Home
Class 11
CHEMISTRY
Calculate the binding energy per nucleio...

Calculate the binding energy per nucleion of `Li` isotiope, which has the isotopic mass of `7.016 am u`. The indivisulal masses of netutron and proton are `1.008665 am u` and `1.007277 am u`, respectively and the mass of electron `= 0.000548 am u`.

Text Solution

Verified by Experts

The total energy given out as mass decay during binding up of nucleons is known as binding energy.
Mass of `._(3)Li^(7)` isotope `= 7.016` amu
Mass of 3 protons in it `= 3xx1.007277 = 3.022` amu
Mass of 4 neutrons in it `= 4xx1.008665 = 4.035` amu
Mass of 3 electrons in it `= 3xx0.00548 = 0.008` amu
`:.` Mass defect `= [3.022+4.035+0.002] - 7.016`
`= 0.043` amu
`Delta E = 931.478xx Delta m' MeV`
`= 0.043xx931.478 = 40.0 MeV`
`:.` Binding energy per nucleon `= (40//7) = 5.71 MeV`
Promotional Banner

Topper's Solved these Questions

  • RADIO ACTIVITY

    P BAHADUR|Exercise Exercies 2|19 Videos
  • RADIO ACTIVITY

    P BAHADUR|Exercise Exercies 3A|92 Videos
  • MOLE AND EQUIVALENT CONCEPT

    P BAHADUR|Exercise Exercise 9 Advanced numerical problems|61 Videos
  • REDOX REACTIONS

    P BAHADUR|Exercise Exercise(8) Statement:Explanation type problems|19 Videos

Similar Questions

Explore conceptually related problems

The binding energy per nucleon for ._(3)Li^(7) will be, if the mass of ._(3)Li^(7) is 7.0163 a.m.u.

Calculate the average binding energy per nucleon of ._(41)^(93)Nb having mass 9.2.906 u..

Calculate the binding energy per nucleon of ._(20)Ca^(40) nucleus. Mass of (._(20)Ca^(40)) = 39.962591 am u .

Calculate the binding energy per nucleon of ._26Fe^(56) nucleus. Given that mass of ._26Fe^(56)=55.934939u , mass of proton =1.007825u and mass of neutron =1.008665 u and 1u=931MeV .

Calculate the binding energy per nucleon for C^(12),N^(14), O^(16) , and comment on their relative magnitudes. Masses of proton and neutron are 1.0078 and 1.0087m_(u) , respectively. (m_(u)=931MeV)

Calculate the binding energy per nucleon of ._(20)^(40)Ca . Given that mass of ._(20)^(40)Ca nucleus = 39.962589 u , mass of proton = 1.007825 u . Mass of Neutron = 1.008665 u and 1 u is equivalent to 931 MeV .

P BAHADUR-RADIO ACTIVITY-Exercies 9
  1. Calculate the binding energy per nucleion of Li isotiope, which has th...

    Text Solution

    |

  2. How much energyh must a gamma- ray photon have to produce and anti-pro...

    Text Solution

    |

  3. The sun radiates energy at the rate of 4xx10^(26) joule sec^(-1). If t...

    Text Solution

    |

  4. Calcualte the energy released (in joule and MeV) in the follwing nulce...

    Text Solution

    |

  5. Consider an alpha- particle just in contact with a .(92)U^(238) nucle...

    Text Solution

    |

  6. Natural nitrogen atoms has found to exist in two isotopic forms, .(7)N...

    Text Solution

    |

  7. .(92)U^(238) is a neutral alpha- emitter. After alpha- emission, the r...

    Text Solution

    |

  8. How much heat would be developed per hour form 1 curie of C^(14) sourc...

    Text Solution

    |

  9. In a nuclear reactor, U^(235) undergoes fission libertaing 200 MeV of...

    Text Solution

    |

  10. alpha- particles of 6 MeV energy is scattered back form a silver foil....

    Text Solution

    |

  11. The activity of a radioactive isotope falls to 12.5% in 90 days. Compu...

    Text Solution

    |

  12. A mixture is to eb anlysed for penicllin. You add 10.0 mg fo penicllin...

    Text Solution

    |

  13. An archeological speciment containing .^(14)C gives 40 counts in 5 min...

    Text Solution

    |

  14. Upon irradiating californium with neutrons, a scientist discovered a n...

    Text Solution

    |

  15. Equal masses of two samples of charcoal A and B are burnt separately ...

    Text Solution

    |

  16. One gram of .(79)Au^(198) (t(1//2) = 65hr) decays by beta- emission to...

    Text Solution

    |

  17. 1g Ra^(226) is placed in an evacused tube whose volume is 5 cc, Assumi...

    Text Solution

    |

  18. The activity of the hair of an egyptain mummy is 7 disinetgration "mi...

    Text Solution

    |

  19. The decay constant for an alpha- decay of Th^(232) is 1.58xx10^(-10) s...

    Text Solution

    |

  20. Two reacants A and B are present such that [A(0)] = 4[B(0)] and t(1//2...

    Text Solution

    |

  21. Two ratio-isotopes P and Q atomic weight 100 and 200 respectively are ...

    Text Solution

    |