Diffusion -- What is average distance travelled?

  • Thread starter Thread starter vegemite
  • Start date Start date
  • Tags Tags
    Average Diffusion
Click For Summary
SUMMARY

The discussion centers on calculating the average distance traveled by an ion with a diffusion coefficient of 10^-8 m²/s in water over a period of 30 minutes. The relevant equation is √x = √2Dt, where D represents the diffusion coefficient and t is the time in seconds. Participants emphasize the importance of plotting the graph of distance against time to validate the equation and derive the diffusion constant from the slope of the resulting line. The confusion around unit conversion and graph visualization is noted as a common challenge among learners.

PREREQUISITES
  • Understanding of diffusion coefficients and their units
  • Familiarity with the equation √x = √2Dt
  • Basic graphing skills for plotting mathematical relationships
  • Knowledge of time conversion from minutes to seconds
NEXT STEPS
  • Learn how to convert time units for diffusion calculations
  • Explore graphing techniques for visualizing mathematical equations
  • Study the concept of diffusion in different mediums, such as gases and solids
  • Investigate methods for determining diffusion constants experimentally
USEFUL FOR

Students in physics or chemistry, educators teaching diffusion concepts, and researchers interested in ion transport phenomena.

vegemite
Messages
3
Reaction score
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
 
Physics news on Phys.org
This is the same thing as finding the center of mass. So what is your equation for determining the center of mass?

Chet
 

Similar threads

Calculating Average Distance Diffused
  • · Replies 2 ·
Replies
2
Views
2K
Particle distribution, Diffusion
  • · Replies 1 ·
Replies
1
Views
1K
Trying to get an average speed of 60 MPH
  • · Replies 8 ·
Replies
8
Views
3K
Kinematics: Find average speed from displacement-time graph.
  • · Replies 10 ·
Replies
10
Views
5K
What is the displacement and average velocity of a classic car in a road rally?
  • · Replies 1 ·
Replies
1
Views
2K
Distance Traveled & Average Speed
  • · Replies 5 ·
Replies
5
Views
2K
Acceleration-time graph: average distance and average force
  • · Replies 13 ·
Replies
13
Views
4K
What Is the Diffusion Coefficient of Odour Molecules?
  • · Replies 1 ·
Replies
1
Views
5K
Calculating average velocity for this kind of motion
  • · Replies 3 ·
Replies
3
Views
2K
Distance traveled during a head on collision
  • · Replies 36 ·
2
Replies
36
Views
6K