The Q-value of a reaction is the amount of energy released during the reaction. It is stated that in step 1 of the PPI thermonuclear reaction chain, 1H +1H → 2H + e+ + ν, 1.44 MeV energy is released; then in step 2: 2H + 1H → 3He + γ and step 3, 3He + 3He → 4He + 1H + 1H, 5.5 MeV and 12.8 MeV are released, respectively. Prove by appropriate calculation that the above quoted Q-values in MeV are true. The relevant masses: hydrogen 1.00782503214, helium-4 4.002603, positron 0.00054857991, deuterium 2.0141 and helium-3 3.0160 are all quoted in the atomic units of mass which is 1.6605387 × 10−27 kg. Ignore the neutrino contribution.

Principles of Physics: A Calculus-Based Text
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Chapter30: Nuclear Physics
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The Q-value of a reaction is the amount of energy released during the reaction. It is stated that
in step 1 of the PPI thermonuclear reaction chain,
1H +1H → 2H + e+ + ν,
1.44 MeV energy is released; then in step 2: 2H + 1H → 3He + γ and step 3,
3He + 3He → 4He + 1H + 1H, 5.5 MeV and 12.8 MeV are released, respectively. Prove by
appropriate calculation that the above quoted Q-values in MeV are true. The relevant masses:
hydrogen 1.00782503214, helium-4 4.002603, positron 0.00054857991, deuterium 2.0141 and
helium-3 3.0160 are all quoted in the atomic units of mass which is 1.6605387 × 10−27 kg. Ignore
the neutrino contribution. 

The Q-value of a reaction is the amount of energy released during the reaction. It is stated that
in step 1 of the PPI thermonuclear reaction chain,
¹H+¹H → 2H+e+ + v₁
1.44 MeV energy is released; then in step 2: 2H+ ¹H → ³He +y and step 3,
³He + ³He → He + ¹H + ¹H, 5.5 MeV and 12.8 MeV are released, respectively. Prove by
appropriate calculation that the above quoted Q-values in MeV are true. The relevant masses:
hydrogen 1.00782503214, helium-4 4.002603, positron 0.00054857991, deuterium 2.0141 and
helium-3 3.0160 are all quoted in the atomic units of mass which is 1.6605387 × 10-27 kg. Ignore
the neutrino contribution.
Transcribed Image Text:The Q-value of a reaction is the amount of energy released during the reaction. It is stated that in step 1 of the PPI thermonuclear reaction chain, ¹H+¹H → 2H+e+ + v₁ 1.44 MeV energy is released; then in step 2: 2H+ ¹H → ³He +y and step 3, ³He + ³He → He + ¹H + ¹H, 5.5 MeV and 12.8 MeV are released, respectively. Prove by appropriate calculation that the above quoted Q-values in MeV are true. The relevant masses: hydrogen 1.00782503214, helium-4 4.002603, positron 0.00054857991, deuterium 2.0141 and helium-3 3.0160 are all quoted in the atomic units of mass which is 1.6605387 × 10-27 kg. Ignore the neutrino contribution.
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