You have used copper wires in your circuits. Let’s calculate the mobile electron density n for copper. A mole of copper has a mass of 64g (0.064kg), and one mobile electron is released by each atom in metallic copper. The density of copper is about 9g/cm3or(9×103kg/m3). Show that the number of mobile electrons per cubic meter in copper is 8.4×1028m-3.

Short Answer

Expert verified

It is proved thatn=8.4×1028m-3

Step by step solution

01

Given data

m=64g(0.064kg)ρ=9×103kg/m3

02

Formula used

n=ρNAm

Where,

n is mobile electron density

ρis density

NAAvogadro’s number =6.023×1023and

m is mass

03

Calculation for mobile electron density

n=ρNAm=9×1036.023×10230.064=8.4×1028m-3

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