It is a noted fact that the composition of a mixed solid phase grown at non
-equilibrium can deviate from the equilibrium composition due to the very l
ow diffusion rate in the solid phase. We present an analytical model for th
e determination of the kinetic composition of a binary solid phase that is
growing from a solution at a given supersaturation, giving rise to kinetic
phase diagrams. The model is derived for growth at rough surfaces but is ex
pected to apply also to growth at non-roughened surfaces. Kinetic phase dia
grams for different undercooling and excess energy parameters are presented
and discussed. If the interaction parameters, describing the excess free e
nergy, are large the model equations can have two stable solutions, which i
mplies the simultaneous growth of two solid phases with different compositi
ons. This kinetic phase separation depends on the undercooling and the comp
osition dependence of the attachment probabilities.