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CH104 CHEMISTRY FOR ALLIED HEALTH

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1 CH104 CHEMISTRY FOR ALLIED HEALTH
CHEMEKETA COMMUNITY COLLEGE INSTRUCTOR: Dr. Jan Cammack

2 1st Day Stuff Who are you? Are you in the right place? GOB
Chemeketa elearn site Course Web Page Course Syllabus & requirements Who am I? Web CT Quizzes

3 CH104 Recitation & Lab: Week 1
Read through Lab 0: Safety and Lab Experiment 1: The Scientific Method Homework problems will be due each week at recitation Week 1 problems and online quiz due Tuesday

4 What is Chemistry The Scientific Method How To Study

5 Definition of Chemistry
Chemistry is the study of substances in terms of Composition What is it made of? Structure How is it put together? Properties What characteristics does it have? Reactions How does it behave with other substances?

6 Major divisions of Chemistry
General Inorganic Analytical Physical Organic Biochemistry Elements besides Carbon Methods of analysis Theory and concepts Carbon based compounds Chemistry of living things

7 Scientific Method: Thinking like a Scientist
Chemistry in Our Lives Scientific Method: Thinking like a Scientist

8 The Scientific Method Process used by scientists to explain observations. It involves making observations writing a hypothesis doing experiments proposing a theory

9 Scientific method Observe: Take notice
Hypothesize:Form an educated guess to explain your observation. Test the guess: Design an experiment. Reject or confirm the hypothesis Modify the guess or test if needed. Conclude (Propose a Theory):

10 Scientific method ? Try new tests No Observe Question Hypothesis
Experiment Try new tests No Did it work? Yes Develop a theory Do more experiments

11 Summary of the Scientific Method

12 Everyday Scientific Thinking
The sound from a CD in a CD player skips. Observation: The CD player is faulty. Hypothesis 1: Experiment 1: When the CD is replaced with another one, the sound from the 2nd CD is OK. Hypothesis 2: The original CD has a defect. Experiment 2: When I play the CD in another player, the sound still skips. Theory: My experimental results indicate that the original CD has a defect.

13 Learning Check The step of scientific method indicated in the processes below is 1) observation 2) hypothesis 3) experiment 4) theory A. A blender does not work when plugged in. B. The blender motor is broken. C. The plug has malfunctioned. D. The blender does not work when plugged into a different outlet. E. The blender needs repair.

14 Solution The step of scientific method indicated in the processes below is 1) observation 2) hypothesis 3) experiment 4) theory A. A blender does not work when plugged in. 1 B. The blender motor is broken. 2 C. The plug has malfunctioned. 2 D. The blender does not work when plugged into a different outlet E. The blender needs repair

15 A Study Plan for Learning Chemistry
Chemistry in Our Lives A Study Plan for Learning Chemistry

16 Text Features for Learning
The study features in the text include: Learning Goals indicate what to learn Concept Checks develop new concepts Sample Problems provide step-by-step problem solving models Guides to Problem Solving give directions for working out a problem

17 Studying for Chemistry
Activities that can help you learn chemistry successfully include the following: attend class regularly go to your instructor’s office hours form a study group with other students to discuss problems and their solutions study and work problems every day do not wait until the night before the test to prepare for an exam

18 Active Learning Active participation will help learn the material more quickly and with more understanding. Obtain an overview from the Looking Ahead topics. Form a question from the section title. Read the section, and answer your question. Work the Sample Problems and Study Checks. Check Answers at the end of the chapter. Proceed to the next section in the text and repeat above.

19 Learning Check Which of the following activities would be part of a successful study plan? A. staying out late the night before an exam B. reading the text before class C. working problems with a study group D. skipping the lecture 1 or 2 times a week E. discussing a problem with the instructor

20 Solution Which of the following activities would be part of a successful study plan? A. (No) staying out late the night before an exam B. (Yes) reading the text before class C. (Yes) working problems with a study group D. (No) skipping lecture 1 or 2 times a week E. (Yes) discussing a problem with the instructor

21 Conversion Calculations
Chapter 1: Measurement Units of Measurement Scientific Notation Significant Figures Conversion Calculations Density

22 Chapter 1 Measurements 1.1 Units of Measurement

23 Measurements in chemistry
Units are important has little meaning, just a number 45,000 has some meaning - money $45,000 more meaning - person’s salary $45,000/yr

24 Measurements in chemistry
English units. Still commonly used in daily life. For Example: Common English measures of volume 1 tablespoon = 3 teaspoons 1 cup = tablespoons 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 peck = 2 gallons 1 bushel = pecks Not often used in scientific work

