Passive Transport Homework: Solving Diffusion Problems

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In summary, the conversation discusses the calculation of the diffusion coefficient for a particle with a diameter of 50 nm. The equation D = k_BT/6πηR is used, and the resulting diffusion flux is calculated as j_{diff} = -4.4E-12 c_0. The question of whether or not this is correct and the units are also addressed. Additionally, the continuity equation is mentioned as a hint for solving part c) of the problem.
  • #1
superwolf
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Homework Statement



6enomg.jpg


2. The attempt at a solution

a) The particle seems to be 50 nm in diameter, so

[tex]
D = \frac{k_BT}{6 \pi \eta R} = 4.4E-12 m^2s^{-1}
[/tex]

b)

[tex]
j_{diff}=-D\frac{dc}{dx} = -4.4E-12 \cdot \frac{dc}{dx}
[/tex]

I don't know what to do next...Can I assume [tex]c(x) = c_0x[/tex]? In that case,

[tex]
j_{diff} = -4.4E-12 c_0
[/tex]

Is this correct? What are the units?

And how to do c)?
 
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  • #2
superwolf said:
I don't know what to do next...Can I assume [tex]c(x) = c_0x[/tex]?

What does the continuity equation tell you about the flux in the tube? Hint: Fick's Second Law
 

1. What is passive transport?

Passive transport is a biological process in which molecules or particles move across a cell membrane without the use of energy. This movement occurs from an area of high concentration to an area of low concentration, in order to reach equilibrium.

2. What is diffusion?

Diffusion is a type of passive transport in which particles or molecules move from an area of high concentration to an area of low concentration. This process occurs spontaneously and does not require the use of energy.

3. How does passive transport work?

Passive transport works by allowing molecules or particles to move freely across a cell membrane without the use of energy. This movement is driven by the concentration gradient, with molecules moving from areas of high concentration to areas of low concentration until equilibrium is reached.

4. What factors affect the rate of diffusion?

The rate of diffusion can be affected by several factors, including the concentration gradient, temperature, and the size and shape of the molecules involved. A steeper concentration gradient, higher temperature, and smaller molecules can all increase the rate of diffusion.

5. How is passive transport important for cells?

Passive transport is essential for cells as it allows them to maintain a balance of molecules and ions inside and outside of the cell. This balance, known as homeostasis, is necessary for cells to function properly and carry out their various roles in the body.

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