We present the electronic specific heat coefficient gamma(T) for sever
al cuprate series determined from high resolution differential measure
ments. gamma(T) is consistent with Fermi statistics, a low degeneracy
temperature and at most a modest low temperature mass enhancement. We
show the progression of gamma(T) with hole doping for La2-ySryCuO4 and
the overdoped system Tl2Ba2CuO6+delta, and demonstrate that the rapid
fall in condensation energy in underdoped YBa2Cu3O6+x results from th
e growth of a pseudogap in the normal state quasiparticle spectrum. We
discuss the effects of Zn doping on superconducting and pseudogap cor
relations in YBa2Cu3O6+x.