. The transformation of glucose into fructose by the enzyme glucose isomerase, was carried out in two different types suspended-enzyme bioreactors: 1) CSTR, and 2) plug flow reactor. The process obeys Michaelis-Menten kinetics. The following parameters and kinetic constants were kept the same in both bioreactors: $ So (input substrate concentration) = 1.0 mMol/L; $ F (volumetric flow rate) = 1.0 m3/h; $ Km = 7x10-4 Mol/L; $ Vmax = 0.2 mMol/(L.h) Determine: $ Volume of CSTR for 50% conversion of glucose; $ Volume of PFR for 50% conversion of glucose; $ Volumes of CSTR and PFR in series (assume that the volumes are equal) in two cases: $ first CSTR $ first PFR 2. Calculate the volume of a stirred tank bioreactor containing the same enzyme, but immobilized on the surface of a flat-geometry support. The value of the mass-transfer coefficient is 0.6 h-1. The values of the rest of process parameters are the same as above.
For a reaction whose slowest step is
mX + nY ----> aXY
rate = k * [X]m * [Y]n
where k is the rate constant; brackets represent concentrations; m and n are exponents on the concentrations of X and Y, respectively
When an equation is balanced, the rate of the forward reaction equals the rate of the reverse reaction.
The chemical equation is the word expression of a chemical reaction.The rate of reaction give information about the speed of this reaction.
A rate constant
You need to know the rate of the reaction, as well as the concentrations of all reactants. Then you plug those values into the equation of rate = k[A][B] or whatever the rate equation happens to be.
You need to know the rate of the reaction, as well as the concentrations of all reactants. Then you plug those values into the equation of rate = k[A][B] or whatever the rate equation happens to be.
When an equation is balanced, the rate of the forward reaction equals the rate of the reverse reaction.
The chemical equation is the word expression of a chemical reaction.The rate of reaction give information about the speed of this reaction.
A rate constant
An equation that relates the reaction rate to the concentration of the reactants
An Arrhenius equation is an equation which approximates the dependence of the rate of any chemical reaction on the temperature.
An equation that relates the reaction to the concentrations of the reactants
You need to know the rate of the reaction, as well as the concentrations of all reactants. Then you plug those values into the equation of rate = k[A][B] or whatever the rate equation happens to be.
A relative rate constant the rate at which a reaction will take place. Ex. V = k [A][B] the constant ,k, is a constant value for the rate of the reaction in said equation.
You need to know the rate of the reaction, as well as the concentrations of all reactants. Then you plug those values into the equation of rate = k[A][B] or whatever the rate equation happens to be.
A + B --> C has non-elementary reaction rate equation -rA = kCACB1/2 The exponent of CA is 1, the exponent of CB is 1/2, for an overall reaction order of 1 + (1/2) = 1.5. Do not let the stoichiometric coefficients from the reaction mislead you. It has to do with the rate equation for a given reaction, not the (net) chemical reaction itself.
The Arrhenius equation was created by Svante Arrhenius in 1889, based on the work of Dutch chemist J. H. van't Hoff. The rate equation shows the effect of changing the concentrations of the reactants on the rate of the reaction.
The unit of the rate constant in a 1st Order reaction rate equation (NOT the 'Arrhenius equation', as stated in the question) is One over Time.General form of a reaction rate equation :rate (mol.L-1.time-1) = [rate constant(Ln-1.mol1-n.time-1)]*[Concentration()]nwhere:* n is the Order of the rate equation (that is of the rate limiting step) * all units are (italicalised) between brackets It can easily be seen in this that for n=1 (1st Order) the equation is:r = k * C1and in units:mol.L-1.time-1 = (L0.mol0.time-1)*(mol.L-1)1so:(mol.L-1.time-1) = (time-1)*(mol.L-1)Only the value of the rate constant k is depending on temperature only (cf. Arrhenius equation), though temperature is NOT in its unit.