Problems and Solutions on Thermodynamics and Statistical Mechanics
250 Problems d Solutio~ on Thermodynamics d Statistical Mechanics Solution: constant at high temperatures. So it is an insulator ...
Statistical Phymcs 251 Solution: Graphite is an insulator and its specific heat is contributed entirely by the crystal lattice. ...
252 where Problems d Solutiona on Thermodynamics d Statistical Mechanics 00 ((3) = c n-3 m 1.2. n= I So that the specific heat i ...
Statistical Physics 253 uvolume” (length) specific heat. (a) Compute c, for the regime T + 00. (b) For T + 0 c, -+ Aw-“Tr , wher ...
254 Problems d SdlLtiond on Thermodytamics d Statistical Mechanics Because exp(-thw/rkT) decreases rapidly as t -+ 1, we have wh ...
Statistical Physics^255 In terms of the thermodynamic potential In Z, 1 = -E. 3 Note that this equation also applies to an ultra ...
256 Problems 8 Solution3 on Thermdpmics 8 Statistical Mechanics 2085 Consider an ideal quantum gas of Fermi particles at a tempe ...
Statistical Physics 257 2080 In a perfect gas of electrons, the mean number of particles occupying a single-particle quantum sta ...
258 Problems d Solutions on Thermodynamics 6' Statistical Mechanics (c) The variation of Ni versus Ei is as shown in Fig. 2.18. ...
Statistied Physica In this approximation, 259 That is, the non-degeneracy condition is kT >> (8) /2Do = PO. (c) When T = 0 ...
260 Problems d Solutiotu on Thermodynamic8 6' Statistical Mechanics The number of electrons in the continuum (weak-degeneracy ap ...
Statistical Physics 261 as shown in Fig. 2.19, Fig. 2.19 and that at T = 0 all states with E < 0 are occupied while the other ...
262 Pwblema d Sdutiona on Therdpam'ca^8 Statistical Mechanica while some electrons occupy states of E > E~. The number of ele ...
Statistical Physics 263 2090 (a) Calculate the magnitude of the Fermi wavevector for 4.2 x 1021 (b) Compute the Fermi energy (in ...
264 Problems €4 Sdutioru on Thermodyurm’cs €4 Stati3tical Mechanics We have D(E) = fi. const. Then leF&&da - iEF * & ...
266 giving 2093 Consider a Fermi gas at low temperatures kT << p(O), where p(0) is the chemical potential at T = 0. Give q ...
be considered as free electrons) in a metal with N = loz2 electrons/cm3 at T=OK. (UC, Berkeley) Solution: From the density of st ...
Stdimtical Physics 267 Fig. 2.20. Solution: The density of states is 47rV ( 2m)3/2 h3 D(E) = (a) If T = 0, the total number of e ...
268 Problems €4 Solutions on Thermodynamics €4 Statistical Mechanics where 2096 For Na metal there are approximately 2.6 x condu ...
Statistical Physics 269 2097 The electrons in a metallic solid may be considered to be a three- dimensional free electron gas. F ...
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