Calculate the total volume of a simple cubic | vedclass

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(A) $1$. The packing efficiency of a simple cubic unit cell is $52.4\%$, meaning $52.4\%$ of the total volume is occupied by atoms.$2$. The void volum

Vedclass · Accepted Answer

$4.2 	imes 10^{-23}$

Vedclass · Answer

(A) $1$. The packing efficiency of a simple cubic unit cell is $52.4\%$, meaning $52.4\%$ of the total volume is occupied by atoms.$2$. The void volume (empty space) is $100\% - 52.4\% = 47.6\%$ of the total volume.$3$. Let the total volume be $V$. Given that $47.6\% 	ext{ of } V = 2.0 	imes 10^{-23} 	ext{ cm}^3$.$4$. $0.476 	imes V = 2.0 	imes 10^{-23} 	ext{ cm}^3$.$5$. $V = \frac{2.0 	imes 10^{-23}}{0.476} \approx 4.2 	imes 10^{-23} 	ext{ cm}^3$.

Calculate the total volume of a simple cubic unit cell in $\text{cm}^3$ if the void volume is $2.0 \times 10^{-23} \text{cm}^3$.

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