In: Physics
Consider a two-state system as shown:
E1 = 0.05 eV
E0 = 0 eV
The system is in a thermal reservoir at temperature T.
a) [4 points] What is the entropy of the system at a temperature of T = 0 K? Explain your reasoning.
b) [4 points] Find the approximate entropy of the system at a temperature of ? = 1010 K. Explain your reasoning.
c) [6 points] Find the temperature T at which the system is 4 times as likely to have energy E0 as it is to have energy E1.
d) [6 points] Suppose the temperature of the system is T = 300 K. Find the average energy of the system.