Home
Class 12
CHEMISTRY
The arrangement of X^(ɵ) ions around A^(...

The arrangement of `X^(ɵ)` ions around `A^(o+)` ion in solid `AX` is given in the figure (not drawn to scale). If the radius of `X^(ɵ)` is `250 pm`, the radius of `A^(o+)` is

A

104 pm

B

125 pm

C

183 pm

D

57 pm

Text Solution

Verified by Experts

Using radius ratio for octahedral void (FCC)
`(r^(+))/(r^(-)) = 0.414 " " therefore " " r^(+) = 0.414 xx 250 = 104`
Promotional Banner

Topper's Solved these Questions

  • THE SOLID STATE

    VMC MODULES ENGLISH|Exercise FUNDAMENTAL|50 Videos
  • THE SOLID STATE

    VMC MODULES ENGLISH|Exercise ENABLE|50 Videos
  • THE SOLID STATE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive )|39 Videos
  • SURFACE CHEMISTRY

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE|9 Videos
  • THEORY OF SOLUTIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|31 Videos

Similar Questions

Explore conceptually related problems

The arrangement of X^(ɵ) ions around A^(o+) ion in solid AX is given in the figure (not drawn to scale). If the radius of X^(ɵ) is 180 pm , the radius of A^(o+) is

A solid XY has NaCl structure. If radius of X^(+) is 100 p m . What is the radius of Y^(-) ion ?

NH_(4) X1 crystallizes in bcc lattice with edge length 383 pm. If the radius of NH_(4)^(+) ion is 154 pm ,calculate the radius of halide (X^(-) ) .

An ionic solid A^(o+)B^(Θ) crystallizes as an fcc structure. If the edge length of cell is 508 pm and the radius of anion is 144 pm , the radius of cation is

A solid AB has ZnS-type structure. The edge lenth of unit cell is 400 pm abd the radius of 'B^-' ion is 0.130 nm. Then the radius of 'A^+' ion is

In the given figure, O is the centre of the circle with radius 14 cm. Find the area of the shared portion

Cesium chloride forms a body-centred cubic lattice. Cesiumm and chloride ions are in contact along the body diagoanl of a cell. The length of the side of the unit cell is 412 pm and Cl^(Θ) ion has a radius of 181 pm. Calculate the radius of Cs^(o+) ion.

Casium may be considered to form interpentrating simple primitice cubic crystal. The edge length of unit cell is 412 pm. Determine a. The density of CsCl . b. The inoic radius of Cs^(o+) if the ionic radius of Cl^(Θ) is 181 pm. Given: Aw (Cs) = 133 g mol^(-1)

The "OLIVINE" series of minerals consists of crystal in which Fe^(2+) and Mg^(2+) ions may substitute for each other causing susbstitutional impurity defects without changing the volume of unit cell. In "OLIVINE" series of minerals, O^(2-) ions exist as fcc with Si^(4+) occupying one-fourth of OVs and divalent metal ions occupying one-fourth of OVs and divalent metal ions occupying one-fourth of TVs . The density of "forsterite" (magnesium silicate) is 3.21 g cm^(-3) land that of "fayalite" (ferrous silicate) is 4.34 g cm^(-3) . If in "forsterite mineral" bivalent Mg^(2+) ions are to be replaced by unipositive Na^(o+) ions, and if Na^(o+) ions are occupying half of TV_(s) in fcc lattice, the arrangement of rest of the constituents is kept same, then the formula of the new solid is:

In an LiI crystal, I^(ɵ) ions from a cubical close-packed arrangement, a nd Li^(o+) ion occupy octahedral holes. What is the relationship between the edge length of the unit cells and radii of the I^(ɵ) ions if a = 60 "pm".

VMC MODULES ENGLISH-THE SOLID STATE-JEE Advance ( Archive )
  1. In a solid AB having the NaCl structure, A atom occupies the corners o...

    Text Solution

    |

  2. A substance A(x)B(y) crystallizes in a face-centred cubic lattice in ...

    Text Solution

    |

  3. You are given marbles of diameter 10mm. They are to be placed such tha...

    Text Solution

    |

  4. The crystal AB (rock salt structure) has molecular weight 6.023 y u, w...

    Text Solution

    |

  5. Which of the following fcc structure contain cations in alternate tetr...

    Text Solution

    |

  6. The edge length of unit cell of a metal having molecular weight 75 g m...

    Text Solution

    |

  7. An element crystallizes in fcc lattice having edge length 400 pm Calcu...

    Text Solution

    |

  8. Match the crystal system/unit cells mentioned in Column I with their c...

    Text Solution

    |

  9. In hexagonal system of crystals, a frequently encountered arrangement ...

    Text Solution

    |

  10. In hexagonal systems of crystals, a frequently encountered arrangement...

    Text Solution

    |

  11. In hexagonal systems of crystals, a frequently encountered arrangement...

    Text Solution

    |

  12. The corrent statement regarding defects is solids in solids is

    Text Solution

    |

  13. The packing efficiency of the two dimensional square unit cell shown b...

    Text Solution

    |

  14. A compound M(p)X(q) has cubic close packing (ccp) arrangement of X. It...

    Text Solution

    |

  15. The arrangement of X^(ɵ) ions around A^(o+) ion in solid AX is given i...

    Text Solution

    |

  16. If the unit cell of a mineral has cubic close packed (ccp) array of ox...

    Text Solution

    |

  17. Which of the following statements is(are) correct?

    Text Solution

    |

  18. The CORRECT statements (s) for cubic close packed (ccp) three dimensio...

    Text Solution

    |

  19. A crystalline solid of a pure substance has a face-centred cubic struc...

    Text Solution

    |

  20. Consider an ionic solid MX with NaCl structure. Construct a new struct...

    Text Solution

    |