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  3. problem 3 digestion in cows farmer michael is interested in...

Question: problem 3 digestion in cows farmer michael is interested in...

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Problem 3: Digestion in cows Farmer Michael is interested in the digestion capabilities of the the cows on his farm Interestingly, cows have 4 stomachs that allow them to digest grass and can be modeled as isothermal liquid-phase CSTRs in series each with a volume of 20 L, given that these cows graze throughout the day. A 1000 lb cow wl consume approximately 170 lbs (mass basis) of grass evenly over an 8 hour period of time. Enzymes in the cows stomachs can convert the cellulose in grass to fatty acids that are used in metabolic pathways. The rate of cellulose consumption follows Michaelis-Menton Kinetics, which kmarCA KM + CA where kmax :-2.8 mol/(L*hr) and TA are typical for enzymatic reactions: KM-14 mol/ L. Grass has a bulk density of 1.11 g/cm3 and approximately 10.5% of the grass by weight is cellulose (molecular weight 162 g/mol) a. What conversion of cellulose do cows achieve by the exit of their fourth stomach? (78%) b. What conversion would they achieve if they only had one stomach with the same total volume as the four stomachs combined? [65%] What conversion would they achieve if their stomach was instead, more similar to a PFR? [83%)
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