Suppose a cell is suspended in a solution cor

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Suppose a cell is suspended in a solution containing a solute of constant concentration C.. Suppose further that the cell has constant volume V and that the area of its permeable
membrane is the constant A. By Fick's law the rate of change of its mass m is directly proportional to the area A and the difference C. - C(t), where C(t) is the concentration of the solute
inside the cell at time t. Find C(t) if m = V. C(t) and C(0) = Co: See the figure below. (Use k > 0 as the proportionality constant.)
C(t) =
concentration/ concentration
C(t)
molecules of solute
diffusing through
cell membrane
Transcribed Image Text:Suppose a cell is suspended in a solution containing a solute of constant concentration C.. Suppose further that the cell has constant volume V and that the area of its permeable membrane is the constant A. By Fick's law the rate of change of its mass m is directly proportional to the area A and the difference C. - C(t), where C(t) is the concentration of the solute inside the cell at time t. Find C(t) if m = V. C(t) and C(0) = Co: See the figure below. (Use k > 0 as the proportionality constant.) C(t) = concentration/ concentration C(t) molecules of solute diffusing through cell membrane
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