25 Units of Measurement Metric SI Common Conversions Length
meter (m) meter (m) 1 m = 100 cm = 1000 mm 1 m = 1.09 yd 2.54 cm = 1 in

26 Units of Measurement Metric SI Common Conversions Length Volume
meter (m) meter (m) 1 m = 100 cm = 1000 mm 1 m = 1.09 yd 2.54 cm = 1 in liter (L) cubic meter (m3) 1 L = 1000 mL 1 L = 1.06 qt 946 mL = 1 qt

27 Units of Measurement Metric SI Common Conversions Length Volume Mass
meter (m) meter (m) 1 m = 100 cm = 1000 mm 1 m = 1.09 yd 2.54 cm = 1 in liter (L) cubic meter (m3) 1 L = 1000 mL 1 L = 1.06 qt 946 mL = 1 qt gram (g) Kilogram (kg) 1 kg = 1000 g 1 kg = 2.20 lb 454 g = 1 lb

28 Mass: Mass Vs. Weight Weight: The amount of material in an object
Mass (in g’s) of a 1L Bowling Ball > a 1 L Balloon Weight: Pull of Gravity on an object. Weight of Person on Earth > Person on Moon Matter: The stuff things are made of. Has Mass and takes up space. Mass: The amount of stuff. Usually measured in grams. Bowling ball has more mass than Weight on earth.

29 How much would you weigh
Mass Vs. Weight How much would you weigh on another planet?

30 Units of Measurement Metric SI Common Conversions Length Volume Mass
Time Temp meter (m) meter (m) m = 1.09 yd 2.54 cm = 1 in liter (L) cubic meter (m3) 1 L = 1.06 qt 946 mL = 1 qt gram (g) Kilogram (kg) kg = 2.20 lb second (s) second (s) s = 1 min Celsius (oC) Kelvin (K) oC = (oF-32)/1.8 K = oC + 273

31 Learning Check 1) length, 2) mass, or 3) volume.
For each of the following, indicate whether the unit describes 1) length, 2) mass, or 3) volume. ____ A. A bag of tomatoes is 4.5 kg. ____ B. A person is 2.0 m tall. ____ C. A medication contains 0.50 g of aspirin. ____ D. A bottle contains 1.5 L of water.

32 Solution 2 1 2 3 1) length, 2) mass, or 3) volume.
For each of the following, indicate whether the unit describes 1) length, 2) mass, or 3) volume. ____ A. A bag of tomatoes is 4.5 kg. ____ B. A person is 2.0 m tall. ____ C. A medication contains 0.50 g of aspirin. ____ D. A bottle contains 1.5 L of water. 2 1 2 3

33 Learning Check Identify the measurement that has an SI unit.
A. John’s height is _____. 1) 1.5 yd 2) 6 ft 3) 2.1 m B. The race was won in _____. 1) s 2) min 3) 3.5 h C. The mass of a lemon is _____. 1) 12 oz 2) kg 3) lb D. The temperature is _____. 1) 85 °C 2) 255 K 3) 45 °F

34 Solution Identify the measurement that has an SI unit.
A. John’s height is _____. 1) 1.5 yd 2) 6 ft 3) 2.1 m B. The race was won in _____. 1) s 2) min 3) 3.5 h C. The mass of a lemon is _____. 1) 12 oz 2) kg 3) lb D. The temperature is _____. 1) 85 °C 2) 255 K 3) 45 °F

35 Chapter 1 Measurements 1.2 Scientific Notation

36 Scientific notation If a number is larger than 1 Move decimal point X places left to get a number between 1 and 10. , , = x 108 The resulting number is multiplied by 10X.

37 If a number is smaller than 1
Scientific notation If a number is smaller than 1 Move decimal point X places right to get a number between 1 and 10. = x 10-7 The resulting number is multiplied by 10-X.

