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Welcome to AP Chemistry !
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DOR: Introductory Information
What was your favorite summer event? Was the AP Chemistry summer assignment difficult for you? 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?)
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Scientific Measurements
SI Units Significant Figures
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Measurement system universal to scientists.
SI Units Measurement system universal to scientists. Measurement standards (base vs. derived) Base unit— Quantity we can MEASURE Derived unit-- Quantity provided by CALCULATION Quantities are represented by measurements. We will use the gram (g) unit a lot !!! Mass vs. weight Weight = gravitational pull on matter Derived SI Units = combine SI base units through multiplication or division. 100ml =1L, 1000 cm3 = 1 L so cm3= ml, we measure volumes a LOT in chemistry
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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
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Scientific Measurements
SI Units Significant Figures ALWAYS WRITE YOUR UNITS ON YOUR ANSWER !!!!----units provide meaning to numbers.
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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.
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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 =2 4. Final zeros are only significant if a DECIMAL POINT is added to the end of the number. Ex. 100 = 1 Ex = 3 Ex = 6 Rule #1: easiest to remember. Rule #3: people have the hardest time with, have to have BOTH conditions. **Put a check mark on significant figures. #1 Example 3 sig figs #2 Example 4, 4 sig figs #3 Example 2 sig. figs.
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Examples 1) 567 2) 3) 4) 200 **Remember to put a check mark on significant figures. 2 5 1
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Significant Figures: Adding/Subtracting
# of digits to RIGHT of decimal = # of digits RIGHT of decimal from number with the LEAST digits. Ex kg kg = 75.3 kg Ex g – g = 10.62 g
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Significant Figures: Multiplying/Dividing
# of significant figures = # of significant figures in number with LEAST significant figures. Ex / 3.1 = ~ 3.9 Ex * = ~ 56.2
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Significant Figure Practice---If Necessary
1) ) 804.5 2) ) 3) ) 1002 4) ) 5) ) g / 4.13 cm3 = 11) = ) 2.0 * 4.35 = 13) ) 31400 15) 3500 ) 5 ) 6 ) 4 ) 6 ) 4.35 g/cm3 11) ) 8.7 13) ) 3 15) 2
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Dimensional Analysis
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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?”
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KNOW 2.54 cm = 1 inch
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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 2.95 x 109 knots
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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?
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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
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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
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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)
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Example 4: Volume of 2.56 cm3 convert to m3
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Temperature Conversions
°F = 1.8 (T°C) + 32 °K = T°C
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Accuracy How close measurements are to the true/accepted value.
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Precision How close measurements are to each other.
These measurements are not necessarily accurate.
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Percent Error % Error =(True – Experimental/True)x 100
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
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Percent Error Problems
1) True value = 21.2g, Measured value = 17.7g 2) True value = 4.15ml, Measured value = 4.26 ml. 17% 2) 2.7%
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Density and SI Units
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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
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Example 1: A student records V1= 2. 7ml and V2= 3
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? 4.3 g/ml
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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?
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Example 3: A metallic sphere has a diameter of 0
Example 3: A metallic sphere has a diameter of inches and a mass of ounces. What is the density of this object, in units of g/cm3? 2.72 g/cm3
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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 = 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.
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Ex. 1 A solid object has a mass of 3. 04 kilograms and a volume of 3
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? Density = g/ml Specific gravity = 0.101
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Ex. 2 Phosphorus trifluoride is present at STP conditions
Ex. 2 Phosphorus trifluoride is present at STP conditions. What is its density and specific gravity? 3.93 g/L = density Specific gravity = 3.05
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Homework Nitrogen dioxide density = 2.05 g/L Specific gravity = 1.59
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