Chemistry 350 ...
Winter 2011
Problem Set
#
2
R.J. Le Roy
Due: Monday, February 7
Submit STAPLED Solutions in Class
or
to my office (ESC332) by 5:00 PM
1.
(a) How many distinct ways are there of distributing 17 distinguishable balls among 5 different
boxes, with 1 being placed in the first box, 3 in the second, 6 in the third, 2 in the fourth,
and 5 in the fifth ?
(b) For a general case of 17 distinguishable balls distributed over 5 distinct boxes, what is the
probability of encountering the particular type of distribution considered in Part (a) ?
(c) If the 17 balls of Part (a) become
in
distinguishable, how many distinct ways would there be
of distributing them in the manner specified there (i.e., 1 in the first box, 3 in the second,
6 in teh third, . . . etc.)?
(d) If the 17
in
distinguishable balls of Part (c) are distributed among the 5 boxes
in any way
,
how many distinct microstates would be possible ?
2. Consider a system consisting of
N
distinguishable oscillators, each with equally spaced level
energies separated by
hν
, where
N
≥
6 . If the system contains six quanta of energy (
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 Winter '10
 Prof.Djasd
 Chemistry, Photon, distinct ways, distinguishable balls, R.J. Le Roy, distinguishable oscillators

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