Chemistry: Humans are protected from some infection by specialized cells which produce chemicals that

Explanation:We are given that Diffusion coefficient,Thickness of membrane,Area,Concentration differences,We have to find the flow rate of sodium ions.Flow rate,Using the formula...

Humans are protected from some infection by specialized

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orlando979

24.05.2021

Chemistry

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

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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