Question
When silver crystallizes, it forms face centered cubic cells, if the volume of unit cells 6.84 10^ -23 \ cm ^3. Calculate the density of silver. (Molar mass of silver is 108 g/mol, N_A = 6.022 10^ 23 )
MHT CET
Chemistry
Solid State
2026
MHT CET 2026 (16 April Shift 2)
MHT CET Chemistry Question (2026) — Solution
Options
- A. 12.49\ gm cm ^ -3
- B. 10.49\ gm cm ^ -3
- C. 16.89\ gm cm ^ -3
- D. 20.49\ gm cm ^ -3
Answer
B. 10.49\ gm cm ^ -3
Step-by-step solution
For a face-centered cubic (fcc) unit cell, the number of atoms per unit cell is Z = 4. The density of the unit cell is given by the formula: d = Z M N_A V Substituting the given values: d = 4 108 6.022 10^ 23 6.84 10^ -23 d = 432 41.19 d = 10.49\ gm cm ^ -3 Answer: 10.49\ gm cm ^ -3
Related: Chemistry — Solid State · All PYQ Banks