In a CSTR, reaction A→B occurs with rate constant kmol/s. The feed flow rate is Fi...
In a CSTR, reaction A→B occurs with rate constant kmol/s. The feed flow rate is Fi liter/s and the product flow rate is F liter/s. F is fixed (a pump is being used to maintain a constant product flow rate), whereas Fi is subject to changes. Therefore, the volume of solution in the reactor V is not necessarily constant. The concentration of A in the feed and product stream are CAi mol/liter and CA mol/liter, respectively.
(a) (40 marks) derive the differential equations describing the system. Assuming we are only interested in the concentration of CA (but not CB), there are two dependent variables: V and CA and two input variables CAi and Fi (no need to solve or exress indeviation variables)
(b) (10 marks) Is it a linear problem or a non-linear problem? Explain why.
Homework Answers
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In a CSTR, reaction A→B occurs with rate constant kmol/s. The
feed flow rate is Fi...
5.33. When B is mixed with A, the liquid phase reaction A+BC rkCA has a rate...
5.33. When B is mixed with A, the liquid phase reaction A+BC rkCA has a rate constant k 0.2 min. This reaction is to be carried out isothermally in a CSTR at steady state. The reactant A costs $2/mol and reactant B costs $0.10/mol. The product C sells for $6/mol. The cost of operating the reactor is $0.05 per liter per hour. We wish to produce 360,000 moles of C per day to meet the market demands The available reactants,...
2. Derive equations quantifying concentrations of Ca and C in the effluent from a CSTR if...
2. Derive equations quantifying concentrations of Ca and C in the effluent from a CSTR if you know that Cao is the influent substrate concertation; V is volume of the reactor, F is flow rate; k is reaction rate constant, and they are all known. The reaction in the reactor A Reaction is of first order with the rate rA-k. CA CSTR CA, CB CAO
An acid-catalyzed irreversible liquid-phase reaction A B is carried out adiabatically in a CSTR. The reaction is second...
An acid-catalyzed irreversible liquid-phase reaction A B is carried out adiabatically in a CSTR. The reaction is second order in A. The feed is equimolar A and solvent (S, which contains catalyst), and enters the reactor at a total volumetric flow rate of 10 dm3/min at a concentration of A of 4 mol/L. The feed enters at 300 K. The product and reactant heat capacities are 15 cal/(mol°C), the solvent is 18 cal/(mol°C). The reaction rate constant at 300 K...
Problem: A reaction A+ R takes place in a constant-volume isothermal CSTR. The component mass balances...
Problem: A reaction A+ R takes place in a constant-volume isothermal CSTR. The component mass balances are: 1401 =CH-C, -kC,C, de=C-Cp+kC/CR dt where: Cai feed concentration of A (input); CRI: feed concentration of R (assumed constant); CA, CR: concentrations of A,R, respectively, in the reactor and outlet; t, k:, positive constants. a) Linearize the equations around the design steady-state (0.0...) (and put them in deviation variable form. b) Calculate the transfer function between CR and CA c) Under what conditions...
[TOTAL 30 MARKS! A plug flow reactor (C le and reaction is reversible and represented by...
[TOTAL 30 MARKS! A plug flow reactor (C le and reaction is reversible and represented by (0,04 minT)CA - (0,01 min- 2.2. 2.3, Find the equilibrium conversion Find the actual conversion of A in the reactor We wish to achieve 97.5% of the equilibrium n by adding a CSTR in series with the plug flow reactor. What volume must the CSTR be in order to achieve this? TOTAL 20 MARKS Pure gaseous A at about 3 vanous Row rates. There...
2 of 6 04-Chem-A4/Dec 2012 1. A first-order, homogeneous, liquid-phase reaction (A - B) occurs in...
2 of 6 04-Chem-A4/Dec 2012 1. A first-order, homogeneous, liquid-phase reaction (A - B) occurs in a CSTR that operates adiabatically at steady state. The reaction is exothermic. Data are as follows and should be considered as exact quantities CA G, 1.75 molA/L (Inlet concentration of A) 2.5 J/g-K (The heat capacity of the reacting fluid; assumed constant at all conversions.) AH, -27 000 J/molA q-30 L/min (Flow into the CSTR.) (-rA) = 1.8( 1013)e(-84000 RDCA (The rate of reaction...
Design a CSTR for the elementary consecutive gas-phase reactions A - B C. Specify the reactor...
Design a CSTR for the elementary consecutive gas-phase reactions A - B C. Specify the reactor volume and the area of the heating coil inside the reactor for 50% conversion. a. Calculate the desired operating temperature inside the reactor. b. Calculate the volume of the reactor c. Calculate the area of the heating surface. The effluent stream should contain a ratio CB/Cc of 10. The feed is gas-phase and pure A at 400°C and 4 atm, with a molar flow...
The following elementary gas phase reaction A+2B—>C+D Feed is A/B= 1/3 mol A/I =4/1 (mole basis)...
The
following elementary gas phase reaction
A+2B—>C+D
Feed is A/B= 1/3 mol A/I =4/1 (mole basis)
is to be carried out in an isothermal CSTR. Given that:
T=500C
P=5 atm
Ea=15500cal/gmol
A=1.5e4
K=A*exp^(-Ea/RT)
Qo= 100 L/s
Reactor volume= 20,000L
a) what are the exit molar flow rates? Fa, Fb, Fc, Fd,
Fi
b) what is the exit volumetric flow rate Q?
2. The following elementary irreversible gas-phase reaction: A+2B >C+D Is to carried out in an isothermal CSTR. Given that:...
Process 2 CSTR Using the same CSTR process from week 3's worksheet: Stream 1: A Mass...
Process 2 CSTR Using the same CSTR process from week 3's worksheet: Stream 1: A Mass flow - 100 kg/h Molecular mass = 16 Volumetric flow = 5 m/h Stream 2:8 Mass flow 150 kg/h Molecular mass = 20 Volumetric flow = 10 m/h CSTR A and B undergo the following slow reaction: ABC The reaction is first order with respect to A and has a reaction rate (CA) of 1.2 hand the reactor has a total volume of 20...
PROBLEM 1 The elementary liquid phase irreversible reaction (A + B -> C) is to be...
PROBLEM 1 The elementary liquid phase irreversible reaction (A + B -> C) is to be carried out in a flow reactor. An equimolar feed with A and B enters the reactor at 300K at a volumetric flow rate of 2 L/s, and feed molar concentration of A equal to 0.1 kmol/m3 a. A. Calculate the conversion of A that can be achieved in one 500 Liter Mixed Flow Reactor under adiabatic conditions. b. Calculate the conversion of A that...
5.33. When B is mixed with A, the liquid phase reaction A+BC rkCA has a rate constant k 0.2 min. This reaction is to be carried out isothermally in a CSTR at steady state. The reactant A costs $2/mol and reactant B costs $0.10/mol. The product C sells for $6/mol. The cost of operating the reactor is $0.05 per liter per hour. We wish to produce 360,000 moles of C per day to meet the market demands The available reactants,...
2. Derive equations quantifying concentrations of Ca and C in the effluent from a CSTR if you know that Cao is the influent substrate concertation; V is volume of the reactor, F is flow rate; k is reaction rate constant, and they are all known. The reaction in the reactor A Reaction is of first order with the rate rA-k. CA CSTR CA, CB CAO
An acid-catalyzed irreversible liquid-phase reaction A B is carried out adiabatically in a CSTR. The reaction is second order in A. The feed is equimolar A and solvent (S, which contains catalyst), and enters the reactor at a total volumetric flow rate of 10 dm3/min at a concentration of A of 4 mol/L. The feed enters at 300 K. The product and reactant heat capacities are 15 cal/(mol°C), the solvent is 18 cal/(mol°C). The reaction rate constant at 300 K...
Problem: A reaction A+ R takes place in a constant-volume isothermal CSTR. The component mass balances are: 1401 =CH-C, -kC,C, de=C-Cp+kC/CR dt where: Cai feed concentration of A (input); CRI: feed concentration of R (assumed constant); CA, CR: concentrations of A,R, respectively, in the reactor and outlet; t, k:, positive constants. a) Linearize the equations around the design steady-state (0.0...) (and put them in deviation variable form. b) Calculate the transfer function between CR and CA c) Under what conditions...
[TOTAL 30 MARKS! A plug flow reactor (C le and reaction is reversible and represented by (0,04 minT)CA - (0,01 min- 2.2. 2.3, Find the equilibrium conversion Find the actual conversion of A in the reactor We wish to achieve 97.5% of the equilibrium n by adding a CSTR in series with the plug flow reactor. What volume must the CSTR be in order to achieve this? TOTAL 20 MARKS Pure gaseous A at about 3 vanous Row rates. There...
2 of 6 04-Chem-A4/Dec 2012 1. A first-order, homogeneous, liquid-phase reaction (A - B) occurs in a CSTR that operates adiabatically at steady state. The reaction is exothermic. Data are as follows and should be considered as exact quantities CA G, 1.75 molA/L (Inlet concentration of A) 2.5 J/g-K (The heat capacity of the reacting fluid; assumed constant at all conversions.) AH, -27 000 J/molA q-30 L/min (Flow into the CSTR.) (-rA) = 1.8( 1013)e(-84000 RDCA (The rate of reaction...
Design a CSTR for the elementary consecutive gas-phase reactions A - B C. Specify the reactor volume and the area of the heating coil inside the reactor for 50% conversion. a. Calculate the desired operating temperature inside the reactor. b. Calculate the volume of the reactor c. Calculate the area of the heating surface. The effluent stream should contain a ratio CB/Cc of 10. The feed is gas-phase and pure A at 400°C and 4 atm, with a molar flow...
The
following elementary gas phase reaction
A+2B—>C+D
Feed is A/B= 1/3 mol A/I =4/1 (mole basis)
is to be carried out in an isothermal CSTR. Given that:
T=500C
P=5 atm
Ea=15500cal/gmol
A=1.5e4
K=A*exp^(-Ea/RT)
Qo= 100 L/s
Reactor volume= 20,000L
a) what are the exit molar flow rates? Fa, Fb, Fc, Fd,
Fi
b) what is the exit volumetric flow rate Q?
2. The following elementary irreversible gas-phase reaction: A+2B >C+D Is to carried out in an isothermal CSTR. Given that:...
Process 2 CSTR Using the same CSTR process from week 3's worksheet: Stream 1: A Mass flow - 100 kg/h Molecular mass = 16 Volumetric flow = 5 m/h Stream 2:8 Mass flow 150 kg/h Molecular mass = 20 Volumetric flow = 10 m/h CSTR A and B undergo the following slow reaction: ABC The reaction is first order with respect to A and has a reaction rate (CA) of 1.2 hand the reactor has a total volume of 20...
PROBLEM 1 The elementary liquid phase irreversible reaction (A + B -> C) is to be carried out in a flow reactor. An equimolar feed with A and B enters the reactor at 300K at a volumetric flow rate of 2 L/s, and feed molar concentration of A equal to 0.1 kmol/m3 a. A. Calculate the conversion of A that can be achieved in one 500 Liter Mixed Flow Reactor under adiabatic conditions. b. Calculate the conversion of A that...
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