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How long does it take for a randomly moving protein to travel the distance of a 10-mu m cell
diameter, if its diffusion coefficient is 10^-12 m^2/s?
Solution
t=X2/2D
t=Time
D=Diffusion coefficient=10-12 m2/s
X=mean distance traveled by the protein=10um=10-6 m
X2=(10-6)2m=10-12 m2
t=10-12/2*10-12 sec
=1/2 Sec
So time required for the protein to travel the distance is 0.5 sec.

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  • 1. How long does it take for a randomly moving protein to travel the distance of a 10-mu m cell diameter, if its diffusion coefficient is 10^-12 m^2/s? Solution t=X2/2D t=Time D=Diffusion coefficient=10-12 m2/s X=mean distance traveled by the protein=10um=10-6 m X2=(10-6)2m=10-12 m2 t=10-12/2*10-12 sec =1/2 Sec So time required for the protein to travel the distance is 0.5 sec.