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

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

Step-by-step explanation:

It is given that,

Diffusion constant of ATP is,
`D=3* 10^(-10)\ m^2s^(-1)`

Distance to be diffused across is,
`x=20\ \mu m=20* 10^(-6)\ m`

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

`t=(x^2)/(2D)`

`t=((20* 10^(-6)\ m)^2)/(2* 3* 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.