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CHE 205
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StoichiometryStoichiometry Reactive Reactive SystemsSystems
Flowcharts Flowcharts and DOFand DOF
BalancesBalances EmptyEmpty
$600
$1000
Balance the Balance the following equationfollowing equation
CC77HH88O + OO + O22 CO CO22 + + HH22OO
What is the fractional What is the fractional conversion if 50 lbconversion if 50 lbmm of of propane are fed to a propane are fed to a
reactor and 15 lbreactor and 15 lbmm are are in the productin the product
What is the What is the equilibrium constant equilibrium constant
expression for the expression for the reaction:reaction:
CC22HH4 4 (aq) + Cl(aq) + Cl2 2 (aq) (aq) CC22HH44ClCl22 (aq) (aq)
How much air is How much air is needed per mole of needed per mole of
propane if propane is propane if propane is completely combusted completely combusted in the presence of 60% in the presence of 60%
excess airexcess air
Write all of the Write all of the atomic balances for atomic balances for the following flow the following flow
sheetsheet100 moles100 moles
0.25 mol 0.25 mol CC33HH66/mol/mol0.10 mol 0.10 mol NHNH33/mol/mol0.65 mol 0.65 mol air/molair/mol
nn11 mol C mol C33HH66
nn22 mol NH mol NH33
nn33 mol O mol O22
nn44 mol N mol N22
nn55 mol C mol C33HH33NNnn66 mol H mol H22OO
Given the following flow sheet, Given the following flow sheet, what is the single-pass what is the single-pass
conversionconversionReactorReactor SeparatorSeparator
60 mol 60 mol AA
150 mol 150 mol AA
50 mol 50 mol BB
200 200 mol Amol A
A BA B
A 2B (desired)A 2B (desired)
A C A C (undesired)(undesired)
Given the following flow sheet, Given the following flow sheet, what is the yield of Bwhat is the yield of B
ReactorReactor100 moles A100 moles A 10 moles A10 moles A
160 moles B160 moles B
10 moles C10 moles C
A 2B (desired)A 2B (desired)
A C A C (undesired)(undesired)
Given the following flow sheet, Given the following flow sheet, what is the selectivity of B what is the selectivity of B
relative to Crelative to C
ReactorReactor100 moles A100 moles A 10 moles A10 moles A
160 moles B160 moles B
10 moles C10 moles C
A 2B (desired)A 2B (desired)
A C A C (undesired)(undesired)
Given the following flow sheet, Given the following flow sheet, write out all of the extent of write out all of the extent of reaction equations and solvereaction equations and solve
ReactorReactor100 moles A100 moles A 10 moles A10 moles A
160 moles B160 moles B
10 moles C10 moles C
Given the following flow sheet, Given the following flow sheet, what is the overall conversionwhat is the overall conversion
ReactorReactor SeparatorSeparator60 mol 60 mol
AA150 mol 150 mol
AA
50 mol 50 mol BB
200 mol 200 mol AA
A BA B
What is missing from the What is missing from the following flowchart?following flowchart?
100 kg100 kg
0.3 kg A/kg0.3 kg A/kg
0.7 kg B/kg0.7 kg B/kg
mm11 (kg)(kg)
0.2 kg B/kg0.2 kg B/kg
0.8 kg C/kg0.8 kg C/kg
xx11 kg A/kg kg A/kg
xx22 kg B/kg kg B/kg
Complete the following Complete the following flowchart using only flowchart using only
variables (do not solve)variables (do not solve)50 kg A/s50 kg A/s
75 kg /s75 kg /s
0.4 kg 0.4 kg B/kgB/kg
0.6 kg 0.6 kg C/kgC/kg
0.6 kg 0.6 kg A/kgA/kg
0.4 kg 0.4 kg B/kgB/kg
0.2 kg 0.2 kg A/kgA/kg
0.8 kg 0.8 kg C/kgC/kg
0.7 kg 0.7 kg A/kgA/kg
0.3 kg 0.3 kg B/kgB/kg
Determine the number of Determine the number of Degrees of Freedom in the Degrees of Freedom in the
following systemfollowing system
35 lb35 lbmm
xx11 lb lbmm A/lb A/lbmm
(1-x(1-x11) lb) lbmm B/lb B/lbmm
mm11 (lb (lbmm))
20 lb20 lbmm
0.45 lb0.45 lbmm A/lb A/lbmm
0.55 lb0.55 lbmm B/lb B/lbmm
0.85 lb0.85 lbmm A/lb A/lbmm
0.15 lb0.15 lbmm B/lb B/lbmm
Determine the number of Determine the number of Degrees of Freedom in the Degrees of Freedom in the
overall systemoverall system50 kg 50 kg A/sA/s
mmoo kg /s kg /s
0.4 kg B/kg0.4 kg B/kg
0.6 kg C/kg0.6 kg C/kg
xx11 kg A/kg kg A/kg
(1-x(1-x11) kg ) kg B/kgB/kg
0.2 kg A/kg0.2 kg A/kg
0.8 kg C/kg0.8 kg C/kg
0.7 kg A/kg0.7 kg A/kg
0.3 kg 0.3 kg B/kgB/kg
mm11 kg /s kg /s
mm33 kg /s kg /s
mm44 kg /s kg /s
mm22 kg /s kg /s
xx22 kg A/kg kg A/kg
xx33 kg B/kg kg B/kg
(1-x(1-x22-x-x33) kg ) kg C/kgC/kg
What is the number of Degrees of What is the number of Degrees of Freedom in the first separator for Freedom in the first separator for
the following system?the following system?
