Register to reply

Radius of the particle? Diffusion Problem

by element41$
Tags: diffusion, physics, radius
Share this thread:
Feb23-10, 05:43 PM
P: 8
1. The problem statement, all variables and given/known data
One tool in analyzing proteins is gel diffusion. The technique is used to determine the size of the protein being analyzed. The following values are for diffusion through agarose gel.
D (m2/s)
Lysozyme 1.18E-10
BSA 3.90E-11
adolase 6.50E-11
Cu2+ 1.00E-10
glucose 2.90E-10
insulin 4.60E-10
The diffusion constant values are for the flux of particles, not change in concentration over time.

Treating the diffusing particles as spheres moving through a liquid which presents resistance or “drag”, the diffusion constant can be related to the effective particle radius as

Where k is Boltzmann’s constant, η is the viscosity, T is the temperature in Kelvin and R is the radius. Using 20ºC as the temperature and the above diffusion constants for insulin and lysosyme, Calculate the effective radii of the two proteins. An appropriate value for the viscosity is 100 centipoise = 0.1 Pa•s.

Do for Insulin and Lysozyme..... Or just one i did them but i am not sure my answer is correct the seem to high.

2. Relevant equations


3. The attempt at a solution
These are the answers i got when i attempted the solution. They seem to big though?

Insulin i got R=1.9g x10^11

Lysozyme i got R=1.552 x 10^10

I just solved for R using the equation above
Phys.Org News Partner Science news on
Scientists discover RNA modifications in some unexpected places
Scientists discover tropical tree microbiome in Panama
'Squid skin' metamaterials project yields vivid color display
Feb23-10, 06:01 PM
P: 8
I actually get 5.10x 10^-12 for insulin

and 6.44x 10^-11 for lysozyme

The other answers were 1/R not R

Is this correct because the are "effective"radius?

Register to reply

Related Discussions
Acceleration and radius of curvature of a particle Engineering, Comp Sci, & Technology Homework 5
How to estimate particle radius and density Atomic, Solid State, Comp. Physics 0
Radius of motion of particle through magnetic field. Advanced Physics Homework 2
Deriving the critical radius of Uranium using diffusion equation Advanced Physics Homework 2