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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Solid State

NTA Abhyas 2020 · Chemistry · Solid State

The radii of Na^ + and Cl^ - ions are 95pm and 181pm respectively....

The radii of Na+Na^{+} and Cl−Cl^{-} ions are 95pm\text{95}\text{pm} and 181pm\text{181}\text{pm} respectively. The edge length of NaClNaCl unit cell is

Options

  1. A276 pm\text{276 pm}
  2. B138 pm\text{138 pm}
  3. C552 pm\text{552 pm}
  4. D415 pm\text{415 pm}

Correct answer

C. 552 pm\text{552 pm}

Step-by-step solution

NaClNaCl has fcc structure.
In fcc lattice with ions in octahedral voids
r++r−=a2r^{+} \text{+}r^{−} \text{=}\dfrac{a}{2}
Where, a=\text{a}\text{=} edge length
r+=95pm,r−=181pmr^{+} \text{=}\text{95}\text{pm,}r^{−} \text{=}\text{181}\text{pm}
Edge length \text{=}{\text{2r}^{+} \text{+}{\text{2r}^{−}
=(2×95+2×181)pm= ( 2 \times 95 + 2 \times 181 ) \text{pm}
=190+362=552pm\text{=}\text{190}\text{+}\text{362}\text{=}\text{552}\text{pm}
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