Consider the concentric tubular mass transfer device shown in
the figure below. This device is designed to gradually introduce
hydrogen (H2) gas (species A) into a pure oxygen gas (O2) inlet
stream (species B) delivered to the shell side of the process. Pure
H2 gas enters the tube side of the process. Pure O2 gas enters the
shell side of the process. The tube wall material is only permeable
only to H2, and not to O2. The system is designed so that the
partial pressure of H2 at the gas interface and the outer surface
of the inner tube wall is equal to the total system pressure, i.e.
pAs P or yAs 1.0, down the entire length of the tube. In the
present process, the Reynold’s number through the shell side is
10,000, the outer diameter of the inner tube is Di 1.5 cm, and the
inner diameter of the outer tube is Do 2.5 cm. The tube length is L
10 cm, and the process is carried out at constant 27 C and 1.0 atm
total system pressure. For the purposes of this problem, you may
assume the process is dilute with respect to H2 in the O2 gas
stream.
a. What is the velocity of gas on the shell side of the
process?
b. What is the Schmidt number is for H2 diluted in O2 gas?
c. What is the convective mass transfer coefficient for H2 in
annular gas space for the H2 O2 gas mixture on the shell side,
kc?
d. Develop a material balance model, in integrated final
algebraic form, to predict the outlet mole fraction of H2 from the
shell side of the process, yAL. At a minimum, your model must
include the following terms: Do, Di, kc, L, yAL, yAs, yAo, v∞.
e. At the conditions of the process, what is the outlet mole
fraction of H2 on the shell side, yAL?
100% O₂ YAo = 0 100% H₂ V∞ YA(Z) Voo ΝΑ Shell side H₂ permeable tube wall Re = 10,000 z = 0 cm YAS = 1.0 Tube side z = 10 cm YAL ↓ D; 1.5 cm Do = 2.5 cm ↑
Consider the concentric tubular mass transfer device shown in the figure below. This device is designed to gradually int
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