AP EAMCET201726 Apr 2017Morning ShiftChemistrySolid StateActual
An element has a body centered cubic structure with a unit cell edge length of 400 pm . Atomic mass of an element is 24 ~g ~mol ⁻¹ . What is the density of the element? ( N _ A =6 10²³ ~mol ⁻¹ )
Options
- A2.50 ~g ~cm ⁻³
- B1.80 ~g ~cm ⁻³
- C3.60 ~g ~cm ⁻³
- D1.25 ~g ~cm ⁻³
Correct answer
D. 1.25 ~g ~cm ⁻³
Step-by-step solution
Given, Body centered cubic (bcc) Z=2 Edge length (a)=400 pm =400 10⁻¹⁰M( Atomic mass )=24 ~g ~mol ⁻¹ Density (d)= Z M a^3 N_A d= 2 24 (400 10⁻¹⁰ )^3 6.022 10²³ d=125 ~g ~cm ⁻³