Diffusion -- What is average distance travelled?

In summary, the conversation is asking for help understanding the topic of diffusion and how to calculate the average distance traveled by a type of ion in water after 30 minutes. They are also discussing the use of a graph to test the validity of the equation r=√2Dt and how to obtain the diffusion constant from the graph. The person has attempted to transpose the equation but has struggled with transferring the correct units and visualizing it as a graph. They mention that the problem is similar to finding the center of mass and ask for help with the equation for determining the center of mass.
  • #1
vegemite
3
0

Homework Statement



Would appreciate any help quite confused on this topic.
If a type of ion has a diffusion coefficient of 10^-8 m^2/s in water. What is average distance traveled after 30 mins?

What sort of graph should you plot in order to easily test validity of r=squarer root-2Dt. How will value of diffusion constant be obtained from such a graph?

Homework Equations



√x=√2Dt

The Attempt at a Solution



I've tried to transpose th equation and failed at transferring the correct units. also I don't know how to visualize it as a graph.

thanks
 
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  • #2
This is the same thing as finding the center of mass. So what is your equation for determining the center of mass?

Chet
 

Related to Diffusion -- What is average distance travelled?

1. What is diffusion?

Diffusion is the movement of molecules from an area of high concentration to an area of low concentration. This process occurs naturally and is driven by the random motion of molecules.

2. How does diffusion work?

Diffusion occurs when molecules move from an area of higher concentration to an area of lower concentration. This movement is driven by the random kinetic energy of molecules, causing them to spread out and become evenly distributed.

3. What factors affect the rate of diffusion?

The rate of diffusion is affected by several factors, including temperature, size of molecules, concentration gradient, and the medium through which diffusion occurs. Higher temperatures, smaller molecules, and larger concentration gradients all increase the rate of diffusion.

4. What is the average distance travelled during diffusion?

The average distance travelled during diffusion is dependent on several factors, including the initial concentration gradient, the size of the molecules, and the temperature. However, on average, molecules can travel a few micrometers to several millimeters during diffusion.

5. How is diffusion important in biological systems?

Diffusion is crucial for many biological processes, including gas exchange in the lungs, nutrient and waste exchange in cells, and the transport of hormones and neurotransmitters. Without diffusion, these processes would not be possible, and cells would not be able to survive.

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