MHT CET20249 May 2024Evening ShiftChemistrySolid StateActual
Calculate the volume of fcc unit cell if radius of a particle in it is 106.05 pm.
Options
- A7.4 10⁻²³ ~cm ^3
- B9.9 10⁻²³ ~cm ^3
- C2.7 10⁻²³ ~cm ^3
- D6.4 10⁻²³ ~cm ^3
Correct answer
C. 2.7 10⁻²³ ~cm ^3
Step-by-step solution
For fcc unit cell, a= 4 r 2 aligned a & = 4 106.05 2 = 424.2 1.41 & =300 pm =300 10⁻¹⁰ ~cm aligned Volume of the unit cell ( a ^3 )= (300 10⁻¹⁰ )^3=2.7 10⁻²³ ~cm ^3