Gibbs energy and biomass yield. A fermentation process is performed using glycerol as the C$-$source and electron donor and $N{O}_3^{-}$as the $N-$source. $G_{\text{c}\text{a}\text{t}}=2500k\frac{J}{m}ol$ glycerol. The biomass composition is $C{H}_{1\mathrm{.}8}{O}_{0\mathrm{.}52}{N}_{0\mathrm{.}17}.$

a$.$ Calculate the Gibbs free energy for biomass synthesis $(Y_{xG}).$

b$.$ Calculate the maximum biomass yield per electron donor $(Y_{Dx}^{\text{m}\text{a}\text{x}}).$ What is the fraction of glycerol is used for anabolic reactions, and what is the fraction used for catabolism?