Calculate the number of unit cells in 1 cm^3 | vedclass

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Question

(A) The volume of one unit cell is given by $V_{cell} = a^3$,where $a$ is the edge length of the unit cell. Given $a = 4.0 	imes 10^{-8} \ cm$,so $V_

Vedclass · Accepted Answer

$1.56 	imes 10^{22}$

Vedclass · Answer

(A) The volume of one unit cell is given by $V_{cell} = a^3$,where $a$ is the edge length of the unit cell. Given $a = 4.0 	imes 10^{-8} \ cm$,so $V_{cell} = (4.0 	imes 10^{-8} \ cm)^3 = 64 	imes 10^{-24} \ cm^3 = 6.4 	imes 10^{-23} \ cm^3$. The number of unit cells in $1 \ cm^3$ volume is calculated as: $	ext{Number of unit cells} = \frac{	ext{Total Volume}}{	ext{Volume of one unit cell}} = \frac{1 \ cm^3}{6.4 	imes 10^{-23} \ cm^3} = 0.15625 	imes 10^{23} = 1.5625 	imes 10^{22}$. Thus,the correct option is $A$.

Calculate the number of unit cells in $1 \ cm^3$ volume of an element if unit cell edge length is $4.0 \times 10^{-8} \ cm$.

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