A K+ ion and a Cl− ion are directly across from each other on opposite sides of a membrane 7.700 nm thick. What is the electric force on the K+ ion due to the Cl− ion?

Respuesta :

Answer:

[tex]-3.896\times 10^{-12} N[/tex] is an electric force on the potassium ion due to the chloride ion.

Explanation:

Charge on potassium ion = [tex]q_1=1.602\times 10^{-19} C[/tex]

Charge on chlorine ion = [tex]=q_2=-1.602\times 10^{-19} C[/tex]

Separation between these two charges = r = [tex]7.700 nm=7.700\times 10^{-9} m[/tex]

[tex]1 nm=10^{-9} m[/tex]

Electric force on the potassium ion due to the chloride ion = F

Coulomb's law is given as ;

[tex]F=K\times \frac{q_1\times q_2}{r^2}[/tex]

[tex]q_1,q_2[/tex] = Charges on both charges

r = distance between the charges

K = Coulomb constant =[tex]9\times 10^{9} N m^2/C^2[/tex]

[tex]F=9\times 10^{9} N m^2/C^2\times \frac{1.602\times 10^{-19} C\times (-1.602\times 10^{-19} C)}{(7.700\times 10^{-9} m)^2}[/tex]

[tex]F=-3.896\times 10^{-12} N[/tex]

(negative sign indicates that attractive force is exerting between two ions)

[tex]-3.896\times 10^{-12} N[/tex] is an electric force on the potassium ion due to the chloride ion.

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