Home
Class 12
CHEMISTRY
The length of the unit cell edge of a bo...

The length of the unit cell edge of a body `-` centred cubic metal crystal is `352p m`. Calculate he radius of an atom of the metal .

Text Solution

Verified by Experts

The correct Answer is:
152.416 pm

For bcc crystal, `r = (sqrt3)/4 a`
`= (1.732 xx 352)/4 = 153.416 ` pm
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    MODERN PUBLICATION|Exercise CONCEPTUAL QUESTIONS 1|30 Videos
  • SOLID STATE

    MODERN PUBLICATION|Exercise CONCEPTUAL QUESTIONS 2|21 Videos
  • SOLID STATE

    MODERN PUBLICATION|Exercise UNIT PRACTICE TEST|13 Videos
  • POLYMERS

    MODERN PUBLICATION|Exercise Competition file (OBJECTIVE TYPE QUESTIONS) (C. MULTIPLE CHOICE QUESTIONS)(Integer Type Questions)|6 Videos
  • SOLUTIONS

    MODERN PUBLICATION|Exercise UNIT PRACTICE TEST|14 Videos

Similar Questions

Explore conceptually related problems

Iron crystallises in a body centred cubic structure. Calculate the radius of ioun atom if edge length of unit cell is 286 pm.

Chromium metal crystallizes with a body-centred cubic lattice. The length of the unit cell edge is found to be 287 pm. Calculate the atomic radius. What woulds be the density of chromium in g cm^(-3) ?

The edge length of a body - centred cubic unit cell is 390p m . If the radius of the cation is 150p m , what is the radius of the anion ?

The unit cell of nickel is a face-centred cube. The length of its side is 0.352 nm. Calculate the atomic radius of nickel .

The edge length of a face - centred cubic unit cell is 508p m . If the radius of the anion is 144p m , what is the radius of the cation ?

A metal crystallizes in a body-centred cubic lattice with the unit cell length 320 pm. The radius of the metal atom (in pm) will be

Lithium metal has a body centred cubic lattice structure with edge length of unit cell 352 pm. Calculate the density of lithium metal (Given : Atomic mass of Li = 7 g mol^(-1) )

MODERN PUBLICATION-SOLID STATE-PRACTICE PROBLEMS
  1. Gold crystallizes in the face centred cubic lattice. Calculate the app...

    Text Solution

    |

  2. Xenon crystallizes in the face-centred cubic lattice and the edge of t...

    Text Solution

    |

  3. The length of the unit cell edge of a body - centred cubic metal cryst...

    Text Solution

    |

  4. Calculate the atomic radius of elementary silver which crystallises in...

    Text Solution

    |

  5. A solid has a structure in which W atoms are located at the corners of...

    Text Solution

    |

  6. In CsCl with cubic structure, Cl^(-) ions are located at each corner a...

    Text Solution

    |

  7. Tungsten crystallizes in body centred cubic lattice. Calculate the num...

    Text Solution

    |

  8. Sodium crystallizes in a bcc unit cell. Calcuate the approximate numbe...

    Text Solution

    |

  9. An element crystallizes in face centred unit cell. What is the length ...

    Text Solution

    |

  10. In the fcc arrangement of A and B atoms whose A atoms are at corners o...

    Text Solution

    |

  11. The atomic radii of Cs^(+) and Cl^(-) ions are 1.69 Å and 1.81 Å respe...

    Text Solution

    |

  12. A solid AB has NaCl structure. If the radius of the cation A is 100 pm...

    Text Solution

    |

  13. If the radius of Br^(-) ion is 0.182 nn, how large can a cation be fit...

    Text Solution

    |

  14. A solid is made of two elements X and Y. Atoms X are in fcc arrangemen...

    Text Solution

    |

  15. A compound is formed by two elements X and Y. Atoms of the element Y (...

    Text Solution

    |

  16. A comound is formed by two elements M and N. The element N froms ccp a...

    Text Solution

    |

  17. In a crystalline solid, anions B are arranged in ccp structure. Cation...

    Text Solution

    |

  18. In solid, oxide ions are arranged in ccp. One sixth of the tetrahedral...

    Text Solution

    |

  19. In corrundum, oxid ions are arranged in h.c.p. array and the aluminum ...

    Text Solution

    |

  20. An element crystallizes in fec lattice with a cell edge of 300 pm. The...

    Text Solution

    |