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Calculate the Q-value of the fusion reac...

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

Text Solution

Verified by Experts

The correct Answer is:
`3`
`.^(4)He+^(4)He=.^(8)Be+Q`
(1) `Deltam=2xx4.0026-8.0053`
`=8.0052-8.0053= -0.0001 "amu" Ans`
(2) `Q=(2m_(He)-M_(Be)).C^(2)`
`=(2xx4.0026-8.0053)xx930MeV`
`= -93.0 KeV`
Since `Q` is negative the fusion is not energetically favorable.
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