Take Home Lab #6: Mean Free Path Activity
Question: What is the average distance
between atoms (also known as mean free path)?
Materials: Ruler, target diagram
Procedure: Mean free path is the
average distance an atom has to move before colliding with another atom. This
is approximately the distance between molecules or atoms. It is usually used
when dealing with gases and plasmas. Mean free path is important for
understanding temperature and pressure in nuclear chemistry, optics and sound
propagation. Mean free path is important when analyzing chemical reactions that
involve gases, calculating the conductivity or density of a gas, and working
with plasmas such as in fluorescent lightbulb or in a fusion reactor. (See the
Wikipedia entry for more details about the applications of mean free path.)
Remember that the word mean used in
this context means the same thing as average.
Consider the diagram on the next
page in which there are many circles representing atoms or molecules of a gas
or plasma in a container. Measure the
distances between 10 of the atoms and their closest neighbors. Take the average
of those 10 distances to find the mean free path. Be sure to use centimeters
when measuring. One distance has already been marked for you.
Data:
Copy the
data table on a separate sheet of paper.
Number
|
1st Atom
|
2nd Atom
|
Distance (cm)
|
1
|
A
|
D
|
|
2
|
|
|
|
3
|
|
|
|
4
|
|
|
|
5
|
|
|
|
6
|
|
|
|
7
|
|
|
|
8
|
|
|
|
9
|
|
|
|
10
|
|
|
|
Mean
|
All
|
all
|
|
Post-Lab Questions:
1. If two of
these atoms were very close together, would it have changed your answer very
much? Explain.
2. If you
were to increase the number of atoms or molecules in this container, how would
it change the mean free path? Explain.
3. If you
were to increase the size of the container, how would it change the mean free
path? Explain.
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