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Bellwork- sig figs Honors only
For full credit you must…




How many sig figs?

1) 1000g                    6) 1000g = 1kg
2) 1000.0g                  7) 1000 people
3) 0.000110g                8) 1.1m + 11.11m +1.111m =
4) 1.1 x 10-4g              9) 11m x 101m =
5) 10,101g
Lecture 3.2- Units
3.1        Using and Expressing
           Measurements




 A measurement is a quantity that
  has both a number and a unit.
Measuring with SI Units
5 of the 7 S.I. base units are used by
chemists
m      meter (length)
kg     kilogram (mass)
K      kelvin (temperature)
s      second (time)
mol mole (quantity)
3.2         Units and Quantities
For very large or very small
measurements, use a metric prefix.
3.2   Units and Quantities
Units of Volume
    3.2           Units and Quantities

The SI unit of volume is the cubic meter (m)3,
 which is the amount of space occupied by a
 cube that is 1 m along each edge.
      A more convenient unit of volume for
      everyday use is the liter, a non-SI unit.
Units of Volume
    3.2           Units and Quantities

The SI unit of volume is the cubic meter (m)3,
 which is the amount of space occupied by a
 cube that is 1 m along each edge.
      A more convenient unit of volume for
      everyday use is the liter, a non-SI unit.

A liter (L) is the volume of a cube
 that is 10 centimeters (10 cm)
 along each edge.

10 cm × 10 cm × 10 cm = 1000 cm3 = 1 L
3.2          Units and Quantities


  Common metric units of volume
  include the liter, milliliter (aka cubic
  centimeter), and microliter.
3.2         Units and Quantities


  Common metric units of mass
  include kilogram, gram, milligram,
  and microgram.
3.2        Units and Quantities




 Scientists commonly use two
  equivalent units of temperature,
  the degree Celsius and the kelvin.
Absolute zero =
lowest possible
temperature
3.2     Units and Quantities




      1 C° = 1 K
3.2   Units and Quantities
3.2       Units and Quantities



 Energy is the capacity to do
  work or to produce heat.
3.2         Units and Quantities
The joule (J) is the SI unit of
 energy.
One calorie (cal) is the quantity
 of heat that raises the
 temperature of 1 g of pure water
BELLWORK- units
 Student’s    Magnitude SI unit
                                  1)Match the
 age          1.6         K         appropriate
 Body         6.2 x 101   kg        magnitude and
 temp.
                                    SI unit to the
 height       3.1 x 102   m         item being
 mass         4.8 x 108   s         measured.
2)Convert 32°C to Kelvins
3)Convert 250K to °C
4) Convert $9,675,000,000,000 to scientific notation.
5) Convert 1.2x10-7m to standard notation
Lecture 3.3- Unit conversions
A3.3
  conversion factor is a fraction that
 is equal to one because the values
 in the numerator and the
 denominator are equal.

Ex.     1g        and      1000mg
      1000mg                 1g
A3.3
  conversion factor is a fraction that
 is equal to one because the values
 in the numerator and the
 denominator are equal.

Ex.     1g        and      1000mg
      1000mg                 1g
A3.3
  conversion factor is a fraction that
 is equal to one because the values
 in the numerator and the
 denominator are equal.

Ex.     1g        and      1000mg
      1000mg                 1g
A3.3
  conversion factor is a fraction that
 is equal to one because the values
 in the numerator and the
 denominator are equal.

Ex.     1g        and      1000mg
      1000mg                 1g
A3.3
  conversion factor is a fraction that
 is equal to one because the values
 in the numerator and the
 denominator are equal.

Ex.     1g        and      1000mg
      1000mg                 1g
A3.3
  conversion factor is a fraction that
 is equal to one because the values
 in the numerator and the
 denominator are equal.

Ex.     1g        and      1000mg
      1000mg                 1g
3.3             Conversion Factors

Using the relationship 1000mL = 1L,
 you can write the following
 conversion factors.

        1000 ml              1L
           1L              1000ml
3.3
Using conversion factors to change units




 5,600ml
3.3
Using conversion factors to change units
Put the units you’ve got on the bottom, so
they will cancel out.
Put the units you want on the top.


 5,600ml    x   1L
              1000ml
3.3
Using conversion factors to change units
Put the units you’ve got on the bottom, so
they will cancel out.
Put the units you want on the top.


 5,600ml    x   1L          = 5.6L
              1000ml
3.3
Using conversion factors to change units
Put the units you’ve got on the bottom, so
they will cancel out.
Put the units you want on the top.


