*This preview shows
page 1. Sign up
to
view the full content.*

a)
In a centrifuge rotating with angular frequency
ω
, a molecule of mass m
1
feels an effective
potential energy -m
1
r
2
ω
2
/2 when it is a distance r away from the center of the centrifuge. The
molecule is part of an ideal gas with internal chemical potential
µ
int
=
τ
log(n
1
/n
Q1
), where n
1
is the
number of molecules per unit volume and n
Q1
= (m
1
τ
/2
π
2
)
3/2
.
Show that
22
1
11
mr
n (r) = n (0)exp
2
ω
τ
b)
When a gas contains two different isotopes 1 and 2, the formula from part a) applies to each
isotope separately with appropriate choice of subscripts.
Derive a formula for the enrichment
factor [n

This is the end of the preview. Sign up
to
access the rest of the document.