r _ Na^ + = 195pm and r _ Cl^ - = 281pm in NaCl (rock salt) structure. What is the shortest distance between Na^ + ions?

Correct answer: B. 673.06 pm The shortest distance between two Na^ + ion = (1)/(2)face - diagonal = (1)/(2) × 2 \ 2( r _ Na^ + + r _ cr )\ = 2 ( 195 + 281 ) pm = 673.06pm

NTA Abhyas 2020

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

NTA Abhyas 2020 · Chemistry · Solid State

r _ Na^ + = 195pm and r _ Cl^ - = 281pm in NaCl (rock salt)...

{r}_{Na^{+}} = 195pm

and

{r}_{Cl^{-}} = 281pm

NaCl

(rock salt) structure. What is the shortest distance between

Na^{+}

ions?

Options

A $778.3$ pm
B $673.06$ pm
C $195.7$ pm
D $390.3$ pm

Correct answer

B. $673.06$ pm

Step-by-step solution

The shortest distance between two

Na^{+}ion = \dfrac{1}{2}face - diagonal

= \dfrac{1}{2} \times \sqrt{2}

\left\{2\left({r}_{Na^{+}} + {r}_{cr}\right)\right\}

<br/><br/>

= \sqrt{2} ( 195 + 281 ) pm = 673.06pm

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