Question
Calculate the number of unit cells in 1 cm ^3 of metal if it forms simple cubic structure with unit cell edge length 500 pm.
MHT CET
Chemistry
Solid State
2026
MHT CET 2026 (17 April Shift 1)
MHT CET Chemistry Question (2026) — Solution
Options
- A. 4.0 10^ 21
- B. 2.0 10^ 21
- C. 8.0 10^ 21
- D. 3.0 10^ 21
Answer
C. 8.0 10^ 21
Step-by-step solution
Edge length of the unit cell, a = 500 pm = 500 10^ -12 m = 5 10^ -8 cm Volume of one unit cell, V = a^3 = (5 10^ -8 )^3 cm ^3 = 125 10^ -24 cm ^3 Number of unit cells in 1 cm ^3 = Total volume Volume of one unit cell Number of unit cells = 1 125 10^ -24 = 1000 10^ 21 125 = 8.0 10^ 21 Answer: 8.0 10^ 21
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