KCET2021ChemistrySolid State
A metal crystallises in bcc lattice with unit cell edge length of 300 pm and density 6.15 gcm ⁻³ . The molar mass of the metal is
Options
- A50 gmol ⁻¹
- B60 gmol ⁻¹
- C40 gmol ⁻¹
- D70 gmol ⁻¹
Correct answer
A. 50 gmol ⁻¹
Step-by-step solution
Given, metal crystallises in bcc lattice, therefore Z=2 aligned Edge length &=300 pm &=300 10⁻¹⁰ ~cm aligned Density, aligned d &= Z M a³ N_ A M= d a³ N_ A Z &= 6.15 (300 10⁻¹⁰ )³ 6 10²³ 2 &-498150000 10⁻⁷ &=49.82 ~g ~mol ⁻¹ & 50 ~g ~mol ⁻¹ aligned