Problems and Solutions on Thermodynamics and Statistical Mechanics
330 Problems E/ Sdutiom on Thermodynamic8 d Stati~ticd Mechanic8 Hence H = -~JNAA - 2(-PJ + p0Ho)N~ + (-PJ/2 + poHo)N. (a) The p ...
Statistical Phyaics 33 1 or @ +- PJm = tanh-' m kT kT With Ifo = 0,m = tanh. Therefore, only when T < T, = PJ/k, has the abov ...
332 Problems d Solutions on Thermodynamics €4 Statistical Mechanics 2144 Consider a gas of hard spheres with the 2-body interact ...
Statistical Physics 333 2145 A classical gas of N point particles occupies volume V at tempera- ture T. The particles interact p ...
334 Problems €4 Solutions on Thermodynamics d Statistical Mechanics Keeping the first two terms, we have N2 2v = VN (1 + -. (-.I ...
Stdiaticd Physic3 335 Notice the scaling property 4(7r) = 7-n4J(r) for any 7. From this, and from scaling arguments (e.g. applie ...
336 Problems d Solutions on Thermodynamics d Statistical Mechanics On the other hand, from U=F-T(g) V , P=-(%) T , 3 3 n we have ...
Statistical Physics 337 (CUSPEA) we have e--u@x3 = 1 - apz3 +... m 1 - apx3 , and hence ...
338 Problems d Solutions on Thermodynamics d Statiaticd Mechunics (c) The given potential is as shown in Fig. 2.32. Letting 27 a ...
Write the equation of continuity for p, the phase space density, and use it to show that the entropy of this system is constant ...
340 Problems^8 Solutions on Thermodynamics 6' Statistical Mechanics i.e., along the phase orbit the energy decreases. In other w ...
Statistical Physics 341 2150 Consider a cube, 10 cm on a side, of He gas at STP. Estimate (order of magnitude) the number of tim ...
342 Problema d Solutions on Thermodyornics €4 Statistical Mechanics 2152 Even though there is a high density of electrons in a m ...
Statiatical Phymcs 343 velocity is v, and the mean collision time is 7. We have 1 kT l=-=- % 4 x nu pa m , 1 r=--4~10-~s. V (b) ...
344 Problems 8 Solutions on Thermodynamics tY Statistical Mechanics i.e., the numbers of collision are equal. Hence (c) When 11 ...
Statistical Physics 345 Solution: As molecular diffusion is a random processl we have L~ = nL2 , where L is the total displaceme ...
346 Problems t3 Solution, on Thermodynamics 6' Statistical Mechanics 2158 In an experiment a beam of silver atoms emerges from a ...
Statistical Physics 347 2159 Scattering. The range of the potential between two hydrogen atoms is approxi- mately 4A. For a gas ...
348 Problems €4 Sdutiom on Thermcdylam'cs 8 Statistical Mechanics Assuming v(0) = 0, we have u(t) = ~(s) exp[(s - t),O]ds , l wh ...
349 This can be written as with Tt ((Az)~) = - x X = 7/2k cx 7 2161 A box of volume 2V is divided into halves by a thin partitio ...
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