Need help understanding this question. So as far as I understand, the flow rates
ID: 900735 • Letter: N
Question
Need help understanding this question.
So as far as I understand, the flow rates and composition of feed streams to each reactor are identical, they both have the same volume, no cell maintenance effects, no product formation, no mass transfer limitations. But ammonium conversions are not the same. The concentration of the ammonium coming in is the same, at 4.8g/l.
For part (a) it says that the substrate conversion for the first reactor is 70% and I found that the end concentration would be 1.44g/l but there's not enough information to figure out the conversion of reactor 2 right?
It is substrate inhibition, so that can be modeled as mu = (mu_max * S)/(Ks + S + S^2/Ki) , mu = growth rate, mu_max = max growth rate, S = steady state substrate concentration, Ki = constant.
Doing a mass balance on X (cells) dX/dt = -(F/V)X + X(mu_max *S)/(Ks + S + S^2/Ki)
Then solving for S, S = (Ki/2D){(mu_max - D) + [(mu_max - D)^2 - (4D^2 - Ks)/Ki]^(1/2)}
1. Consider the growth of Enterobacter aerogenes in each of two independent chemostat operations, each of volume 500 L, each operating at steady state. The feed to each bioreactor is sterile, and of identical flow rate and composition in each case. Cell maintenance effects in each bioreactor are negligible, and product formation in each bioreactor is negligible. Growth of E. aerogenes in each bioreactor is limited by ammonium ion delivered to each bioreactor at a concentration of 4.8 g/L), such that /4 S/(Ks+S+STK), where imax 0.23 h , K = 0.16 g/L and K-28 yL Finally, mass transfer limitations in each bioreactor are negligible, but ammonium conversions are not the same. In responding to parts (a) through (h) below, if any quantity requested cannot be determined based on the information provided, briefly explain why that is so (5) Suppose ammonium conversion in bioreactor 1 is 70%. Determine the ammonium conversion in bioreactor 2. Determine whether the cell concentration in bioreactor 1 would be less than, equal to, or greater than the cell concentration in bioreactor 2. (5) b.Explanation / Answer
The correct answer for 5 (a) would be that even thought it is mentioned that "ammonium conversions are not the same" the data to calculate the difference in conversion between the two reactors is not provided.
So we can say that the data provided is not inform to determine the conversion of ammonium ion in bioreactor 2. As all informations provided point to the fact that ammonium ion conversion should be same except for the statement "ammonium conversions are not the same" which is not supported by adequate data.