Problem 1:
1. The following sequences of reactions are to occur in a constant density reactor. Which type of continues flow-reactor would be best to maximize the selectivity for product C?
a. A + B → C rc = kI CA3/12CB
A + B → D rD = k2CACB3/2
b. For the set of reactions in part (a) kI = 1.25 L/mol.min and k2 = 0.53 L/mol.mn. If a feed of 2.4 mol/L of A and 1.2 mol/L of Bare fed to the selected reactor in (a)
i. What volume of rector is needed to achieve 45% conversion of A? The volumetric flow rate v0 is 10 L/min.
ii. Plot the concentration of A, B, C and D as a function of space time (r), what is the overall yield of C at 45% conversion of A?
Problem 2:
Determine the rate law and rate law parameters of the reaction 2H2 + 2NO → N2 + 2H2O from the following constant-volume data were equimolar amount of hydrogen and nitrate oxide at a temperature of 300K:
|
Total pressure, mm Hg
|
200
|
240
|
280
|
320
|
360
|
|
Half-life, sec
|
265
|
186
|
115
|
104
|
67
|
Use non-linear regression in Polymath.
Problem 3:
At a room temperature sucrose is hydrolyzed by the catalytic action of the enzyme sucrose as follows:
Sucrose → products
Starting with a sucrose concentration CSo = 1.0 mol/liter and an enzyme concentration CE0 = 0.01 mol/liter, the following kinetic data are obtained in a batch reactor (concentration calculated from optical rotation measurements):
|
CS. Mol/liter
|
0.84
|
0.68
|
0.53
|
0.38
|
0.27
|
0.16
|
0.09
|
0.04
|
0.018
|
0.006
|
0.0025
|
|
T, hr
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
a. Fit the data to the Michaelis-Menten kinetics reaction rate equation.
Determine Km and µmix
b. Find the time needed for substrate (sucrose) concentration to drop to 0.1 mol/liter.