Quiz 3 Flashcards
Mass can be transferred from one place to another under the influence of a
concentration gradient
In biological multiphase systems, mass transfer takes place between
Two liquid phases, between a liquid and a solid phase, or between a gas and a liquid phase.
most large-scale fermentation processes are
aerobic
bioethanol and lactic acid production
anaerobic
Before being utilized, _________ must be moved via a sequence of processes from the
gas bulk onto the surfaces of cells.
oxygen
The solubility of oxygen within broth is typically _____
very low
During aerobic cultures and fermentations, improving _________is always
given priority
gas-liquid mass transfer
Example of transport resistances
Diffusion from bulk gas-liquid interface.
Movement through the gas-liquid interface.
Microbial cells themselves have some tendency to adsorb at
interfaces
__________concentration does not represent the oxygen supply for the
respiring microbes
the bulk dissolved O2
Mass transfer takes place by two basic processes
convection and diffusion
movement of component molecules in a mixture under the influence of a
concentration difference in the system
molecular diffusion
Diffusion of molecules occurs in the direction required to
eliminate the concentration gradient
It states that the molar flux of a component A relative to the average molal velocity of all
constituent JA is proportional to the concentration gradient dCA/dz
Fickβs first law of diffusion
Computing for diffusivity, When the solvent is water, Skelland (1974) recommends the use of the correlation
developed by
Othmer and Thakar
The three most common theories for mass transfer mechanisms are the
two-film theory, the surface renewal theory, and the penetration theory
This theory states that two fictitious films are present on either side of the interface that
causes the overall resistance to mass transfer and that takes place due to molecular diffusion
Two-Film Theory
In two-film theory, Concentration gradients are assumed to exist only in the
films
The two-film theory states that kl (mass-transfer coefficient) varies __________ as
the film thickness Ξ΄, whereas kl and DAB (diffusivity) are directly proportional to each other.
inversely
came up with the penetration theory in 1935
Higbie
assumes that turbulent eddies travel from the bulk to the interface and at the interface, they remain for an exposure time equal to t0.
Penetration theory
assumed by which the solute is assumed to penetrate a given eddy during its stay at the interface.
process of unsteady-state molecular diffusion
Penetration theory predicts that kl (mass-transfer coefficient) and the _______________ are directly proportional, whereas kl varies inversely as the ________
square root of DAB (molecular diffusivity); exposure time t0.
modified Higbieβs penetration theory for liquid phase mass transfer.
Danckwerts (1951)
states that a portion of the mass-transfer surface is replaced with a new surface by the motion of eddies near the surface assuming that the liquid elements at the interface are being randomly swapped by fresh elements from bulk and each of the liquid elements at the surface has the same probability of being substituted by a fresh element
surface renewal theory
Similar to the penetration theory, the mass
transfer coefficient is ___________ to the square root of diffusivity
directly proportional
at 1 atm of air and 25Β°C, the O2 collision rate at the surface is of the order of __________
10^24 molecules per square centimeter per second
At steady state, the oxygen transfer rate to the gas-liquid interface__________ its transfer rate
through the liquid-side film
equals
Thus, essentially all the resistance to mass transfer lies on the
liquid-film side
for the gas-phase mass-transfer coefficient Kg is approximately equal to kg if
M (distribution coefficient) is very small
Head space gas, in calculating oxygen absorption rate, is
not included
It is important to recognize that ππ2
is defined
βat a point
The maximum possible mass-transfer rate is simply found by setting
ππ = 0
all oxygen entering the bulk solution is assumed to be ________ consumed
rapidly
f πππππ is much larger than π₯ππππ₯/ππ2,
ππ2 , the main resistance to increased oxygen
consumption is ______________
microbial metabolism
If the main resistance to increased oxygen consumption is microbial metabolism, then the reaction appears to be
biochemically limited
the reverse inequality apparently leads to ππ near zero, and the reactor seems to be in
the mass-transfer-limited mode
At steady state, the oxygen absorption and
consumption rates must_________
balance
If the cell metabolic machinery is saturate with oxygen, then sufficient oxygen is available to accept immediately all electron pairs which pass through the respiratory chain, so that some other biochemical process within the cell is
rate- limiting
In the batch-system results of Figure 4, a maximum in specific O2 demand occurs in the
early exponential phase
affects oxygen demand in a major way
carbon nutrient
generally metabolized more rapidly than other carbohydrate substances
glucose