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2. I want to produce a product from cells using a multistage chemostat. In the first stage where the recycle stream is installed, substrate with
2. I want to produce a product from cells using a multistage chemostat. In the first stage where the recycle stream is installed, substrate with a concentration of 10g/L is supplied at a rate of 300mL/hr, and the recycle stream recirculates 10% of the volume flow rate supplied to the first stage. The volume of the first stage is 1000mL and the volume of the second stage is 500mL. It is assumed that only cell growth proceeds in the first stage and the growth rate follows the Monod relation, and only products are produced in the second stage. The yield coefficient of the substrate used, Yxys, is 0.6g X/gS. Regarding product production, qp=0.01gP/gXhr,Yp/s=0.05gP/gS. The measured value of the cell growth rate according to the concentration through the experiment \begin{tabular}{cc} \hline S[g/L] & [1/hr] \\ \hline 1 & 0.23 \\ 5 & 0.30 \\ 10 & 0.40 \\ 30 & 0.51 \\ 50 & 0.55 \\ 80 & 0.56 \\ \hline \end{tabular} is shown in the table. Please answer the following question. 1) Find the C value of the recycle stream for the substrate concentration of the first stage effluent stream to be 10% of So. 2) When operating the reactor under this condition, find the cell concentration, X of the first stage. (Unit: g/L) ). 3) Find the cell concentration when the recycle stream is not installed in the first stage, and explain the effect of the recycle stream. 4) Find the substrate concentration of the second stage. (Unit: g/L) 5) Find the product productivity in the second stage. (Unit: g P/L-hr)
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