 5,600ml    x   1L          = 5.6L
              1000ml
  Because 1 L=1000ml we are really
  just multiplying by one and
  THE VALUE STAYS THE SAME.
3.5
Using multiple conversion factors in
a row is called dimensional analysis
3.5
   Using multiple conversion factors in
   a row is called dimensional analysis




8 hours
GIVEN
3.5
   Using multiple conversion factors in
   a row is called dimensional analysis




8 hours                        ? seconds
GIVEN                          WANTED
3.5
   Using multiple conversion factors in
   a row is called dimensional analysis



             How do I get
8 hours                        ? seconds
GIVEN        in between?       WANTED
3.5
   Using multiple conversion factors in
   a row is called dimensional analysis




                                   ?
8 hours
                                 seconds
3.5
   Using multiple conversion factors in
   a row is called dimensional analysis




          60 minutes               ?
8 hours x
            1 hour               seconds
3.5
   Using multiple conversion factors in
   a row is called dimensional analysis




          60 minutes x 60 seconds     ?
8 hours x                         =
            1 hour       1minute    seconds
3.5
   Using multiple conversion factors in
   a row is called dimensional analysis




          60 minutes x 60 seconds     ?
8 hours x                         =
            1 hour       1minute    seconds

       8 x 60 x 60 = 28,800 seconds
for Sample Problem 3.7
PRACTICE!

CONVERT
5670 milliseconds to seconds


CONVERT
100 km/h to      m/s
Lecture 3.4- Density
3.4         Determining Density



 Density is the ratio of the mass of
  an object to its volume.
3.4         Determining Density
Each of these 10-g samples has a
 different volume because the
 densities vary.
3.4           Determining Density
      Density is an intensive property
       that depends only on the
       composition of a substance, not
       on the size of the sample.
3.4 Determining Density
The density of corn oil is less
 than the density of corn
 syrup. For that reason, the oil
 floats on top of the syrup.

HIGH DENSITY on bottom
LOW DENSITY on top
3.4   Density and Temperature
3.4          Density and Temperature

The volume of most substances
 increases as the temperature increases.
The mass remains the same.

    The density of most
  substances will decrease as the
  temperature increases.
3.10
3.10
3.10
3.11
3.11
3.11
3.11
3.3 Section Quiz


Express the density 5.6 g/cm3 in kg/m3.
  a) 5.6 × 106kg/m3
  b) 5.6 × 103kg/m3
  c) 0.56 kg/m3
  d) 0.0056 kg/m3
3.3 Section Quiz


Express the density 5.6 g/cm3 in kg/m3.
  a) 5.6 × 106kg/m3
  b) 5.6 × 103kg/m3
  c) 0.56 kg/m3
  d) 0.0056 kg/m3

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Lecture 3.2 through 3.4- Units, Conversions, & Density

