Problems and Solutions on Thermodynamics and Statistical Mechanics
2 70 Problems d Solutiotu on Thermodynamics d Statistical Mechanics L 2lr (b) dn, = -dk, , L r dn, = -dk, , dn, = -dk,. 2T L 2.n ...
Statistical Physics 271 2098 Sketch the specific heat curve at constant volume, C,, as a function of the absolute temperature, T ...
272 Problems 8 Solutiom on Thermodynam’cs d Statistical Mechanica Solution: (a) When T = 0 K, the Fermi distribution is The dens ...
Stdimtical Physica 2 73 2100 1 (a) For a degenerate, spin - non-interacting Fermi gas at zero tem- 2' perature, find an expressi ...
2 74 Problem3 d Solutiow on Thermodylnmics d Statistical Mechanics (c) Assume that the velocity distribution is D(v)dv, then the ...
Statistical Physics 275 Solution: p = - (g) , where F is the free energy, F = E - TS. When T T = 0 K, F = E, and p=-(g) T. 2 Usi ...
2 76 Problems €4 Solutions on Thermodynamics €4 Statistical Mechanic8 2102 Fermi gas. Consider an ideal Fermi gas whose atoms ha ...
Statistid Physic8 277 where kTz = -p + E. As p/kT >> 1, we can substitute 00 for the upper limit of the second integral in ...
2 78 Problems 8 Solutions on Thermodytomics d Statistical Mechanics ii2 2m and the kinetic energy of an electron is E = -k2. Com ...
Statidtical Phyaics 2 79 energy per particle, (c) the pressure, (d) the Pauli spin susceptibility. Show that in Gaussian units t ...
280 Problems d Solutionn on Thermod~nam'cs d StaciJtical Mechanics The corresponding total energies are Hence the average energy ...
Statistical Phyaca 281 4s 3 The volume of the nucleus is given by V = -RiA, Ro M 1.4 x Please give the result in MeV. cm. (Chica ...
282 Problems 8' Sdutio~ on Thermodynom'ce tY Statisticd Mechanics 2107 At low temperatures, a mixture of 3He and 4He atoms form ...
Statiaticd Physics 283 h2 213 EF.=----(~) 2m. (b) For an ideal degenerate Fermi gas at low temperatures, only those particles wh ...
284 Problems tY Sdutio~ on Thermodpam’cs EC Statistical Mechanics Solution: P<PP .. giving n = - = - With meC PF = - 10 we ha ...
Statistical Physica 285 temperature is lo8 K and assuming that the ‘ion gas” can be regarded as a Maxwell-Boltzmann gas, and hen ...
286 Problems €4 Solutiona on Thermodynamics d Statistical Mechanics (c) F'rom the virial theorem, we have ($R3ne) :hc (2) 'I2 = ...
Statistical Phyaics^287 The Fermi energy of the nucleons is me 1 EF,~ = EFe- = -EFe. m, 1840 (c) EFc/k = 4 X lo8 K> lo7 K. EF ...
288 Problems €4 Solutiotu on Thermodymmic~ €4 Statistical Mechanics 2112 Assume that a neutron star is a highly degenerate non-r ...
Statistical Physic8 289 Solution: The energy of a non-interacting degenerate electron gas is: PP Ep2 E=8nVL zdp where E is the e ...
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