Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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Calculate the Q-value of the Fusion Reaction 4he + 4he = 8be. is Such a Fusion Energetically Favourable? Atomic Mass of 8be is 8.0053 U and that of 4he is 4.0026 U. - Physics

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Question

Calculate the Q-value of the fusion reaction 4He + 4He = 8Be. Is such a fusion energetically favourable? Atomic mass of 8Be is 8.0053 u and that of 4He is 4.0026 u.

(Use Mass of proton mp = 1.007276 u, Mass of `""_1^1"H"` atom = 1.007825 u, Mass of neutron mn = 1.008665 u, Mass of electron = 0.0005486 u ≈ 511 keV/c2,1 u = 931 MeV/c2.)

Solution

Given:-

Atomic mass of 8Be = 8.0053 u
Atomic mass of 4He = 4.0026 u

Required Q-value = `(2 xx 4.0026 - 8.0053) c^2`

`= 0.0001 xx 931  "MeV"`

`= 0.0001 xx 931 xx 10^6  "eV"`

= 93.1  KeV

No, such reaction is not favourable.

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Solution Calculate the Q-value of the Fusion Reaction 4he + 4he = 8be. is Such a Fusion Energetically Favourable? Atomic Mass of 8be is 8.0053 U and that of 4he is 4.0026 U. Concept: Nuclear Energy - Fission.
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