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Units
Defining Units
When trying to describe the quantity or quality of something, whether a chemical
substance or physical phenomenon, it is helpful to have some standard measure to
refer to. A unit is nothing more than a standard by which a measured value
can be described. For instance, in the old British system, a foot, was just
that, the length of a man's foot. This was helpful in that when a distance
between, say, a house and a water well was described in feet, one who had never
seen the dwelling in question would have an instant idea of how far away the
well was, based solely on a verbal description. The concept today hasn't
changed, although our standards make better scientific sense and are more exact.
Systems of Units
There are two different sets of units used in scientific measurements:
British Engineering units and the metric system (also
called
the Standard International (SI) system). Both are based on standards,
though those underlying the British system can be shockingly
inscrutable. The metric system is based on a far less arbitrary system of tens,
and is far more rational, intelligent, and easier to use. In general, people
tend to stick with the system with which they are most familiar, and have the
most intuitive feeling for. The United States uses the British system; most of
the rest of the world (including Britain) uses the metric system. In terms of
science, the metric system is almost always used. For Americans, it is
therefore often necessary to make conversions between the two. These tables
reside in the "Reference" pull-down menu at the top of most SparkNotes pages.
Metric Units (SI units)
The standards metric terms for commonly measured characteristics are listed in
below.
Mass kilograms kg Length meters m Volume liters L Time seconds s Electric Current ampere A Temperature Kelvin, Celsius K, C Intensity of light candela cd amount of a substance mole mol
Temperature in the table above is expressed in both Kelvin (K) and
Celsius (C). One kelvin is exactly the same as one C, except that the
Kelvin scale starts at absolute zero, or -273.15 C, the lowest
temperature possible, instead of the freezing point of water.
Therefore water freezes at 273.15 K or 0 C.
Prefixes for Units
In addition to the basic metric units described above, there are prefixes to
indicate larger or smaller quantities. For example, a meter refers to a
standard metric measure of length. A millimeter refers to a measure that is one
thousandth the size of a meter (one thousand millimeters fit into a meter); a
kilometer refers to a distance one thousand times longer than a meter (one
thousand meters fit into a kilometer). By wisely using these prefixes, you can
avoid having to use huge numbers or having to resort to scientific
notation. The table below shows
the most commonly encountered prefixes:
Prefix Symbol Value Description pico p $10^-12$ 1 picoliter, (pL) = 0.000000000001 l nano n $10^-9$ 1 nanogram, (ng) = 0.0000000001 g micro m $10^-6$ 1 micrometer (mm)=0.000001 m milli $10^-3$ 1 milliliter (mL)= 0.001 L centi c $10^-2$ 1 centimeter (cm =0.01 m deci d $10^-1$ 1 decigram dg= 0.1 g *** * $100$ normal units without prefixes kilo k $10^3$ 1 kilogram kg=1000 g mega M $10^6$ 1 megagram Mg=1,000,000 g giga G $10^9$ 1 gigameter Gm= 1,000,000,000 m tera T $10^12$ 1 teraliter (TL)= 1,000,000,000,000 L
Using Units (Dimensional Analysis)
In working out calculations, units can provide an excellent source of
self-correction. When you perform a calculation in any science, you
will almsot always be looking not just for a number, but for a number of
a specific type of unit. If the answer your work yields does not have the
correct units, then you know you have made a mistake somewhere.
For instance, lets say that a person who weighs 150 lbs (a British
system measurement) wants to know her weight in kilograms (a metric
system measurement). Start by drawing a horizontal line, and then
making vertical hash marks to form a table as in step one of the figure
below.
Figure 1.1: Units in calculations
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