Obtain the grand partition function of a classical system of particles, inside a container of volume V , given by the Hamil- tonian

Obtain the grand partition function of a classical system of particles, inside a container of volume V , given by the Hamiltonian

Write the equations of state in the representation of the grand potential. For all reasonable forms of the single-particle poten- tial  u (r),  show  that  the  energy  and  the  pressure  obey  typical equations of an ideal gas.