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B S of -d 6.18 A mass balance for a pollutant in a well-mixed lake can be written as dc - V =W - Qc - kV √√C dt Given the parameter values V = 1 x 106m³, Q = 1 x 105 m³/yr, W = 1 × 106 g/yr, and k = 0.25 mº.5/g0.5/yr, use the modified secant method to solve for the steady-state concentration. Employ an initial guess of c = 4 g/m³ and 8 = 0.5. Perform three iterations and determine the percent relative error after the third iteration. 1 C

B S of -d 6.18 A mass balance for a pollutant in a well-mixed lake can be written as dc - V =W - Qc - kV √√C dt Given the parameter values V = 1 x 106m³, Q = 1 x 105 m³/yr, W = 1 × 106 g/yr, and k = 0.25 mº.5/g0.5/yr, use the modified secant method to solve for the steady-state concentration. Employ an initial guess of c = 4 g/m³ and 8 = 0.5. Perform three iterations and determine the percent relative error after the third iteration. 1 C

Advanced Engineering Mathematics
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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Solve only the number 6.18
S S of ed 6.18 A mass balance for a pollutant in a well-mixed lake can be written as nt hat ted ren- 9 dc v =W - Qc - kV √√C dt Given the parameter values V = 1 x 106m³, Q = 1 x 105 m³/yr, W = 1 x 106 g/yr, and k = 0.25 mº.5/g0.5/yr, use the modified secant method to solve for the steady-state concentration. Employ an initial guess of c = 4 g/m³ and 8 = 0.5. Perform three iterations and determine the percent relative error after the third iteration. 6.19 For Prob. 6.18, the root can be located with fixed-point iteration as 170 e-("=0c)² (WOC)² kV C= or as 2 0 W - kV √c ins prt sc delete backspace home ADAM num lock 3:28 AM 9/18/2022 end pg u
Transcribed Image Text:S S of ed 6.18 A mass balance for a pollutant in a well-mixed lake can be written as nt hat ted ren- 9 dc v =W - Qc - kV √√C dt Given the parameter values V = 1 x 106m³, Q = 1 x 105 m³/yr, W = 1 x 106 g/yr, and k = 0.25 mº.5/g0.5/yr, use the modified secant method to solve for the steady-state concentration. Employ an initial guess of c = 4 g/m³ and 8 = 0.5. Perform three iterations and determine the percent relative error after the third iteration. 6.19 For Prob. 6.18, the root can be located with fixed-point iteration as 170 e-("=0c)² (WOC)² kV C= or as 2 0 W - kV √c ins prt sc delete backspace home ADAM num lock 3:28 AM 9/18/2022 end pg u
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