Unformatted text preview: ing
0*+5+,31,0*+,5/;:?0,N'M#ON'M#O""",F,N'M#O=,F,N'M#O'!",,
ess moves from states of
both molecules in the le hand chamber is (½)(½) = (¼). e probability of nd( C )–( AB )
tes of high probability. In this example, we see that the lowest probability
ing one molecule in the le chamber and one molecule in the right chamber is
(
that are relatively ordered, i.e. a large fraction of the gas molecules can B )–( AC )
½. and the states of high probability are )–( BC )
(A
he right or the left of the container; us, we construct our histogram accordingly. Notice that for our case of two
e the system is relatively disordered.
identical molecules, there are three (n + 1) possible con gurations and that there
But while each con guration of the three molecules has the same probability !"#$%&&'()*%+,)$"().%/% s more pronounced: e histogram peaks in the middle, corskewed being distributedor the other is increasingly unlikely
Chapter 4
lecules to one chamber equally between the two chambers,
Chapter 4
lecules is increased. sides of the distribution,4and there are
Chapter 4
Chapter
o uniformly on both
ossible states.
The
e for the Case for 100 Molecules
is to 3 Molecules
ase for 3 case for which we have not 10, but 100 molecules,
Molecules
forforhavethe individual counting is best done4by Chapter 4
3 Molecules
ime we 3 Molecules
lse Now added
.14.
computer,
Chapter
olich may sound like a
addrobability that all molecules reside in the le or in the right
ep addolD
only correspond to
how
ddhow
!D%A%D
ut
ero;
)pges. and, moreover, that the probability that the distribution
t addn he
ow chance of all offor 3
hanges. or to thechamber or the other is increasingly unlikely
utnt for 3 Molecules Molecules Chapter 4
how The one
se left to Caseright
skewed
to the
ees.
gerent
Chapter 4
Three Molecules
a
ro.nges.ofis increased. Three Molecules
of In
lecules
Chapter 4
altcase two possibilThree Molecules Hundred Molecules Chapter 4
nrentfact, the mololur
e of !"#$"%&'(&&()*'+'),%*#'.%,"'%
/(&*'.,%!"#$%&'%%#)%'),&0123
%%%%%%%45 D E o so
ofeven be skewedadd Three Molecules
%%%%%%%65% E
d, of we will keep to
fp add@
ts of
E
r
minishes nd out how
!E%A%F
ules
stem and rapidly as we 100 Molecules
ut for
The Case for
lecules
e divisionCase for 3
sal how 3 Molecules Molecules
of The of the molcon g
les
%%%%%%%75 @
hararuration changes.
D
by 3 The
eanges. this added
for Molecules
ed
s,cules eight diCase
imethat haveprocess, for 3 Molecules
cules,
e
r arlrent
e so so
ays, we two mol rent a Three Molecules
y is
Three Molecules
ase of throughout
olecules
at
ich may
ble,so sound
so case only four of
89#),:%;"'%)<+='&%0>%?(2.%,0%
ur we is of keepmola
 add will two like
ial but
that
ys, p
sosof rocess by aaddu
purely
tes
only iswe will keep addteis so
sh arrangements of
of
@
!@%A%B
rd,ow nd out how
add correspond to
states
that
m on
and
@
0=,(#)%(&&()*'+'),%%%%%%%%#.%!@%A%B5C
hhe
g
t
ft system.
eseanda...
View
Full
Document
This note was uploaded on 11/08/2012 for the course CHEMISTRY 109 taught by Professor Flemingcrim during the Fall '10 term at University of Wisconsin.
 Fall '10
 FlemingCrim
 Chemistry, Mole

Click to edit the document details