Neutrino opacities important in the evolution of a proto-neutron star conta
ining quark matter are studied. The results for pure quark matter are compa
red with limiting expressions previously derived, and are generalized to th
e temperatures, neutrino degeneracies and lepton contents encountered in a
proto-neutron star's evolution. We find that the appearance of quarks in ba
ryonic matter drastically reduces the neutrino opacity for a given entropy,
the reduction being sensitive to the thermodynamic conditions in the mixed
quark-hadron phase. (C) 2001 Elsevier Science B.V. All rights reserved.