**Diffusion Constant and Concentration Calculation**The diffusion constant for the amino acid glycine in water is \(1.06 \times 10^{-9} \, \text{m}^2/\text{s}\). In a 2.0-cm-long tube with a cross-sectional area of \(1.2 \times 10^{-4} \, \text{m}^2\), the mass rate of diffusion is given as \(\frac{m}{t} = 4.2 \times 10^{-14} \, \text{kg/s}\). The glycine concentration is maintained at a value of \(9.0 \times 10^{-3} \, \text{kg/m}^3\) at one end of the tube and at a lower value at the other end. The problem is to find the lower concentration.**Equation to consider:**Fick's First Law of Diffusion is often used in such problems, which can be given by:\[ J = -D \frac{\Delta C}{\Delta x} \]Where:- \( J \) is the diffusion flux (\(\text{kg/m}^2\text{s}\)),- \( D \) is the diffusion constant (\(\text{m}^2/\text{s}\)),- \(\Delta C\) is the concentration difference (\(\text{kg/m}^3\)),- \(\Delta x\) is the distance (\(\text{m}\)).By using these values, the lower concentration at the other end of the tube can be calculated.(Note: The diagram in the image is a simple entry box labeled "C₁ =" for entering the final calculated value.)

Fick's Law of DiffusionThe mass of a solute diffusing into a solvent kept in a container of length…

The diffusion constant for the amino acid glycine in water is 1.06 × 10⁹ m²/s. In a 2.0-cm-long tube with a cross-sectional area of 1.2 x 10-4 m², the mass rate of diffusion is m/t = 4.2 x 10-14 kg/s, because the glycine concentration is maintained at a value of 9.0 × 10-³ kg/m³ at one end of the tube and at a lower value at the other end. What is the lower concentration? C₁ =

The diffusion constant for the amino acid glycine in water is 1.06 × 10⁹ m²/s. In a 2.0-cm-long tube with a cross-sectional area of 1.2 x 10-4 m², the mass rate of diffusion is m/t = 4.2 x 10-14 kg/s, because the glycine concentration is maintained at a value of 9.0 × 10-³ kg/m³ at one end of the tube and at a lower value at the other end. What is the lower concentration? C₁ =

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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