Explanation:
Here, I am talking about converting units for a specific quantity. For
example, converting a volume from m^{3} to L, or converting mass
from kg to lbm (poundmass). This is done by multiplying the quantity
you want to change by conversion factors, so that the units cancel giving
the desired units.
Now, to illustrate how to perform a unit conversion, let's work out
the following problem.
Knowing that 2000 lb = 1 ton, and 1 kilogram = 2.205 lb., determine
the mass of a 3 ton garbage truck in kilograms?
We want to start with the 3 tons on the left hand side, and write the
unit conversions as fractions so that the units cancel.
Example 2.a.1:
A 5 gallon bucket of tar weighs 30 lb. (poundmass). What is the mass of the bucket in SI units (kg)?
Example 2.a.2:
For the same bucket as above, what is the volume in SI units (m^{3})
Example 2.a.3:
An 8 oz. cup of water is filled to the brim. How many liters is this?
Example 2.a.4:
Solve 2.a.3 again, but this time determine how many grams of water are in the cup. Remember that the density of water is 1 g/mL.
Example 2.a.5:
Find the number of grammoles in the 8 oz. cup of water.
Example 2.a.6:
Find the number of poundmoles in the 8 oz. cup of water.
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