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Posted By: sunil Member Level: Diamond Posted Date: 01 Jul 2008
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2007 Jawaharlal Nehru Technological University IV B.Tech II Semester Regular Examinations, Apr/May 2007 COMPUTER APPLICATION IN CHEMICAL ENGINEERING Question paper
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Code No: RR420803
Set No. 4
IV B.Tech II Semester Regular Examinations, Apr/May 2007
COMPUTER APPLICATION IN CHEMICAL ENGINEERING
(Chemical Engineering)
Time: 3 hours
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
Max Marks: 80
1. Using Euler’s method, ?nd an approximate value of y corresponding to x = 1, given
that dy/dx = x + y and y = 1 when x = 0.
[16]
2. Solve by Cramer’s rule, the equations:2x1+5x2+3x3= 1,-x1+2x2+x3=2,x1+x3+x2=
0.
[16]
3. Find the solution to the set of equations shown below. 2x1- 3x2- 3x3+ 6x - 4 =
15; 4x1+2x2+3x-3-4x4= 10; 5x1+6x2+x3-12x-4 = 5; 3x1-x2+2x3+2x4= 13
using Gauss Elimination method.
[16]
4. (a) Solve the equation X2- 25 = 0 numerically using Newton-Raphson method.
(b) Write the computational procedure to evaluate the roots of the equation .
[10+6]
5. Calculate the molar volume of methanol vapor at 400 K and 8 bar by using Redlich-
Kwong equation of stateV = [RT/P + b - a(V - b)/{T0.5.PV(V + b)}] Where a=0.4278R2
Tc2.5/Pc; b= 0.0867RTc/Pc;Tc=512.6 K; Pc=81 bar. Use the regular falsi method.
[16]
6. A zero order liquid phase reaction A?R is conducted in a constant volume batch
reactor and the following data were reported. Fit the data in the zero order rate
equation using least square regression technique and ?nd the rate constant(k).
Data: Initial reactant concentration CA0=2gmol/lit, -rA=-dCA/dt=k.
Time(t),min 0 0.25 0.5 0.75 1.0 1.25 1.50
Conversion(X) 0 0.11 0.19 0.31 0.39 0.51 0.60
[16]
7. (a) Illustrate the importance of optimization techniques in chemical engineering
giving at least four examples.
(b) Given the function f(x) = 80/x + 20x + 20, ?nd the stationary points and
test them for maxima or minima.
8. Minimize y = (2x - 9)2
0 < x < 10 for 6 Fibonacci experiments.
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