  We derive stochastic compressible Euler Equation from a Hamiltonian
microscopic dynamics. We consider systems of interacting particles with
H\"older noise and potential whose range is large in comparison with the
typical distance between neighbouring particles. It is shown that the empirical
measures associated to the position and velocity of the system converge to the
solutions of compressible Euler equations driven by additive H\"older
path(noise), in the limit as the particle number tends to infinity, for a
suitable scaling of the interactions. Furthermore, explicit rates for the
convergence are obtained in Besov and Triebel-Lizorkin spaces. Our proof is
based on the It\^o-Wentzell-Kunita formula for Young integral.
