Home
Class 12
CHEMISTRY
What is the density of Na(2)O having ant...

What is the density of `Na_(2)O` having antifluorite-type crystal structure, if the edge length of cube is 100 pm and what is the effect on density by 0.05% Frenkel defect?

A

`823.5gcm^(-3)`, density decreases

B

`414.16gcm^(-3)`, density decreases

C

`823.5gcm^(-3)`, density remains same

D

`414.16gcm^(-3)`, density remains same

Text Solution

Verified by Experts

The correct Answer is:
D
Density `(rho)=(Z^(eff)xxMw)/(N_(A)xxa^(3))`
(For antifluorite, `Z_(eff)` = 4/unit cell).
`rho=(4xx[23xx2+16])/(6xx10^(23)xx(100xx10^(-10)cm)^(3)),[1"pm"=10^(-12)m=10^(-10)cm]=414.16gcm^(-3)`
Promotional Banner

Topper's Solved these Questions

  • SOLID STATE

    BRILLIANT PUBLICATION|Exercise LEVEL-II (ASSERTION - REASON TYPE)|20 Videos

  • SOLID STATE

    BRILLIANT PUBLICATION|Exercise QUESTIONS|14 Videos

  • SOLID STATE

    BRILLIANT PUBLICATION|Exercise LEVEL-I|50 Videos

  • REDOX REACTION & ELECTROCHEMISTRY

    BRILLIANT PUBLICATION|Exercise QUESTION (ELECTROCHEMISTRY) (LEVEL -II) (ASSERTION-REASON)|3 Videos

  • SOLUTIONS

    BRILLIANT PUBLICATION|Exercise Level-III (Linked Comprehension Type)|12 Videos

Similar Questions

Explore conceptually related problems

Calcium crystallises in fcc lattice with edge length 0.5 nm. What is the density if it contains 0.1% Shottky defect?

Calcium crystallizes in a FCC unitcell with edge length 0.556nm.Calculate the density of the metal If it contains 0.2% Frenkel defects.

A solid AB has NaCl type structure with edge length 580.54 pm.The radius of A^(+) is 100 pm. The radius of B^(-) is

What is the effect of the presence of Schottky defects on the density of a crystal?

At 0^@C , the density of a certain oxide of a gas at 2 bar is the same as that of N_2 at 5 bar. What is the molecular mass of the oxide?

A face centred cubic element (atomic mass -60) has a cell edge length of 400 pm. What is its density?

A metal of density 7.5xx10^(3) kg m^(-3) has an fcc crystal structure with lattice parameter a = 400 pm. Calculate the number of unit cells present in 0.015 kg of the metal.

Density of a unit cell is the same as the density of the substance. So, if the density of the substance is known, we can calculate the number of atoms or dimensions of the unit cell. The density of the unit cell is related to its formula mass (M), number of atoms per unit cell (z), edge length (a in cm), and Avogadro's constant N_(A) , as rho=(zxxM)/(a^(3)xxN_(A)) Q. An element X crystallizes in a structure having an fcc unit cell of an edge 100 pm. if 24 g of the element contains 24xx10^(23) atoms, the density is

Density of a unit cell is the same as the density of the substance. So, if the density of the substance is known, we can calculate the number of atoms or dimensions of the unit cell. The density of the unit cell is related to its formula mass (M), number of atoms per unit cell (z), edge length (a in cm), and Avogadro's constant N_(A) , as rho=(zxxM)/(a^(3)xxN_(A)) Q. A metal A (atomic mass=60) has a body-centred cubic crystal structure. the density of the metal is 4.2 g cm^(-3) . the volume of unit cell is

BRILLIANT PUBLICATION-SOLID STATE-LEVEL-II
  1. A solid has a b.c.c. structure. If the distance of closest approach be...

    Text Solution

    |

  2. Experimentally it was found that a metal oxide has formula M(0.98)O. M...

    Text Solution

    |

  3. In a close packed face-centred unit cell, are all lattice positions oc...

    Text Solution

    |

  4. Element X crystallizes in a 12 co-ordination fcc lattice. On applying ...

    Text Solution

    |

  5. For which of the following crystals would you expect the assumption of...

    Text Solution

    |

  6. A compound of A, B and C has cubic close packed arrangement of A, B oc...

    Text Solution

    |

  7. The compound MO (molar mass = 100 g mol^(-1)) has zinc-blende structur...

    Text Solution

    |

  8. An ionic compound MX has rock-salt structure. If r(c)=120 pm and r(a)=...

    Text Solution

    |

  9. What is the density of Na(2)O having antifluorite-type crystal structu...

    Text Solution

    |

  10. In cubic ZnS if the radii of Zn^(2+) and S^(2-) atoms are 0.74 Å and 1...

    Text Solution

    |

  11. The gamma-form of iron has fcc structure (edge length 386 pm) and beta...

    Text Solution

    |

  12. An element forms crystals of density of 8570kgm^(-3). The packing effi...

    Text Solution

    |

  13. In bronze, copper forms fcc arrangement and tin occupies interstitial ...

    Text Solution

    |

  14. A metal of density 7.5xx10^(3) kg m^(-3) has an fcc crystal structure ...

    Text Solution

    |

  15. The ratio of the volume of a tetragonal lattice unit cell to that of a...

    Text Solution

    |

  16. The correct statement regarding defects in solids is

    Text Solution

    |

  17. A certain sample of cuprous sulphide is found to have composition Cu(1...

    Text Solution

    |

  18. Ammonium chloride crystallises in CsCl type (bcc) lattice with unit ce...

    Text Solution

    |

  19. For rock salt type structure, select the incorrect statement.

    Text Solution

    |

  20. In spinel structure, O^(2-) ions are cubic-close packed, where 1/8th o...

    Text Solution

    |