Question

The diffusion constant of ATP is 3 x 10-10 m2 s-1. How long would it take for ATP to diffuse across an average cell (about 20 μm across)? coltion The cross-

Answer 1

Answer:

The time taken for ATP to diffuse across an average cell is 0.66 seconds

Explanation:

It is given that,

Diffusion constant of ATP is, $D=3\times 10^{-10}\ m^2s^{-1}$

Distance to be diffused across is, $x=20\ \mu m=20\times 10^{-6}\ m$

We need to find the time taken for ATP to diffuse across an average cell. It is given by :

$t=\dfrac{x^2}{2D}$

$t=\dfrac{(20\times 10^{-6}\ m)^2}{2\times 3\times 10^{-10}\ m^2s^{-1}}$

t = 0.66 seconds

So, the time taken for ATP to diffuse across an average cell is 0.66 seconds. Hence, this is the required solution.