5000 5000 gg
mm11 (g) (g)
mm22 (g) (g)mm44 (g) (g)
3500 3500 gg
mm33 (g) (g)
0.25 g 0.25 g A/gA/g
0.35 g 0.35 g B/gB/g
0.40 g 0.40 g C/gC/g
0.45 g 0.45 g B/gB/g
0.55 g 0.55 g C/gC/g
0.60 g 0.60 g A/gA/g
0.25 g 0.25 g B/gB/g
0.15 g 0.15 g C/gC/g
xx11 g A/g g A/g
(1-x(1-x11) g ) g B/gB/gxx22 g A/g g A/g
(1-x(1-x22) g ) g B/gB/g
xx33 g A/g g A/g
(1-x(1-x33) g ) g B/gB/g
How many balances are How many balances are independent in the independent in the following system?following system?
100 kg100 kg
0.3 kg A/kg0.3 kg A/kg
0.7 kg B/kg0.7 kg B/kg
mm11 (kg)(kg)
0.2 kg B/kg0.2 kg B/kg
0.8 kg C/kg0.8 kg C/kg
xx11 kg A/kg kg A/kg
xx22 kg B/kg kg B/kg
(1-x(1-x11-x-x22) kg ) kg C/kgC/kg
mm22 (kg)(kg)
Please write the balance on Please write the balance on B in the following system:B in the following system:
100 kg100 kg
0.3 kg A/kg0.3 kg A/kg
0.7 kg B/kg0.7 kg B/kg
mm11 (kg)(kg)
0.2 kg B/kg0.2 kg B/kg
0.8 kg C/kg0.8 kg C/kg
xx11 kg A/kg kg A/kg
xx22 kg B/kg kg B/kg
(1-x(1-x11-x-x22) kg ) kg C/kgC/kg
mm22 (kg)(kg)
What is the mathematical What is the mathematical expression that represents expression that represents
the following statement: the the following statement: the feed ratio of A to B is 2:1?feed ratio of A to B is 2:1?
mmAA (kg) (kg)
mmBB (kg) (kg)
mm11 (kg) (kg)
xx11 kg A/kg kg A/kg
(1-x(1-x11) kg B/kg) kg B/kg
Write the mathematical Write the mathematical expression that represents the expression that represents the statement – 70% of the water is statement – 70% of the water is stripped from the feed solution stripped from the feed solution and sent to a processing plantand sent to a processing plant
mmoo (kg) (kg)
mm11 (kg H (kg H22O)O)
mm22 (kg) (kg)
xx22 kg A/kg kg A/kg
(1-x(1-x22) kg ) kg HH22O/kgO/kg
xx11 kg A/kg kg A/kg
(1-x(1-x11) kg ) kg HH22O/kgO/kg
To processing To processing plantplant
What is the total molar amount What is the total molar amount of the overhead product (mof the overhead product (mOO) )
if 93% of A is recovered in if 93% of A is recovered in this stream?this stream?
200 mol200 mol
mmBB (mol)(mol)
mmOO (mol) (mol)
0.95 mol 0.95 mol A/molA/mol
0.05 mol 0.05 mol B/molB/mol
0.5 mol A/mol0.5 mol A/mol
0.5 mol B/mol0.5 mol B/mol
xx11 mol A/mol mol A/mol
(1-x(1-x11) mol ) mol B/molB/mol
Answers:Stoichiometry
• 200: C7H8O+(17/2)O2
• 400: 0.7 mol reacted/mol fed• 600:K=yC2H4Cl2/(yC2H4yCl2)• 800:38.01 mol Air/mol C3H8
• 1000: C:25=n1+n5
H:180=6n1+3n2+3n5+2n6
N:112.7=6n1+3n2+3n5+2n6
O:27.3=2n3+n6
7CO2+4H2O
Answers:Reactive Systems
• 200: 0.25
• 400: Xi1=80 mols, Xi2=10 mols
• 600:0.8
• 800:16 mol B formed/mol C formed
• 1000: 0.833 mol reacted/ mol fed
Answers:Flowcharts and DOF
• 200: Total mass of the stream leaving
• 400: Add total mass to all exit steams and label middle stream
• 600:0 DOF
• 800:Around whole system 1 DOF;
Whole system 2 DOF
• 1000: -1 DOF
Answers: Balances
• 200: 3
• 400: 70+0.2m1=m2x2
• 600:mA=2mB
• 800:0.7m0(1-x1)=m1
• 1000: 97.90 mol
