Benzene is dissolved at a constant initial concentration of 300 mg/l and is contained within a landfill in leachate water above bottom liner of the landfill system. It starts to diffuse through the liner at time t = 0.  Using Equation Ci (x,t) = C0 erfc x/2(D*t)0.5related narrative, and Appendix A (error function table),  calculate the concentration of benzene at its breakthrough location as it diffuses through a 1 meter thick liner (x=1 meters represents breakthrough location where liner fails, contaminant is released), after 50 years.    Assume D = 10-6 m2/sec (diffusion coefficient in free standing water) and w = 0.5 (coefficient of tortuousity).

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Benzene is dissolved at a constant initial concentration of 300 mg/l and is contained within a landfill in leachate water above bottom liner of the landfill system. It starts to diffuse through the liner at time t = 0. 

Using Equation C(x,t) = C0 erfc x/2(D*t)0.5related narrative, and Appendix A (error function table),  calculate the concentration of benzene at its breakthrough location as it diffuses through a 1 meter thick liner (x=1 meters represents breakthrough location where liner fails, contaminant is released), after 50 years.   

Assume D = 10-6 m2/sec (diffusion coefficient in free standing water) and w = 0.5 (coefficient of tortuousity). 

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