e = e(v) = where a and y are positive constants. Use the fact that the number of microscopic the system is given by: N! N! N(E, N) N4! (N – N;)! (E/e)! (N – E /e)! | | Obtain an equation of state for the pressure, p =p(T,v), and an expression for the i compressibility (note that the constant y plays the role of the Grüneisen parame solid). Again, as e = e(v), we can write s = s(u, v).
e = e(v) = where a and y are positive constants. Use the fact that the number of microscopic the system is given by: N! N! N(E, N) N4! (N – N;)! (E/e)! (N – E /e)! | | Obtain an equation of state for the pressure, p =p(T,v), and an expression for the i compressibility (note that the constant y plays the role of the Grüneisen parame solid). Again, as e = e(v), we can write s = s(u, v).
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Please don't use partition equation
Transcribed Image Text:Consider the semiclassical model of N particles with two energy levels (0 and e > 0).
Suppose that the volume of the gas may be introduced by the assumption that the energy of
the excited level depends on
V =
a
e = e(v)
vr'
E =
where a and y are positive constants. Use the fact that the number of microscopic states of
the system is given by:
N!
N!
N(E, N) :
N4! (N – N,)! (E/e)! (N – E /e)!
Obtain an equation of state for the pressure, p = p(T,v), and an expression for the isothermal
compressibility (note that the constant y plays the role of the Grüneisen parameter of the
solid). Again, as e =
:E(v), we can write s =
s(u, v).
From the equations of state, it is easy to write the isothermal compressibility.
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