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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Glycerin in water diffuses along a horizontal column that has a cross-sectional area of 2.0 cm2. The concentration gradient is 3.0 × 10−2 kg/m4, and the diffusion rate is found to be 5.7 × 10−15 kg/s. Determine the diffusion coefficient.

To determine
The diffusion coefficient of glycerine.

Explanation
From Fick’s law, the diffusion rate of glycerine is defined as Diffusionrate=masstime=DA(C2C1L) and the diffusion constant is D=DiffusionrateA(C2C1/L) . where (C2C1)/L=ΔC/L is called as concentration gradient.

Given info: The cross-sectional area of the column is 2.0cm2 , the diffusion rate is 5.7×1015kg/s , and the concentration gradient is 3.0×102kg/m4 .

The formula for the diffusion coefficient is,

D=DiffusionrateA(ΔC/L)

ΔC/L is concentration gradient

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