A sidestream derived from mesophilic anaerobic digestion of primary and waste activated sludge is produced at a equalized daily volume of $600$ m$3/$d and contains an ammonium concentration of $900$ mg N$/$L$.$ For the three biological treatment options, nitrification$-$ denitrification, nitritation$-$denitritation and deammonification,

a$.$ Calculate the daily biological heat generated by the three processes in megajoules$/$day using the following performance conditions:

i$.$ Ammonium$-$N removal efficiency $95\%$ in all processes

ii$.$ NOx$-$N removal efficiency $95\%$ for denitrification and denitritation

iii.Denitrification of the nitrate produced by the anammox reaction with sidestream degradable carbon is not significant; thus, this reaction can be excluded from the heat calculation.

iv$.$ Net sludge yield, YH $50\mathrm{.}2$ g VSS$/$g COD and is applicable to denitrification and denitritation.

b$.$ Determine if the biological heat generated in the three processes is sufficient to increase the reactor temperature beyond a maximum limit of $38\backslash$deg C$.$ If the temperature will exceed $38\backslash$deg C$,$ determine the fraction of the biological heat in each process that must be removed or absorbed via dilution water addition. The equalized sidestream has a peak temperature of $35\backslash$deg C