38 Examples Write in Scientific Notation: = = = = 3, = 2.5 x 10 1 x 10 3 5.93 x 4 x 3.210 x 103

39 Scientific notation 1.44939 x 10-2 = 0.0144939
On Calculator (-) 2 EE E-2 x 10 Means x 10 Change Sign

40 Practice: Scientific Notation
Write 4.2 x 103 in regular numerical format. 4200 Write 35,500 in scientific notation. 3.55 x 104 Write x 10-2 in regular format. Write in scientific notation. 9.6 x 10-4

41 Learning Check Select the correct scientific notation for each.
A m 1) 8 x 108 m 2) 8 x 10-8 m ) 0.8 x 10-7 m B L 1) 7.2 x 104 L 2) 72 x 103 L ) 7.2 x 10-4

42 Solution Select the correct scientific notation for each.
A m 1) 8 x 108 m 2) 8 x 10-8 m ) 0.8 x 10-7 m B L 1) 7.2 x 104 L 2) 72 x 103 L ) 7.2 x 10-4

43 Learning Check Write each as a standard number. A. 2.0 x 10-2 s
1) 200 s 2) s 3) s B x 105 g 1) g 2) g 3) g

44 Solution Write each as a standard number. A. 2.0 x 10-2 s
1) 200 s 2) s 3) s B x 105 g 1) g 2) g 3) g

45 Review: Exponents Multiplication Add Exponents (10X )( 10Y) = 10X+Y
(102 )( 103) = = 105 (10)(10) (10)(10)(10) = 100,000 1 - 47 1997, West Educational Publishing.

46 Review: Exponents Division (103) Subtract Exponents (10Y)
(10X) = 10X-Y (10Y) (102) = 102-(3) = 10-1 (103) (10)(10) = = = 0.1 (10)(10)(10) (10)

47 1.3 Measured Numbers and Significant Figures
Chapter 1 Measurements 1.3 Measured Numbers and Significant Figures

48 Measured & Exact Numbers
from counting or by definition 12 coins per package 12 coins 1 package 1 package 12 coins = 12 coins 1 dozen coins 1 dozen coins 12 coins =

49 Examples of Exact Numbers
when objects are counted from numbers in a defined relationship

50 Measured & Exact Numbers
Measured Numbers = estimated using a tool All measurements contain some uncertainty. We make errors Tools have limits

51 Accuracy Precision Consistency How close are we to the true value?
Truth How well do our values agree? Consistency

52 Accuracy and precision
Our goal! Truth and Consistency Values we can trust.

53 Length of object is between 6.7 and 6.8
Significant figures Length of object is between 6.7 and 6.8 The next digit would be a guess.             If use 6.76 then have error of cm and have 3 significant figures.

54 Significant figures Expresses accuracy & precision.
You can’t report values more accurate than the methods of measurement used . 6.76 units = 3 significant figures Certain Digits Uncertain Digit

55 Learning Check . l8. . . . l . . . . l9. . . . l . . . . l10. . cm
What is the length of the red line? 1) 9.0 cm 2) cm 3) cm

56 Solution The length of the red line could be reported as 2) cm or 3) cm The estimated digit may be slightly different. Both readings are acceptable. . l l l l l cm

57 Meniscus is between 8.4 and 8.5 The next digit would be a guess.
Significant figures Meniscus is between 8.4 and 8.5 The next digit would be a guess. We can estimate the value to be 8.45 mL but cannot be more accurate than that. 8.45 has 3 sig figs.

58 Significant figures 3 Sig Figs
Sig Figs don’t depend on the decimal point. 255 millimeters 25.5 centimeters 2.55 decimeters 0.255 meters decameters 3 Sig Figs

59 Significant figures: Rules for zeros
Leading zeros are not significant. 3 sig figs Leading zero Captive zeros are significant. 4012 4 sig figs Captive zero Trailing zeros behind decimal are significant. 114.20 5 sig figs Trailing zero

60 Significant figures: Rules for zeros
32,000 Are the 0’s significant? 2 sig figs = 3 sig figs = 4 sig figs = 5 sig figs = 3.2 x 104 3.20 x 104 3.200 x 104 x 104 32,000.

61 Significant figures: Rules for zeros
1025 km 2.00 mg 520 Four (Captive zeros are significant) Three (trailing zeros behind decimal are significant) Three (only trailing zero behind decimal is significant, leading zeros are not) Two (No decimal, zero assumed insignif)

62 Significant Figures in Scientific Notation
All digits, including zeros in the coefficient, are significant. Scientific Notation Number of Significant Figures___________ 8 x 104 m 8.0 x 104 m 8.00 x 104 m 1 2 3

63 Learning Check State the number of significant figures in each of the following measurements: A m B L C g D m

64 Solution State the number of significant figures in each of the following measurements: A m B L C g D m 2 4 1 3

65 Learning Check A. Which answer(s) contains 3 significant figures?
1) ) ) x 103 B. All the zeros are significant in 1) ) ) x 103 C. The number of significant figures in 5.80 x 102 is 1) one 3) two 3) three

66 Solution A. Which answer(s) contains 3 significant figures?
1) ) ) x 103 B. All the zeros are significant in 1) ) ) x 103 C. The number of significant figures in 5.80 x 102 is 1) one 3) two 3) three

67 Learning Check In which set(s) do both numbers contain the same number of significant figures? 1) and 22.00 2) and 4.00 x 102 3) and

68 Both numbers contain two (2) significant figures.
Solution In which set(s) do both numbers contain the same number of significant figures? 1) and 22.00 2) and 4.00 x 102 3) and Both numbers contain two (2) significant figures.

