Home
Class 12
CHEMISTRY
An element assumes a cubical structure i...

An element assumes a cubical structure in which only `32%` of the space is empty. If the density of the element is `7.2 g//cm^(3)`, the number of atoms present in 100 g of that element is `x xx 10^(24)` where 'x' is
`["volume of the unit cell is "2.39 xx 10^(-23)" cc"]`

Text Solution

Verified by Experts

The correct Answer is:
1

BCC packing efficiency `=68%`
`d=(Zm)/(a^(3)N)rArr 7.2 =(2xxm)/(2.39xx10^(-23)xx6xx10^(23)),M=51.624gm`
`51.624gm rarr6xx10^(23),100gm rarr?1.16xx10^(24)`
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    AAKASH SERIES|Exercise PRACTICE SHEET - 3|30 Videos
  • SOLID STATE

    AAKASH SERIES|Exercise PRACTICE SHEET - 4|30 Videos
  • SOLID STATE

    AAKASH SERIES|Exercise PRACTICE SHEET - 1|30 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise COMPLEX COMPOUNDS|47 Videos
  • SOLIDS STATE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|63 Videos

Similar Questions

Explore conceptually related problems

An element forms a body centered cubic (bcc) lattice with edge length of 300 pm. If the density of the element is 7.2 g cm^(-3) , the number of atoms present in 324 g of it approximately is

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

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?

An element crystallises in a structure having a f.c.c unit cell of an edge 200 pm. Calculate the density of element, if 20 gm the element contains 2.4 xx 10^(23) atoms.

A metallic element exists in simple cubic structure. Each edge length of the unit cell is 3A^(0) . The density of metal is 10 gm cm. How many unit cells will be there in 16.2 gm of the metal?

An element has a body centered cubic structure with a unit cell edge length of 400 pm. Atomic mass of an element is 24 gmol^(-1) What is the density of the element? (N_A = 6 times 10^23 mol^-1)

Ferrous oxide has a cubic structure and eged length of the unit cell is 5.0 A. Assuming the density of ferrous oxide to be 3.84g//cm^(3) the no. of Fe^(2+) and O^(-2) ions present in each unit cell are ("use "N_(A) = 6 xx 10^(23))

A crystalline solid substance has a density of 10 g//cm^(3) and the length of the edge of the unit cell (FCC) is 2.0A^(0) . How many number of atoms are present in 200 grams of the solid?

The density of Cr atoms is 7.2 g/cm. If the unit cell has edge length 289 pm. Calculate the number of chromium atoms per unit cell (at mass of Cr = 52)

3.011 xx 10^(22) atoms of an element weighs 1.15 g. The atomic mass of the element is

AAKASH SERIES-SOLID STATE-PRACTICE SHEET - 2
  1. How many unit cell are present in 4.0 gm of crystal AB (formula mass o...

    Text Solution

    |

  2. Which of the following statement(s) is (are) correct for CaF(2),

    Text Solution

    |

  3. Which of the following informations are correct about CsCl?

    Text Solution

    |

  4. Select the correct statements

    Text Solution

    |

  5. Which of the follwing expression is correct for packing fraction of Na...

    Text Solution

    |

  6. Ferrous oxide has a cubic structure and eged length of the unit cell i...

    Text Solution

    |

  7. Cdo has NaCl structure with density 8.27 g/cc. If the ionic radius of ...

    Text Solution

    |

  8. O^(-2): "CCP" B^(3+) : "Half of octahedral Voids" A^(2+) : 1//8^("...

    Text Solution

    |

  9. O^(-2): "CCP" B^(3+) : "Half of octahedral Voids" A^(2+) : 1//8^("...

    Text Solution

    |

  10. O^(-2): "CCP" B^(3+) : "Half of octahedral Voids" A^(2+) : 1//8^("...

    Text Solution

    |

  11. Density of a unit cell is represented as rho=("Effectiveno.ofatom(s)...

    Text Solution

    |

  12. Density of a unit cell is represented as rho=("Effectiveno.ofatom(s)...

    Text Solution

    |

  13. {:("COLUMN - I","COLUMN - II"),(,"(A - cation) (B - anion)"),("A Rock ...

    Text Solution

    |

  14. {:("COLUMN - I","COLUMN - II"),("A) Co - ordination no. of "Sr^(2+) an...

    Text Solution

    |

  15. An element assumes a cubical structure in which only 32% of the space ...

    Text Solution

    |

  16. "Molar mass of solid = 259.8 g mol"(-1) A solid crystallises in hexa...

    Text Solution

    |

  17. A cubic solid is made up of two elements P and Q. Atoms of Q are prese...

    Text Solution

    |

  18. The face diagonal length of fcc cubic cell of NaCl type ionic crystal ...

    Text Solution

    |

  19. In case of diamond that follows ZnS structure, the number of carbon at...

    Text Solution

    |

  20. In KBr crystal structure, the number of second nearest neighbour of K^...

    Text Solution

    |