Question
A metal crystallizes in a bcc unit cell having unit cell volume 2.5 10^ -23 \ cm ^3. Find the number of unit cells in 18 g metal if the density of metal is 7.2\ g cm ^ -3 .
MHT CET
Chemistry
Solid State
2026
MHT CET 2026 (20 April Shift 2)
MHT CET Chemistry Question (2026) — Solution
Options
- A. 1.0 10^ 23
- B. 2.0 10^ 23
- C. 0.5 10^ 23
- D. 1.5 10^ 23
Answer
A. 1.0 10^ 23
Step-by-step solution
Total volume of the metal is given by the ratio of mass to density. V_ total = Mass Density = 18 7.2 = 2.5\ cm ^3 The number of unit cells is the total volume divided by the volume of one unit cell. Number of unit cells = V_ total V_ unit cell = 2.5 2.5 10^ -23 = 1.0 10^ 23 Answer: 1.0 10^ 23
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