I proposed that the kinetic energy of molecules in
one dimension (x) can be calculated from this equation:
1
E* = m N((V₂ + V)²)
The symbols have their usual meanings. I expanded the angular bracket as (V²) +
2(VV) + V², but then dropped the second term.
1. Explain in detail that my action (i.e., neglecting the second term) is justified and
then calculate chemical potential in one dimension using appropriate
thermodynamic relationships.
2. What will be Helmholtz and Gibbs free energies of this system considering all
three dimensions.
Fig: 1