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If the volume occupied by a unit cell of NaCl is , the volume of a crystal of NaCl weighing 1.0 g isSolid State Chemistry Question

Question

If the volume occupied by a unit cell of NaCl is $4.7 \times 10^{-23} \text{ ml}$, the volume of a crystal of NaCl weighing 1.0 g is

Answer: D

💡 Solution & Explanation

Moles of NaCl in 1.0 g = $1 / 58.5$. Formula units = $(1/58.5) \times 6.022 \times 10^{23} \approx 1.03 \times 10^{22}$. Since 1 unit cell contains 4 formula units, number of unit cells = $1.03 \times 10^{22} / 4 = 2.57 \times 10^{21}$. Total volume = $2.57 \times 10^{21} \times 4.7 \times 10^{-23} \approx 0.12 \text{ ml}$. Therefore, correct answer is D.

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