Home
Class 12
CHEMISTRY
Titanium metal has a density of 4.54 "g ...

Titanium metal has a density of `4.54 "g cm"^(-3)` and an edge length of 412.6 pm. In what cubic unit cell does titanium crystallise ?

Text Solution

Verified by Experts

The correct Answer is:
fcc unit cell
Density `(rho)=(ZxxM)/(a^(3)xxN_(0)xx10^(-30))`
Density of unit cell `(rho) = 4.54"g mol"^(-3) or Z=(rhoxxa^(3)xxN_(0)xx10^(-30))/(M)`
Atomic mass of titanium (M) = 48 g `mol^(-1)`
Avogadro's no `(N_(0))=6.022xx10^(23)"mol"^(-1)`
Edge length of unit cell (a) = 412.6 pm = 412.6
`z=((4.54"g cm"^(-3))xx(412.6)^(3)xx(6.022xx10^(23)mol^(-1))xx(10^(-30)cm^(3)))/("48 g" mol^(-1))=4 ("fcc unit cell")`
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    DINESH PUBLICATION|Exercise MULTIPLE CHOCIE QUESTION (TYPE-I)|63 Videos

  • SOLID STATE

    DINESH PUBLICATION|Exercise ASSIGNMENT|134 Videos

  • SOLID STATE

    DINESH PUBLICATION|Exercise HIGHER ORDER THINKING SKILLS (HOTS) QUESTIONS|7 Videos

  • REDOX REACTIONS

    DINESH PUBLICATION|Exercise Ultimate Preparation|9 Videos

  • SOLUTIONS

    DINESH PUBLICATION|Exercise ULTIMATE PREPARATORY PACKAGE|10 Videos

Similar Questions

Explore conceptually related problems

An element crystallises in the fcc crystal lattice and has a density of 10 g cm^(-3) with unit cell edge length of 100 pm . Calculate number of atoms present in 1 g of crystal.

Aluminium metal has a density of 2.72 g cm^(-3) and crystallizes in a cubic lattice with an edge of 404 pm. Which is//are correct?

The cubic unit cell of Al (molar mass 27 g "mol"^(-1) ) has an edge length of 405 pm. Its density is 2.7gcm^(-3) . The cubic unit cell is :

An element with atomic mass 93 g mol^(-1) has density 11.5 g cm^(-3) . If the edge length of its unit cell is 300 pm, identify the type of unit cell.

The cubic unit cell of a metal (molar mass= 63.55 "mol"^(-1) ) has an edge length of 362pm. Its density is 8.92gcm^(-3) . The type of unit cell is

The density of potassium bromide crystal is 2.75 g cm^(-3) and the length of an edge of a unit cell is 654 pm. The unit cell of KBr is one of three types of cubic unit cells. How many formula units of KBr are there in a unit cell ? Does the unit cell have a NaCl or CsCl structure ?

DINESH PUBLICATION-SOLID STATE-PROBLEMS
  1. The density of a face centred cubic element (atomic mass = 60.2 amu) i...

    Text Solution

    |

  2. A metal (atomic mass = 50 ) has a body centred cubic crystal structure...

    Text Solution

    |

  3. The compound CuCl has Zns structure. Its density is 3.4 g cm^(-3). Wha...

    Text Solution

    |

  4. KF has NaCl structure. What is the distance between K^(+) and F^(-) in...

    Text Solution

    |

  5. An element of atomic number 52 occurs in bcc structure with cell edge ...

    Text Solution

    |

  6. Gold has cubic crystals whose unic cell has edge length of 407.9 pm. D...

    Text Solution

    |

  7. Titanium metal has a density of 4.54 "g cm"^(-3) and an edge length of...

    Text Solution

    |

  8. Iron has body centred cubic cell with a cell edge of 286.5 pm. The den...

    Text Solution

    |

  9. Formula mass of NaCl is 58.45g mol^(-1) and density of its pure form i...

    Text Solution

    |

  10. Sodium crystallises in a cubic lattice and the edge length of the unit...

    Text Solution

    |

  11. Tungsten has a density of 19.35 g cm^(-3) and the length of the side o...

    Text Solution

    |

  12. Determine the type of cubic lattice to which a crystal belongs if the ...

    Text Solution

    |

  13. An element crystallizes into a structure which may be describes by a c...

    Text Solution

    |

  14. An element with density 10 g cm^(-3) forms a cubic unit cell with edge...

    Text Solution

    |

  15. An element crystallizes in f.c.c. lattice with edge length of 400 pm. ...

    Text Solution

    |

  16. An element with atomic mass 93 g mol^(-1) has density 11.5 g cm^(-3). ...

    Text Solution

    |

  17. If NaCl is doped with 10^(-3) mol% of SrCl(2), what is the concentrati...

    Text Solution

    |

  18. The metal calcium crystallises in fcc unit cell with a = 600 pm. Calcu...

    Text Solution

    |

  19. Analysis shows that nickel oxide has the formula Ni(0.98)O(1.00). What...

    Text Solution

    |

  20. X-ray diffraction studies show that edge length of a unit cell of NaCl...

    Text Solution

    |