calculate the force of attraction in n between a cation with a valence of 2 and an anion with a valence of 3 the centers of which are separated by a distance of 6.9 nm



Answer :

The force of attraction would be 1.5 x [tex]10^{-10}[/tex] N

Calculation

According to Coulomb's law constant,

k = 9 x [tex]10^{9}[/tex] N[tex]m^{2}[/tex]/[tex]C^{2}[/tex]

The magnitude of the charge of an electron is

e= 1.6 x [tex]10^{9}[/tex] C

The magnitude of the electric force (F) between the cation and the anion is given by

F = k[tex]\frac{Q^2}{d^2}[/tex]

= k [tex]2e^{2}[/tex]/[tex]d^{2}[/tex]

= (9 x  [tex]10^{9}[/tex] N[tex]m^{2}[/tex]/[tex]C^{2}[/tex]) x [tex]10^{9}[/tex] x {2x (1.6 x [tex]10^{-19})^{2}[/tex]}/ (2.5[tex])^{2}[/tex]

= 1.5 x x [tex]10^{-10}[/tex] N

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