Get Answers to all your Questions

header-bg qa

The edge length of a face centred cubic cell of an ionic substance is 508 pm . If the radius of the cation is 110 pm , the radius of the anion is :

  • Option 1)

    144 pm

  • Option 2)

    288 pm

  • Option 3)

    398 pm

  • Option 4)

    618 pm

 

Answers (1)

As learnt in

Centered unit cell -

In centered unit cell, constituent particles are present in position other than corners in addition to corners.

- wherein

Three types: face centered, body centered, end centered.

 

 For fcc unit cell, 2 (radius of cation+ radius of anion) = edge length 

Therefore (110+ra) = (110+r_{a})=\frac{508}{2}\Rightarrow r_{a}=254-110= 144pm

 


Option 1)

144 pm

Correct option

Option 2)

288 pm

Incorrect option

Option 3)

398 pm

Incorrect option

Option 4)

618 pm

Incorrect option

Posted by

Vakul

View full answer