A potential difference of 122 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:

195.2 × 10⁻¹⁹ J.

Explanation:

The relation between the work done, potential difference and charge is as follows;

V = w / q.

Here, the potential difference, V = 122mV and q is the charge = 1.6 × 10⁻¹⁹ C

Substitute these values to find the amount of work done

W = v × q

W = 122 × 1.6 × 10⁻¹⁹

W = 195.2 × 10⁻¹⁹ J

Thus, the answer is 195.2 × 10⁻¹⁹ J.

Answer:

[tex]W = 1.95 * 10^{-20}[/tex] J

Explanation:

The potential on the inner side of the membrane is [tex]0[/tex]mV

And the potential  on the outer side of the membrane is [tex]122[/tex] mV

So the potential difference across the inner and outer membrane is equal to [tex]122[/tex] mV

We know that work done is equal to

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

Where, q represents the charge of the particle and

V represents the potential difference across the inner and outer membrane

Substituting the given values in above equation, we get -

[tex]W = 1.6 * 10^{-19} * 122 * 10^{-3}\\W = 195.2 * 10^ {-22}[/tex]

[tex]W = 1.95 * 10^{-20}[/tex] J