Problem: A sodium ion, Na+, with a charge of 1.6 x 10–19 C and a chloride ion, Cl–, with charge of -1.6 x 10–19, are separated by a distance of 5.3 nm. How much work would be required to increase the separation of the two ions to an infinite distance?

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FREE Expert Solution

$\boxed{\mathbf{F}\mathbf{=}\frac{{\mathbf{kq}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{{\mathbf{d}}^{\mathbf{2}}}}$

$$\begin{gathered} \mathbf{W}\mathbf{=}\mathbf{F}\mathbf{\times }\mathbf{d}\mathbf{=}\mathbf{F}\mathbf{=}\left(\frac{{\mathrm{kq}}_1{q}_2}{d^{\cancel{2}}}\right)\cancel{\left(d\right)} \\ \boxed{\mathbf{W}\mathbf{=}\mathbf{\left(}\frac{{\mathbf{kq}}_{\mathbf{1}}{\mathbf{q}}_{\mathbf{2}}}{\mathbf{d}}\mathbf{\right)}} \end{gathered}$$