Q44 / 150 · MHT CET 2022 (10 Aug Shift 2) · Chemistry

Calculate the density of metal having volume of unit cell $64 \times 10^{-24} \mathrm{~cm}^3$ and molar mass of metal $192 \mathrm{~g} \mathrm{~mol}^{-1}$ containing 4 particles in unit cell.

  • A
    $16.00 \mathrm{~g} \mathrm{~cm}^{-3}$
  • Correct answer
    B
    $19.93 \mathrm{~g} \mathrm{~cm}^{-3}$
  • C
    $14.92 \mathrm{~g} \mathrm{~cm}^{-3}$
  • D
    $18.00 \mathrm{~g} \mathrm{~cm}^{-3}$

Solution

$\begin{aligned} & \mathrm{d}=\frac{4 \times 192}{64 \times 10^{-24} \times 602 \times 10^{23}} \\ & =19.93 \mathrm{~g} \mathrm{~cm}^{-3}\end{aligned}$

Hence, the correct answer is option: 'B'.

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