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Goshia [24]
3 years ago
13

The diffusion coefficient for sodium ions crossing a biological membrane 12nm thick is 1.5 x10-18 m2/s. what flow rate of sodium

ions would move across an area 12nm x 12 nm if the concentration difference across the membrane is 0.60 mol/dm3
Chemistry
1 answer:
Vladimir [108]3 years ago
8 0

Answer:

-1.08\times 10^{23} mol/s

Explanation:

We are given that

Diffusion coefficient,D=1.5\times 10^{-18} m^2/s

Thickness of membrane,dx=12nm=12\times 10^{-9} m

1 nm=10^{-9} m

Area,A=12\times 12=144nm^2=144\times 10^{-18} m^2

Concentration differences,dc=0.60 mol/dm^3=0.60\times 1000=600mol/m^3

We have to find the flow rate of sodium ions.

Flow rate,\frac{dn}{dt}=-DA\frac{dc}{dx}

Using the formula

\frac{dn}{dt}=-\frac{1.5\times 10^{-18}\times (144\times 10^{-18})\times 600}{12\times 10^{-9}}=-1.08\times 10^{23} mol/s

\frac{dn}{dt}=-1.08\times 10^{23} mol/s

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