Answer the followings part of the questions$-$

a$)$ A system having the continouous process of the Effluent Treatment Plant on Everyday is $10$ to the power $5$ kg cellulose and $10$ to the power $3$ klebsella species added in the system. while $10$ to the power $4$ kg cellulose is left and $1\mathrm{.}5$ x $10$ to the power $4$ kg klebsella remains in the Effluent. The rate of cellulose degradation by klebsella is $7$ x $10$ to the power $4$ kg per day and the rate of bacterial growth is $2$ x $10$ to the power $4$ kg per day and the rate of bacterial cell death or lysis is $5$ x $10$ to the power $2$ kg per day. Write the mass balncebalanced equation for bacteria and cellulose and also calculate the mass accumulated within the system.

b$)$ Humid air enriched with oxygen is prepared for a gluconic acid fermentation, this air prepared in special humidifhumidity chamber where $1\mathrm{.}5$ litre per hour liquid water enter the chamber at the same time, dry air and $15$ g mole per min dry oxygen also enter and all the water get evaporated, the outflow gas founfound to comtaintain $1$ percent w$/$w water. Draw and label the diagram for this process by same unit.

c$)50$ gm benzaldehyde vapour are condensed at $179\backslash$deg C $,$ what is the enthalpy of the liquid related to the vapour. It is given that molecular weight is $106\mathrm{.}12$ and boiling point is $109\backslash$deg C and standard heat of vaporization is $38\mathrm{.}80$ K Joule per gram mole for condensation, the latent heat is given by $38\mathrm{.}4$ KJ per gram mole for condensation.

d$)$ A strain of Azetobactor is cultured in a $15$ metre cube fermentor for the alginate production where the current operating procedure where the current operating procedure K subscript L A $=0\mathrm{.}17/$ sec and Oxygen solublity in the broth is $8$ x $10$ to the power $-3$ kg $/$m cube, So calculate the maximum possible cell concentration, when the specific rate of Oxygen uptake is $12\mathrm{.}5$ m mole$/$g$/$hour$.$ Bacteria suffer from the growth inhibition after CuSO$4$ is added in the medium, this causes the reduction in the oxygen uptake and now Oxygen uptake rate becomes $3$ m mole $/$g$/$hr at this condition. What X max can now be supported by the fermentor?