In an ionic compound `A^(+)X^(-)` , the radii of ` A^(+) and X^(-)` ions are 1.0 pm and 2.0 pm rspecitvely . The volume of the unit cell of the crystal AX will beA. `27 "pm"^(3)`B. ` 64 "pm"^(3)`C. ` 125 "pm"^(3)`D. ` 216 "pm"^(3)`

In an ionic compound `A^(+)X^(-)` , the radii of ` A^(+) and X^(-)` io

1.	In an ionic compound `A^(+)X^(-)` , the radii of ` A^(+) and X^(-)` ions are 1.0 pm and 2.0 pm rspecitvely . The volume of the unit cell of the crystal AX will beA. `27 "pm"^(3)`B. ` 64 "pm"^(3)`C. ` 125 "pm"^(3)`D. ` 216 "pm"^(3)`
Answer» Correct Answer - C ` (r_(A^+))/(r_(X^(-))) = 1/2 = 0.5 `,As it lies in the range that of NaCl. 0.414 - 0.732 , AX has octahedral structure like that of NaCl. Hence, edge length `= (a) =2 (r_(+) + r_(-))` = 2 (1 + 2) pm = 6 pm Volume of the unit cell = ` a^(3) = ( 6 "pm")^(3) = 216 "pm"^(3)`

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In an ionic compound `A^(+)X^(-)` , the radii of ` A^(+) and X^(-)` ions are 1.0 pm and 2.0 pm rspecitvely . The volume of the unit cell of the crystal AX will beA. `27 "pm"^(3)`B. ` 64 "pm"^(3)`C. ` 125 "pm"^(3)`D. ` 216 "pm"^(3)`

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