Answered: diffusion

Science

Physics

diffusion

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter20: Kinetic Theory Of Gases

Section: Chapter Questions

Problem 65PQ

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Question

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A very thin layer of oil floats on top of water. A drop of dye is placed at the center of the oil. The dye diffuses through the oil in all directions equally with a diffusion constant D₀_. Since the layer of oil is thin, we can assume the diffusion is two-dimensional. After a time T₀ has passed, the dye has diffused a distance of 5 mm. If the dye had a diffusion constant of D₀/3 what distance would the dye have diffused after a time T₀/4_? Give your answer in units of mm. (Round your answer to two decimal places.)

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