Problems and Solutions on Thermodynamics and Statistical Mechanics
230 Problems 8 Soldiona on Thermodynamics fY Statistical Mechanics Solution: (a) The number of particles is (b) In the approxima ...
Statistical Physics 231 2064 Consider a quantum-mechanical gas of non-interacting spin zero bosons, each of mass m which are fre ...
232 Problems EI Sdutiom on Therdyam'ca EI Statistical Mechanics 2065 A gas of N spinless Bose particles of mass m is enclosed in ...
Statistical Phyaica 233 The result is shown in Fig. 2.15 (c) With E = - P2 we have N= - 2m or dx ex-%, - 1 ' 2T h3 N/V= - (2mkT) ...
234 and ProMems d Solutions on Thermodynam'cs €4 Statistical Mechanics (f) When T < T,, we have 2aV O3 x3f2dx e2-1 U = F(2m)3 ...
Statiaticd PhyJics 235 where kg is Boltzmann’s constant. The stationary one-particle wavefunc- tion is where E = A2k2/2m. Thus w ...
236 Problems d Solutions on Thermodynamics d Statistical Mechanics 2067 Consider a gas of non-interacting, non-relativistic, ide ...
Statistical Physics 237 Determine the form of p(w), the spectral density of the energy. (d) What is the temperature dependence o ...
238 Problems d Solutioru on Therdyurmics d Statiaticd Mechanica Solution: (a) The density of states is D(&)da = a!VE2ds , wh ...
Statistical Physics 239 Solution: p + dp is given by (a) The mean electromagnetic energy in the momentum interval p -+ V 4~p'dph ...
240 Problems d Sdutiom on Thermcdpam'ca d Statistical Mechanics (b) Repeat the calculation, now using quantum ideas, to obtain a ...
241 (c) The energy radiated from the hole per unit time is 00 ucc 1 u,dvoc T4. 2072 Electromagnetic radiation following the Plan ...
242 Problems El Sdutio~ on Thermcdynam'cs El Statistical Mechanics Solution: of photons in the interval dadn: Considering black ...
Statistical Phyaics 243 Thus where (b) The energy density is therefore C, rn T3. 2075 As you know, the universe is pervaded by 3 ...
244 Problems # Solutiom on Thermodynamics d Statistical Mechanics total energy E o( VT4. From t#he formula TdS = dE + pdV, we ha ...
Statistical Phyaic~ 245 The total number of photons is then where E(k) = hkc for photons and p = &. The factor 2 is due to t ...
246 Problems tY Solutions on Thermodpamics €4 Statistical Mechanics 90%. This gives an upper limit to the weak interaction cross ...
Statistical Physics 247 The total number of photons is The total energy is w 2.6 x ergs , (b) The Fermi momentum of the electron ...
Solution: (a) The energy of black body radiation is E=2//- dnpdnq AW (2nh)n ehwl2nkT - 1 For the radiation we have p = Aw/c, so ...
Statiatical Phyaica 249 (c) The theorem of equipartition of energy gives the constant volume 1 specific heat of a molecule as c, ...
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