ExamBro
ExamBro
MHT CET · Chemistry · Solid State

Calculate the number of unit cells in 0.9 g metal if it forms bcc structure. \(\left[\rho \times \mathrm{a}^3=3 \times 10^{-22}\right.\) gram\(]\)

  1. A \(1.0 \times 10^{21}\)
  2. B \(2.0 \times 10^{21}\)
  3. C \(3.0 \times 10^{21}\)
  4. D \(4.0 \times 10^{21}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(3.0 \times 10^{21}\)

Step-by-step Solution

Detailed explanation

Number of unit cells in 0.9 g metal \(=\frac{0.9}{\rho \times \mathrm{a}^3}\)
\(\begin{aligned}
& =\frac{0.9 \mathrm{~g}}{3 \times 10^{-22} \mathrm{~g}} \\
& =3 \times 10^{21}
\end{aligned}\)