Review Conceptual Example 7 before working this problem.

Chapter 14, Problem 14.81

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Review Conceptual Example 7 before working this problem. For water vapor in air at 293 K, the diffusion constant is D 2.4 105 m2 /s. As outlined in 51(a), the time required for the first solute molecules to traverse a channel of length L is t L2 /(2D), according to Ficks law. (a) Find the time t for L 0.010 m. (b) For comparison, how long would a water molecule take to travel L 0.010 m at the translational rms speed of water molecules (assumed to be an ideal gas) at a temperature of 293 K? (c) Explain why the answer to part (a) is so much longer than the answer to part (b). 48.

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