69 Learning Check 1. using a measuring tool 2. counting 3. definition
A. Exact numbers are obtained by 1. using a measuring tool 2. counting 3. definition B. Measured numbers are obtained by

70 Solution 1. using a measuring tool 2. counting 3. definition
A. Exact numbers are obtained by 1. using a measuring tool 2. counting 3. definition B. Measured numbers are obtained by

71 Learning Check Classify each of the following as exact (E) or
measured (M) numbers. Explain your answer. A. __ Gold melts at 1064 °C. B. __ 1 yard = 3 feet C. __ The diameter of a red blood cell is 6 x 10-4 cm. D. __ There are 6 hats on the shelf. E. __ A can of soda contains 355 mL of soda.

72 Solution M E M E M Classify each of the following as exact (E) or
measured (M) numbers. Explain your answer. A. __ Gold melts at 1064 °C. B. __ 1 yard = 3 feet C. __ The diameter of a red blood cell is 6 x 10-4 cm. D. __ There are 6 hats on the shelf. E. __ A can of soda contains 355 mL of soda. M E M E M

73 1.4 Significant Figures in Calculations
Chapter 1 Measurements 1.4 Significant Figures in Calculations

74 1st insignificant digit
Rounding Sometimes a calculated answer shows too many significant digits so we need to round. Write with 4 Significant Figures: 5 becomes > 5 round up < 5 round down. 1st insignificant digit 4 becomes

75 Adding Significant Zeros
Sometimes a calculated answer requires more significant digits so we need to add zeros. Zeros added to give 3 significant figures Calculated answer 4 1.5 0.2 12 4.00 1.50 0.200 12.0

76 Learning Check Adjust the following calculated answers to give
answers with three significant figures. A cm B g C L

77 Solution Adjust the following calculated answers to give
answers with three significant figures. A cm B g C L First digit dropped is greater than 4. 825 cm 0.112 g First digit dropped is 4. 8.20 L Significant zero is added.

78 Significant figures and calculations
An answer can’t have greater significance than the quantities used to produce it. Example How fast did you run if you went 1.00 km in 3.0 minutes? speed = 1.00 km 3.0 min = ?

79 Simplified rules for significant figures
Multiplication & Division Problems: Do calculations. speed = 1.00 km 3.0 min = km min 3 sig figs Look at sig figs for each value in calculation. (Constants don’t count.) 2 sig figs Report answer with same sig figs as least significant value. = 0.33 km min Round off as needed.

80 Practice: Significant Figures in Calculations
The measurement containing the fewest significant figures determines the number of significant figures in the answer. Example 1: m x 0.2 m = 0.56 = 0.6 m2 Example 2: mi / 3.2 hr = = 79 mi/hr

81 Simplified rules for significant figures
Addition & Subtraction Problems: Do calculations. Significant to .1 1.9 20.55 Significant to .01 Look at least significant place for each value in calculation. Report answer to least significant place. = 20.6 Round off as needed. Significant to .1

82 Add & Sub mixed w/ Mult & Div Problems:
Do Addition & Subtraction calculations 1st. 3 sig figs (after addition) ( ) = 2.153 ( ) = 2.153 4 sig figs Make note of the least significant place.

83 Add & Sub mixed w/ Mult & Div Problems:
Do Multiplication & Division calculations. 3 sig figs (after addition) ( ) = 2.153 ( ) = 2.153 4 sig figs 9.54 Round to least # sig fig.

