A biofilm is a layer-like aggregation of microscopic particles and organisms attached to a solid surface. Nutrients must diffuse through the layer in order to sustain the organisms throughout the film. A typical biofilm thickness is 0.01 cm and the diffusivity of the nutrients in the biofilm layer is estimated as 0.8 cm^2/day. A. Assume that the concentration in the bulk fluid and at the solid surface are both constant. Derive a general expression for the steady-state concentration profile within the biofilm. (hint: recall that Fick's second law of diffusion can be used to solve for concentration profiles.) B. If the bulk and surface concentrations are 3.2 mg/liter and 0.25 mg/liter respectively,what is the expression for the concentration profile in this specific case? C. Calculate the flux of nutrients at the solid surface and at the interface with the bulk fluid. D. Explain the reasonableness of your answer.
A biofilm is a layer-like aggregation of microscopic particles and organisms attached to a solid surface. Nutrients must diffuse through the layer in order to sustain the organisms throughout the film. A typical biofilm thickness is 0.01 cm and the diffusivity of the nutrients in the biofilm layer is estimated as 0.8 cm^2/day. A. Assume that the concentration in the bulk fluid and at the solid surface are both constant. Derive a general expression for the steady-state concentration profile within the biofilm. (hint: recall that Fick's second law of diffusion can be used to solve for concentration profiles.) B. If the bulk and surface concentrations are 3.2 mg/liter and 0.25 mg/liter respectively,what is the expression for the concentration profile in this specific case? C. Calculate the flux of nutrients at the solid surface and at the interface with the bulk fluid. D. Explain the reasonableness of your answer.
Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
Related questions
Question
100%
A biofilm is a layer-like aggregation of microscopic particles and organisms attached to a solid surface. Nutrients must diffuse through the layer in order to sustain the organisms throughout the film. A typical biofilm thickness is 0.01 cm and the diffusivity of the nutrients in the biofilm layer is estimated as 0.8 cm^2/day.
A. Assume that the concentration in the bulk fluid and at the solid surface are both constant. Derive a general expression for the steady-state concentration profile within the biofilm. (hint: recall that Fick's
second law of diffusion can be used to solve for concentration profiles.)
B. If the bulk and surface concentrations are 3.2 mg/liter and 0.25 mg/liter respectively,what is the expression for the concentration profile in this specific case?
C. Calculate the flux of nutrients at the solid surface and at the interface with the bulk fluid.
D. Explain the reasonableness of your answer.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, biology and related others by exploring similar questions and additional content below.Recommended textbooks for you
Human Anatomy & Physiology (11th Edition)
Biology
ISBN:
9780134580999
Author:
Elaine N. Marieb, Katja N. Hoehn
Publisher:
PEARSON
Biology 2e
Biology
ISBN:
9781947172517
Author:
Matthew Douglas, Jung Choi, Mary Ann Clark
Publisher:
OpenStax
Anatomy & Physiology
Biology
ISBN:
9781259398629
Author:
McKinley, Michael P., O'loughlin, Valerie Dean, Bidle, Theresa Stouter
Publisher:
Mcgraw Hill Education,
Human Anatomy & Physiology (11th Edition)
Biology
ISBN:
9780134580999
Author:
Elaine N. Marieb, Katja N. Hoehn
Publisher:
PEARSON
Biology 2e
Biology
ISBN:
9781947172517
Author:
Matthew Douglas, Jung Choi, Mary Ann Clark
Publisher:
OpenStax
Anatomy & Physiology
Biology
ISBN:
9781259398629
Author:
McKinley, Michael P., O'loughlin, Valerie Dean, Bidle, Theresa Stouter
Publisher:
Mcgraw Hill Education,
Molecular Biology of the Cell (Sixth Edition)
Biology
ISBN:
9780815344322
Author:
Bruce Alberts, Alexander D. Johnson, Julian Lewis, David Morgan, Martin Raff, Keith Roberts, Peter Walter
Publisher:
W. W. Norton & Company
Laboratory Manual For Human Anatomy & Physiology
Biology
ISBN:
9781260159363
Author:
Martin, Terry R., Prentice-craver, Cynthia
Publisher:
McGraw-Hill Publishing Co.
Inquiry Into Life (16th Edition)
Biology
ISBN:
9781260231700
Author:
Sylvia S. Mader, Michael Windelspecht
Publisher:
McGraw Hill Education