Home
Class 12
CHEMISTRY
The body centered cubic cell of chronium...

The body centered cubic cell of chronium has an edge lenth of 0.288nm. Calculte the density of chromium `(g//cm^(3))` : `("Atomic mass": Cr=52.0)`

Text Solution

Verified by Experts

Z(b.c.c. lattice) = 2, a = 288.4 pm
`=2.884xx10^(-8)"cm"`
`d=7.2"g cm"^(-3),M=52"g mol"^(-1)`
`N_(A)=?`
`N_(A)=(ZxxM)/(a^(3)xxd)`
`=(2xx52"g mol"^(-1))/((2.884xx10^(-8))^(3)"cm"^(3)xx7xx2"g cm"^(-3))`
`=(104xx10^(+24)"mol"^(-1))/(23.99xx7.2)=1040/(23.99xx7.2)xx10^(23)"mol"^(-1)`
`=6.021xx10^(23)"mol"^(-1)`
Promotional Banner

Topper's Solved these Questions

  • THE SOLID STATE

    BETTER CHOICE PUBLICATION|Exercise Numerical Problems|66 Videos

  • THE P-BLOCK ELEMENTS

    BETTER CHOICE PUBLICATION|Exercise QUESTION BANK|205 Videos

Similar Questions

Explore conceptually related problems

The face centered cubic cell of platinum ha an edge length of 0.392nm. Calculate the density of platinum (g//cm^(3)) : ("Atomic mass": Pt=195)

A face centered cubic element (atomic mass =60) has edge length of 400pm. What is the density of unit cell

Crystalline CsBr has a body centred cubic structure. Calculate the unit cell edge length if the density of CsBr crystal is 4.24 g cm^-3 . (atomic masses: cs=133, Br=80).

The elements crystallizes in a body centered cubic lattice and the edge of the unit cell is 0.351nm. The density is 0.533g//cm^(3) . What is the atomic mas?

An element crystallising in body centred cubic lattice has an edge length of 500 pm. If its density is 4gcm^-3 , the atomic mass of the element is

An element has a body-centred cubic (bbc) structure with a cell edge of 288 pm. The density of the element is 7.2g/cm^3 . How many atoms are present in 208 g of the element?

An elements crystallizes in a face centered cubic lattice and the edge of the unit cell is 0.559nm. The density is 3.19g//cm^(3) . What is the atomic mass?

The density of chromium metal is 7.2 g "cm"^(-3) . If the unit cell has edge length of 289 pm, determine the type of unit cell. Also calculate the radius of an atom of chromium. (Atomic mass of chromium = 52 a.m.u.)

A metal crystallizes in a face centred cubic unit cell with a=0.560nm. Calculate the density of the metal if contains 0.1% Schottky defects. (Atomic mass of metal = 40 g mol^-1 ).

The density of argon (face centered cubic cell) is 1.83g//cm^(3) at 20^(@)C . What is the length of an edge a unit cell? ("Atomic mass": Ar=40)

BETTER CHOICE PUBLICATION-THE SOLID STATE-Numerical Problems
  1. An element has density 6xx8"g cm"^(-3) occurs in bcc structure with ce...

    Text Solution

    |

  2. An element has a body-centred cubic (bbc) structure with a cell edge o...

    Text Solution

    |

  3. The body centered cubic cell of chronium has an edge lenth of 0.288nm....

    Text Solution

    |

  4. Calculate the value of Avogadro's number from the following data Densi...

    Text Solution

    |

  5. Calculate the Avogadro number from the following data of AB, when AB h...

    Text Solution

    |

  6. An element having bcc geometry has atomic mass 50. Calculate the densi...

    Text Solution

    |

  7. An element crystallizes in a structure having fcc unit cell of edge 30...

    Text Solution

    |

  8. An element crystallizes in a structure having fcc unit cell of edge 30...

    Text Solution

    |

  9. An element crystallizes in a structure having fcc unit cell of edge 30...

    Text Solution

    |

  10. A compound is formed by two elements in M and N. The element N forms c...

    Text Solution

    |

  11. A cubic solid made up of two elements A and B. Atoms A are present at ...

    Text Solution

    |

  12. Copper crystallizes in a face centred cubic lattice. Calculate the num...

    Text Solution

    |

  13. A face centered cubic element (atomic mass =60) has edge length of 400...

    Text Solution

    |

  14. The density of KBr is 2.75"gm cm"^(-3). The edge length of unit cell i...

    Text Solution

    |

  15. The density of chromium metal is 7.2"g cm"^(-3). If the unit cell is c...

    Text Solution

    |

  16. An element having bcc geometry has atomic mass 50u. Calculate the dens...

    Text Solution

    |

  17. An element (at mass 60) havind FCC structure has a density of 6.23"g c...

    Text Solution

    |

  18. The compound CuCl has ZnS structure and the edge length of its unti ce...

    Text Solution

    |

  19. An element having a density 11.2"g cm"^(-3) forms a fcc lattice with e...

    Text Solution

    |

  20. An element having bcc geometry has atomic mass 50. Calculate the densi...

    Text Solution

    |