84 Learning Check Give an answer for the following with the correct number of significant figures: A x 4.2 = 1) ) ) B ÷ = 1) ) ) 60 C x = x 0.060 1) ) )

85 Solution Give an answer for the following with the correct number of significant figures: A x 4.2 = 1) ) ) B ÷ = 1) ) ) 60 C x = x 0.060 1) ) ) 2.54 x   = = = 11 (rounded)

86 Learning Check For each calculation, round the answer to give the correct number of decimal places. A = 1) 257 2) 3) B – 18.2 = 1) 2) 3) 40.7

87 Solution For each calculation, round the answer to give the correct number of decimal places. A = 1) 257 2) 3) B – 18.2 = 1) 2) 3) 40.7 235.05 +19.6 + 2 rounds to 257 58.925 –18.2 rounds to 40.7

88 1.5 Prefixes and Equalities
Chapter 1 Measurements 1.5 Prefixes and Equalities

89 Prefixes A prefix in front of a unit increases or decreases the size of that unit by one or more factors of 10 indicates a numerical value Prefix Value 1 kilometer = 1000 meters 1 kilogram = 1000 grams

90 Metric prefixes 1,000 = (103) 1km = 1,000 m 0.1 = (10-1) 1m = 10 dm
Prefix (Symbol) Factor (multiple) Common Conversion mega (M) kilo (k) deci (d) centi (c) milli (m) micro (m) nano (n) 1,000,000 = (106) 1Mm = 1,000,000 m 1,000 = (103) km = 1,000 m 0.1 = (10-1) m = 10 dm 0.01 = (10-2) m = 100 cm 0.001 = (10-3) m = 1,000 mm = (10-6) 1m = 1,000,000 mm 0.000,000,001 = (10-9) 1m = 1,000,000,000 nm

91 Metric and SI Prefixes

92 Metric and SI Prefixes (continued)

93 Learning Check Indicate the unit that matches the description:
1. a mass that is 1000 times greater than 1 gram 1) kilogram 2) milligram 3) megagram 2. a length that is 1/100 of 1 meter 1) decimeter 2) centimeter 3) millimeter 3. a unit of time that is 1/1000 of a second 1) nanosecond 2) microsecond 3) millisecond

94 Solution Indicate the unit that matches the description:
1. a mass that is 1000 times greater than 1 gram 1) kilogram 2) milligram 3) megagram 2. a length that is 1/100 of 1 meter 1) decimeter 2) centimeter 3) millimeter 3. a unit of time that is 1/1000 of a second 1) nanosecond 2) microsecond 3) millisecond = 0.01 of 1 meter = of a sec

95 Learning Check Select the unit you would use to measure A. your height
1) millimeters 2) meters 3) kilometers B. your mass 1) milligrams 2) grams 3) kilograms C. the distance between two cities D. the width of an artery

96 Solution Select the unit you would use to measure A. your height
1) millimeters 2) meters 3) kilometers B. your mass 1) milligrams 2) grams 3) kilograms C. the distance between two cities D. the width of an artery

97 Metric Equalities States the same measurement in two different units
Length: 1 meter is the same as 100 cm or 1000 mm. 1 m = cm 1 m = mm Volume: 1 L is the same as 1000 cm3. 1 L = cm X 10cm X 10 cm 1 L = mL Mass: 1 kg = 1000 g 1 g = 1000 mg 1 mg = g 1 mg = µg

98 Learning Check Indicate the unit that completes each of the following
equalities: A m = 1) 1 mm 2) 1 km 3) 1dm B g = 1) 1 mg 2) 1 kg 3) 1dg C s = 1) 1 ms 2) 1 cs 3) 1ds D m = 1) 1 mm 2) 1 cm 3) 1dm

99 Solution Indicate the unit that completes each of the following
equalities: A m = 1) 1 mm 2) 1 km 3) 1dm B g = 1) 1 mg 2) 1 kg 3) 1dg C s = 1) 1 ms 2) 1 cs 3) 1ds D m = 1) 1 mm 2) 1 cm 3) 1dm

100 Learning Check Complete each of the following equalities:
A. 1 kg = 1) 10 g 2) 100 g 3) g B. 1 mm = 1) m 2) m 3) 0.1 m

101 Solution Complete each of the following equalities:
A. 1 kg = 1) 10 g 2) 100 g 3) g B. 1 mm = 1) m 2) m 3) 0.1 m

102 Writing Conversion Factors
Chapter 1 Measurements 1.6 Writing Conversion Factors

103 Measurements in chemistry
See Handout Sheet of Common conversion factors & Handout of Conversion Problems

104 Some Common Equalities

105 Learning Check Write equalities and conversion factors for each pair of units: A. liters and mL B. hours and minutes C. meters and kilometers

106 Solution Write equalities and conversion factors for each pair of units: A. liters and mL B. hours and minutes C. meters and kilometers Equality: 1 L = mL 1 L and mL 1000 mL L Equality: 1 hr = 60 min 1 hr and min 60 min hr Equality: 1 km = 1000 m 1 km and m 1000 m km

107 Learning Check Write the equality and conversion factors for each of the following: A. meters and centimeters B. jewelry that contains 18% gold C. one liter of gas is $ 0.95

