NTA Abhyas 2020
- Exam
- NTA Abhyas
- Year
- 2020
- Subject
- Chemistry
- Chapter
- Solid State
NTA Abhyas 2020 · Chemistry · Solid State
Calculate the number of unit cells present in a cube-shaped ideal...
Calculate the number of unit cells present in a cube-shaped ideal crystal of of mass [Atomic masses:
Options
- A\text{2.57} \times \text{1}{\text{0}^{\text{21}} unit cells
- B\text{5.14} \times \text{1}{\text{0}^{\text{21}} unit cells
- C\text{1.28} \times \text{1}{\text{0}^{\text{21}} unit cells
- D\text{1.71} \times \text{1}{\text{0}^{\text{21}} unit cells
Correct answer
A. \text{2.57} \times \text{1}{\text{0}^{\text{21}} unit cells
Step-by-step solution
Number of NaCl unit in one gram = \dfrac{1}{\text{58.5}} \times \text{6.023} \times \text{1}{\text{0}^{\text{23}} = \text{1.029} \times \text{1}{\text{0}^{\text{22}}
A unit cell contains ion and ions
Unit cell = \dfrac{\text{1.029} \times \text{1}{\text{0}^{\text{22}}}{4} = \text{2.57} \times \text{1}{\text{0}^{\text{21}} unit cell
A unit cell contains ion and ions
Unit cell = \dfrac{\text{1.029} \times \text{1}{\text{0}^{\text{22}}}{4} = \text{2.57} \times \text{1}{\text{0}^{\text{21}} unit cell