A medium containing 50 g/L of S (substrate) is continuously fed into a completely mixed reaction vessel at a certain liquid flow rate. The working volume of the reactor is maintained at a constant liquid volume of 10 L by overflowing. The following table shows the steady state concentrations of X (biomass or cell), S, and P (product).   X (g cells/L)    S (g/L)    P (g/L) 2.0                  30.0       18.0 3.0                  20.0        27.0 4.0                  10.0        36.0 4.5                   5.0         40.5 4.8                   2.0         43.2

Structural Analysis
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A medium containing 50 g/L of S (substrate) is continuously fed into a completely mixed reaction vessel at a certain liquid flow rate. The working volume of the reactor is maintained at a constant liquid volume of 10 L by overflowing. The following table shows the steady state concentrations of X (biomass or cell), S, and P (product).

 

X (g cells/L)    S (g/L)    P (g/L)

2.0                  30.0       18.0

3.0                  20.0        27.0

4.0                  10.0        36.0

4.5                   5.0         40.5

4.8                   2.0         43.2

 

If cell growth follows the Monod equation, no cell death occurs at steady state, and the product formation is growth-associated, determine (1) μmax, (2) Ks, (3) Yx/s, and (4) Yp/s.

 

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