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AIIMS 2008
Exam
AIIMS
Year
2008
Subject
Chemistry
Chapter
Solid State

AIIMS 2008 · Chemistry · Solid State

A unit cell of sodium chloride has four formula units. The edge...

A unit cell of sodium chloride has four formula units. The edge length of the unit cell is (0.564 \mathrm{~nm}). What is the density of sodium chloride?

Options

  1. A(1.2 \mathrm{~g} / \mathrm{cm}^3)
  2. B(2.165 \mathrm{~g} / \mathrm{cm}^3)
  3. C(3.64 \mathrm{~g} / \mathrm{cm}^3)
  4. D(4.56 \mathrm{~g} / \mathrm{cm}^3)

Correct answer

B. (2.165 \mathrm{~g} / \mathrm{cm}^3)

Step-by-step solution

 Density =nMNA×a3=4×58.56.023×1023×(5.64×10−8)3=2.17 g/cm3\begin{aligned} & \text{ Density }=\frac{n M}{N_A \times a^3} \\ & =\frac{4 \times 58.5}{6.023 \times 10^{23} \times\left(5.64 \times 10^{-8}\right)^3}=2.17 \mathrm{~g} / \mathrm{cm}^3\end{aligned}
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