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Suppose a cell is suspended in a solution cor

Suppose a cell is suspended in a solution cor

Advanced Engineering Mathematics
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
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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