The following equation pertains to the concentration of a chemical in a completely mixed reactor: c = Cin(1 – e-0.04t) + Coe-0.04t If the initial concentration co = 4 and the inflow concentration Cin=10, compute the time required for c to be 93 percent of Cin. By a) Use three iterations of Regula Falsi method to determine the answer. b) Use three iterations of Newton Raphson method to determine the answer.

The following equation pertains to the concentration of a chemical in a completely mixed reactor: c = Cin(1 – e-0.04t) + Coe-0.04t If the initial concentration co = 4 and the inflow concentration Cin=10, compute the time required for c to be 93 percent of Cin. By a) Use three iterations of Regula Falsi method to determine the answer. b) Use three iterations of Newton Raphson method to determine the answer.

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

1. The following equation pertains to the concentration of a chemical in a
completely mixed reactor:
c = Cin(1 – e-0.04t) + Coe-0.04t
If the initial concentration co = 4 and the inflow concentration cin=10,
compute the time required for c to be 93 percent of Cin. By
a) Use three iterations of Regula Falsi method to determine the answer.
b) Use three iterations of Newton Raphson method to determine the answer.

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