  In this paper we study the zero dissipation limit of the one-dimensional full
compressible Navier-Stokes(CNS) equations with temperature-dependent viscosity
and heat-conduction coefficient. It is proved that given a rarefaction wave
with one-side vacuum state to the full compressible Euler equations, we can
construct a sequence of solutions to the full CNS equations which converge to
the above rarefaction wave with vacuum as the viscosity and the heat conduction
coefficient tend to zero. Moreover, the uniform convergence rate is obtained.
The main difficulty in our proof lies in the degeneracies of the density, the
temperature and the temperature-dependent viscosities at the vacuum region in
the zero dissipation limit.
