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CH. 2 SECTION 1-2 ANSWERS
WHAT ARE BASE UNITS?
They are defined units in a system of measurements.
A base unit is independent of other units.
PROVIDE THE SEVEN BASE UNITS OF SI. Seconds for time
Meters for length
Kilogram for mass
Kelvin for Temperature
Mole for Amount of substance
Ampere for electric current
Candela for luminous intensity
WHAT ARE DERIVED UNITS?
They are measurements that combines base units
Volume - cm3
Speed- m/s
Density- g/cm3
DEFINE DENSITY
Density is the ratio that compares the mass of an object to its volume. Density- g/cm3
1. A piece of matter with a mass of 147 g is placed in a 50 mL graduated cylinder. The water level rises from 20mL to 40 mL. What is the density of the metal?
Displacement of water from 20 to 40 gives us the volume of 20 mls.
Density = mass/volume
147g / 20ml = 7.35 g/ml
2. What is the volume of a sample that has a mass of 20 g and a density of 4g/mL?
So we are missing the volume D=m/x 4g = 20g 1ml Xml
Cross multiply and divide 4g xml = 20g/ml = 4g 4g
5 ml
3. A metal cube has a mass of 20 g and a volume of 5cm3. Is the cube made of pure aluminum? Explain you answer. See practice problem help.
Aluminum’s density is 2.7 g/ml 20g = 4 g/cm3
5 cm3
No, this is not pure aluminum
WHAT IS THE KELVIN SCALE, WHERE DOES CHEMISTRY USE THIS MEASUREMENT?
It’s the SI base unit of temperature where 273K is the freezing point of water and the boiling point of water is 373K
Kelvin is used in describing the behavior of gases.
CONVERT THE FOLLOWING
450 °C TO ___________K 25K___________°C
3°C TO _____________K 600K___________°C
0°C TO _____________K 0K___________°C
-60°C TO___________K 375K___________°C
*Celsius to Kelvin add 273*Kelvin to Celsius subtract 273
723
276
273
213
-248
327
-273
102
WHAT IS SCIENTIFIC NOTATION?
Scientific notation expresses numbers as multiple of two factors: A number between 1 and 10 And ten raise to a power, exponent
The exponent tells you how many times the first factor must be multiplied by ten. When numbers larger than 1
Power of 10 is in the positive When numbers smaller than 1
Power of 10 is in the negative
WHAT IS SCIENTIFIC NOTATION?
a. 700m
b. 38000m
c. 4500000m
d. 685000000000m
e. 0.0054kg
f. 0.00000687kg
g. 0.000000076 kg
h. 0.0000000008kg
7x 102 m
3.8 x 104 m
4.5 x 106 m
6.85 x 1011 m
5.4 x 10-3 kg
6.87 x 10-6 kg
7.6 x 10-8 kg
8 x 10-10 kg
WHAT IS THE RULE WHEN ADDING OR SUBTRACTING EXPONENTS?
When adding or subtracting numbers written in scientific notation, you must be sure that the exponents are the same before doing the arithmetic.
14. Read instructions and solve.
a. 5 X 10-5m + 2 X 10-5m = _____________________
b 7 X108m – 4X108m = _______________________
e. 1.26 X 104 kg + 2.5 X103kg __________________
g. 4.39 X 105kg – 2.8 X 104kg ___________________
7 x 10-5 m
3 x 108 m
Change exponents to be the same
12.6 x 103 kg
15.1 x 103 kg
1.51 x 104 kg
Change exponents to be the same
0.28 kg x 105 kg
4.11 x 105 kg
WHAT IS THE RULE WHEN MULTIPLYING OR DIVIDING EXPONENTS?
For multiplication, you multiply the first factors. Then, you add the exponents.
For division, you divide the first factors. Then, you subtract the exponent of the divisor from the exponent of the dividend.
15. Read instructions and solve.
a. 4 X 102cm x 1 X 108cm =
c. 3 X101 cm x 3 X10-2cm =
16b. 8 X 104 g ÷ 4 X101 cm3 =
d. 4 X 10-3g ÷ 2 X 10-2 cm3 =
4 x 1010 cm2
9 x 10-1 cm2
2 x 103 g/cm
2 x 10-1 g/cm
WHAT IS A CONVERSION FACTOR?
A conversion factor is a ratio of equivalent values used to express the same quantity in different units.
A conversion factor is always equal to 1.
