MHT CET202014 Oct 2020Evening ShiftChemistrySolid StateActual
An element crystallises in a fcc lattice with cell edge 250 pm . Calculate the density of an element (at.mass =90 3 )
Options
- A23 12 ~g ~cm ⁻³
- B19 20 ~g ~cm ⁻³
- C48 40 ~g ~cm ⁻³
- D38.40 ~g ~cm ⁻³
Correct answer
D. 38.40 ~g ~cm ⁻³
Step-by-step solution
a =250 pm =2.5 10⁻⁸ ~cm M =90.3 ~g ~mol ⁻¹, n =4( for fcc cell ) = n M a³ N_ A = 4 90.3 (2.5 10⁻⁸ )³ 6.022 10²³ =38.40 ~g ~cm ⁻³