# Problem: Imagine a unit of charge called the zorg. A chemist performs the oil drop experiment and measures the charge of each drop in zorgs.Based on the results listed here, what is the charge of the electron in zorgs (z)?Drop #Charge (z)A-4.5x10-9B-9.0x10-9C-6.0x10-9D﻿-12.0x10-9

###### FREE Expert Solution

Divide each charge with the smallest charge number:

$\mathbf{A}\mathbf{=}\frac{\overline{)\mathbf{-}}\mathbf{4}\mathbf{.}\mathbf{5}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{9}}}{\overline{)\mathbf{-}}\mathbf{4}\mathbf{.}\mathbf{5}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{9}}}\mathbf{=}\mathbf{1}$

$\mathbf{B}\mathbf{=}\frac{\overline{)\mathbf{-}}\mathbf{9}\mathbf{.}\mathbf{0}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{9}}}{\overline{)\mathbf{-}}\mathbf{4}\mathbf{.}\mathbf{5}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{9}}}\mathbf{=}\mathbf{2}$

$\mathbf{C}\mathbf{=}\frac{\overline{)\mathbf{-}}\mathbf{6}\mathbf{.}\mathbf{0}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{9}}}{\overline{)\mathbf{-}}\mathbf{4}\mathbf{.}\mathbf{5}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{9}}}\mathbf{=}\mathbf{1}\mathbf{.}\mathbf{33}$

$\mathbf{D}\mathbf{=}\frac{\overline{)\mathbf{-}}\mathbf{12}\mathbf{.}\mathbf{0}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{9}}}{\overline{)\mathbf{-}}\mathbf{4}\mathbf{.}\mathbf{5}\mathbf{×}{\mathbf{10}}^{\mathbf{-}\mathbf{9}}}\mathbf{=}\mathbf{2}\mathbf{.}\mathbf{66}$

Multiply each to get the whole number ratio for each:

A = 1 × 3 = 3

B = 2 × 3 = 6

C = 1.33 × 3 = 4

D = 2.66 × 3 = 8

Divide the charges with the ratios obtained

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###### Problem Details

Imagine a unit of charge called the zorg. A chemist performs the oil drop experiment and measures the charge of each drop in zorgs.

Based on the results listed here, what is the charge of the electron in zorgs (z)?

 Drop # Charge (z) A -4.5x10-9 B -9.0x10-9 C -6.0x10-9 D ﻿-12.0x10-9