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For each problem (momentum, energy &
we will start with an initial chapter dealin
Then, proceed to microscopic level and l
to determine the velocity, temperature an
Then, the equations developed at micros
level are needed in order to provide some
At all three levels of description (mol
microscopic & macroscopic), the conse
Conservation law keeping from chang
We consider two colliding diatomic mole
system.
For simplicity we assume that the molec
The molecules are in a low-density gas,
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In Fig. 0.3-1 we show the collision be
the two homonuclear diatomic molecu
Total mass of the molecules enter
leaving the collision must equal.
Here mA and mB are the masses of m
A and B. Since there are no chemical r
the sum of the momenta of all the at
before the collision must equal that af
in which rA1 is the position vector for
of molecule A, and rA1 is its velocity.
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mass),
with some results of the molecular theo
arn how
concentration profiles in various kinds
copic
input into problem solving at macrosco
cular,
rvation law play a key role.
or to
hold ( a property) constant during
ules
les do not interact chemically and that e
o that we need not consider interaction
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tween
es, A and B, and in Fig. 0.3-2 we sho
ng and
olecules
actions, the masses of the individual
ms
er the collision, so that
atom 1
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ry of the transport phenomena (viscos
f
systems.
ic level.
an interaction
or process.
ch molecule is homonuclear (molecu
with other molecules in' the neighbo
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ty, thermal conductivity & diffusivity)
es composed of only one type of elem
hood.
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ations of the two atoms of one mo
at
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ent).
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ecule by means of position vectors
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drawn from an arbitrary origin.
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