The conversion of radiant light energy into chemical affinity by micro
organisms in photobioreactors is examined. The kinetics of entropy pro
duction in the system is theoretically established from entropy and en
ergy balances for the material and photonic phases in the reactor. A n
egative chemical affinity term compensated for by a radiant energy ter
m at a higher level of energy characterizes photosynthetic organisms.
The local volumetric rate of radiant light energy absorbed, which appe
ars in the dissipation function as an irreversible term, is calculated
for monodimensional approximations providing analytical solutions and
for general tridimensional equations requiring the solution of a new
numerical algorithm. Solutions for the blue-green alga Spirulina plate
nsis cultivated in photoreactors with different geometries and light e
nergy inputs are compared. Thermodynamic efficiency of the photosynthe
sis is calculated. The highest value of 15% found for low radiant ener
gy absorption rates corresponds to a maximum quantum yield in the reac
tor.