Problems and Solutions on Thermodynamics and Statistical Mechanics
190 Problems^6 Solutions on Thermodynamics^6 Statistical Mechanics only the 1s orbital (which can be occupied by zero, one, or t ...
Statistical Physics 191 For H-, both electrons are in their ground state with total spin 0 (sin- glet), as the space wave functi ...
192 Problems tY Solutiotu on Tlrermcdytam'ca tY Stati~tical Mechanica a = 2 x 10' cm-' ro = 8 x lo-' cm. Estimate the temperatur ...
Statiationl Phyaca 193 Thus, rotation begins to contribute to the specific heat at T = 75 K, and vibration does so at T = 6250 K ...
194 Problems d Sdutio~ on Thermodynamics €4 Statistical Mechanics and the internal energy is The molar specific heat is hwo 6 x= ...
195 (b) The root-mean-square fluctuation is (c) When kT << hw, When kT >> hw, (E) -+ kT, AE -+ kT. 2033 Consider a s ...
196 Problema E/ Solutio~ on Thermcdynamica d Statintical Mechanics The specific heat at constant volume is c, = (g) = Nok (2-)ac ...
Statistical Physics 197 (The values marked on the vertical scale correspond to the height of the curve in each of the 'plateau" ...
198 Problem3 U Solutiow on Thermodynamic8 U Statistical Mechanics 2035 The quantum energy levels of a rigid rotator are E? = j(j ...
Statistical Physics 199 (c) For low temperatures, we need only take the first two terms of z, i.e., z = 1 + 3e-'lT, where 6 = h2 ...
200 Problems €4 Sdutiom on Thermodylom'cs d Statiaticd Mechanics (b) At high temperatures BIT << 1 and exp[-Oj(j + 1)/T) c ...
Statistid Physica 201 Solution: (a) The partition function of the system is 03 z = c(2J + 1) exp[-h2J(J + 1)/2IkT]. J=O The inte ...
202 PmMems d Sdutiom on Thermodynamics d Statistical Mechunica system, as a function of temperature. Do not attempt to evaluate ...
Statistical Physics 203 the first two terms j = 0 and j = 1 are important. Thus z = 1 + 3exp (-T). 3h2 exp (-$) (E) = - ' I 1+3e ...
204 Protdems d solutions on Thermodynamic8 d Statisticd Mechanic8 Solution: The hydrogen molecule is a system of fermions. Accor ...
Statiaticd Physica 205 Thus Er,p = 0, Er,o = A(l + 1) 1 = 2A = 180 K, giving From equipartition of energy, we have 3 Et = ...
206 Problems d soltltions on Thermodynum'cd d Statisticd Mechanics Solution: (a) The moment of inertia of the hydrogen molecule ...
Stati~tical Physic8 207 2042 In hydrogen gas at low temperatures, the molecules can exist in two states: proton spins parallel ( ...
208 Problems €4 Solutioru on Thermodynamics €4 Statistical Mechanics tion. m (a) I = ;d2, ;x (2 + 1) - h2 = 3- h2 I I' k6o = 2 6 ...
Statistical Phyaicn 209 (e) When T = 00/2, the partition functions for ortho- and parahydro- gen are where X = h2/4.1r2md2kT. It ...
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