A sphere has a net charge of
[tex]q=-4.8\times10^{-17}\text{ C}[/tex]We have to find the number of excess electrons on the sphere.
By using the quantization of the charge as follows.
[tex]q=ne[/tex]Here, n is the number of excess electrons in the sphere.
And e is the charge of the electron calculated as
[tex]e\text{ = 1.6}\times10^{-19}\text{ C}[/tex]Now, the number of the excess electron in the sphere.
[tex]\begin{gathered} n=\frac{q}{e} \\ n=\frac{-4.8\times10^{-17}\text{ C}}{1.6\times10^{-19}\text{ C}} \\ n=300 \end{gathered}[/tex]So, there are 300 excess electrons on the sphere.