MHT CET202522 Apr 2025Morning ShiftChemistrySolid StateActual
Calculate the volume occupied by all particles in fcc unit cell if volume of unit cell is 1.6 10⁻²³ ~cm ^3
Options
- A4.088 10⁻²³ ~cm ^3
- B2.156 10⁻²³ ~cm ^3
- C1.184 10⁻²³ ~cm ^3
- D3.226 10⁻²³ ~cm ^3
Correct answer
C. 1.184 10⁻²³ ~cm ^3
Step-by-step solution
The volume occupied by particles in an FCC lattice is determined by the packing efficiency, which for this structure is 0.74 . The relationship is given by V_ occupied = PE V_ unit cell = 0.74 (1.6 10⁻²³ , cm ^3) . Multiplying yields V_ occupied = 1.184 10⁻²³ , cm ^3 , which corresponds to option C .