1. The problem statement, all variables and given/known data For a given phenomena of macroscopic particles. If we model it using the canonical ensemble then we get a certain chemical potential u. But if we model it using the Grand Canonical system, we get a varying chemcial potential that depends on the average number of particles in the system. So two different chemical potentials for the two systems. But in the thermodynamic limit of n-> infinity, both u equals each other. That sounds right dosen't it?