Bacteria used to degrade a contaminant in a bacth reactor are found to grown on the contaminant with Monod Kinetics. Assuming Umax (the max specific growth rate)=10 per day, and Ks (called half velocity constant)=5mg/L and Kd (the decay constant)=0.05 per day.

At what value of S (the substrate concentration) will dX/dt=0. (X is the biomass concentration).

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I am not sure how to find X and S:
dx/dt=(Umax)(X)=0
Umax(X)=0
Umax(S/Ks+S)X=0
Monod model assumes that the test chemical is the sole growth limitinG compound in system.

Need S and X for the formula. Please help!

Solution Summary

One solution to pollution is bioremediation using strains of pollution-destroying bacteria. We can study this process by using a batch reactor system to measure the growth rates of bacteria in the presence of specific contaminants. The solution presented here calculates the substrate (the contaminant) concentration when the rate of biomass accumulation (aka bacterial growth) reaches steady state equilibrium (dx/dt = 0).

A waste with a concentration of 0.1 gram per liter is to be introduced to a hazardous waste reactor that is to achieve 90% destruction. A reactant, which is intended to cause an exothermic reaction is to be mixed with the waste stream so that there is only one common/mixed input to the reactor.
If the waste is in excess of th

Problem.
The kinetics of an aqueous phase decomposition of A is investigated in two CSTR's in series, the first having half the volume of the second. At steady state with a feed concentration of 4 gmol/lit., and mean residence time of 65 sec in the second reactor, the concentration of feed to second from the first is found to b

A reactor core is in the form of a rectangular prism of height h with a rectangular base having sides of length a and b. Assuming that the boundary condition is psi = 0 at the sides of the reactor show, by direct substitution or otherwise, that the solution has the form
psi = A cos(pi*x / a) cos(pi*x / b) cos(pi*z / h)

Please see the attached file for the fully formatted problem(s).
1. Calculate the volume of a CSTR and of a PFR needed to convert 10 L/min of a 2.0 M solution of A to a concentration of 0.1 M. The reaction is A --> B, the rate law is -r = k CA, where k is 0.01667 sec-1. Which is larger? Why?
2. For the reaction given in p

A batch animal cell culture has a productivity of 1.8 g/L*day, with a MUmax=0.5 days, a 10% inoculums and a turnaround time of 5 hours. If a continuous culture could operate at a dilution rate of 90% MUmax, what would be the productivity?

Why are scientists spending a great deal of effort to build a fusion reactor even though it would operate at a very high temperature that could be difficult to reach and maintain?
Radioisotopes in nuclear medicine are desirable to have shorter half-lives. Why?

See the attached file.
1. The reversible exothermic water-gas shift reaction (seen in attached file), takes place in an isobaric and adiabatic PFR reactor of V=1m3. Ftot = 100 moles/sec contains 40 mol% H20 and 20 mole % of inert I. The total pressure is 3 bar and the inlet temperature is Tin = 500 k. In parallel the methanatio

Please see the attached file for the fully formatted problem(s).
Problem:
From the following data find a satisfactory rate equation for the gas-phase decomposition of pure A, A ---> R + S, in a mixed flow reactor.
Tau based on
Inlet feed conditions, sec 0.423 5.1 13.5 44.0 192
XA (for CAo = 0.002 mol/lit) 0.22 0.

Liquid phase reaction reversible:
A + B = R + S
k1 = 7l/mol*min
k2 = 3l/mol*min
It occurs in a continuous stirred tank reactor of 120liters. 2 streams, one with 2.8 mol of A/liter and the other 1.6 mol of B/liter, feed the reactor with the same volumetric flow. The goal is to have a 75% conversion of the limitant react