Home
Class 12
CHEMISTRY
A metal crystallizes with a face-centred...

A metal crystallizes with a face-centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is

A

288 pm

B

408pm

C

144pm

D

204pm

Text Solution

Verified by Experts

The correct Answer is:
A
For fcc lattice, radius ( r ) is related to edge length ( a)
`r = ( a)/( 2 sqrt( 2)), a = 408` pm
` r = ( 408)/( 2 xx 1.414 ) = 144` pm
Diameter `= 2 xx 144 = 288`pm
Promotional Banner

Topper's Solved these Questions

  • THE SOLID STATE

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL -III )|10 Videos

  • THE SOLID STATE

    MODERN PUBLICATION|Exercise RECENT EXAMINATION QUESTIONS|11 Videos

  • THE SOLID STATE

    MODERN PUBLICATION|Exercise RECENT EXAMINATION QUESTIONS|11 Videos

  • SURFACE CHEMISTRY

    MODERN PUBLICATION|Exercise RECENT EXAMINATION QUESTIONS|15 Videos

  • THERMODYNAMICS

    MODERN PUBLICATION|Exercise Recent Examination Question|15 Videos

Similar Questions

Explore conceptually related problems

A metal crystallises with a face-centred cubic lattice. The adge of the unit cell is 408 pm. The diameter of the metal atom is :

Xenon crystallizes in the face-centred cubic lattice and the edge of the unit cell is 620 pm. What is the nearest neighbour distance and what is the redius of xenon atom?

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) ?

A metal crystallized in fcc lattcie and edge of the unit cell is 620 pm. The radius of metal atom is

Silver metal crystallises with a face centred cubic lattice. The length of unit cell is formed to be 4.077 xx 10^(-8) cm. Calculate atomic radius and density of silver. (Atomic mass of Ag = 108 u, N_(A) = 6.023 xx 10^(23) mol^(-1) ).

A metallic element exists as a cubic lattice. Each edge of the unit cell is 2.88 Å . The density of the metal is 7.20 g cm^(-3) . How many unit cells there will be in 100g of the metal?

b) An element crystallizes in a foc lattice. The edge length of the unit cell is 400 pm. Calculate the density of the unit cell. ("molar mass"="60 g mol"^(-1)) ("Avogadro number"=6.02 xx 10^(23))

Tungsten crystallizes in body centred cubic unit cell. If the edge of the unit cell is 316.5 pm, what is the radius of Tungsten atom ?

Silver crystallises with face-centred cubic unit cells. Each side of the unit cell has a length of 409 pm. Calculate the radius of silver atom. (Assume the atoms just touch each other on the diagonal across the face of the unit cell. That is each face atom is touching the four corner atoms.)

MODERN PUBLICATION-THE SOLID STATE -MULTIPLE CHOICE QUESTIONS (LEVEL -II )
  1. In a face centred cubic unit cell of close packed atoms, the radius of...

    Text Solution

    |

  2. The most unsymmetrical and symmetrical systems are respectively.

    Text Solution

    |

  3. The number of tetrahedral and octahedral holes in a hexagonal primitiv...

    Text Solution

    |

  4. Gold crystallizes in a face centred unit cell. Its edge length is 0.41...

    Text Solution

    |

  5. A metal X ( at. Mass = 60) has a body centred cubic crystal structure...

    Text Solution

    |

  6. The empty space in hcp unit cell is

    Text Solution

    |

  7. The number of tetrahedral voids in the unit cell of a face centred cub...

    Text Solution

    |

  8. Total volume of atoms present in face centred cubic unit cell of metal...

    Text Solution

    |

  9. If 'a' stands for the edge length of the cubic system : simple cubic ,...

    Text Solution

    |

  10. If three interaxial angles defining the unit cell are all equal in mag...

    Text Solution

    |

  11. Total number of tetrahedral and octahedral voids in 0.5 mol of a compo...

    Text Solution

    |

  12. Sodium chloride, NaCl usually crystallizes in a face centred cubic lat...

    Text Solution

    |

  13. Which one of the following compound exhibits both Schottky and Frenkel...

    Text Solution

    |

  14. Percentage of free space in cubic close packed structure and in body c...

    Text Solution

    |

  15. AB crystallizes in a body centred cubic lattice with edge length 'a' e...

    Text Solution

    |

  16. A metal crystallises into a lattice containing a sequence of layers of...

    Text Solution

    |

  17. A metal crystallizes with a face-centred cubic lattice. The edge of th...

    Text Solution

    |

  18. A mineral having the formula AB(2) crystallizes in the ccp lattice, wi...

    Text Solution

    |

  19. Which of the following statement is not true about the hexagonal close...

    Text Solution

    |

  20. Which of the following statements is not true ?

    Text Solution

    |