NEET-XII-Physics

13: Nuclei

page 3
  • #30
    Calculate and compare the energy released by a) fusion of 1.0 kg of hydrogen deep within Sun and b) the fission of 1.0 kg of 235U in a fission reactor.
    Ans : a) Amount of hydrogen, m = 1 kg = 1000 g

    1 mole, i.e., 1 g of hydrogen () contains 6.023 × 1023 atoms.

    ∴1000 g of contains 6.023 × 1023 × 1000 atoms.

    Within the sun, four nuclei combine and form one nucleus. In this process 26 MeV of energy is released.

    Hence, the energy released from the fusion of 1 kg is:



    b) Amount of = 1 kg = 1000 g

    1 mole, i.e., 235 g of contains 6.023 × 1023 atoms.

    ∴1000 g ofcontains

    It is known that the amount of energy released in the fission of one atom of is 200 MeV.

    Hence, energy released from the fission of 1 kg of is:



    ∴

    Therefore, the energy released in the fusion of 1 kg of hydrogen is nearly 8 times the energy released in the fission of 1 kg of uranium.