Solveeit Logo

Question

Question: The edge length of sodium chloride unit cell is 546 pm. If the size of \(Cl^{-}\)ion is 181 pm. The ...

The edge length of sodium chloride unit cell is 546 pm. If the size of ClCl^{-}ion is 181 pm. The size of Na+Na^{+}ion will be

A

101 pm

B

181 pm

C

410 pm

D

202 pm

Answer

101 pm

Explanation

Solution

2(r++r)=a2(r_{+} + r_{-}) = a

2(rNa+rCl)=564pm2(r_{Na} + r_{Cl^{-}}) = 564pm

rNa+=5642181=101pmr_{Na +} = \frac{564}{2} - 181 = 101pm