A small system with 1022 degrees of freedom is in thermal eq
A small system, with 10^22 degrees of freedom, is in thermal equilibrium with a large reservoir at 300K. What is the average thermal energy distribution epsilon? What is the standard deviation sigma of the probability distribution of energy around epsilon? What is the coefficient of variation (relative size of peak) for this probability distribution?
Solution
a. Mean value is zero as the probability function is a gaussian function around zero.
b. standard deviation = sqrt(Number of moles * degree of freedoms / 2)*k*T
c. Question is not clear. I need more information regarding this part
