In this series of two papers we study the thermodynamics of binary har
d chain mixtures. Here, a generalized Flory-dimer (GF-D) equation of s
tate is derived for binary hard chain mixtures composed of chains of v
ariable length and segment diameter. Compressibility factors predicted
by the GF-D equation of state developed here and by the previously de
rived generalized Flory equation of state are compared to previous Mon
te Carlo results for hard monomer/hard chain mixtures, and to new mole
cular dynamics (MD) hard monomer/hard chain and hard chain/hard chain
mixture simulation results. Compared to the MD simulations, the GF-D t
heory is found to be quite accurate, with an average error of about 3%
at liquid-like densities. (C) 1996 American Institute of Physics.