Consider a classical, ideal gas, consisting of N particles of mass m in aninfinitely extended volume with the limits 0 < x < z*tan (α), 0 < y < b and z > 0.It applies 0 <α < π/2. The total energy of the N particles is E.

a) Show that the micro-canonical partition function can be written as

Omega = K_N*C^N*E^(7/2*N) .

Here KN only depends on N and it applies

C = (2π)^3/2*b*tan(α)/(sqrt(m)*g²)

b) Calculate the caloric equation of state and the heatcapacity.

c) What is the meaning of the “generalized” forces associatedwith the external parameters α and b?

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Answer Qa The fundamental quantity in the microcanonical ensemble is displaystyle WEVN which is equal to the phase space volume compatible with given displaystyle EVNFrom displaystyle Wall thermodynam... View the full answer