Order Statistical Mechanics Discussion Questions

Order Statistical Mechanics Discussion Questions

Statistical Mechanics

Two containers of equal volume are connected. If there are four

molecules in the system, what is the probability (P) of all the molecules

being in one of the containers?

. What is the symmetry number (6) for CHCI,?

. What is the symmetry number (6) for methane?

. A system contains two identical particles and 50 quantum states.

Assuming the particles are localized, how many microstates are there in

the system?

. What is the entropy change (AS°) for the cooling of argon gas from 315 K (T,) to 273 K (T7})?

What is the approximate value of AS° for the following reaction?

Br Br(g) 31Br®!Br(g) > 2 ?Br® Brig)

Assume that the differences in the vibrational energy levels, molar

masses, and moments of inertia are negligible.

A system has two energy states separated by 3.0 x 10°3 J (e,-€ i).

The higher energy state (7) contains 45% of the particles. What is the

temperature (7°) of the system?

In general, the difference in energies (€,— € ip for translational energy

N; states is about 10~* J. What is the population distribution (