Find the volume occupied by a particle in a s | vedclass

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Question

(D) The volume $V$ of a spherical particle is given by the formula $V = \frac{4}{3} \pi r^3$.Given radius $r = 190 	ext{ pm} = 190 	imes 10^{-10}

Vedclass · Accepted Answer

$2.873 	imes 10^{-23} 	ext{ cm}^3$

Vedclass · Answer

(D) The volume $V$ of a spherical particle is given by the formula $V = \frac{4}{3} \pi r^3$.Given radius $r = 190 	ext{ pm} = 190 	imes 10^{-10} 	ext{ cm} = 1.9 	imes 10^{-8} 	ext{ cm}$.Substituting the value of $r$ into the formula:$V = \frac{4}{3} 	imes 3.14159 	imes (1.9 	imes 10^{-8} 	ext{ cm})^3$.$V = \frac{4}{3} 	imes 3.14159 	imes 6.859 	imes 10^{-24} 	ext{ cm}^3$.$V = 4.18879 	imes 6.859 	imes 10^{-24} 	ext{ cm}^3$.$V \approx 28.73 	imes 10^{-24} 	ext{ cm}^3 = 2.873 	imes 10^{-23} 	ext{ cm}^3$.

Find the volume occupied by a particle in a simple cubic unit cell if the radius of a particle in it is $190 \text{ pm}$.

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