The magnitude of the electrostatic force between two identical ions that are separated by a distance of 5.0A is 3.7×10^-9N.a) what is the charge of each ion?b) how many electrons are missing from each ion( thus giving the ion its charge imbalance)?

Respuesta :

Explanation:

Given that,

Electrostatic force, [tex]F=3.7\times 10^{-9}\ N[/tex]

Distance, [tex]r=5\ A=5\times 10^{-10}\ m[/tex]

(a) [tex]F=\dfrac{kq^2}{r^2}[/tex], q is the charge on the ion              

[tex]q=\sqrt{\dfrac{Fr^2}{k}}[/tex]

[tex]q=\sqrt{\dfrac{3.7\times 10^{-9}\times (5\times 10^{-10})^2}{9\times 10^9}}[/tex]      

[tex]q=3.2\times 10^{-19}\ C[/tex]

(b) Let n is the number of electrons are missing from each ion. It can be calculated as :

[tex]n=\dfrac{q}{e}[/tex]

[tex]n=\dfrac{3.2\times 10^{-19}}{1.6\times 10^{-19}}[/tex]

n = 2

Hence, this is the required solution.