108 Solution A. meters and centimeters 1 m and 100 cm 100 cm 1 m
B. jewelry that contains 18% gold 18 g gold and 100 g jewelry 100 g jewelry g gold C. one liter of gas is $0.95 1 L and $0.95 $ L

109 Chapter 1 Measurements 1.7 Problem Solving

110 Conversion of units Example: Metric Conversion 1 kg = 1 1000 g
How many milligrams (mg) are in 5 kilograms (kg)? Factor label method Identify your conversions factors. 1 kg = 1 1000 g 1000 mg = 1 1 g 1000 g = 1 1 kg 1 g = 1 1000 mg

111 unique Example: Metric Conversion 5 kg = mg
How many milligrams are in 5 kilograms? Identify what is to the problem. unique 5 kg = mg Identify how you want the answer to look.

112 Example: Metric Conversion
How many milligrams are in 5 kilograms? Multiply by conversion factors until units cancel. 5 kg 1 1000 g 1 kg 1000 mg 1 g = mg 5,000,000 If the words work, the numbers will work.

113 Example: Metric Conversion
How many decimeters are there in 5.5 meters? How many meters are there in 25 centimeters?

114 Practice : Metric Conversion
How many meters are in 3 kilometers? 3000 m = 3 km How many milliliters are in 0.5 liters? 500 mL = 0.5 L How many grams are in 2.5 kg? 2500 g = 2.5 kg How many millimeters are in 1 meter? 1000 mm = 1 m

115 Example: English Conversion
How many teaspoons in a barrel of oil? 1 barrel of oil = gallons 1 gallon = 4 quarts 1 quart = 4 cups 1 cup = 16 tablespoons 1 tablespoon = teaspoons 32,256 1 bal 42 gal 1 bal 4 qt 1 gal 4 cup 1 qt 16 Tbl 1 cup 3 tsp 1 Tbl = tsp 32,000 tsp

116 Practice: English-Metric Conversion
454 g = 1 lb 1 L = 1.06 qt cm = 1 in How many grams are there in 125 pounds? How many inches are there in 8.7 meters?

117 Example: English-Metric Conversion
You have a pen of rats each with an average weight of 0.75 lb. How much rubbing alcohol will it take to kill ½ of the population if the LD50 is mg/kg ? Identify your conversions factors. 1 kg Bw = 1 5000 mg Alc 1.0 kg Bw = 1 2.2 lb Bw 5000 mg Alc = 1 1 kg Bw 2.2 lb Bw = 1 1.0 kg Bw

118 Example: English-Metric Conversion
You have a pen of rats each with an average weight of 0.75 lb. How much rubbing alcohol will it take to kill ½ of the population if the LD50 is mg/kg ? Identify what is unique to the problem. 1.0 kgBW 2.2 lbBW 5000. mgAlc 1 kg BW 0.75 lbBW = mgAlc 1700 mg = 1.7 x 103 Identify how you want the answer to look.

119 Example: How many minutes are 2.5 h? Given (unique) = 2.5 h
Needed unit = ? min Plan = h  min Set up problem to cancel hours (h). Given Conversion Needed unit factor unit 2.5 h x 60 min = 150 min (2 SigFigs) 1 h

120 Learning Check A rattlesnake is 2.44 m long. How many centimeters long is the snake? 1) cm 2) 244 cm 3) cm

121 Solution Given (Unique) unit: 2.44 m Needed unit: cm Plan: m  cm
Equality: 1 m = 100 cm Factors: m and cm 100 cm m Set up problem: 2.44 m x cm = cm (answer 2) 1 m

122 Example: How many minutes are 1.6 days? Given (unique) = 1.6 days
Needed unit = ? min Plan = days  hours  min Set up problem to cancel hours (h). 1.6 days x 24 hrs x 60 min = 1 day hr 2300 min = 2.3 x 103 2 SigFigs Exact Exact = SigFigs

123 Check the Unit Cancellation
Be sure to check your unit cancellation in the setup. The units in the conversion factors must cancel to give the correct unit for the answer. Example: What is wrong with the following setup? 1.4 day x 1 day x h 24 h min Units = day2/min, which is not the unit needed Units don’t cancel properly. Therefore, setup is wrong.

