Home
Class 12
CHEMISTRY
What fraction (n/N) of the lattice sites...

What fraction (n/N) of the lattice sites are vacant at 298 K for a crystal in which the energy required to make a defect is 1 eV.`(1 eV = 1.602 xx 10^(-19) J)`

Text Solution

Verified by Experts

We have,
`n/N =e^(-(E_(0)/(kt))`
`ln n/N = -E_(v)/(kT)`
or `logn/N = -E_(v)/(2.303kT) = -(1.602 xx 10^(-19))/(2.303 xx (8.314//6.022 xx 10^(23)) xx 298)`
On solving, `n/N = 1.24 xx 10^(-17)`
Promotional Banner

Topper's Solved these Questions

  • SOLID AND LIQUID STATES

    RC MUKHERJEE|Exercise PROBLMES (ANSWERS BRACKTED WITH QUESTIONS) |38 Videos
  • SOLID AND LIQUID STATES

    RC MUKHERJEE|Exercise OBJECTIVE PROBLEMS |51 Videos
  • PROPERTIES OF GASES

    RC MUKHERJEE|Exercise OBJECTIVE PROBLEMS|5 Videos
  • VOLUMETRIC CALCULATIONS

    RC MUKHERJEE|Exercise OBJECTIVE PROBLEMS |37 Videos

Similar Questions

Explore conceptually related problems

An electron is accelerated in between two plates maintained at 1000 V . What is the energy in eV acquired by the electrons? (e=1.6 xx10^(-19) C)

Calculate the wavelength and energy of radiation for the elctronic transition form infinity to ground state for one H-atom . Given e_1 =- 13. 6 eV ( 1 1 eV = 1,. 6 xx 10^(-19) J) .

Calculate the velocity of electron ejected from a platium surface when radiation of 200 nm falls on it .The work function of platinum is 5 eV(1 eV = 1.6 xx 10^(-19) J)

The mole fraction of Schottky defect and Frenkel defects, in NaCl crystal at 1000K are respectively. If energy required to produce these defects are 2eV and 3eV respectively. (1eV=1.6xx10^(-19)J and k=1.38xx10^(-23)JK^(-1))

The number of Schottky defects (n) present in an ionic compound containing N ions at temperature T is given by n = Ne^(-E//2KT) , where E is the energy required to create n Schottky defects and K is the Boltzmann constant, If the mole fraction of Schottky defect in NaCl crystal at 2900 K is X , then calculate -ln(x) , Given: DeltaH of Schottky defect = 2 eV and K = 1.38 xx 10^(-23) J K^(-1) 1 eV = 1.608 xx 10^(-19) J

RC MUKHERJEE-SOLID AND LIQUID STATES -OBJECTIVE PROBLEMS
  1. What fraction (n/N) of the lattice sites are vacant at 298 K for a cry...

    Text Solution

    |

  2. Which of the following is an amorphous solid?

    Text Solution

    |

  3. Which of the following is not a property of crystalline substance

    Text Solution

    |

  4. A crystal may have one or more planes of symmetry as well as one or mo...

    Text Solution

    |

  5. The number of basic crystal systems is

    Text Solution

    |

  6. The total number of elements of symmetry in a cubic crystal is

    Text Solution

    |

  7. The number of Bravais lattices in a cubic crystal is:

    Text Solution

    |

  8. In a sodium chloride crystal, each chloride ion is surrounded by:

    Text Solution

    |

  9. The structure of CsCl crystal is:

    Text Solution

    |

  10. The structure of NaCl crystal is:

    Text Solution

    |

  11. The arrangement of Cl^(-) ions in CsCl structure is-

    Text Solution

    |

  12. The number of atoms per unit cell in a face-centred cube is:

    Text Solution

    |

  13. The coordination number of a body-centred atom in cubic structure is

    Text Solution

    |

  14. Close packing is maximum in the crystal which is

    Text Solution

    |

  15. In a body-centred cubic arrangement the ion A occupies the centre whil...

    Text Solution

    |

  16. The number of atoms per unit cell in a simple cube, face - centred cub...

    Text Solution

    |

  17. The radius of an ion in a body-centred cube of edge a is:

    Text Solution

    |

  18. The volume occupied by an atom in a simple cubic unit cell is:

    Text Solution

    |

  19. In a body centred cubic cell an atom at the body of centre is shared b...

    Text Solution

    |

  20. In a face centred cubic cell, an atom at the face centre is shared by-

    Text Solution

    |

  21. An atom at the corner of a simple cubic cell is shared by:

    Text Solution

    |