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## Homework Statement

If the Earth's surface was charged to Q

_{TOTAL}= 13548.3 [C] by removing all of the electrons from a volume of soil, how large would this volume be? Assume electron density of soil = 7e

^{23}[cm

^{-3}].

## Homework Equations

Volumetric charge density p

_{v}= Q

_{TOTAL}/volume of soil.

Electron density is = # of electrons per unit volume.

## The Attempt at a Solution

By rearranging the volumetric charge density formula, I can gather that Q

_{TOTAL}/ p

_{v}. Rearranging the second formula, I can get volume equal to #electrons/electron density. In a general sense, density is equal to mass/volume. I could solve for volume easily here, knowing the mass of an electron. But then, how is charge involved? How do I get the volume of soil, given the amount of charge that was removed from this volume?

Thank you for the help!