The derivation of the movement of chemical assumed that chemical moved as easily into the cell as out of it. If the membrane can act as a filter, the rates at which chemical enters and leaves might differ, or might depend on the concentration itself. In each of the following cases, draw a diagram illustrating the situation and write the associated differential equation. Let C be

Chemistry
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Chapter1: Chemical Foundations
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The derivation of the movement of chemical assumed that chemical moved as easily into the cell as out of it. If the membrane can act as a filter, the rates at which chemical enters and leaves might differ, or might depend on the concentration itself. In each of the following cases, draw a diagram illustrating the situation and write the associated differential equation. Let C be the concentration inside the cell, the concentration outside, and β the constant of proportionality relating the concentration and the rate.

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