#### Question

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

(Use Mass of proton m_{p} = 1.007276 u, Mass of `""_1^1"H"` atom = 1.007825 u, Mass of neutron m_{n} = 1.008665 u, Mass of electron = 0.0005486 u ≈ 511 keV/c^{2},1 u = 931 MeV/c^{2}.)

#### Solution

Given:-

Atomic mass of ^{8}Be = 8.0053 u

Atomic mass of ^{4}He = 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.

Is there an error in this question or solution?

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.