Question 3. Consider a cell suspended in a fluid containing a particular solute. If initially the concentration of this solute within the cell is less than that in the surrounding fluid then solute will flow into the cell through its permeable cell wall at a rate greater than at which solute will flow out of the cell, resulting in a net flow of solute into the cell. Conversely, if initially the concentration of solute within the cell is greater than that in the surrounding fluid, there will be a net flow of solute out of the cell. Fick's law states that if the surface area of the cell is assumed to remain constant then the rate at which the concentration of solute inside the cell increases or decreases is directly proportional to the difference in concentrations of the solute inside and outside the cell. If the concentration of solute within the cell is denoted by c = c(t) where t is the time, the concentration of the solute in the surrounding fluid is maintained at a constant value a, and the constant of proportionality is denoted by k, express Fick's law mathematically in the form of a Timplo difforontiol îolun thin omm
Question 3. Consider a cell suspended in a fluid containing a particular solute. If initially the concentration of this solute within the cell is less than that in the surrounding fluid then solute will flow into the cell through its permeable cell wall at a rate greater than at which solute will flow out of the cell, resulting in a net flow of solute into the cell. Conversely, if initially the concentration of solute within the cell is greater than that in the surrounding fluid, there will be a net flow of solute out of the cell. Fick's law states that if the surface area of the cell is assumed to remain constant then the rate at which the concentration of solute inside the cell increases or decreases is directly proportional to the difference in concentrations of the solute inside and outside the cell. If the concentration of solute within the cell is denoted by c = c(t) where t is the time, the concentration of the solute in the surrounding fluid is maintained at a constant value a, and the constant of proportionality is denoted by k, express Fick's law mathematically in the form of a Timplo difforontiol îolun thin omm
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,...
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Transcribed Image Text:Question 3. Consider a cell suspended in a fluid containing a particular solute. If initially
the concentration of this solute within the cell is less than that in the surrounding fluid
then solute will flow into the cell through its permeable cell wall at a rate greater than
at which solute will flow out of the cell, resulting in a net flow of solute into the cell.
Conversely, if initially the concentration of solute within the cell is greater than that in
the surrounding fluid, there will be a net flow of solute out of the cell. Fick's law states
that if the surface area of the cell is assumed to remain constant then the rate at which the
concentration of solute inside the cell increases or decreases is directly proportional to the
difference in concentrations of the solute inside and outside the cell. If the concentration
of solute within the cell is denoted by e = c(t) where t is the time, the concentration of
the solute in the surrounding fluid is maintained at a constant value a, and the constant
of proportionality is denoted by k, express Fick's law mathematically in the form of a
simple differential equation. Solve this equation given that c(0) = Co-
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