Review Conceptual Example 6 before working this problem. For water vapor in air a 293 K, the diffusion constant is D = 2.4 x 10-5 m2/s. As outlined in Problem 51(a), the time required for the first solute molecules to traverse a channel of length L is t = L2/(2D), according to Fick's law. (a) Find the time t for L = 0.0460 m. (b) For comparison, how long would a water molecule take to travel L = 0.0460 m at the translational rms speed of water molecules (assumed to be an ideal gas) at a temperature of 293 K?
Review Conceptual Example 6 before working this problem. For water vapor in air a 293 K, the diffusion constant is D = 2.4 x 10-5 m2/s. As outlined in Problem 51(a), the time required for the first solute molecules to traverse a channel of length L is t = L2/(2D), according to Fick's law. (a) Find the time t for L = 0.0460 m. (b) For comparison, how long would a water molecule take to travel L = 0.0460 m at the translational rms speed of water molecules (assumed to be an ideal gas) at a temperature of 293 K?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 45P: Fifteen identical particles have various speeds: one has a speed of 2.00 m/s, two have speeds of...
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Review Conceptual Example 6 before working this problem. For water vapor in air a 293 K, the diffusion constant is D = 2.4 x 10-5 m2/s. As outlined in Problem 51(a), the time required for the first solute molecules to traverse a channel of length L is t = L2/(2D), according to Fick's law. (a) Find the time t for L = 0.0460 m. (b) For comparison, how long would a water molecule take to travel L = 0.0460 m at the translational rms speed of water molecules (assumed to be an ideal gas) at a temperature of 293 K?
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