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(C) The density of a unit cell is given by the formula: $\varrho = \frac{Z 	imes m}{a^3}$,where $Z$ is the number of particles per unit cell,$m$ is t

Vedclass · Accepted Answer

$4$

Vedclass · Answer

(C) The density of a unit cell is given by the formula: $\varrho = \frac{Z 	imes m}{a^3}$,where $Z$ is the number of particles per unit cell,$m$ is the mass of one particle,and $a^3$ is the volume of the unit cell.Rearranging the formula to solve for $Z$: $Z = \frac{\varrho 	imes a^3}{m}$.Given values: $\varrho 	imes a^3 = 3.2 	imes 10^{-22} \ g$ and $m = 8.0 	imes 10^{-23} \ g$.Substituting the values: $Z = \frac{3.2 	imes 10^{-22}}{8.0 	imes 10^{-23}} = \frac{32 	imes 10^{-23}}{8.0 	imes 10^{-23}} = 4$.Therefore,the number of particles per unit cell is $4$.

Calculate the number of particles present per unit cell if the mass of a particle is $8.0 \times 10^{-23} \ g$ and the product of density and volume of the unit cell $(\varrho \times a^3)$ is $3.2 \times 10^{-22} \ g$.

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