If the volume occupied by a unit cell of is 4.7 × 10^-23 ml, the volume of a crystal of weighing 1.0 — Solid State Chemistry Question
Question
If the volume occupied by a unit cell of $NaCl$ is 4.7 × 10^-23 ml, the volume of a crystal of $NaCl$ weighing 1.0 g is
Answer: D
💡 Solution & Explanation
For $NaCl$, Z = 4. Mass of one unit cell = (4 × 58.5) / 6.022 × 10^23 = 3.886 × 10^-22 g. Volume of one unit cell = 4.7 × 10^-23 ml. Density = Mass / Volume = 3.886 × 10^-22 g / 4.7 × 10^-23 ml = 8.27 g/ml. Volume of 1.0 g of $NaCl$ crystal = Mass / Density = 1.0 g / 8.27 g/ml = 0.12 ml.
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