Problem 2. Sulfur dioxide may be converted to SO3, which is useful in the production of sulfuric acid. A gas stream of 10.0 mol % SO₂2, 9.0 mol% O₂, and the balance nitrogen gas is passed through a two-stage reaction process. The fractional conversion of SO₂ to SO3 in the single pass through the first reactor is 75%, and in one pass through the second reactor the fractional conversion is 65%. To boost the overall conversion of the entire process to 95%, some of the exit gas from the second reactor is recycled back to the inlet of the second reactor. Sketch the block flow diagram for the above process. If 100 gmol/hr is fed to the first reactor, what is the molar flow rate and composition of this recycle stream? If all reactions take place at 500 °C and 1 atm, what is the volumetric flow rate of the recycle stream? (A couple hints: Just do everything in terms of molar flow rates, then apply the ideal gas law at the very end. In your work, you may find no unit has zero DOF at first. So, "partially" solve a unit and pass that information around, to help you eventually get to zero DOF somewhere.)

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Problem 2.
Sulfur dioxide may be converted to SO3, which is useful in the production of sulfuric acid. A gas stream
of 10.0 mol % SO₂, 9.0 mol % O₂, and the balance nitrogen gas is passed through a two-stage reaction
process. The fractional conversion of SO₂ to SO3 in the single pass through the first reactor is 75%, and in
one pass through the second reactor the fractional conversion is 65%. To boost the overall conversion of
the entire process to 95%, some of the exit gas from the second reactor is recycled back to the inlet of the
second reactor.
Sketch the block flow diagram for the above process. If 100 gmol/hr is fed to the first reactor, what is the
molar flow rate and composition of this recycle stream? If all reactions take place at 500 °C and 1 atm,
what is the volumetric flow rate of the recycle stream?
(A couple hints:
Just do everything in terms of molar flow rates, then apply the ideal gas law at the very end.
In your work, you may find no unit has zero DOF at first. So, "partially" solve a unit and pass that
information around, to help you eventually get to zero DOF somewhere.)
Transcribed Image Text:Problem 2. Sulfur dioxide may be converted to SO3, which is useful in the production of sulfuric acid. A gas stream of 10.0 mol % SO₂, 9.0 mol % O₂, and the balance nitrogen gas is passed through a two-stage reaction process. The fractional conversion of SO₂ to SO3 in the single pass through the first reactor is 75%, and in one pass through the second reactor the fractional conversion is 65%. To boost the overall conversion of the entire process to 95%, some of the exit gas from the second reactor is recycled back to the inlet of the second reactor. Sketch the block flow diagram for the above process. If 100 gmol/hr is fed to the first reactor, what is the molar flow rate and composition of this recycle stream? If all reactions take place at 500 °C and 1 atm, what is the volumetric flow rate of the recycle stream? (A couple hints: Just do everything in terms of molar flow rates, then apply the ideal gas law at the very end. In your work, you may find no unit has zero DOF at first. So, "partially" solve a unit and pass that information around, to help you eventually get to zero DOF somewhere.)
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