![Page 1: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/1.jpg)
UNITS OF MEASUREMENTChapter 2 : Section 2
![Page 2: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/2.jpg)
Objectives Distinguish between a quantity, a
unit, and a measurement standard Name SI units for length, mass, time,
volume, and density Distinguish between mass and
weight Perform density calculations Transform a statement of equality to
a conversion factor
![Page 3: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/3.jpg)
Units of measurement Quantity – magnitude, size, or
amount 5 2,000,000
0.030o Units – compare what is measured
with defined size mL g feet
Quantity has no meaning without the unit 5 mL 100 g 2,000,000
feet
![Page 4: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/4.jpg)
SI Measurement Le Systeme International d’Unites
Adopted 1960 as world-wide agreed upon standards
Base
unit
s
![Page 5: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/5.jpg)
Some SI Base Units Mass – measure of the amount of
matter in an object Grams (g) Electronic scale or triple beam balance
Volume – amount of space an object takes up Liters L V = L X W X H (cm3)
Graduated cylinder Water displacement
Weight – measure of the gravitational pull on matter Example : Moon has 1/6 weight
Visual Concept 1 – Click Here
Visual Concept 2 – Click Here
![Page 6: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/6.jpg)
Metric Prefixes Tera- T 1012 1 000 000 000 000 Giga- G 109 1 000 000 000 Mega- M 106 1 000 000 kilo- k 103 1000 hecto- h 102 100 deka- da 10 10 - - - - deci- d 10-1 0.1 centi- c 10-2 0.01 milli- m 10-3 0.001 micro- u (mu) 10-6 0.000 001 nano- n 10-9 0.000 000 001 pico- p 10-12 0.000 000 000 001
![Page 7: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/7.jpg)
Derived SI units
Combination of SI base units Examples
Area m2 L x W Volume m3 L x W
x H Density Kg/m2
mass/volume Molar mass Kg/mol
mass/moleSpeed : 2 measurements
distance divided by
time
![Page 8: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/8.jpg)
Volume and Density Volume = Length x Width x Height
1 cm x 1 cm x 1 cm = 1 cm3
Density = mass / Volume
Sample Problem 2-1
A sample of aluminum metal has a mass of 8.4 g. The volume of the sample is 3.1 cm3. Calculate the density of aluminum.
Write density equation
Step 1:D
V=
m
List your variables
Step 2:D
V
m
=
=
= ?
8.4 g
3.1 cm3
Replace variables in the equation
Step 3:
8.4 g
3.1 cm3
=
Rearrange the equation
Step 4:
SolveStep 5:
2.7 g/cm3=
![Page 9: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/9.jpg)
Rearranging EquationsD
V=
m
Multiply both sides by V
Step 1:
Solve for m:D
V=
m
DV
=m
V Vx x
V’s will cancel out leaving m by itself and on top
Step 2:so: D=m Vx
Solve for V:
Rewrite the equation
Step 3:
Multiply both sides by V
Step 1:
Divide both side by D
Step 2:D
V=
mV Vx x
D = mV xDD
DV =
m
so:
Rewrite the equation
Step 3:
![Page 10: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/10.jpg)
Practice pg.40 #1-31. What is the density of a block of marble that
occupies 310. cm3 and has a mass of 853 g?
2. Diamond has a density of 3.26 g/cm3. What is the mass of a diamond that has a volume of 0.351 cm3?
3. What is the volume of a sample of liquid mercury that has a mass of 76.2 g, given that the density of mercury is 13.6 g/mL?
1.14 g
2.75 g/cm3
5.60 mL
![Page 11: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/11.jpg)
Density of Some Common Substances Substance Density (g/cm3)
Air 0.0013 Feathers 0.0025 Wood(Oak) 0.6 - 0.9 Ice 0.92 Water 1.00 Bricks 1.84 Aluminum 2.70 Steel 7.80 Silver 10.50 Gold 19.30
![Page 12: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/12.jpg)
Conversion Factors Ratio derived from the equality between
two different units that can be used to convert from one unit to the other
Equalities 1 dollar = 4 quarters 1 kg = 1000 g 1 Km = 0.6213 miles
1 dollar 4 quarters4 quarter or 1 dollar
Visual Concept – Click Here
=So: How many quarter are there in $55 ?
55 dollars
x1 dollars
4 quarters = 220
quarters
![Page 13: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/13.jpg)
Making conversions How many miles are in 15 Km?1. Write given value:2. Choose conversion factor3. Multiply top and divide bottom
11.0 miles
x0.6213 miles
1 km = 17.7
km
Video Concept – Click Here
![Page 14: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/14.jpg)
Sample Problem 2.2Express a mass of 5.712 grams in milligrams and in kilograms.
5.172 g
x1 g
1000 mg = 5172
mg
5.172 g x1000 g
1 kg = 0.005172
kg
![Page 15: Chapter 2 : Section 2. Objectives Distinguish between a quantity, a unit, and a measurement standard Name SI units for length, mass, time, volume,](https://reader038.vdocuments.us/reader038/viewer/2022102523/551c05d05503469e4f8b4e7c/html5/thumbnails/15.jpg)
Practice 1 & 2 pg. 421. Express a length of 16.45 m in
centimeters and in kilometers.
2. Express a mass of 0.014 mg in grams.
1. 1645 cm, 0.01645 km2. 0.000 014 g
Answers: