Question

The production of a product P from a particular gram-negative bacteria follows the Monod growth law r_g = frac{mu_{max}C_sC_c}{K_s + C_s} with mu_{max} = 1 h^-1, K_s = 0.25 g/dm^3, and Y_{c/s} = 0.5 g/g. (a) The reaction is to be carried out in a batch reactor with the initial cell concentration of C_{c0} = 0.1 g/dm^3 and substrate concentration of C_{s0} = 20 g/dm^3. C_c = C_{c0} + Y_{c/s}(C_{s0} - C_s) Plot r_g, -r_s, -r_c, C_s, and C_c as a function of time. (b) The reaction is now to be carried out in a CSTR with C_{s0} = 20 g/dm^3 and C_{c0} = 0. What is the dilution rate at which wash-out occurs? (c) For the conditions in part (b), what is the dilution rate that will give the maximum product rate (g/h) if Y_{p/c} = 0.15 g/g? What are the concentrations C_c, C_s, C_p, and -r_s at this value of D?

          The production of a product P from a particular gram-negative bacteria follows the Monod growth law

r_g = frac{mu_{max}C_sC_c}{K_s + C_s}

with mu_{max} = 1 h^-1, K_s = 0.25 g/dm^3, and Y_{c/s} = 0.5 g/g.
(a) The reaction is to be carried out in a batch reactor with the initial cell concentration of C_{c0} = 0.1 g/dm^3
and substrate concentration of C_{s0} = 20 g/dm^3.
C_c = C_{c0} + Y_{c/s}(C_{s0} - C_s)
Plot r_g, -r_s, -r_c, C_s, and C_c as a function of time.
(b) The reaction is now to be carried out in a CSTR with C_{s0} = 20 g/dm^3 and C_{c0} = 0. What is the
dilution rate at which wash-out occurs?
(c) For the conditions in part (b), what is the dilution rate that will give the maximum product rate
(g/h) if Y_{p/c} = 0.15 g/g? What are the concentrations C_c, C_s, C_p, and -r_s at this value of D?

$The production of a product P from a particular gram-negative bacteria follows the Monod growth law rg = fracmumaxCsCcKs + Cs with mumax = 1 h^-1, Ks = 0.25 g/dm^3, and Yc/s = 0.5 g/g. (a) The reaction is to be carried out in a batch reactor with the initial cell concentration of Cc0 = 0.1 g/dm^3 and substrate concentration of Cs0 = 20 g/dm^3. Cc = Cc0 + Yc/s(Cs0 - Cs) Plot rg, -rs, -rc, Cs, and Cc as a function of time. (b) The reaction is now to be carried out in a CSTR with Cs0 = 20 g/dm^3 and Cc0 = 0. What is the dilution rate at which wash-out occurs? (c) For the conditions in part (b), what is the dilution rate that will give the maximum product rate (g/h) if Yp/c = 0.15 g/g? What are the concentrations Cc, Cs, Cp, and -rs at this value of D?$

Added by Elisa L.

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