Problems and Solutions on Thermodynamics and Statistical Mechanics

3 70 Problems €4 Solutions on Thermodynamics d Statistical Mechanics Solution: An apparatus that could be used is shown in Fig. ...

Statistical Physic8^371 Hence nvzP(v,)dv, = n (K)’”exp (--) MU; 27rM 2kT where n is the molecular number density. 2181 A gas in ...

372 Problems €4 Solutiom on Thermodynamics d Statistical Mechanics 2182 Find the rate of wall collisions (number of atoms hittin ...

Statistical Physics 373 2184 A beam of molecules is often produced by letting gas escape into a vacuum through a very small hole ...

374 Problems €4 Solutions on Thermddynam'cs 8' Statistical Mechanics (b) a fast molecule? Solution: ( wzs c 0 nsin) Consider the ...

Statistical Physics 375 2186 A simple molecular beam apparatus is shown in Fig. 2.40. The oven contains Hz molecules at 300 K an ...

376 Problema €4 Solutiona on Thermodynamica €4 Statiatical Mechanics (c) The most probable speed vZ, satisfies Hence vp=E. (d) T ...

Statistical Physics 377 thermal equilibrium and hence follows the Maxwell velocity distribution. If n is the number of particles ...

378 Problems d Solutions on Thermodynamics d Statistical Mechanics Fig. 2.41. Solution: aH Putting 22 = 0 and - = 0, we obtain b ...

Statistical Physics 379 potential well, the above integral can be approximated as follows: thus and '"\"I nlh\ - - 2rkT ...

380 Problems d Solutionn on Thermcdpam'cs d Statistical Mechanics Solution: The mean free path of the gas is With T = 400 K, d = ...

Statiaticnl Phyaics 381 2 190 (a) What fraction of H2 gas at sea level and T = 300 K has sufficient speed to escape from the ear ...

382 Problems d Solutions on Thermodynamics tY Statistical Mechanics (b) The average time required is the time needed for the H2 ...

Statistical Phy~ic~ 383 Atomic weight of sodium = 23. (CUSPEA) (a) We take observations along the z-direction. The Maxwell- Solu ...

384 Problems €4 Solutionn on Thermodynamics €4 Statistical Mechanic8 is its mean free path. As A = &, where n is the number ...

Statistical Physica 38 5 Note that the integral for the cross term v1 .vzflfz is zero. Hence E = 3kT/2. (b) The number of collis ...

386 Problems d Solutiom on Thermodynomic3 6' Statistical Mechanics Thus the molecular flux along the pipe is 4 = -Avo An Since w ...

Statistical Physics 387 and M is the ratio of the flow velocity v to the velocity of sound c at temperature T. (a) Derive the ab ...

388 Problems d Solutiona on Thermodynumice €4 Stdietical Mechanics PO P When - = 104,M = 11. (c) T = To (:)' = 7.5 K. (d) When T ...

Statistical Phyaica 389 good the vacuum ought to be if the beam is to remain collimated for at least 1 meter. (1 torr = ImmRg). ...