  • 1. Bellwork- sig figs Honors only For full credit you must… How many sig figs? 1) 1000g 6) 1000g = 1kg 2) 1000.0g 7) 1000 people 3) 0.000110g 8) 1.1m + 11.11m +1.111m = 4) 1.1 x 10-4g 9) 11m x 101m = 5) 10,101g
  • 3. 3.1 Using and Expressing Measurements A measurement is a quantity that has both a number and a unit.
  • 4. Measuring with SI Units 5 of the 7 S.I. base units are used by chemists m meter (length) kg kilogram (mass) K kelvin (temperature) s second (time) mol mole (quantity)
  • 5. 3.2 Units and Quantities For very large or very small measurements, use a metric prefix.
  • 6. 3.2 Units and Quantities
  • 7. Units of Volume 3.2 Units and Quantities The SI unit of volume is the cubic meter (m)3, which is the amount of space occupied by a cube that is 1 m along each edge. A more convenient unit of volume for everyday use is the liter, a non-SI unit.
  • 8. Units of Volume 3.2 Units and Quantities The SI unit of volume is the cubic meter (m)3, which is the amount of space occupied by a cube that is 1 m along each edge. A more convenient unit of volume for everyday use is the liter, a non-SI unit. A liter (L) is the volume of a cube that is 10 centimeters (10 cm) along each edge. 10 cm × 10 cm × 10 cm = 1000 cm3 = 1 L
  • 9. 3.2 Units and Quantities Common metric units of volume include the liter, milliliter (aka cubic centimeter), and microliter.
  • 10. 3.2 Units and Quantities Common metric units of mass include kilogram, gram, milligram, and microgram.
  • 11. 3.2 Units and Quantities Scientists commonly use two equivalent units of temperature, the degree Celsius and the kelvin.
  • 12. Absolute zero = lowest possible temperature
  • 13. 3.2 Units and Quantities 1 C° = 1 K
  • 14.
  • 15.
  • 16. 3.2 Units and Quantities
  • 17. 3.2 Units and Quantities Energy is the capacity to do work or to produce heat.
  • 18. 3.2 Units and Quantities The joule (J) is the SI unit of energy. One calorie (cal) is the quantity of heat that raises the temperature of 1 g of pure water
  • 19. BELLWORK- units Student’s Magnitude SI unit 1)Match the age 1.6 K appropriate Body 6.2 x 101 kg magnitude and temp. SI unit to the height 3.1 x 102 m item being mass 4.8 x 108 s measured. 2)Convert 32°C to Kelvins 3)Convert 250K to °C 4) Convert $9,675,000,000,000 to scientific notation. 5) Convert 1.2x10-7m to standard notation
  • 20. Lecture 3.3- Unit conversions
  • 21. A3.3 conversion factor is a fraction that is equal to one because the values in the numerator and the denominator are equal. Ex. 1g and 1000mg 1000mg 1g
  • 22. A3.3 conversion factor is a fraction that is equal to one because the values in the numerator and the denominator are equal. Ex. 1g and 1000mg 1000mg 1g
  • 23. A3.3 conversion factor is a fraction that is equal to one because the values in the numerator and the denominator are equal. Ex. 1g and 1000mg 1000mg 1g
  • 24. A3.3 conversion factor is a fraction that is equal to one because the values in the numerator and the denominator are equal. Ex. 1g and 1000mg 1000mg 1g
  • 25. A3.3 conversion factor is a fraction that is equal to one because the values in the numerator and the denominator are equal. Ex. 1g and 1000mg 1000mg 1g
  • 26. A3.3 conversion factor is a fraction that is equal to one because the values in the numerator and the denominator are equal. Ex. 1g and 1000mg 1000mg 1g
  • 27. 3.3 Conversion Factors Using the relationship 1000mL = 1L, you can write the following conversion factors. 1000 ml 1L 1L 1000ml
  • 28. 3.3 Using conversion factors to change units 5,600ml
  • 29. 3.3 Using conversion factors to change units Put the units you’ve got on the bottom, so they will cancel out. Put the units you want on the top. 5,600ml x 1L 1000ml
  • 30. 3.3 Using conversion factors to change units Put the units you’ve got on the bottom, so they will cancel out. Put the units you want on the top. 5,600ml x 1L = 5.6L 1000ml
  • 31. 3.3 Using conversion factors to change units Put the units you’ve got on the bottom, so they will cancel out. Put the units you want on the top. 5,600ml x 1L = 5.6L 1000ml Because 1 L=1000ml we are really just multiplying by one and THE VALUE STAYS THE SAME.
  • 32. 3.5 Using multiple conversion factors in a row is called dimensional analysis
  • 33. 3.5 Using multiple conversion factors in a row is called dimensional analysis 8 hours GIVEN
  • 34. 3.5 Using multiple conversion factors in a row is called dimensional analysis 8 hours ? seconds GIVEN WANTED
  • 35. 3.5 Using multiple conversion factors in a row is called dimensional analysis How do I get 8 hours ? seconds GIVEN in between? WANTED
  • 36. 3.5 Using multiple conversion factors in a row is called dimensional analysis ? 8 hours seconds
  • 37. 3.5 Using multiple conversion factors in a row is called dimensional analysis 60 minutes ? 8 hours x 1 hour seconds
  • 38. 3.5 Using multiple conversion factors in a row is called dimensional analysis 60 minutes x 60 seconds ? 8 hours x = 1 hour 1minute seconds
  • 39. 3.5 Using multiple conversion factors in a row is called dimensional analysis 60 minutes x 60 seconds ? 8 hours x = 1 hour 1minute seconds 8 x 60 x 60 = 28,800 seconds
  • 40. for Sample Problem 3.7 PRACTICE! CONVERT 5670 milliseconds to seconds CONVERT 100 km/h to m/s
  • 42. 3.4 Determining Density Density is the ratio of the mass of an object to its volume.
  • 43. 3.4 Determining Density Each of these 10-g samples has a different volume because the densities vary.
  • 44. 3.4 Determining Density Density is an intensive property that depends only on the composition of a substance, not on the size of the sample.
  • 45. 3.4 Determining Density The density of corn oil is less than the density of corn syrup. For that reason, the oil floats on top of the syrup. HIGH DENSITY on bottom LOW DENSITY on top
  • 46. 3.4 Density and Temperature
  • 47. 3.4 Density and Temperature The volume of most substances increases as the temperature increases. The mass remains the same. The density of most substances will decrease as the temperature increases.
  • 48.
  • 49. 3.10
  • 50. 3.10
  • 51. 3.10
  • 52. 3.11
  • 53. 3.11
  • 54. 3.11
  • 55. 3.11
  • 56. 3.3 Section Quiz Express the density 5.6 g/cm3 in kg/m3. a) 5.6 × 106kg/m3 b) 5.6 × 103kg/m3 c) 0.56 kg/m3 d) 0.0056 kg/m3
  • 57. 3.3 Section Quiz Express the density 5.6 g/cm3 in kg/m3. a) 5.6 × 106kg/m3 b) 5.6 × 103kg/m3 c) 0.56 kg/m3 d) 0.0056 kg/m3

Editor's Notes

  1. The two parts of a conversion factor, the numerator and the denominator, are equal.
  2. In this computer image of atoms, distance is marked off in nanometers (nm). Inferring What conversion factor would you use to convert nanometers to meters?
  3. A 10-g sample of pure water has less volume than 10 g of lithium, but more volume than 10 g of lead. The faces of the cubes are shown actual size. Inferring Which substance has the highest ratio of mass to volume?
  4. Because of differences in density, corn oil floats on top of corn syrup.