124 Learning Check A bucket contains 4.65 L of water. How many
gallons of water is that? Given: 4.65 L Need: gal Plan: L  qt  gal Equalities: 1.06 qt = 1 L 1 gal = 4 qt

125 Solution Given : 4.65 L Need: gal Plan: L  qt  gallon
Equalities: 1.06 qt = 1 L; 1 gal = 4 qt Set up problem: 4.65 L x qt x 1 gal = gal 1 L qt 3 SF SF exact SF

126 Learning Check If a ski pole is 3.0 feet in length, how long is the ski pole in mm?

127 Solution Given: 3.0 ft Need: mm Plan: ft  in.  cm  mm
Equalities: 1 ft = 12 in cm = 1 in. 1 cm = 10 mm Set up problem: 3.0 ft x 12 in. x cm x 10 mm = 910 mm 1 ft in cm Check initial unit: ft Check needed unit: mm Check factor setup: units cancel properly (2SigFigs, rounded)

128 Learning Check If your pace on a treadmill is 65 meters per minute,
how many minutes will it take for you to walk a distance of 7500 feet?

129 Solution Given: 7500 ft, 65 m/min Need: min Plan: ft in. cm m min
Equalities: 1 ft = 12 in in. = 2.54 cm 1 m = 100 cm 1 min = 65 m (walking pace) Set up problem: 7500 ft x 12 in. x cm x 1m x 1 min 1 ft in. 100 cm m = 35 min (2SF)

130 Learning Check How many pounds (lb) of sugar are in 120 g of candy if the candy is 25% (by mass) sugar?

131 Solution How many pounds (lb) of sugar are in 120 g of candy if the candy is 25% (by mass) sugar? percent factor 120 g candy x 1 lb candy x 25 lb sugar 454 g candy lb candy = lb of sugar

132 Percentages Part x 100 = % Whole ___ 100 13 males x 100 = 37.1429 %
Secret code for 13 males x 100 = % 35 Students 37% male

133 Percentages as Conversion Factors
Example: The population of the automotive repair course is 37% male. Of the 75 students in the class how many are men? 37 male 100 students 37% male = Secret code for 100 students 37 male

134 Percentages as Conversion Factors
Example: The population of the automotive repair course is 37% male. Of the 75 students in the class how many are men? Identify what is to the problem. unique 75 students 1 37 males 100 students = males 27.75 28 males Identify how you want the answer to look.

135 Percentages Part x 100 = Whole % ___ 100 10 % Alcohol = 100 mL
Secret code for 10 % Alcohol = 100 mL 10 mL Alcohol Solution

136 Percentages as Conversion Factors
Example: An athlete normally has 15 % body fat. How many lbs of fat does a 74 kg athlete have? 15 lb Fat 100 lb BW 15% Body Fat = Secret code for 100 lb BW 15 lb Fat

137 Percentages as Conversion Factors
Example: An athlete normally has 15 % body fat. How many lbs of fat does a 74 kg athlete have? Identify what is to the problem. unique 15 lb Fat 100 lb BW 74 KgBw 2.2 lbBw 1.0 KbBw = lb fat 24.42 24 lb fat Identify how you want the answer to look.

138 Learning Check: If the thickness of the skin fold at the
waist indicates an 11% body fat, how much fat is in a person with a mass of 86 kg?

139 Solution: If the thickness of the skin fold at the
waist indicates an 11% body fat, how much fat is in a person with a mass of 86 kg? 11% body fat means kg fat 100 kg 86 kg x kg fat = 9.5 kg of fat

140 Chapter 1 Measurements 1.8 Density

141 Density Density = At 4 o C Mass Volume g Water 1.0 Urine 1.01 - 1.03
1cc = 1 cm3 = 1 ml = 1 g water g cm3 g ml At 4 o C or Water Urine Air Bone Gold Gasoline

142 Densities of Common Substances

143 Example. Density calculation
What is the density of 5.00 ml of serum if it has a mass of grams? d = m V d = g 5.00 ml = g ml

144 Guide to Calculating Density
d = m V

145 Learning Check Osmium is a very dense metal. What is its density in g/cm3 if 50.0 g of osmium has a volume of 2.22 cm3? 1) g/cm3 2) g/cm3 3) 111 g/cm3

146 Solution Given: mass = 50.0 g ,volume = 22.2 cm3 Need: Density
Plan: Place the mass and volume of the osmium metal in the density expression. D = mass = g volume cm3 Calculator = g/cm3 Final answer (2 SF) = g/cm3

147 Practice: Density The mass of a mL sample of a liquid is found to weigh grams. What is the density of the liquid? The specific gravity equals 1.09 and as a ratio, has no units.

