Problems and Solutions on Thermodynamics and Statistical Mechanics
210 Problems^8 SokdhS on Thermodynamics d Statistical Mechanics is the number of symmetric spin states. where 6 = h2/87r21k, I b ...
Statistical Phvsics 211 Solution: The wave function of N2 is symmetric as "14 is a boson. The spin wave functions of N2 consist ...
212 Problems 8 Solutions on Thermodynamics d Statistical Mechanics When T --+ 0, the relative abundance -+ 00. All the para-mole ...
Statistical Physics (c) When T # 0, 213 n= 1 That is to say, because of thermal excitation (no matter how low the tem- perature ...
214 Pwblema tY Solutions on Thermodynamics 6' Statistical Mechanics Inserting El = -13.6 eV, E3 = (-13.6/9) eV, and kT = (2/3) e ...
Statistical Physics 215 energy is E. We suppose that the energy of the system is much higher, say infinitely high, when both orb ...
216 Problems d Solutioru on Thermodynamics d Statistical Mechanics in volume element dxdydz at height z is dN' = noe-mg"/kTdzdyd ...
Statistical Physic8 217 and 5 mgL e = -kT 2 - emgLlkT - 1 ' ae 5 k(rngL)2 emgLlkT aT 2 (kT)2 (emgLlkT - 1)2 C" = - = -k- 5 Tk, f ...
218 Problem8 d Sdutiona on Thermcdwmica d Statidical Mechunics The Hamiltonian for the system is (b) The partition function is ( ...
Statiaticd Phyaica 219 Solution: r. But in the rotational system S‘, the energy of a particle is In the rest system S, the energ ...
220 Problem8 d Solution8 on Thermodynamics d Statintical Mechanic8 Suppose that the number density of protons is 101'/cm3. Find ...
Statistical Phyaica 221 Solution: (a) The partition function is z = exp(x) + exp(-x) , where x = pgH/kT. (b) The total magnetic ...
222 Problems d Solutiona on Thermodynamics d Statistical Mechanice a(u) - -hT- - - Nk( 1 - z2csch2z2). aT (b) c = - - dT 2056 Co ...
Statistical Physic8 223 (b) The average magnetization of the gas at temperature T is At high temperatures, PH - << 1. Let ...
224 Problem3 d Solutiom on thermodynamic^ d Statistical Mechanics Solution: (a) The partition function is J = empHIkT = sinh m=- ...
Statistical Physics 225 The classical partition function is (2 cos 61 cos 82 - sin 81 sin 62 cos(pl - p2))] dnldQ2. As X = pMlM2 ...
226 Then Problems d Solutiom on Thermodynamics d Statiaticd Mechanics The condition for classical approximation to be valid is t ...
Statidid Physics 227 Solution: (a) The energy of a dipole in electric field is ~,=-p.E=-pEcosB, The partition function is then T ...
228 Problems €4 Solutiotu, on Therrncdytmmics Ec Statistical Mechanics (b) We assume C > 0. The change of U with T is shown i ...
statiatical Phymca 229 N! Hence S = klnn = kln- no!nl! (b) nl/no = exp(-E/kT), where we have assumed the energy levels to be non ...
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