Solved: Review Conceptual Example 6 as background for this

Chapter , Problem 51

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Review Conceptual Example 6 as background for this problem. It is possible to convert Ficks law into a form that is useful when the concentration is zero at one end of the diff usion channel (C1 5 0 in Figure 14.15a). (a) Noting that AL is the volume V of the channel and that m/V is the average concentration of solute in the channel, show that Ficks law becomes t 5 L2 /(2D). This form of Ficks law can be used to estimate the time required for the fi rst solute molecules to traverse the channel. (b) A bottle of perfume is opened in a room where convection currents are absent. Assuming that the diff usion constant for perfume in air is 1.0 3 1025 m2 /s, estimate the minimum time required for the perfume to be smelled 2.5 cm away.

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