Answer:
Here, the total number of particles => 1000 = n1 + n2 (1)
As given in the expression;
n2 = n1exp-dE/KbT (2)
Hence, for the calculation of n1, we will substitute the value of value of n2 in equation (1)
and n1 can be given as n1 = 1000/(1 + exp-dE/KbT)
and n2 as: n2 = n1*exp-dE/KbT
Here, we are considering the a Temp. step of "10K" for the calculation of particles.
The data for the correspondence graph is
T n1 n2
2 1000 1.8678E-13
12 997.61484 2.38516
22 964.16779 35.83221
32 905.81187 94.18813
42 848.7204 151.2796
52 801.06216 198.93784
62 762.83351 237.16649
72 732.23988 267.76012
82 707.51216 292.48784
92 687.25503 312.74497
102 670.42975 329.57025
112 656.27207 343.72793
122 644.21703 355.78297
132 633.84237 366.15763
142 624.82827 375.17173
152 616.92915 383.07085
162 609.95392 390.04608
172 603.752 396.248
182 598.20335 401.79665
192 593.21117 406.78883
202 588.6967 411.3033
212 584.59517 415.40483
222 580.85292 419.14708
232 577.42511 422.57489
242 574.27401 425.72599
252 571.36765 428.63235
262 568.67877 431.32123
272 566.18397 433.81603
282 563.8631 436.1369
292 561.69867 438.30133
300 560.06947 439.93053
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