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2E 3V Recall that one can show that for an ideal monatomic (and nonrelativistic) gas, į = 38. p However, often one has t
Posted: Mon May 09, 2022 1:39 pm
by answerhappygod
- 2e 3v Recall That One Can Show That For An Ideal Monatomic And Nonrelativistic Gas I 38 P However Often One Has T 1 (201.97 KiB) Viewed 40 times
2E 3V Recall that one can show that for an ideal monatomic (and nonrelativistic) gas, į = 38. p However, often one has to assume that, in equilibrium, the mean pressure on every wall of the rectangular container was the same. Now, you can prove that fact under rather general conditions. Proceed as follows: (a) Show that the mean pressure on the wall perpendicular to the x direction is given by ħ- TT 2 no ( TC) ( Pr = nr(€r, 0,B) mV L T r where the orbital r has energy ér and is specified by the quantum numbers Nz, Ny, and nz. n (€r, a, 8) is the mean occupation number in either FD, BE, or "fudged classical” statistics) of orbital r. Corresponding expresions hold for Py and Pz. (b) Assume that the temperature is high enough that a large number of orbitals are occupied. In that case, ng, Ny, and nz may be treated as continuous variables. Use this fact to rewrite pc above as an integral over ny, ny, and nz. (This is the same manipulation we've done plenty of times here.)