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

NTA Abhyas 2020 · Chemistry · Solid State

The edge length of sodium chloride unit cell is 564 pm. If the size...

The edge length of sodium chloride unit cell is 564 pm. If the size of Cl−Cl^{-} ion is 181 pm. The size of Na+Na^{+} ion will be

Options

  1. A101 pm
  2. B181 pm
  3. C410 pm
  4. D202 pm

Correct answer

A. 101 pm

Step-by-step solution

2(r++r−)=a2\left({r}_{+} + {r}_{-}\right) = a
2(rNa+rCl−)=5642\left({r}_{Na} + {r}_{Cl^{-}}\right) = 564 pm
{r}_{{\text{Na}^{+}} = \dfrac{564}{2} - 181 = 101\text{pm}
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