Courses

# THAPAR UNIVERSITY Computational Methods in Chemical Engineering,MARCH 2015 PAPER Notes | EduRev

## : THAPAR UNIVERSITY Computational Methods in Chemical Engineering,MARCH 2015 PAPER Notes | EduRev

``` Page 1

Roll Number:
Thapar University Patiala
Department of Chemical Engineering
M. Tech- Chemical Engineering 	 PCH2O3: Computational Methods in
MST, March 2015 	 Chemical Engineering
Time: 02 Hours; MM: 30 	 Name of Faculty: Dr.V. K. Sangal
Note: Attempt all questions and assume any missing data suitably.
1.
The optimum recycle ratio for an autocatalytic reaction is given by the solution of the following
differential equation:
In[(1+ 0.01R)/ 0.0111] = [(R+1)/ (1 + 0.0IR)R}
Solve this equation by Newton-Raphson method.
(4)
2.
The reaction rate constant for the decomposition of a substituted dibasic acid has been determined
at various temperatures as given in the following table. Use the method of least squares to
determine the activation energy E in the equation.
K = A &El" , Where T is measured in Kelvin. 	 (6)
Temperature (°C) K X 104  (If' )
50 1.08
70.1 7.34
89.4 45.4
101 138
3.
An insulated rod (insulated around its outer circumference) is 0.20 m long and is of uniform cross
section. It has its right end held at a temperature of 373 K while its left end loses heat to the
surroundings, which are at 293 K. The rod has a thermal conductivity K of 0.52 Cal/(sec* cm *
°
C), and the heat transfer coefficient is 0.073 Cal/(sec/cm 2/°C). Solve for steady state
temperatures using the finite difference method with eight equal subintervals.
(Solve the linear
equations by Tri-diagonal matrices method) 	 (10)
4. A thermocouple at equilibrium with ambient air at 10 °C is plunged into a warm water bath at time
equal to zero. The warm water acts as an infinite heat source at 20°C since its mass is many times
that of the thermocouple. Calculate the response curve of the thermocouple. The governing
differential equation is Newton's law of heating or cooling and is
Cp dT/dt = U A (Tp -T)
Time constant of the thermocouple (Cp/ UA) = 0.4 min'' 	 (5)
5. Solve the set of equations for the time 0.1 sec. 	 (5)
da/dt = 1195 a - 1995 b, 	 a(0) = 2,
db/dt = 1197 a â€” 1997 b, 	 b(0) = -2,
BEST OF LUCK
```
Offer running on EduRev: Apply code STAYHOME200 to get INR 200 off on our premium plan EduRev Infinity!