ChE201 HW6
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Course
201
Subject
Chemistry
Date
Apr 3, 2024
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docx
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7
Uploaded by DoctorDragonflyMaster198
Mullis, Ashton Rayne
Professor Bowman
ChE-201 Fundementals
20240304
HW6
1) The attached drawing 01-A-004/1 is a process flow diagram (PFD) for one small section of a
much larger butane isomerization plant. PFDs are normally printed on 11”x17” sheets of
paper. For this problem we will focus on a mass balance around the first isobutane reactor
R201, where n-butane is converted into isobutane, along with some C1-C3 side products.
a) What is the fractional conversion of n-butane to isobutane?
b) What is the fractional conversion of butanes (n-butane and isobutane) to C1-C3?
c) What other process units would you suggest be included in the plant to increase the
overall conversion?
Solutions
(A)
f
i
=
n
i
Reacted
n
i
Fed
= 520000
−
230000
520000
lb
hr
=
0.56
n
−
butane
(B) in – out / total out f
i
=
(
520000
+
12000
)
−(
230000
+
300000
)
(
230000
+
300000
)
=
0.0038
butanes
c1-c3
(C.) The conversion between A-B is very low, so assuming there is buildup of excess reactant in the system, it would be best to add a separator to remove the reacted product from the excess, and then send the excess stream back via a recycle stream or purge stream, depending on the purity of the recyclable.
2) Solid calcium fluoride (CaF2) reacts with sulfuric acid to form solid calcium sulfate and
gaseous hydrogen fluoride (HF). The HF is then dissolved in water to form hydrofluoric acid.
A source of calcium fluoride is fluorite ore containing 96.0 wt% CaF2 and 4.0% SiO2. In a
typical hydrofluoric acid manufacturing process, fluorite ore is reacted with 93 wt% aqueous
sulfuric acid, supplied 15% in excess of the stoichiometric amount. Ninety-five percent of the
ore dissolves in the acid. Some of the HF formed reacts with the dissolved silica in the
reaction
6HF+SiO2(aq)→H2SiF6(s)+2H2O(l)
The hydrogen fluoride exiting from the reactor is subsequently dissolved in enough water to produce 60.0 wt% hydrofluoric acid. a) Draw and label a flow diagram for this process b) Calculate the quantity of fluorite ore needed to produce a metric ton of aqueous
hydrofluoric acid. (Some of the given data are not needed to solve the problem)
Solutions
(A) (B) Basis 0f 100kg Ore Inlet stream 6 mols of HF = 600kg=6E5g required for reaction.
Fluorine, 18.998 amu
HF, 20.01 g/mol
60%
wt HF ratio needed for reaction
=
600
kg×
1000
g
1
kg
÷
20.01
g
mol
=
3
×
10
4
n HF
96%
wt Ca F
2
=
9.6E5
gCa F
2
×
(
20.01
×
2
nF
)
78.07
gmol
−
1
Ca F
2
=
4.92E5
g×
0.95
=
4.68E5
g÷
18.998
Famu
=
2.46E4
n
F
1
T
ore
Basis Silica 1.0 – 0.60HF = 40%wt silica Silica, 60.08 g/mol
4E4
gSilica
60.08
gmo l
−
1
silica
=
6.7E2
nsilica
∈
mixture×
6
nratioS
:
F
=
4.00E3
n F excess
2.46E4nF – 4.00E3nF = 2.06E4n HF 3.00E4
nHF
2.06E4
nHF
=
1.46
MT = 1460kg
3) A catalytic reactor is used to produce formaldehyde from methanol in the reaction,
CH3OH→HCHO+H2
A single-pass conversion of 60.0% is achieved in the reactor. The methanol in the reactor
product is separated from the formaldehyde and hydrogen in a multiple-unit process. The
production rate of formaldehyde is 720. kg/h.
a) Calculate the required feed rate of methanol to the process (kmol/h) if there is no recycle.
b) Suppose the unreacted methanol is recovered and recycled to the reactor and the single-
pass conversion remains 60%. Determine the required fresh feed rate of methanol (kmol/h) and the rates (kmol/h) at which methanol enters and leaves the reactor.
c) The single-pass conversion in the reactor, Xsp, affects the costs of the reactor (Cr) and the
separation process and recycle line (Cs). What effect would you expect an increased Xsp would have on each of these costs for a fixed formaldehyde production rate?
(Hint: To get a 100% single-pass conversion you would need an infinitely large reactor, and
lowering the single-pass conversion leads to a need to process greater amounts of fluid through both process units and the recycle line.) What would you expect a plot of (Cr+Cs) versus Xsp to look like? What does the design specification Xsp=60% probably
represent?
Solutions
(A)
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