273 + T°C Accuracy • How close measurements are to the true/accepted value. Precision • How close measurements are to each other. • These measurements are not necessarily accurate. Percent Error • How much error you have in your lab measurements. • Comparison between your experimental value/measurement to the true/accepted value. % Error =(True – Experimental/True)x 100 Percent Error Problems • 1) True value = 21.2g, Measured value = 17.7g • 2) True value = 4.15ml, Measured value = 4.26 ml. Density and SI Units Density • Physical property of matter/substances • Used for substance identification • Provides information on how solids/liquids interact • Ratio of a substance’s mass and volume • Density = Mass/Volume • Units = SI Unit (kg/m3), we will use g/cm3 or g/ml Example 1: A student records V1= 2.7ml and V2= 3.4 ml after placing an object in a graduated cylinder. The mass of an empty beaker is 1.13g and the mass of both the beaker and substance is 4.13g. What is the object’s density? Example 2: It has been estimated that there are 4 x 10-6 mg of gold per liter of sea water. At a price of $22.30 per gram of gold, what would be the value of gold in 1.00 cubic kilometers of the ocean? Example 3: A metallic sphere has a diameter of 0.200 inches and a mass of 0.0066 ounces. What is the density of this object, in units of g/cm3? Specific Gravity • Removes gravitational influence on a weighed object, density should not vary with weight ! • Ratio of density of substance/density of reference • = Dsubstance/Dreference • Liquids/solids, Dwater = 1.000 g/ml at 3.98°C (decreases with increase/decrease in temperature) • Gases, Dair = 1.29 g/L • At STP (1 atm, 0°C), 1 mole of gas = 22.4 L SO density can be calculated with molecular mass of gas. Ex. 1 A solid object has a mass of 3.04 kilograms and a volume of 3.0 x 104 cm3. What is the density and specific gravity of the solid object? Ex. 2 Phosphorus trifluoride is present at STP conditions. What is its density and specific gravity? Homework • Read pp. 7-22 • Problems pp. 28-30 # 31, 37, 39-41, 42(b,c), 47, 49-50, 53, 5963, 71 • DUE MONDAY!!!