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Posted Date: 22 Apr 2009 Posted By: Sunil Reddy Member Level: Platinum
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2009 Jawaharlal Nehru Technological University IV B.Tech II Semester Regular Examinations, February 2009 COMPUTER APPLICATION IN CHEMICAL ENGINEERING Question paper
1. Apply Runge-Kutta third order method to find an approximate value of y when x
=0.2 in steps of 0.1, given that dy/dx = x+y2 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.
3. Solve by Gauss elimination method x + y + z = 6.6 x - y + z = 2.2 x + 2y + 3z
= 15.2. [16]
4. (a) Find a real root of the equation X3 -2X -5 = 0 by the Regula-falsi method
correct to three decimal places.
(b) How does one choose the initial value of the root .
5. For the reaction CO2 (g) + 4H2(g) ! 2H2O(g) + CH4(g) the standard heat of
reaction can be expressed as H0
T =H’ + aT + (ß/2)T2 + (?/3)T3 ; H’=-
148345 j; a=-62.54; ß=46.3510-3 ; ?= -7.21 × 10-6 . Find the relevant
temperature at which standard heat of reaction is equal to -183950j using iterative
method. [16]
6. The specific heat of the Hexane was measured at various temperatures during the
heating and given in the following table
Temp(T),K 298 350 400 450 500 550
Cp/R 16.24 18.229 20.07 21.84 23.53 25.14
If the relationship between specific heat and temperature is of the form: Cp/R=A+BT+CT2+DT3
Estimate the coefficients using polynomial regression. What is the value of specific
heat at 700K.
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, find the stationary points and
test them for maxima or minima. [8+8]
8. Minimize y = (2x - 9)2
0 < x < 10 for 6 Fibonacci experiments.
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