We investigate sublimation and chemical sputtering of refractory grain
s. The general time-dependent treatment of these two physical processe
s, as well as the limit in which the time-independent description can
be used, are discussed. We follow the evaporation of dust in the physi
cal environment characteristic of the central regions of the outer pro
tostellar core, as envisaged by current hydrodynamical models. We find
that destruction of silicate grains occurs via sublimation and procee
ds under quasi-equilibrium conditions. Evaporation of carbon grains is
on the opposite dominated by chemisputtering by H atoms (at T less th
an or equal to 1000 K) and H2O molecules (at T > 1000 K). The effectiv
eness of these mechanisms may receive a further boost from the high su
rface density of active sites characteristic of amorphous materials. B
ecause the destruction of carbon grains takes place under nonequilibri
um conditions, dust disappearance is coupled to the hydrodynamical evo
lution of the system in which it occurs. Even more critical however is
the interplay between processes of growth/destruction of dust grains
and gas-phase chemical reactions. The Rosseland mean opacity K, decrea
ses by a factor of 4 around 1100 K, because of the destruction of carb
on grains, and by a factor of about 500 at 1300 K, where the evaporati
on of silicates marks the disappearance of the bulk of dust. We additi
onally model the sublimation of aluminum oxide grains which, if indeed
present, would dominate the opacity at higher T, until they also disa
ppear around 1720 K.