Questions
These questions arise in the Background and Tutorial sections.
- Question 1: (Advanced) How
large is the force due to gravity acting on an argon atom compared to
the attraction from a second argon atom at a distance of, say, 5
Angstroms?
(From Molecular Simulation section)
- Question 2: How large is the kinetic energy of a hard disk compared with the potential energy of a hard disk at room temperature? (there is no intermolecular interaction in a hard disk system so the only potential energy is gravitational potential energy). (From Molecular Simulation section)
- Question 4: In the
simulation applet, follow a fast, red molecule. What happens if it
collides with a slower, blue molecule? Does this seem realistic? (From Tutorial section)
- Question 5: From your
physical chemistry or other courses, what is the exact relation between
the average velocity of molecules in a gas and the temperature? How
would this relation change for a two-dimensional system such as the one
in this module? (From Tutorial section)
Problems
The following symbols are used in the problem sets.
R: Radius of the hard disk
D: Diameter of the hard disk
S: Number of simulation steps
M: Mass of the hard disk
W: Time steps between swaps
N: Number of hard disks in the simulation box.
T: Temperature
P: Pressure
k: Thermal conductivity of the molecules described by hard disks.
A: Total area of the simulation box
ρ: Fraction of the area of the simulation box that is occupied by the hard disks
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