The diffusion coefficient of glucose is [tex]5.70\times 10^{-7}cm^{2}/s[/tex]. Glucose molecule diffuse to [tex]11.3\mu m[/tex], time for diffusion can be calculated as follows:
[tex]t=\frac{x^{2}}{2D}[/tex]
To calculate the time first convert x into cm
[tex]1\mu m=10^{-6} m[/tex]
Also,
[tex]1 m=100 cm[/tex]
Thus,
[tex]10^{-6} m=10^{-4}cm[/tex]
and,
[tex]11.3\mu m=11.3\times 10^{-4} cm[/tex]
Putting the values,
[tex]t=\frac{(11.3\times 10^{-4} cm)^{2}}{2(5.70\times 10^{-7}cm^{2}/s)}=1.12 s[/tex]
Therefore, time taken for diffusion will be 1.12 s.
