Chapter 1 : Basic Skills - LCHS Physical Science LCHS Main SiteSD271 Main siteUof I New Century Classroom  
Objectives: The learner will...
...recognize and use metric units of distance, weight, volume and temperature
...demonstrate dimensional analysis
Vocabulary:
meter : the basic metric unit of length, a little longer than a yard
mass:
measure of the amount of matter in an object, grams
matter:
anything that has mass and takes up space
gram :
the basic metric unit of mass (amount of matter), ~mass of a small paperclip
liter :
The basic metric unit of volume, 3.78 liters in a gallon
 


Physical Science
is a laboratory course dealing with the process of scientific investigation of objects and phenomena in our physical universe. This course introduces the interrelated nature of matter and energy and the physical laws that govern their behavior as well as their mathematical relationships. The organized nature of matter and energy and our understanding of physical laws that have produced an advanced technology and its effect on society will be emphasized. The first semester will cover basic chemistry and the second semester will cover basic physics. Before we begin there are certain fundamental skills that should be reviewed as they are foundational science concepts. These fundamental skills are divided up between the first 2 tutorials. This tutorial covers The Metric System, Temperature, Precision & Accuracy.

The Metric System


The Metric System is the worldwide standard of measurement based on multiples of 10 (like our number system) and uses water as a unifying substance (1 gram of water = 1 milliliter = 1 cubic centimeter, and 1 calorie of heat will raise 1 gram of water 1 degree Celsius! Try to say that of the English System! ). Celsius and Kelvin temperature scales are also metric based.
  • The meter (m) is the unit for length (~1 yard)
  • The gram (g) is the unit of mass (~1 small paperclip)
  • The liter (l) is the unit of volume (~1 quart)
  • The second (s) is the unit of time (3600 seconds in 1 hour)
    To convert hours to seconds you would multiply by 3600
    To convert seconds to hours you would divide by 3600
  • A cube .1 meter (1 decimeter) on each side will hold 1 liter of water with a mass of 1 kilogram
  • A cube 1 centimeter on each side will hold 1 milliliter of water with a mass of 1 gram
  • 1 calorie of heat energy will raise the temperature of 1 gram of water by 1 degree Celsius (or Kelvin)

The need to convert between bigger and smaller units is also greatly simplified within the metric system. Going from inches to yards to miles doesn't require special factors (e.g. 3, 12, 36, 5280 ) in the metric system. It is just a matter of moving the decimal! To convert from smaller units to larger the decimal is merely moved to the left, and moved right for converting from larger to smaller units. The table below should be copied into your notebook as an aide to quickly convert between units, especially during tests. Units toward the left of the table are bigger than toward the right by a factor of 10 for each space you move. " * " indicates the presence of a unit that is rarely used. Numbers on the bottom of the table (-12 to +12) indicate the power of ten the unit is compared to it's base unit.

t * * G * * M * * k h dk base d c m * * u * * n * * p
tm * * Gm * * Mm * * km hm dkm meter dm cm mm * * um * * nm * * pm
tg * * Gg * * Mg * * kg hg dkg gram dg cg mg * * ug * * ng * * pg
tl * * Gl * * Ml * * kl hl dkl liter dl cl ml * * ul * * nl * * pl
+12     +9     +6     +3 +2 +1   -1 -2 -3     -6     -9     -12

BIGGER
smaller
  • t = tera (10^+12 or trillion)
  • G = giga (10^+9 or billion)
  • M = mega (10^+6 or million)
  • k = kilo (10^+3 or thousand)
  • h = hecta (10^2 or hundred)
  • dk = deka (10^1 or ten
  • d = deci (10^-1 or tenths)
  • c = centi (10^-2 or hunderdths)
  • m = milli (10^-3 or thousandths)
  • u = micro (10^-6 or millionths)
  • n = nano (10^-9 or billionths)
  • p = pico (10^-12 or trillionths


example problem:
Notice that to convert 123.4 mg to .1234 g (grams) you would just find mg on the above table and then determine how many spaces and which direction to get to the next unit (g). In this case, to get from mg to g requires moving 3 spaces to the left, therefore you would move the decimal 3 places to the left. Easy!

TEMPERATURE


Temperature is a measure of the average atomic motion in a substance. The faster the atoms are moving the higher the temperature. In the USA we prefer measuring temperature with the Fahrenheit scale because it is more familiar to us. Celsius and Kelvin are metric and both use 100 divisions between the boiling and freezing of water. Kelvin is the superior scale because 0 Kelvin actually means NO heat is left in the substance. On the other 2 scales zero heat is actually about -460 degrees below zero Fahrenheit and -273.15 Celsius! The table below compares the 3 scales
  Fahrenheit TF Celsius Tc Kelvin Tk
Water boils 212 100 373.15
Water freezes 32 0 273.15
No Heat Left! -460 -273.15 0

To convert Fahrenheit to Celsius Tc = 5/9(TF-32)
To convert Celsius to Kelvin Tk = TC + 273.15
Some equations (e.g. general gas law, lab errror calculations) require the use of the Kelvin scale (because zero really means zero).

Precision & Accuracy
When you are using a measuring device it is important to be precise and accurate. Precision is determined by the quality of the measuring instrument primarily. A graduated cylinder measures volumes of fluids. If the smallest divisions of a graduated cylinder are 1/10th of a mL then you are expected to make an educated guess on the next digit, i.e. 1/100th mL. Human error (e.g. the angle at which you view this instrument, flaws in manufacture, calibration errors, sabotage) can affect the accuracy of the reading.


 
Practice: Help:
PB1
Convert 1.9 hours to seconds.
(conversion factor = 3600 sec / 1 hr)
1.9 hrs x 3600 sec ÷ 1 hr
PB2
Convert 18631 seconds to hours.
(conversion factor = 1 hr / 3600 sec)
18631 sec x 1 hr ÷ 3600 sec
PB3
Convert 168 centimeters (cm) to meters (m).
use the conversion chart and
move the decimal 2 places left
PB4
Convert 8.5 Kilometers (km) to centimeters (cm).
use the conversion chart and
move the decimal 5 places right
PB5
Convert 3.9 Liters to milliliters (mL).
use the conversion chart and
move the decimal 3 places right
PB6
Convert 31 grams to Kilograms (Kg).
use the conversion chart and
move the decimal 3 places left
PB7
How many LITERS will a box hold that is 88 cm x 11 cm x 55 cm ?

Volume = Length x Width x Height
1 cc = 1 mL
88 x 11 x 55 = cc = mL
convert to L, move decimal 3 left

PB8
Convert 107.6 °F to °C
Tc = 5/9(TF-32)
Tc = 5/9(107.6 -32)
PB9
Convert 300 Kelvin to °C.
Tk = Tc + 273.15
300 = Tc + 273.15
300 - 273.15 = Tc
PB10
Convert 57 °C to Kelvin.
Tk = Tc + 273.15
Tk = 57 + 273.15
answer bank:
.031
42
1.68
26.85
5.175278
6840
3900
53.24
850000
330.15


Scientist Spotlight:
Amedeo Avogadro
(1776-1856) Italian chemist who proposed that equal volumes of gases under equal conditions of temperature and pressure contain equal numbers of molecules.


Resources (Study Links/Study Tips/Reading Lists)
A concise reference to the Metric System (SI)
Dictionary of Measures, Units, and Conversions
The Origin of the Celsius Temperature Scale (Johan and Ann Santesson)

Chapter 1 : Basic Skills - LCHS Physical Science LCHS Main SiteSD271 Main siteUof I New Century Classroom  
©2002 Jacobson - LCHS
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