Black hole evaporation is investigated in a (1+1)-dimensional model of
quantum gravity. Quantum corrections to the black hole entropy are co
mputed, and the fine-grained entropy of the Hawking radiation is studi
ed. A generalized second law of thermodynamics is formulated, and show
n to be valid under suitable conditions. It is also shown that, in thi
s model, a black hole can consume an arbitrarily large amount of infor
mation.