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Chapter 2
30°C 30°F
SI unit
Measuring Volume
We will be using graduated cylinders to
find the volume of liquids and other objects.
Read the measurement based on the bottom of the
meniscus or curve. When using a real cylinder, make
sure you are eye-level with the level of the water.
What is the volume of water in the cylinder? _____mL
What causes the meniscus?
A concave meniscus occurs when the molecules of the liquid
attract those of the container. The glass attracts the water on
the sides.
Measuring Liquid Volume
Imagescreatedathttp://www.standards.dfes.gov.uk/primaryframework/downloads/SWF/measuring_cylinder.swf
What is the volume of water in each cylinder?
Pay attention to the scales for each cylinder.
Measuring Solid Volume
10 cm
9 cm
8 cm
We can measure the volume of regular object
using the formula length x width x height.
_____ X _____ X _____ = _____
http://resources.edb.gov.hk/~s1sci/R_S1Science/sp/e
n/syllabus/unit14/new/testingmain1.htm
We can measure the volume of
irregular object using water displacement.
Amount of H2O with object = ______
About of H2O without object = ______
Difference = Volume = ______
 How hot? How cold?
 direction of Heat Transfer
 Celsius – 0 0
C Freezing Point of Water
100 0
C Boiling Point of Water
 Kelvin = C° + 273
 No degree signs are used
 O Kelvin = -273.150
C
▪ coldest possible temperature
 Length – size
 meter (m)
 Mass – amount of matter
 Kilogram (kg) or gram (g)
 Volume – space something takes up
 Liter (l) or centimeters cubed (cm3
)
 Temperature – amount of heat
 Kelvin (K) = celsius + 273
 Measure of how much matter is squeezed
into a given space
 density = mass
volume
 A block of wood and a block of steel have the
same volume
 What happens to the density of an object if it
is cut into pieces?
 Which has the greater density, a single
uranium atom or Earth?
 coefficient x 10 raised to a power
 Single gram of hydrogen
 602,000,000,000,000,000,000,000 molecules =
 6.02 x 1023
molecules
 Mass of an atom of gold
 0.000000000000000000000327 grams =
 3.27 x 10-22
grams
 36,000
 3.6 x 104
 503,000,000
 5.03 x 108
 0.00076
 7.6 x 10-4
The valid digits of a number
In measurement: includes all of the digits that
are known, plus a last digit that is estimated
 Significant:
 nonzero digits
 final zeros after the decimal points
 zeros between two other significant digits
 Not significant
 zeros used solely for spacing the decimal point are
not significant.
 each have only two sig figs
 0.0071 meter
 0.42 meter
 0.000099 meter
 7.1 x 10-3
meter
 4.2 x 10-1
meter
 9.9 x 10-5
meter
ValueValue
5.605.60
5.65.6
0.0120.012
0.00120030.0012003
0.01200.0120
0.00120.0012
# of significant figures# of significant figures
33
22
22
55
33
22
If the digit immediately to the right of the last
significant digit is less than 5, it is dropped
 5 or greater - last significant digit increased by 1
 41.58 square meters  41.6 square meters
 Round 65.145 meters to 4 sig figs
 65.15m
 Round 100.1°C to 1 sig fig
 100°C
 Round 154 cm to 2 sig figs
 150
 Round 0.000718 kilograms to 2 sig figs
 0.00072
 Counting
 Example: 23 people in the classroom
▪ (Not 22.9 or 23.1) 23.00000000……………….
 Exactly defined quantities
 Example: 60 minutes = 1 hour
▪ 60.00000000……………………..
 calculated answer cannot be too precise
 not more precise than the least precise measurement
 Multiplication and Division
 same number of sig figs as the measurement with
the least number of sig figs
 Addition and Subtraction
 same number of decimal places as the measurement
with the least number of decimal places
 Accuracy
 How close a
measurement comes
to the actual value of
what is being
measured
 Precision
 How close a series of
measurements are
to one another
 Difference between accepted value and
experimental value
 error = experimental value – accepted value
 % error = x 100%error
accepted value
 % error = x 100%
99.1°C – 100.0°C x 100%
100.0°C
0.9°C x 100%
100.0°C
0.9%
error
accepted value
=
=
=

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Unit 1 - Data Analysis

  • 2.