148 Practice: Density The mass of a cm3 sample of gold is found to weigh grams. What is the density of the liquid? (1.00mL = 1.00cm3)

149 Volume by Displacement
A solid completely submerged in water displaces its own volume of water. The volume of the solid is calculated from the volume difference. 45.0 mL – mL = 9.5 mL = 9.5 cm3

150 Density Using Volume Displacement
The density of the zinc object is calculated from its mass and volume. mass = g = 7.2 g/cm3 volume cm3

151 Learning Check What is the density (g/cm3) of 48.0 g of a metal if the level of water in a graduated cylinder rises from 25.0 mL to 33.0 mL after the metal is added? 1) g/cm3 2) 6.0 g/cm ) 380 g/cm3 33.0 mL 25.0 mL object

152 Solution Given: 48.0 g Volume of water = 25.0 mL
Volume of water + metal = 33.0 mL Need: Density (g/cm3 ) Plan: Calculate the volume difference. Change to cm3, and place in density expression. 33.0 mL – mL = mL 8.0 mL x 1 cm3 = cm3 1 mL Set up problem: Density = g = g = 6.0 g/cm3 8.0 cm cm3 (2 SF)

153 Sink or Float Ice floats in water because the density of ice is less than the density of water. Aluminum sinks in water because its density is greater than the density of water.

154 Learning Check K W V V W K W V K
Which diagram correctly represents the liquid layers in the cylinder? Karo (K) syrup (1.4 g/mL), vegetable (V) oil (0.91 g/mL), water (W) (1.0 g/mL) K W V V W K V W K

155 Solution V W K vegetable oil (0.91 g/mL) water (1.0 g/mL)
1) vegetable oil (0.91 g/mL) water (1.0 g/mL) Karo syrup (1.4 g/mL) V W K

156 Density as a Conversion
A liquid sample with a density of 1.09 g/mL is found to weigh grams. What is the volume of the liquid in mLs? Identify any conversion factors. What is unique to the problem? 7.453 g 1 ml 1.09 g = ml = 6.84 ml How should the answer look? 1.09 g 1 ml 1 ml 1.09 g

157 Learning Check The density of octane, a component of gasoline, is g/mL. What is the mass, in kg, of 875 mL of octane? 1) kg 2) 614 kg 3) kg

158 Solution The density of octane, a component of gasoline, is g/mL. What is the mass, in kg, of 875 mL of octane? 1) kg 2) 614 kg 3) kg Given: D = g/mL V = 875 mL Need: kg Plan: mL  g  kg Equalities: density g = 1 mL and 1 kg = g Set up problem: mL x g x 1 kg = kg 1 mL g

159 Learning Check If olive oil has a density of 0.92 g/mL, how many liters of olive oil are in 285 g of olive oil? 1) L 2) L 3) 310 L

160 Solution If olive oil has a density of 0.92 g/mL, how many liters of olive oil are in 285 g of olive oil? 1) L 2) L 3) 310 L Given: D = g/mL mass = 285 g Need: volume in L Plan: g  mL  L Equalities: 1 mL = g L = mL Set up: 285 g x 1 mL x L = L 0.92 g mL density metric factor factor

161 Learning Check A group of students collected 125 empty aluminum cans to take to the recycling center. If 21 cans contain 1.0 lb of aluminum, how many liters of aluminum (D = g/cm3) are obtained from the cans? 1) 1.0 L 2) 2.0 L 3) 4.0 L

162 Solution A group of students collected 125 empty aluminum cans to take to the recycling center. If 21 cans contain 1.0 lb of aluminum, how many liters of aluminum (D = g/cm3) are obtained from the cans? 1) 1.0 L 2) 2.0 L 3) 4.0 L 125 cans x 1.0 lb x 454 g x 1 cm3 x 1 mL x 1 L 21 cans lb g 1 cm mL = 1.0 L

163 Learning Check Which of the following samples of metals will displace the greatest volume of water? 25 g of aluminum 2.70 g/mL 45 g of gold 19.3 g/mL 75 g of lead 11.3 g/mL

164 Solution 25 g of aluminum 2.70 g/mL
1) Plan: Calculate the volume for each metal, and select the metal sample with the greatest volume. 1) 25g x 1 mL = mL of aluminum g 2) 45 g x 1 mL = mL of gold g 3) 75 g x 1 mL = mL of lead g

165 density = specific gravity (if at 4oC)
density of substance g ml Specific Gravity = density of reference g ml Reference commonly water at 4oC density = specific gravity (if at 4oC) Specific Gravity is unitless.

166 Commonly used to test sugar in urine. based on Specific Gravity.
Hydrometer Commonly used to test sugar in urine. Float height will be based on Specific Gravity.


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