a) The concentration of a chemical in a completely mixed reactor pertains to the following equation: c = Cin(1 – e-0.04t) + coe-0.04t If the initial concentration co = 5 g/m³ and the inflow concentration cin = 10 g/m³, identify the time taken for c to be 75 percent of cin using bisection method with an initial values of 7 and 12 for lower and upper bound respectively. The acceptable approximate percent error must be less than 2%. Perform the calculation up to 4 decimal points.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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How to solve it by bisection method?

a) The concentration of a chemical in a completely mixed reactor pertains to the following
equation:
c = Cin(1 – e-0.04t) + coe-0.04t
If the initial concentration co = 5 g/m³ and the inflow concentration Cin = 10 g/m, identify
the time taken for c to be 75 percent of Cin using bisection method with an initial values of
7 and 12 for lower and upper bound respectively. The acceptable approximate percent
error must be less than 2%. Perform the calculation up to 4 decimal points.
Transcribed Image Text:a) The concentration of a chemical in a completely mixed reactor pertains to the following equation: c = Cin(1 – e-0.04t) + coe-0.04t If the initial concentration co = 5 g/m³ and the inflow concentration Cin = 10 g/m, identify the time taken for c to be 75 percent of Cin using bisection method with an initial values of 7 and 12 for lower and upper bound respectively. The acceptable approximate percent error must be less than 2%. Perform the calculation up to 4 decimal points.
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