CCB3043 KINETICS AND REACTOR DESIGN (January 2015)Assignment 1
(Submission date: 16th February 2015)1. The initial reaction rate
for the elementary reaction 2A +B 4C was measured as a function of
temperature when the concentration of A was 3M and B was 2M.
-rA (mol/dm3.s)0.0020.0460.728.33
T (K)300320340360
a. Calculate the activation energyb. Calculate the frequency
factorc. Write the equation for rate constant as a function of
temperature using T = 300 K as the base case.d. Evaluate the rate
constant for the reaction if the reaction takes place isothermally
at 400 K.[P3-8, C3, C4 / 15 marks]
2. Identify what is wrong with the solution provided and suggest
the right answer for the problem.The gas phase reaction3A + 2B 3C +
5D (rate constant = k1)follows an elementary rate law as written
and is carried out in a flow reactor operated isothermally at 427oC
and 28.7 atm. Pressure drop can be neglected. Express the rate law
and the concentration of each species solely as the function of
conversion. The specific reaction rate is 200 dm12/mol4s and the
feed is equimolar in A and B. Solution:3A + 2B 3C + 5D A is the
limiting reactant, thus, divide through by its stoichiometry
coefficient, resulting in:
So, the elementary rate law can be written as:
Feed is equimolar in A and B, thus
Thus:
[C5, C6 / 15 marks]3. The gas phase reaction
is to be carried out isothermally. The molar feed is 50% H2 and
50% N2, at a pressure of 16.4 atm and a temperature of 327oC.
a. Construct the stoichiometry table for the above reaction.b.
Calculate the value of CA0, , and .c. Calculate the concentration
of ammonia and hydrogen when the conversion of H2 is 60%. [P4-10,
C3, C4 / 15 marks]
4. Isothermal, isobaric, catalytic gas-phase reaction carried
out in a fluidized bed CSTR, where the feed enters at 7atm and
170oC, and is stoichiometric mixture.C6H6 + 2H2 C6H10a. Develop the
stoichiometric table for the reaction above. Express the
concentration of each species as a function of conversion. b. Next,
assuming elementary rate law, write the reaction rate solely as a
function of conversion.c. Calculate the catalyst weight required
for 80% conversion in fluidized bed reactor at 170oC and 270oC.
Entering volumetric flow rate is 50 dm3/min
[P4-6d, C3, C4 / 25 marks]
