Question

In: Other

An isothermic reaction is carried out adiabatically and the CSTR reactor design algorithm is shown as...

An isothermic reaction is carried out adiabatically and the CSTR reactor design algorithm is shown as below:

The reaction is second order in A. The feed which is equimolar in a solvent and A, and its enters the reactor at a total volumetric flow rate, v0 of 10 dm3/min with the initial concentration of A being 4 M. The rate constant, k given as 0.1 dm3/mol.min at 380 K. Determine the conversion can be achieved in 600 dm3 CSTR by using the following methods:

a) Graphically

b) False position method with initial guesses of Xl =0.6 and Xu =0.9

c) Secant method with initial estimates of X-1 = 0.6 and X0, =0.9

Iterate until the approximate error falls below 1 %. Find the absolute relative approximate error at the end of each iteration.

Solutions

Expert Solution

in false position method check f(a)*f(b) after every step. If the product is < 0, then the next root will lie between a and b

Feel free to ask any questions


Related Solutions

An elementary reaction A+B  C+D is to be carried out in a non-ideal CSTR which...
An elementary reaction A+B  C+D is to be carried out in a non-ideal CSTR which has both bypassing and a stagnant region in this reactor. The measured reactor volume is 1.0 m3 and the flow rate to the reactor is 0.1 m3/min. The reaction rate constant is 0.28 m3/kmol.min. The feed is equimolar in A and B with an entering concentration of A equal to 2.0 kmol/m3 k. Calculate the conversion that can be expected in this reactor if...
The following reversible gas-phase reaction is carried out in a 10 L batch reactor. A <->C...
The following reversible gas-phase reaction is carried out in a 10 L batch reactor. A <->C -rA = CA – 0.5CC [mol/(L h)] Determine the pressure, temperature, and gas phase composition (mole fractions) in the reactor after 1 hour of operating adiabatically given the following initial conditions and physical properties and the assumption of ideal gas behavior: P0 = 100 kPa, yA0 = 0.5, yC0 = 0.1, yinert=0.4, T0 = 500 K. cpA = cpC = 10 J/mol K, cpinert...
For the given conversion of a first order exothermic reaction run adiabatically, which reactor will have...
For the given conversion of a first order exothermic reaction run adiabatically, which reactor will have the higher exit temperature? A) CSTR b) PFR c) same for PFR and CSTR d) cannot tell
What are the operating conditions of ( plug flow reactor - CSTR - plug bed reactor...
What are the operating conditions of ( plug flow reactor - CSTR - plug bed reactor - batch reactor - semi-batch reactor ) ?
A CSTR is used in production of A → R Feed enters the reactor at a...
A CSTR is used in production of A → R Feed enters the reactor at a rate of vo(L/s), and the concentration of the reactant in the feed is CAo (mol A/L) The volume of the tank is V(L). Assume that the process is a well-mixed process, so that the concentration of A in product stream equals that in the tank. For this process, the rate of consumption of A equals kCA[mol/ (s L of reaction volume)] Assume that all...
The reaction of CH4 is carried out at a different temperature with an initial concentration of...
The reaction of CH4 is carried out at a different temperature with an initial concentration of [CH4] = 9.9×10−2 M . At equilibrium, the concentration of H2 is 2.0×10−2 M 2CH4(g)⇌C2H2(g)+3H2(g) whats the equilibrium constant
The gas phase reaction           2A + B →2C is   carried   out   isothermally   and   isobarically.   The   reaction  ...
The gas phase reaction           2A + B →2C is   carried   out   isothermally   and   isobarically.   The   reaction   is    first    order    in    A    and    first order in B. The feed is equal molar in A and B and the entering concentration of A is 0.5 mol/dm3. The specific reaction rate is k = 4.0 dm3/mol s. Write   the   rate   of   reaction,   –rA,   solely   as   a   function   of   conversion,    evaluating    all    parameters.
The gas phase reaction           2A + B →2C is   carried   out   isothermally   and   isobarically.   The   reaction  ...
The gas phase reaction           2A + B →2C is   carried   out   isothermally   and   isobarically.   The   reaction   is    first    order    in    A    and    first order in B. The feed is equal molar in A and B and the entering concentration of A is 0.5 mol/dm3. The specific reaction rate is k = 4.0 dm3/mol s. Write   the   rate   of   reaction,   –rA,   solely   as   a   function   of   conversion,    evaluating    all    parameters.
Consider a CSTR used to carry out a reversible isomerization reaction (A↔B) where both the forward...
Consider a CSTR used to carry out a reversible isomerization reaction (A↔B) where both the forward and reverse reactions are first-order. Feed is pure A and the reaction is assumed to be elementary. CPa =1255 J/moleºK CPb = 1172 J/moleºK kf = 8.83 x 104 e –6290/T sec-1 kr = 4.17 x 1015 e –14947/T sec-1 where T is in degrees Kelvin (a) Is the reaction exothermic or endothermic? What is the standard enthalpy change for the reaction? (b) What...
The elementary irreversible gas phase reaction A --> B + C is carried out in a...
The elementary irreversible gas phase reaction A --> B + C is carried out in a PFR packed with catalyst. Pure A enters the reactor at a volumetric flowrate of 20 dm3 /s at a pressure of 10 atm and 450K. CpA=40 J/mol.K HfA=-70 kJ/mol   (TR=273 K) CpB=25 J/mol.K HfB=-50 kJ/mol CpC=15 J/mol.K HfC=-40 kJ/mol k = 0.133 exp ( E/R*[ 1/450 ? 1/T ] ) dm3 kg cat. s with E = 31.4 kJ/mol a) Plot the conversion and...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT