An anaerobic digester operates according to this reaction:

$160C{H}_3\frac{C}{O}O{H}_{\text{a}\text{c}\text{e}\text{t}\text{i}\text{c}\text{a}\text{c}\text{i}\text{d}}+8N{H}_{3}4C_{10}{H}_{18}{O}_5{N}_2+141C{O}_2+139C{H}_4+18H_{2}O$

acetic acid biomass

a$)$ What is yield of biomass on acetic acid $($grams per gram$)?$

b$)$ What is the heat of reaction?

c$)$ Suppose the feed flow rate is $50k\frac{g}{h}$ of which $2k\frac{g}{h}$ is acetic acid and the balance is water $($yes$,$ this is an oversimplification of sludge$).$ How much heat would have to be added to warm the inlet flow stream from $16C$ to $36C?$

d$)$ If all of the substrate $($acetate$)$ were converted, how much energy could be gained by burning the methane in the biogas?