Question

Need ASAP

2. There is a system with infinite evenly spaced energy levels, with the ground state at true zero. The spacing is cquivalent to 100cm-1. The levels are doubly degenerate in the ground state, then singly degenerate, then doubly degenerate, etc. (Please see the figure.) The partition function can be found both numerically and analytically. At 27C, how many levels must be included in a summation to ensure numerical accuracy to 10%? How many levels must be included in a summation to ensure numerical accuracy to 0.1%? At that temperature, and assuming you have Avogadro's number of copics, what is E, U, and S? Evenly spaced energy levels, continuing to infinity,- with the first energy level at exactly 0, --

Answer 1

メ spacing is 48D

N evem 굳 aw 2DN ZR DN

N is odd S* a HI)

NA 2 SD 2-1 e 10-飆 1000 xc62㎝34,3 - 0048 7 CAN Xioo

DN l0 DN 2 0 048N 0.048 N 0 048 47.956 eve accura 0048 0.0848 [O l-t 2 e 0048 0048 N .841 k 30413 h 3.8413 - 47.G3 0.048

ol IN 2 [000 0.048 2 143:31 144 0.048 N 016x103 - 984.13 381.13 A 143.5

2te 2t e e 20) 2 e 2 H e 1-е re 32.96 x 20 12

8 ← 23 23 (^1.83, -1.139) X10-20 -26