Suppose that the electric potential outside a living cell is higher than that inside the cell by 0.09 How much work is done by the clectric force when a sodium ion charge d e s brore the outside to the inside Number Units the tolerance is */-2%

Respuesta :

Answer:

[tex]1.44\cdot 10^{-20} J[/tex]

Explanation:

The difference in electric potential between the inside and the outside of the cell is

[tex]\Delta V = 0.09 V[/tex]

The work done by the electric force to bring the ion from outside to inside is

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

where

q is the charge of the ion

A sodium ion, [tex]Na^+[/tex], has given off an electron: so its electric charge is

[tex]q=+e=+1.6\cdot 10^{-19} C[/tex]

Therefore, the work done is:

[tex]Q=(1.6\cdot 10^{-19})(0.09)=1.44\cdot 10^{-20} J[/tex]

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