Home
Class 12
CHEMISTRY
If the lattice parameter of Si = 5.43 Å ...

If the lattice parameter of `Si = 5.43 Å` and the mass of `Si` atom is `28.08 xx 1.66 xx10^(-27) kg`, the density of silicon in `kg m^(-3)` is (Given: Silicon has diamondcubic structure)

A

2330

B

1115

C

3445

D

1673

Text Solution

Verified by Experts

Si has FCC structure and Si atoms are present in alternate tetrahedral voids. So the total number of atoms = 8
`(("no.ofatoms")xx("mass of one atom"))/("volumeof unit celll")`
density`= (8xx(28.08xx1.66xx10^(-27))"kg")/((5.43xx10^(-10))^(3)m^(2))=2330 "kgm^(-3)`
Promotional Banner

Topper's Solved these Questions

  • THE SOLID STATE

    VMC MODULES ENGLISH|Exercise LEVEL-2 (Numerical Value Type for JEE Main )|15 Videos

  • THE SOLID STATE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive )|39 Videos

  • THE SOLID STATE

    VMC MODULES ENGLISH|Exercise LEVEL-1|75 Videos

  • SURFACE CHEMISTRY

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE|9 Videos

  • THEORY OF SOLUTIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|31 Videos

Similar Questions

Explore conceptually related problems

The density of iron is 7.8xx 10^3 "kg m"^(-3) What is its relative density?

Use Avogadrs's number to show that the atomic mass unit is 1 u =1.66 xx 10^(-27) kg .

The average mass of an atom of uranium is 3.9xx10^(-25) kg. Find the number of atom is 1 g of uranium.

A bar magnet made of steel has a magnetic moment of 2.5 A m^2 and amass of 6.6 xx 10^(-5) kg . If the density of steel is 7.9 xx 10^3 kg m^(-3) , find the intensity of magnetization of the magnet.

The nuclear radius of ._(8)O^(16) is 3 xx10^(-15) m . If an atomic mass unit is 1.67 xx 10^(-27) kg , then the nuclear density is approximately.

Relative density of silver is 10.8. The density of water is 10^3(kg)/(m^3 . What is the density of silver in SI.

If an object of mass 10 kg occupies a volume of 0.50 m^(3) , it density in SI units is

Order of magnitude of density of uranium nucleus is , [m = 1.67 xx 10^(-27 kg]

The mass of a molecule of hydrogen is 3.332xx10^(-27) kg. Find the mass of 1 kg mol of hydrogen gas.

The bulk modulus of mercury is 2.8 xx 10^(10)" N/m"^2 and the density is 13600 kg/m ""^2. What is the speed of sound in mercury ?

VMC MODULES ENGLISH-THE SOLID STATE-LEVEL-2
  1. In a unit cell, atoms (A) are present at all corner lattices, (B) are ...

    Text Solution

    |

  2. In a unit cell, atoms (A) are present at all corner lattices, (B) are ...

    Text Solution

    |

  3. If the lattice parameter of Si = 5.43 Å and the mass of Si atom is 28....

    Text Solution

    |

  4. The lacttice parameter of GaAs (radius of Ga = 1.22 Å, As = 1.25 Å) is

    Text Solution

    |

  5. In cubic ZnS (II-VI) compounds, if the radii of Zn and S atoms are 0.7...

    Text Solution

    |

  6. An elemental crystal has density of 8570 kg m^(-3). The packing effici...

    Text Solution

    |

  7. A metal (M^(@) = 100 gm/mole) having density 10 gm/cm^(3) forms a cubi...

    Text Solution

    |

  8. Every atom or ion that forms an fcc unit cell is surrounded by

    Text Solution

    |

  9. Consider the structure of CsCl (8: 8 coordination). How many Cs^(o+) i...

    Text Solution

    |

  10. A metal of density 7.5 xx 10^(3) kg m^(-3) has an fcc crystal structur...

    Text Solution

    |

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

    Text Solution

    |

  12. An fcc lattice has a lattice parameter a = 400 pm. Calculater the mola...

    Text Solution

    |

  13. A TV in fcc is formed by atoms at

    Text Solution

    |

  14. What is the density of Na(2)O having antifluorite-type crystgal stryct...

    Text Solution

    |

  15. If the radious of Cs^(o+) = 1.69 Å and Br^(Θ) = 1.95 Å, then which of ...

    Text Solution

    |

  16. Given is the arrangement of atoms in a crystallographic plane. Which...

    Text Solution

    |

  17. In an fcc unit cell, atoms are numbered as shown below The atoms ...

    Text Solution

    |

  18. The number of nearest neighbours and next nearest neighbours of an Na^...

    Text Solution

    |

  19. In the closest packing of atoms

    Text Solution

    |

  20. To get n-type doped semiconductor, impurity to be added to silicon sho...

    Text Solution

    |