A potential difference of 123 mV exists between the inner and outer surfaces of a cell membrane. The inner surface is negative relative to the outer surface. How much work is required to eject a positive sodium ion (Na+) from the interior of the cell?

Respuesta :

Answer:

Work done, [tex]W=1.96\times 10^{-20}\ J[/tex]

Explanation:

It is given that,

Potential difference between the inner and outer surfaces of a cell membrane, [tex]\Delta V=123\ mV=123\times 10^{-3}\ V[/tex]

The inner surface is negative relative to the outer surface. Let W is the work required to eject a positive sodium ion (Na+) from the interior of the cell. Work done is given by :

[tex]W=q\Delta V[/tex]

q is the charge on electron

[tex]W=1.6\times 10^{-19}\ C\times 123\times 10^{-3}\ V[/tex]

[tex]W=1.96\times 10^{-20}\ J[/tex]

So, the work required to eject a positive sodium ion (Na+) from the interior of the cell is [tex]1.96\times 10^{-20}\ J[/tex]. Hence, this is the required solution.

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