BITSAT2014ChemistrySolid StateActual
An elemental crystal has a density of 8570 ~kg / m ³ . The packing efficiency is 0.68 . The closest distance of approach between neighbouring atom is 2.86 Ã… . What is the mass of one atom approximately?
Options
- A93 amu
- B39 amu
- C63 amu
- D29 amu
Correct answer
A. 93 amu
Step-by-step solution
The packing efficiency =0.68 , means the given lattice is BCC . The closest distance of approach =2 r array l 2 r=2.86 A=a 3 or a = 2 2.86 3 =3.30 Ã… array Let atomic weight of the element = a aligned & 2 9 36 10²³ (3.3)³ 10⁻²⁴ =8.57 a &=8.57 3 (3.3)³ 0.1 &=92.39 93 amu aligned