Answer:
[tex]2.41 \times 10^{13}\ free\ electrons/cm^3[/tex]
Explanation:
given,
free electron per atom = 5.6 x 10⁻¹⁰
density of silicon = 5.32 g/cm³
molar mass of silicon = 72.59 g/mol
number of moles per cubic centimeter
= [tex]\dfrac{5.32}{72.59}\ mole/cm^3[/tex]
number of atom per cubic centimeter
= [tex]\dfrac{5.32}{72.59}\times 6.022 \times 10^{23}\ /cm^3[/tex]
number of free electron per cubic centimeter
= [tex]\dfrac{5.32}{72.59}\times 6.022 \times 10^{23}\times 5.6 \times 10^{-10}/cm^3[/tex]
= [tex]2.41 \times 10^{13}\ free\ electrons/cm^3[/tex]
