1. Chapter 3 Scientific Measurement 3.3 Solving Conversion Problems
3.1 Using and Expressing
Measurements
3.2 Units of Measurement
3.3 Solving Conversion
Problems
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2. Density
A bar of silver has a mass of 68.0 g and a volume of 6.48 cm3. What is the density of silver? 10.5 g/cm3
The density of aluminum is 2.7 g/cm3. What is the mass of 15 cm3 of aluminum? 41 g
The density of a substance is 5.4 g/mL. What is the volume of 25 g of this substance. 4.6 mL
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3. List the units you are familiar with for
Mass Volume Length Temperature
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4. Using SI Units SI Base Units Quantity SI base unit Symbol Length meter
Mass
kilogram kg
Temperature
kelvin K
Time
second s
Amount of substance
mole
mol
Luminous intensity
candela cd
Electric current
ampere A
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5. Commonly Used Metric Prefixes
Symbol
Multiplier
Factor
Example
kilo k
1000
103
1 km = 1000 m
centi c
0.01
10-2
1 m = 100 cm
milli m
0.001
10-3
1 m = 1000 mm
micro
10-6
1 m = 1,000,000 µm
nano n
10-9
1 m = 1,000,000,000 nm
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6. 1 dollar = 4 quarters = 10 dimes =
Conversion Factors
A quantity can be expressed in different ways.
1 dollar = 4 quarters = 10 dimes =
20 nickels = 100 pennies
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7. Conversion factor: ratio of equivalent measurements.
Conversion Factors
Conversion factor: ratio of equivalent measurements.
1 inch = 2.54 cm
conversion factors
1 inch
2.54 cm or
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8. Dimensional Analysis
Dimensional analysis is a way to analyze and solve problems using the units, or dimensions, of the measurements.
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9. Using Dimensional Analysis
Sample Problem 3.9
Using Dimensional Analysis
How many seconds are in a workday that lasts exactly eight hours?
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10. Converting Between Metric Units
Sample Problem 3.13
Converting Between Metric Units
The diameter of a sewing needle is cm. What is the diameter in micrometers?
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11. Calculate how many seconds are in one year (assuming 365 days
Do Now:
Calculate how many seconds are
in one year (assuming 365 days
in one year).
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12. 3. The density of gold is 19.3 g/cm3. What is the density in kg/m3?
Do Now:
1. Convert 15.7 km to mm.
2. Convert 59 cm2 to m2.
3. The density of gold is 19.3 g/cm3. What is the density in kg/m3?
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13. Temperature: measure of how hot or cold an object is.
Temperature Scales
Temperature: measure of how hot or cold an object is.
SI unit: Kelvin (K)
Common unit: Celsius
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14. Note: with the Kelvin scale, the degree sign is not used
Temperature Scales
Note: with the Kelvin scale, the degree sign is not used
Celsius
Kelvin
100
divisions
100°C
Boiling point
of water K
0°C
Freezing point K
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15. Temperature Scales
One degree Celsius is equivalent to one Kelvin on the Kelvin scale.
To convert between the temperature scales,
K = °C + 273
°C = K – 273
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16. Converting Between Temperature Scales
Sample Problem 3.7
Converting Between Temperature Scales
Normal human body temperature is 37°C. What is this temperature in kelvins?
K = °C = = 310 K
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17. END OF 3.3
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