1. Boltzmann statistics predict the probability that atoms orparticles will be at the level of
The energy E (s) is equal to P (s) where
P (s) = e ^ −E (s) â„kT / Z
Where Z is the Partition function and Z = ∑ e ^ −E (s) â„kT
1.1 One hypothetical particle has 3 energy levels, -0.05 eV, 0eV and 0.05 eV. Write a graph between Z and kT and
Describe the graph (Recommended: Use programs likeMathematica)
1.2 If the particle is in balance with the environment (Reservoir)at 300 K, find the probability that the particle will be at theenergy level
all three
1.3 If the particle is in balance with the environment (Reservoir)at 1000 K, find the probability that the particle will be at theenergy level
All three compare with the result in item 1.2.
