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Metrics

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Metrics & measurement Volume: How much space something takes up, measured in Liters or milliliters (cm3). Mass(weight): measured in grams, milligrams or kilograms. – PowerPoint PPT presentation

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Title: Metrics


1
Chemistry 1
  • Metrics measurement

2
Metric Units
  • Volume How much space something takes up,
    measured in Liters or milliliters (cm3).
  • Mass(weight) measured in grams, milligrams or
    kilograms.
  • Length measured in meters, millimeters, or
    centimeters.

3
Metric Multiples
  • The great advantage of using metric units is that
    they are in multiples of ten. This means that you
    can simply move decimal points to go from one
    unit to another!

4
Metric Multiples
  • Kilo-K
  • Hecta-H
  • Deka-Dk
  • Base units meters, Liters, grams
  • Deci-d
  • Centi-c
  • Milli-m

5
Metric Multiples
  • km Hm dkm m dm cm
    mm
  • To change metric units, simple move the
    decimal place along the scale from one unit to
    another. 25 meters becomes 2500 centimeters.

6
Metric Conversions
  • 23.5 g to mg (23,500 mg)
  • 435.7 ml to L (.4357 L)
  • .223 km to m (223m)
  • 22.57 cm to m (.2257 cm)
  • 450.3 L to ml
  • 45 mg to g

7
Density the mass (grams) divided by the volume
(milliliters) D m/v
  • Find D for
  • A piece of cork with a volume of ml water that
    weighs .41 grams. (.205 g/ml)
  • A rock that displaces 10 ml water has a weight of
    30 grams. (3 g/ml)
  • A chunk of ice which has a volume of 25 ml weighs
    23 grams. (.91 g/ml)

8
Uncertainty in Measurements because
measurements always have flaws and they always
involve estimation
  • Significant Digits the number of certain and
    estimated digits in a number.
  • Zeroes to left of decimal point and to left of an
    integer do not count as significant.
  • All other zeroes do count as significant.
  • 31.76 (4 s.d.)is more accurate than 31.7 (3 s.d.)
  • .009210 (4 s.d.) 9.210 x 10-3
  • .0090210 (5 s.d.) 9.0210 x 10-3

9
Significant digit Calculations
  • When doing math, your answer can only have as
    many sigdigs as the lesser number of sigdigs
  • 1.12 2.243 3.363 3.36
  • (3 sigdigs) (4 sigdigs) (4 sigdigs) (3 sigdigs)
  • This answer can only have 3 significant digits
    since 1.12 only has 3 digdigs.

10
Base Ten Exponents
  • The exponents you will use in this class
    represent numbers which have the number of
    decimal places in the exponent 100 1 101 10
    102 100 and so on.
  • Positive exponents push the decimal place to the
    right 2.35 x 103 is 2,350
  • Negative exponents push the decimal place to the
    left 2.35 x 10-3 is .00235

11
Exponent Calculations
  • When multiplying exponential numbers, multiply
    the first two, then add the exponents 1.2 x 103
    x 1.2 x 103 1.44 x 106
  • When dividing exponential numbers, divide the
    first two, then subtract the exponents
  • 1.2 x 103 / 1.2 x 103 1.0 x 100 1

12
Exponent Calculations
  • To add exponents, move the decimal place to get
    the same exponents, then add the numbers, keeping
    the exponent. 1 x 102 1 x 103 1 x 102 10 x
    102 11 x 102
  • To subtract exponents, move the decimal place to
    get the same exponents, then subtract the
    numbers, keeping the exponent. 1 x 103 - 1 x 102
  • 10 x 102 - 1 x 102 9 x 102

13
Try These!
  • 5.4 x 107 2.7 x 106
  • 2.3 x 1016 1.8 x 1015
  • 8.4 x 1024 / 4.2 x 1022
  • 3.2 x 103 x 2 x 1012

14
Percent Error and Yield
  • Percent Yield Actual x 100
  • Expected
  • Percent Error Actual Expected x 100
  • Expected

15
Dimensional analysis
  • Used to convert units. Multiply the given by the
    unit you want to find on the top, and the unit
    you want to cancel on the bottom.
  • 10.5 mm ? Meters
  • 10.5 mm x 1 meter .0105 meters
  • 1,000 mm

16
Measurement
  • Hot or Not?

17
Definitely Hot!
18
The End
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