In a mixed reactor, the concentration of a chemical is given by:C = Cin(1-e-0.025t)+cole-0.025t)Where Cin=15 and co=4. Compute the time required for c to be 40 percent of Cin using the following:a. Performing two iterations using the bisection method with ao=3 and bo=20.b. Performing two iterations using the false position method with an=3 and bo=20.c. Performing two iterations using the Newton-Raphson Method with to=5.d. Performing two iterations using the secant method with to=15 and t-1=12.e. Performing two iterations using fixed-point iteration to=2. Before doing any iterations, check if the iterating function you selected will converge tothe root.Calculate the true % error of your final result in each of the cases.

Solution for a: Given function is c=cin(1-e-0.025t)+c0(e-0.025t) (1) we have…

In a mixed reactor, the concentration of a chemical is given by: C = Cin(1-e-0.025t) +c(e-0.025t) Where cin=15 and co=4. Compute the time required for c to be 40 percent of Cin using the following: a. Performing two iterations using the bisection method with ao=3 and bo=20. b. Performing two iterations using the false position method with ao=3 and bo=20.

In a mixed reactor, the concentration of a chemical is given by: C = Cin(1-e-0.025t) +c(e-0.025t) Where cin=15 and co=4. Compute the time required for c to be 40 percent of Cin using the following: a. Performing two iterations using the bisection method with ao=3 and bo=20. b. Performing two iterations using the false position method with ao=3 and bo=20.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

In a mixed reactor, the concentration of a chemical is given by:
C = Cin(1-e-0.025t)+cole-0.025t)
Where Cin=15 and co=4. Compute the time required for c to be 40 percent of Cin using the following:
a. Performing two iterations using the bisection method with ao=3 and bo=20.
b. Performing two iterations using the false position method with an=3 and bo=20.
c. Performing two iterations using the Newton-Raphson Method with to=5.
d. Performing two iterations using the secant method with to=15 and t-1=12.
e. Performing two iterations using fixed-point iteration to=2. Before doing any iterations, check if the iterating function you selected will converge to
the root.
Calculate the true % error of your final result in each of the cases.

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