NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Chemistry
- Chapter
- Solid State
NTA Abhyas 2020 · Chemistry · Solid State
Calculate the percentage of packing efficiency in simple cubic unit...
Calculate the percentage of packing efficiency in simple cubic unit cell.
Correct answer
52.40
Step-by-step solution
In simple cubic, packing efficiency
\text{=}\dfrac{\dfrac{\text{4}}{\text{3}} {\text{\pi r}}^{\text{3}}}{{\text{8r}}^{\text{3}}} \text{\times}\text{100}\text{=}\dfrac{\text{\pi}}{\text{6}} \text{\times}\text{100}\text{=}\text{52}\text{.4%}
where, r = radius of one sphere or atom.
\text{=}\dfrac{\dfrac{\text{4}}{\text{3}} {\text{\pi r}}^{\text{3}}}{{\text{8r}}^{\text{3}}} \text{\times}\text{100}\text{=}\dfrac{\text{\pi}}{\text{6}} \text{\times}\text{100}\text{=}\text{52}\text{.4%}
where, r = radius of one sphere or atom.