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(C) $1$. Identify the number of formula units per unit cell $(Z)$: The anions are at the $8$ corners, contributing $8 	imes \frac{1}{8} = 1$ anion. T

Vedclass · Accepted Answer

$7.0 	imes 10^{-23} 	ext{ cm}^3$

Vedclass · Answer

(C) $1$. Identify the number of formula units per unit cell $(Z)$: The anions are at the $8$ corners, contributing $8 	imes \frac{1}{8} = 1$ anion. The cation is at the body center, contributing $1$ cation. Thus, $Z = 1$.$2$. Use the density formula: $d = \frac{Z 	imes M}{N_A 	imes V}$, where $V$ is the volume of the unit cell.$3$. Rearrange to solve for $V$: $V = \frac{Z 	imes M}{d 	imes N_A}$.$4$. Substitute the values: $V = \frac{1 	imes 168.6 	ext{ g mol}^{-1}}{4 	ext{ g cm}^{-3} 	imes 6.022 	imes 10^{23} 	ext{ mol}^{-1}}$.$5$. Calculate: $V = \frac{168.6}{24.088 	imes 10^{23}} \approx 7.0 	imes 10^{-23} 	ext{ cm}^3$.

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