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A system of particles has an entropy given by the formula SU,V,N=aU(V/N) where U is the...

  1. A system of particles has an entropy given by the formula

SU,V,N=aU(V/N)

where U is the thermal energy, V is the volume, N is the number of particles, and a is a constant.

  1. What are the units of the constant a?
  2. How many microstates are there for the macrostate described by the variables U, V and N.
  3. Write down the fundamental thermodynamic formula.
  4. Find the temperature T of the system in terms of the variables U, V and N
  5. Find the pressure P in terms of the variables U, V and N.
  6. Find the chemical potential μ in terms of the variables U, V and N.
  7. Find the enthalpy H in terms of the variables U, V and N.

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