Question
Calculate the number of unit cells present in 1 g metal if the product of the density of metal and the volume of unit cell is 2.5 10^ -22 g.
MHT CET
Chemistry
Solid State
2026
MHT CET 2026 (15 April Shift 1)
MHT CET Chemistry Question (2026) — Solution
Options
- A. 1.0 10^ 21
- B. 2.0 10^ 21
- C. 3.0 10^ 21
- D. 4.0 10^ 21
Answer
D. 4.0 10^ 21
Step-by-step solution
Density of the metal is given by d = Mass of one unit cell Volume of unit cell . Mass of one unit cell = d V = 2.5 10^ -22 g. Number of unit cells in 1 g of metal = Total mass Mass of one unit cell . Number of unit cells = 1 2.5 10^ -22 = 4.0 10^ 21 . Answer: 4.0 10^ 21
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