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QJEEM10Ch6d48: JEE Main 2010 Chemistry - Class 12 JEEM10Ch6d48 Solution: The edge length of a face centered cubic cell of an ionic…

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

Multiple Choice Options

  • A 288 pm
  • B 398 pm
  • C 618 pm
  • D 144 pm

Step-by-Step Verified Solution

For an Fcc crystal

rcation+ranion=edge  length2;{r_{cation}} + {r_{anion}} = {{edge\,\,length} \over 2};

                    110+ranion  =5082\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,110 + {r_{anion}}\,\, = {{508} \over 2}

ranion=254−110=144pm{r_{anion}} = 254 - 110 = 144pm

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