THE THERMODYNAMICS OF GASES 5. Show that the total partition function derived from equation 7.45, on the assumption that the energy of the N sub-systems is E = P+ P +P+ ... + 2m' 2m' 2m P&N PyN PEN 2m ' 2m ' 2m %3D agrees with that obtained by substituting equation 7.28 in equa- tion 7.31, i.e. VN . Z = 7.47 6. Using equation 7.3 obtain a value for log Wme in terms of the energy E and the number of systems N only. (Use must be made of the values of T and a given in Chapter 2.)

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THE THERMODYNAMICS OF GASES
5. Show that the total partition function derived from equation
7.45, on the assumption that the energy of the N sub-systems is
„ Pźn PN PåN
E =
2m ' 2m' 2m
+,
2m ' 2m
...
2m
agrees with that obtained by substituting equation 7.28 in equa-
tion 7.31, i.e.
VN
Z =
7.47
Nh(2mkT)³N12
6. "Using equation 7.3 obtain a value for log Wme in terms of the
energy E and the number of systems N only. (Use must be made
of the values of T and a given in Chapter 2,)
Transcribed Image Text:THE THERMODYNAMICS OF GASES 5. Show that the total partition function derived from equation 7.45, on the assumption that the energy of the N sub-systems is „ Pźn PN PåN E = 2m ' 2m' 2m +, 2m ' 2m ... 2m agrees with that obtained by substituting equation 7.28 in equa- tion 7.31, i.e. VN Z = 7.47 Nh(2mkT)³N12 6. "Using equation 7.3 obtain a value for log Wme in terms of the energy E and the number of systems N only. (Use must be made of the values of T and a given in Chapter 2,)
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