NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Chemistry
- Chapter
- Solid State
NTA Abhyas 2020 · Chemistry · Solid State
The efficiency of packing in the case of a metal crystal for...
The efficiency of packing in the case of a metal crystal for face-centered cubic is
Correct answer
74
Step-by-step solution
In face centred cubic, packing efficiency
= \dfrac{4 \times \left(4 / 3\right)\pi r{}^{3} \times 100}{{\left(2\sqrt{2}r \right)}^{3}} = \dfrac{\left(16 / 3\right)\pi r{}^{3} \times 100}{16\sqrt{2}r{}^{3}} = 74\text{%}
= \dfrac{4 \times \left(4 / 3\right)\pi r{}^{3} \times 100}{{\left(2\sqrt{2}r \right)}^{3}} = \dfrac{\left(16 / 3\right)\pi r{}^{3} \times 100}{16\sqrt{2}r{}^{3}} = 74\text{%}