  • 5.
  • 6. Measuring Volume We will be using graduated cylinders to find the volume of liquids and other objects. Read the measurement based on the bottom of the meniscus or curve. When using a real cylinder, make sure you are eye-level with the level of the water. What is the volume of water in the cylinder? _____mL What causes the meniscus? A concave meniscus occurs when the molecules of the liquid attract those of the container. The glass attracts the water on the sides.
  • 7. Measuring Liquid Volume Imagescreatedathttp://www.standards.dfes.gov.uk/primaryframework/downloads/SWF/measuring_cylinder.swf What is the volume of water in each cylinder? Pay attention to the scales for each cylinder.
  • 8. Measuring Solid Volume 10 cm 9 cm 8 cm We can measure the volume of regular object using the formula length x width x height. _____ X _____ X _____ = _____ http://resources.edb.gov.hk/~s1sci/R_S1Science/sp/e n/syllabus/unit14/new/testingmain1.htm We can measure the volume of irregular object using water displacement. Amount of H2O with object = ______ About of H2O without object = ______ Difference = Volume = ______
  • 9.  How hot? How cold?  direction of Heat Transfer  Celsius – 0 0 C Freezing Point of Water 100 0 C Boiling Point of Water  Kelvin = C° + 273  No degree signs are used  O Kelvin = -273.150 C ▪ coldest possible temperature
  • 10.  Length – size  meter (m)  Mass – amount of matter  Kilogram (kg) or gram (g)  Volume – space something takes up  Liter (l) or centimeters cubed (cm3 )  Temperature – amount of heat  Kelvin (K) = celsius + 273
  • 11.  Measure of how much matter is squeezed into a given space  density = mass volume
  • 12.  A block of wood and a block of steel have the same volume
  • 13.  What happens to the density of an object if it is cut into pieces?  Which has the greater density, a single uranium atom or Earth?
  • 14.  coefficient x 10 raised to a power  Single gram of hydrogen  602,000,000,000,000,000,000,000 molecules =  6.02 x 1023 molecules  Mass of an atom of gold  0.000000000000000000000327 grams =  3.27 x 10-22 grams
  • 15.  36,000  3.6 x 104  503,000,000  5.03 x 108  0.00076  7.6 x 10-4
  • 16. The valid digits of a number In measurement: includes all of the digits that are known, plus a last digit that is estimated
  • 17.  Significant:  nonzero digits  final zeros after the decimal points  zeros between two other significant digits  Not significant  zeros used solely for spacing the decimal point are not significant.
  • 18.  each have only two sig figs  0.0071 meter  0.42 meter  0.000099 meter  7.1 x 10-3 meter  4.2 x 10-1 meter  9.9 x 10-5 meter
  • 20. If the digit immediately to the right of the last significant digit is less than 5, it is dropped  5 or greater - last significant digit increased by 1  41.58 square meters  41.6 square meters
  • 21.  Round 65.145 meters to 4 sig figs  65.15m  Round 100.1°C to 1 sig fig  100°C  Round 154 cm to 2 sig figs  150  Round 0.000718 kilograms to 2 sig figs  0.00072
  • 22.  Counting  Example: 23 people in the classroom ▪ (Not 22.9 or 23.1) 23.00000000……………….  Exactly defined quantities  Example: 60 minutes = 1 hour ▪ 60.00000000……………………..
  • 23.  calculated answer cannot be too precise  not more precise than the least precise measurement  Multiplication and Division  same number of sig figs as the measurement with the least number of sig figs  Addition and Subtraction  same number of decimal places as the measurement with the least number of decimal places
  • 24.  Accuracy  How close a measurement comes to the actual value of what is being measured  Precision  How close a series of measurements are to one another
  • 25.  Difference between accepted value and experimental value  error = experimental value – accepted value  % error = x 100%error accepted value
  • 26.  % error = x 100% 99.1°C – 100.0°C x 100% 100.0°C 0.9°C x 100% 100.0°C 0.9% error accepted value = = =