MHT CET202120 Sep 2021Morning ShiftChemistrySolid StateActual
What is molar mas of metal with BCC structure having density 10 ~g ~cm ⁻³ and edge length 200 pm ?
Options
- A90.2 ~g ~mol ⁻¹
- B21.1 ~g ~mol ⁻¹
- C48.0 ~g ~mol ⁻¹
- D60.5 ~g ~mol ⁻¹
Correct answer
B. 21.1 ~g ~mol ⁻¹
Step-by-step solution
BCC structure, Z =2 (Number of atoms in one unit cell) aligned & d = Z M N _ A a ^3 & a =200 pm =200 10⁻¹⁰ ~cm or 2 10⁻⁸ ~cm & 10= 2 M 6 10²³ (2 10⁻⁸ )^3 & 0= 2 M 6 10²³ 8 10⁻²⁴ & M = 10 6 10²³ 10⁻²⁴ 8 2 & =24 ~g / mol aligned