19. HOW MANY SECONDS ARE THERE IN 24 HOURS?
24 hours
1 hour
60 minutes
Place starting amount here
--------
--------------
Place the units you want to get rid of across from each other
= 86,400 sec8.64 x 104 sec
Place conversion
factor here
Place conversion
factor here
1 minutes
60 seconds--------------
--------------
20. A CAR IS TRAVELING 90.0 KILOMETERS PER HOUR. WHAT IS ITS SPEED IN MILES PER MINUTE? ONE KILOMETER = 0.62 MILES.
90 km
1 km
0.62 miles
Place starting amount here
--------
-------------
Place the units you want to get rid of across from each other
= 0.93 miles/min9.3 x 10-1 miles/min
Place conversion
factor here
Place conversion
factor here
60 minutes
1 hour
--------------
-------------
1 hour
The Metric System
Base Units
Length meter
Mass gram
Time seconds
Prefix
kilo 1000hecta 100deca 10Base 1deci 0.1centi 0.01milli 0.001
Put in the prefix Prefix + base = measureme
ntmeterkilo- 1000 meters
liter
centi-
0.01 liters
deca- gram 10 grams
Conversions
Basedecahectakilo deci centi milli
300. centimeters = hm
Move the decimal point toward the prefix you want.
The decimal moved to the left 4 times
3000.03 hm 00
Practice
Basedecahectakilo deci centi milli
25 kilograms to _______________ decigrams
Where do we start?KiloWhere do we end?deciHow many spots and which direction?4 to the
right
250000
Practice
Basedecahectakilo deci centi milli
0.0043 grams to _______________ hectagrams
0.000043
38508 meters to _______________ kilometers1.34 milliliters to _______________ liters
975.6 liters to _______________ kiloliters
38.508
0.00134
0.9756
SCIENTIFIC NOTATION
Used to express really big or small numbers
Really big- power of 10 is in the positive
Really small- power of 10 is in the negative
You move the decimal point behind the first NON ZERO number.
PRACTICE
1392000 km Is this a big number or small? Is my power of 10 in the positive or
negative? Where does the decimal go? 1.392 x 106 km
PRACTICE SCIENTIFIC NOTATION
0.000003457 grams 3.457 x 10-6 grams48000 meters 4.8 x 104 meters0.0002563 meters 2.563 x 10-4 meters0.00000000967meters 9.67 x 10-9 meters8,900,000,000,000 kilometers8.9 x 1012 km
ADDING & SUBTRACTING SCIENTIFIC NOTATION
Make sure that the exponents are the same! 1.3 x 10-2 kg + 2.5 x 10-2 kg =
3.487 x 104 kg + 3.785 x 105 kg = Change them to match (doesn’t matter
which) 0.3487 x105kg + 3.785 x 105 kg =
3.8 x 10-2
kg
4.1337 x 105kg (is this correct??)4.134 x 105kg (is this correct??)
PRACTICE
5 x 10-5 m + 2 x 10-5 m =
1.26 x 104 kg + 2.5 x 103 kg =
7 x 10-5 m
1.5 x 104 kg
9 x 102 m -- 7 x 102 m =
2 x 102 m
5.36 x 10-1 km – 7.40 x 10-2 km =
4.62 x 10-1 km
MULTIPLYING SCIENTIFIC NOTATION
Multiply the factors first!! Then add the exponents Take care in assigning the sign to the
exponent Adding +3 to +4 = 7 but +3 to -4 = -1 Subtracting -6 from -4 = 2 but -4 from -6
= -2 (2 x 103 kg) X (3 x 102 kg) =
Rule 1 = 6 Rule 2 =1056 x 105 kg2
PRACTICE MULTIPLYING SCIENTIFIC NOTATION
4 x 1010 cm2(4 x 102 cm) (1 x 108 cm) =
9 x 10-1 cm2(3 x 101 cm) (3 x 10-2 cm) =
5 x 102 cm2(1 x 103 cm) (5 x 10-1 cm) =
DIVIDING SCIENTIFIC NOTATION
Divide the factors first!! Then subtract the exponent of the
divisor from exponent of the dividend (9 x 108 kg) ÷ (3 x 10-4 kg) = Rule 1: 9 ÷ 3 = 3 Rule 2: 8 - -4 = 12
3 x 1012 kg
PRACTICE DIVIDING SCIENTIFIC NOTATION
3 x 101 g(6 x 102 g) ÷ (2 x 101 g) =
3 x 106 cm(9 x 105 cm) (3 x 10-1 cm) =
2 x 10-1 cm(4 x 10-3 cm) (2 x 10-2 cm) =