Suppose a cell is suspended in a solution cor
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd608d232-a827-4526-b5b4-a763d0855f8e%2Fb9a4ac91-d34b-486f-8a92-ff5c38a6189b%2F6p3wnrh_processed.png&w=3840&q=75)
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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